1.1.1: Real/Complex Numbers: Computation
1.1.1.1: [RIT 257 - 278] Simplifies expressions involving the relation i² = -1
1.1.1.2: [RIT 279 - 279] Determines the conjugate of a complex number
Points in the Complex Plane
Roots of a Quadratic
1.1.2: Decimals: Represent/Model
1.1.2.1: [RIT 209 - 221] Locates decimals to the hundredths on a number line
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)
1.1.3: Exponents
1.1.3.2: [RIT 221 - 233] Represents a whole number as a power of a whole number
Finding Factors with Area Models
1.1.4: Absolute Value: Concepts/Properties
1.1.4.1: [RIT 227 - 228] Evaluates the absolute value of a number
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
1.1.5: Properties and Relationships of Operations
1.1.5.1: [RIT 209 - 217] Understands that a number and its opposite are the same distance from 0 on a number line
Integers, Opposites, and Absolute Values
1.1.6: Real/Complex Numbers: Concepts/Properties
1.1.6.3: [RIT 231 - 251] Compares and orders real numbers
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
1.1.7: Rational Numbers: Equivalence
1.1.7.1: [RIT 209 - 232] Converts between decimals and fractions with denominators of 10 or 100
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
1.1.7.2: [RIT 211 - 237] Converts between decimals and fractions with denominators of 2, 4, or 5
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
1.1.7.4: [RIT 227 - 233] Converts between decimals and fractions with a denominator of 3
Fraction, Decimal, Percent (Area and Grid Models)
1.1.8: Rational Numbers: Compare/Order
1.1.8.3: [RIT 211 - 211] Compares integers
Integers, Opposites, and Absolute Values
1.1.8.4: [RIT 218 - 255] Orders positive and negative rational numbers
Rational Numbers, Opposites, and Absolute Values
1.1.8.5: [RIT 224 - 230] Compares positive rational numbers represented in multiple forms
Ordering Percents, Fractions, and Decimals Greater Than 1
1.1.9: Rational Numbers: Represent/Model
1.1.9.1: [RIT 191 - 219] Understands positive and negative numbers in terms of real-world situations
Integers, Opposites, and Absolute Values
1.1.9.2: [RIT 200 - 218] Locates integers on a number line
Integers, Opposites, and Absolute Values
1.1.9.3: [RIT 204 - 204] Locates positive and negative rational numbers on a number line
Rational Numbers, Opposites, and Absolute Values
1.1.9.4: [RIT 214 - 232] Locates negative rational numbers on a number line
Rational Numbers, Opposites, and Absolute Values
1.1.10: Scientific Notation
1.1.10.1: [RIT 224 - 230] Converts a number from scientific notation to standard form
Unit Conversions 2 - Scientific Notation and Significant Digits
1.1.10.2: [RIT 229 - 250] Converts a number from standard form to scientific notation
Number Systems
Unit Conversions 2 - Scientific Notation and Significant Digits
1.2.1: Properties and Relationships of Operations
1.2.1.1: [RIT 184 - 214] Identifies the missing value in an equation to show that a number and its opposite have a sum of 0
Solving Algebraic Equations II
1.2.1.3: [RIT 222 - 231] Locates the additive inverse of a number on a number line
Integers, Opposites, and Absolute Values
1.2.1.4: [RIT 228 - 242] Understands the additive inverse property
Integers, Opposites, and Absolute Values
Solving Algebraic Equations I
Solving Algebraic Equations II
1.2.1.5: [RIT 231 - 231] Names the property of operation shown by a given statement
1.2.1.6: [RIT 243 - 243] Understands the multiplicative inverse property
Solving Algebraic Equations I
Solving Algebraic Equations II
1.2.1.7: [RIT 243 - 243] Understands a negative number is less than its opposite
Integers, Opposites, and Absolute Values
1.2.1.8: [RIT 245 - 245] Understands the multiplicative identity property
1.2.1.9: [RIT 262 - 262] Defines properties of equality
Solving Algebraic Equations II
1.3.1: Whole Numbers: Concepts/Properties
1.3.1.1: [RIT 201 - 201] Determines prime factorization of a number using a factor tree
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
1.3.1.2: [RIT 208 - 242] Determines common multiples
1.3.1.3: [RIT 210 - 220] Determines greatest common factors
Factor Trees (Factoring Numbers)
1.3.1.4: [RIT 211 - 253] Solves real-world problems involving the least common multiple
1.3.1.5: [RIT 213 - 256] Determines least common multiples
1.3.1.7: [RIT 218 - 243] Determines the prime factorization of a number
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
1.3.1.8: [RIT 219 - 245] Determines common factors
1.3.1.9: [RIT 222 - 223] Identifies prime and composite numbers
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
1.3.1.10: [RIT 235 - 240] Identifies true statements about number-theory concepts, including prime, composite, multiples, factors, least common multiples, and greatest common factors
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Pattern Flip (Patterns)
1.3.1.11: [RIT 237 - 237] Identifies factors of numbers greater than 100
Finding Factors with Area Models
1.3.1.13: [RIT 259 - 259] Solves problems by applying multiple number-theory concepts, including prime numbers, multiples, factors, least common multiples, and greatest common factors
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Pattern Flip (Patterns)
2.1.1: Matrices and Vectors
2.1.1.3: [RIT 234 - 244] Adds and subtracts matrices
2.1.1.4: [RIT 235 - 235] Multiplies matrices by scalars
2.1.1.6: [RIT 247 - 247] Performs multiple operations with matrices
Dilations
Solving Linear Systems (Matrices and Special Solutions)
Translations
2.1.2: Numerical Expressions
2.1.2.1: [RIT 227 - 227] Applies the order of operations, with grouping symbols and excluding exponents, to simplify numerical expressions involving both positive and negative rational numbers
2.1.2.2: [RIT 234 - 234] Represents real-world problems involving the addition and subtraction of integers with numerical expressions
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
2.1.4: Real/Complex Numbers: Computation
2.1.4.1: [RIT 231 - 255] Adds and subtracts complex numbers
2.1.4.2: [RIT 269 - 281] Multiplies complex numbers
2.1.5: Exponents
2.1.5.1: [RIT 212 - 221] Evaluates numbers with whole-number bases and whole-number exponents
2.1.5.2: [RIT 235 - 235] Evaluates numbers with negative integer bases and whole-number exponents
2.1.6: Rational Numbers: Computation
2.1.6.1: [RIT 225 - 253] Multiplies rational numbers, including combinations of positive or negative fractions, decimals, and integers
Adding and Subtracting Integers
2.1.6.2: [RIT 228 - 242] Adds and subtracts rational numbers, including combinations of positive or negative fractions, decimals, and integers
2.1.7: Rational Numbers: Solve Real-World and Mathematical Problems
2.1.7.1: [RIT 202 - 244] Solves real-world problems involving the addition and subtraction of integers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
2.1.8: Scientific Notation
2.1.8.1: [RIT 233 - 244] Solves real-world problems with numbers expressed in scientific notation
Unit Conversions 2 - Scientific Notation and Significant Digits
2.1.8.2: [RIT 235 - 278] Multiplies and divides numbers expressed in scientific notation
Unit Conversions 2 - Scientific Notation and Significant Digits
2.1.9: Radicals
2.1.9.1: [RIT 228 - 260] Evaluates the square root of a perfect square
Ordering and Approximating Square Roots
Square Roots
2.1.9.2: [RIT 263 - 273] Multiplies binomial radical expressions
Operations with Radical Expressions
2.1.10: Integers: Computation
2.1.10.1: [RIT 211 - 229] Adds and subtracts integers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
2.1.10.2: [RIT 212 - 220] Multiplies and divides integers
Adding and Subtracting Integers
2.1.10.3: [RIT 229 - 236] Represents addition and subtraction of integers on a number line
Adding and Subtracting Integers
2.1.10.4: [RIT 231 - 231] Understands subtracting an integer is the same as adding its opposite
Adding and Subtracting Integers
2.2.1: Conversion of Units
2.2.1.1: [RIT 219 - 219] Converts unit rates to solve real-world problems
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.1.2: [RIT 224 - 257] Converts units of speed
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.2: Rates/Ratios/Proportions/Percents
2.2.2.1: [RIT 185 - 220] Represents percents less than 100% using models
Fraction, Decimal, Percent (Area and Grid Models)
Ordering Percents, Fractions, and Decimals Greater Than 1
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
2.2.2.2: [RIT 188 - 228] Solves for a missing value in a proportion by basic reasoning with equivalent fractions
Percents and Proportions
Proportions and Common Multipliers
2.2.2.3: [RIT 190 - 242] Uses a given unit rate to solve a one-step real-world problem
2.2.2.4: [RIT 191 - 240] Uses ratios of whole numbers to calculate unit rates
2.2.2.5: [RIT 191 - 251] Solves real-world and mathematical problems using ratios or proportional reasoning
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
2.2.2.7: [RIT 203 - 246] Solves one-step percent problems within a real-world or mathematical context
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
2.2.2.8: [RIT 203 - 239] Converts between decimals and percents less than 100%
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.2.9: [RIT 205 - 228] Uses ratios of whole numbers and fractions to calculate unit rates
2.2.2.10: [RIT 206 - 231] Converts between percents and ratios expressed verbally or in the form a:b
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
2.2.2.11: [RIT 206 - 233] Uses ratios of whole numbers and decimals to calculate unit rates
2.2.2.12: [RIT 209 - 246] Calculates percents of numbers
Fraction, Decimal, Percent (Area and Grid Models)
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
2.2.2.15: [RIT 214 - 249] Determines equivalent ratios
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
2.2.2.16: [RIT 214 - 241] Identifies the part-to-whole ratio between two quantities
Part-to-part and Part-to-whole Ratios
2.2.2.17: [RIT 216 - 253] Solves for a missing value in a proportion by taking a cross product
2.2.2.18: [RIT 216 - 263] Uses a given unit rate to solve a multi-step real-world problem
2.2.2.19: [RIT 217 - 247] Compares unit rates within a real-world context
2.2.2.20: [RIT 219 - 239] Identifies the part-to-part ratio between two quantities
Part-to-part and Part-to-whole Ratios
2.2.2.21: [RIT 219 - 244] Calculates the percent one number is of another number
2.2.2.22: [RIT 219 - 257] Converts unit rates to solve real-world problems
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.2.23: [RIT 219 - 236] Uses ratios of decimals to calculate unit rates
2.2.2.24: [RIT 220 - 237] Calculates the whole when given a part and the percent
2.2.2.26: [RIT 225 - 234] Determines the whole in a real-world percent problem given the part and the percent
2.2.2.27: [RIT 227 - 258] Solves multi-step percent problems within a real-world or mathematical context
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents, Fractions, and Decimals
2.2.2.28: [RIT 230 - 252] Writes a proportion to solve a real-world problem
Estimating Population Size
Polling: Neighborhood
2.2.2.29: [RIT 235 - 256] Calculates the percent one number is of another number for percents greater than 100%
2.2.2.30: [RIT 235 - 258] Solves real-world problems involving percent or fractional increase
2.2.2.32: [RIT 242 - 256] Calculates simple interest
2.2.2.33: [RIT 242 - 244] Writes a corresponding linear equation for a given proportion
Percent of Change
Percents and Proportions
2.2.2.34: [RIT 251 - 255] Compares ratios within a real-world context
Part-to-part and Part-to-whole Ratios
2.2.3: Rational Numbers: Equivalence
2.2.3.1: [RIT 196 - 228] Converts between percents and fractions with denominators of 10 or 100
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.3.2: [RIT 212 - 212] Determines equivalence between fractions, decimals, and percents
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.3.3: [RIT 214 - 214] Determines equivalence between fractions and percents using models
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.3.4: [RIT 215 - 229] Converts between percents and fractions with denominators other than 10 and 100
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.3.5: [RIT 218 - 218] Determines equivalence between decimals and percents using models
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.4: Rational Numbers: Solve Real-World and Mathematical Problems
2.2.4.1: [RIT 242 - 242] Calculates simple interest
2.3.2: Real/Complex Numbers: Concepts/Properties
2.3.2.1: [RIT 227 - 260] Approximates the value of an irrational number
3.1.1: Perimeter/Circumference
3.1.1.1: [RIT 200 - 245] Solves problems involving perimeters of rectangles within a real-world or mathematical context
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
3.1.1.2: [RIT 213 - 239] Determines the circumference of circles, given the formula
Circumference and Area of Circles
3.1.1.3: [RIT 220 - 238] Solves problems involving decimals and perimeters of rectangles within a real-world or mathematical context
Perimeter and Area of Rectangles
3.1.1.4: [RIT 222 - 251] Determines the circumference of circles, formula not provided
Circumference and Area of Circles
3.1.1.6: [RIT 231 - 231] Determines the ratio between perimeters of scaled figures
Perimeters and Areas of Similar Figures
3.1.1.7: [RIT 232 - 240] Describes the effect on perimeter when dimensions of a non-rectangular polygon are changed
Perimeters and Areas of Similar Figures
3.1.1.8: [RIT 233 - 244] Identifies the formula for the perimeter of a polygon
Perimeter and Area of Rectangles
3.1.1.9: [RIT 248 - 248] Solves problems involving perimeters of non-rectangular polygons within a real-world or mathematical context
Fido's Flower Bed (Perimeter and Area)
3.2.1: Area
3.2.1.1: [RIT 200 - 222] Determines the area of rectangles with whole-number sides, given the formula
Multiplying Decimals (Area Model)
Perimeter and Area of Rectangles
3.2.1.2: [RIT 201 - 224] Determines the area of rectangles with whole-number sides, formula not provided
Multiplying Decimals (Area Model)
Perimeter and Area of Rectangles
3.2.1.3: [RIT 206 - 226] Determines the area of figures composed of whole and partial unit squares
Multiplying Decimals (Area Model)
Multiplying with Decimals
3.2.1.4: [RIT 206 - 224] Determines side lengths given the area of rectangles
Perimeter and Area of Rectangles
3.2.1.5: [RIT 209 - 238] Solves problems involving areas of rectangles within a real-world or mathematical context
Chocomatic (Multiplication, Arrays, and Area)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Perimeter and Area of Rectangles
3.2.1.6: [RIT 213 - 250] Determines the area of parallelograms, formula not provided
3.2.1.8: [RIT 223 - 242] Determines the area of rectangles with decimal sides, formula not provided
Perimeter and Area of Rectangles
3.2.1.9: [RIT 223 - 245] Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
3.2.1.10: [RIT 224 - 224] Determines the base or height given the area of a parallelogram
3.2.1.11: [RIT 224 - 252] Describes the effect on area when dimensions of a triangle are changed
3.2.1.12: [RIT 224 - 257] Describes the effect on area when dimensions of a rectangle are changed
Perimeter and Area of Rectangles
3.2.1.15: [RIT 228 - 267] Solves problems involving areas of figures composed of polygons within a real-world or mathematical context
Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
3.2.1.16: [RIT 230 - 235] Determines the area of triangles, given the formula
3.2.1.18: [RIT 232 - 232] Identifies the formula for the area of a circle
Circumference and Area of Circles
3.2.1.19: [RIT 234 - 239] Determines the area of circles, given the formula
Circumference and Area of Circles
3.2.1.20: [RIT 235 - 260] Determines the perimeter of rectangles given the area
Fido's Flower Bed (Perimeter and Area)
3.2.1.21: [RIT 236 - 260] Determines the area of figures composed of polygons
Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
3.2.1.22: [RIT 236 - 254] Determines the area of triangles, formula not provided
3.2.1.23: [RIT 237 - 250] Determines the area of rectangles given the perimeter
Perimeter and Area of Rectangles
3.2.1.24: [RIT 240 - 269] Determines the ratio between areas of scaled figures
Perimeters and Areas of Similar Figures
3.2.1.27: [RIT 244 - 260] Determines the circumference given the area of a circle
Circumference and Area of Circles
3.2.1.29: [RIT 247 - 247] Determines the radius or diameter given the area of a circle
Circumference and Area of Circles
3.2.1.30: [RIT 249 - 257] Determines the area of circles, formula not provided
Circumference and Area of Circles
3.2.1.31: [RIT 251 - 251] Determines the area of figures composed of polygons and circles
Circumference and Area of Circles
3.2.1.34: [RIT 260 - 270] Describes the effect on area when the radius or diameter of a circle is changed
Circumference and Area of Circles
3.2.1.35: [RIT 261 - 261] Describes the effect on area when the circumference of a circle is changed
Circumference and Area of Circles
3.2.1.37: [RIT 265 - 265] Solves problems involving areas of circles within a real-world or mathematical context
Circumference and Area of Circles
3.2.3: Surface Area
3.2.3.1: [RIT 236 - 248] Uses the net of a prism to solve surface area problems within a real-world or mathematical context
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.2: [RIT 238 - 261] Determines the surface area of rectangular prisms or cubes, formula not provided
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.4: [RIT 241 - 248] Determines the surface area of a prism given a net
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.5: [RIT 241 - 241] Determines the surface area of cylinders, given the formula
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.6: [RIT 246 - 246] Determines the surface area of cones, given the formula
Surface and Lateral Areas of Pyramids and Cones
3.2.3.7: [RIT 251 - 252] Determines the surface area of pyramids, given the formula
Surface and Lateral Areas of Pyramids and Cones
3.2.3.8: [RIT 252 - 256] Determines the surface area of pyramids, formula not provided
Surface and Lateral Areas of Pyramids and Cones
3.2.3.9: [RIT 252 - 252] Determines the surface area of triangular prisms, formula not provided
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.10: [RIT 255 - 263] Describes the effect on surface area when dimensions of a rectangular prism are changed
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.12: [RIT 260 - 263] Solves problems involving surface areas of prisms within a real-world or mathematical context
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.13: [RIT 266 - 269] Determines the surface area of cylinders, formula not provided
Surface and Lateral Areas of Prisms and Cylinders
3.3.1: Conversion of Units
3.3.1.1: [RIT 282 - 282] Converts units of volume within the same measurement system
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
3.3.2: Volume
3.3.2.1: [RIT 206 - 225] Determines the volume of figures by counting unit cubes
Balancing Blocks (Volume)
Measuring Volume
3.3.2.2: [RIT 206 - 229] Determines the volume of rectangular prisms, given the formula
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.3: [RIT 207 - 241] Determines the volume of rectangular prisms, formula not provided
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.4: [RIT 218 - 218] Solves problems involving rectangular prisms composed of unit cubes
Balancing Blocks (Volume)
Measuring Volume
3.3.2.5: [RIT 220 - 264] Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.6: [RIT 226 - 226] Identifies the formula for the volume of a rectangular prism
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.7: [RIT 227 - 244] Identifies units for measuring volume
Measuring Volume
Prisms and Cylinders
Pyramids and Cones
3.3.2.9: [RIT 231 - 253] Determines the volume of figures composed of rectangular prisms
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.11: [RIT 235 - 268] Determines the volume of pyramids, given the formula
3.3.2.12: [RIT 237 - 240] Determines the volume of cylinders, given the formula
3.3.2.13: [RIT 239 - 273] Describes the effect on volume when dimensions of a rectangular prism are changed
3.3.2.15: [RIT 245 - 245] Determines the volume of spheres, given the formula
3.3.2.16: [RIT 250 - 275] Determines the volume of cylinders, formula not provided
3.3.2.19: [RIT 254 - 274] Determines the volume of pyramids, formula not provided
3.3.2.21: [RIT 258 - 258] Determines the radius or diameter of a cylinder given the volume and height
3.3.2.26: [RIT 266 - 266] Solves problems involving volumes of 3-D figures composed of cones, cylinders, and spheres within a real-world or mathematical context
Measuring Volume
Prisms and Cylinders
Pyramids and Cones
3.3.2.27: [RIT 266 - 266] Determines the volume of figures composed of rectangular and triangular prisms
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
3.3.2.29: [RIT 269 - 281] Understands that the volume of a cone is one-third the volume of a cylinder with the same base area and height
3.3.2.30: [RIT 270 - 270] Determines the volume of spheres, formula not provided
3.3.2.31: [RIT 273 - 273] Determines the volume of cones, formula not provided
3.3.2.32: [RIT 276 - 276] Solves problems involving volumes of cones within a real-world or mathematical context
3.3.2.33: [RIT 278 - 278] Solves problems involving volumes of cylinders within a real-world or mathematical context
4.1.1: Geometric Constructions
4.1.1.1: [RIT 257 - 257] Identifies the geometric construction of an angle bisector
Constructing Parallel and Perpendicular Lines
4.1.1.2: [RIT 263 - 263] Identifies the geometric construction of a line segment bisector or the midpoint of a line segment
Constructing Parallel and Perpendicular Lines
4.1.2: Points, Lines, Segments, Rays, and Angles
4.1.2.1: [RIT 186 - 207] Identifies right angles
4.1.2.2: [RIT 193 - 196] Identifies parallel lines
Parallel, Intersecting, and Skew Lines
4.1.2.3: [RIT 202 - 215] Identifies points, lines, rays, line segments, and angles
Parallel, Intersecting, and Skew Lines
4.1.2.4: [RIT 202 - 209] Identifies acute or obtuse angles
4.1.2.5: [RIT 203 - 203] Knows the definition of an acute angle
4.1.2.6: [RIT 236 - 237] Identifies perpendicular lines
Constructing Parallel and Perpendicular Lines
4.1.2.7: [RIT 248 - 248] Defines midpoints of line segments
4.1.2.8: [RIT 275 - 275] Defines bisectors of line segments
4.1.3: Relationships involving Lines, Angles, and Polygons
4.1.3.1: [RIT 215 - 258] Calculates unknown angle measures using the properties of complementary, supplementary, and vertical angles
4.1.3.2: [RIT 226 - 257] Solves problems involving parallel lines cut by a transversal
4.1.3.3: [RIT 240 - 240] Defines complementary and supplementary angles
4.1.3.4: [RIT 245 - 249] Identifies corresponding, alternate interior, and alternate exterior angles
4.1.3.5: [RIT 248 - 258] Identifies complementary and supplementary angles
4.1.3.6: [RIT 253 - 267] Determines the conditions necessary to show that two lines are parallel
Constructing Parallel and Perpendicular Lines
4.1.3.7: [RIT 269 - 269] Identifies vertical angles
4.2.1: Circles
4.2.1.1: [RIT 208 - 208] Knows the number of degrees in a circle
4.2.1.2: [RIT 218 - 231] Identifies radii and diameters of circles
Circumference and Area of Circles
4.2.1.3: [RIT 236 - 236] Recognizes the relationship between the diameter and the radius of a circle
Circumference and Area of Circles
4.2.1.5: [RIT 242 - 292] Uses properties of central and inscribed angles to solve problems involving circles
Chords and Arcs
Inscribed Angles
4.2.1.6: [RIT 243 - 271] Solves problems involving inscribed angles on a diameter
4.2.1.7: [RIT 250 - 263] Understands that the ratio between the circumference and the diameter of a circle is equal to pi
Circumference and Area of Circles
4.2.1.8: [RIT 256 - 271] Uses properties of chords to solve problems involving circles
4.2.1.11: [RIT 263 - 263] Recognizes a precise definition of circles
4.2.1.12: [RIT 263 - 274] Calculates arc lengths
Chords and Arcs
Inscribed Angles
4.2.1.14: [RIT 266 - 266] Solves problems involving arc measures of a circle
4.2.2: Identification and Classification of 2-D Shapes
4.2.2.1: [RIT 210 - 260] Knows properties of parallelograms, including special parallelograms such as squares, rhombuses, etc.
4.2.2.2: [RIT 213 - 245] Knows properties of special triangles, such as acute, right, scalene, etc.
4.2.3: Relationships involving Lines, Angles, and Polygons
4.2.3.1: [RIT 194 - 194] Identifies diagonals of polygons
4.2.3.2: [RIT 220 - 250] Applies the formula for the sum of the interior angles of a polygon
4.2.3.3: [RIT 221 - 233] Applies the Triangle Angle-Sum Theorem to determine the measure of an unknown angle
4.2.3.4: [RIT 223 - 241] Recognizes that the sum of the interior angles of a triangle is 180 degrees
Polygon Angle Sum
Triangle Angle Sum
4.2.3.5: [RIT 228 - 250] Applies properties of isosceles triangles to determine the measure of an unknown angle
Isosceles and Equilateral Triangles
4.2.3.7: [RIT 237 - 268] Solves problems by applying multiple properties of angles, including interior and exterior angles of triangles; complementary, supplementary, and vertical angles; and angles created by perpendicular lines or parallel lines cut by a transversal
Investigating Angle Theorems
Triangle Angle Sum
4.2.3.9: [RIT 240 - 240] Determines the number of diagonals that can be drawn from one vertex in a polygon
4.2.3.10: [RIT 241 - 276] Applies the Triangle Inequality Theorem
4.2.3.11: [RIT 242 - 242] Applies the Triangle Exterior Angle Theorem to determine the measure of an unknown angle
4.2.3.12: [RIT 256 - 258] Applies the formula for the measure of each exterior angle of a regular polygon
4.2.3.14: [RIT 269 - 269] Applies the formula for the measure of each interior angle of a regular polygon
4.3.1: Identification and Classification of 3-D Shapes
4.3.1.3: [RIT 241 - 241] Identifies and names polyhedrons
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
4.3.2: Spatial Concepts and Symmetry
4.3.2.1: [RIT 175 - 208] Identifies multiple views of structures composed of cubes
4.3.2.2: [RIT 184 - 229] Identifies and creates nets for prisms
Surface and Lateral Areas of Prisms and Cylinders
4.3.2.3: [RIT 186 - 202] Identifies and creates nets for pyramids
Surface and Lateral Areas of Pyramids and Cones
4.3.2.4: [RIT 190 - 241] Identifies and creates nets for cones
Surface and Lateral Areas of Pyramids and Cones
4.3.2.5: [RIT 209 - 249] Identifies single views of structures composed of cubes
4.3.2.6: [RIT 212 - 236] Identifies and creates nets for cylinders
Surface and Lateral Areas of Prisms and Cylinders
4.3.2.7: [RIT 216 - 216] Identifies single views of 3-D shapes
4.3.2.8: [RIT 244 - 270] Identifies the cross-sections of 3-D shapes
4.4.1: Congruence
4.4.1.1: [RIT 186 - 230] Identifies congruent shapes, given formal language
4.4.1.2: [RIT 194 - 206] Identifies corresponding sides and angles in congruent figures
4.4.1.7: [RIT 251 - 255] Identifies congruent triangles using AAS, ASA, SAS, or SSS
Congruence in Right Triangles
Proving Triangles Congruent
4.4.1.8: [RIT 252 - 284] Identifies the congruence postulate that proves two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
4.4.1.10: [RIT 262 - 262] Determines the conditions necessary to prove two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
4.4.2: Identification and Classification of 2-D Shapes
4.4.2.1: [RIT 230 - 230] Identifies congruent shapes, given formal language
4.4.3: Similarity
4.4.3.1: [RIT 180 - 181] Identifies similar figures
Similar Figures
Similarity in Right Triangles
4.4.3.2: [RIT 204 - 253] Applies scale factors to solve problems involving scale drawings, maps, and models
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
4.4.3.3: [RIT 212 - 212] Determines scale factors in problems involving scale drawings, maps, and models
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
4.4.3.4: [RIT 212 - 260] Determines lengths of corresponding sides in similar figures
Similar Figures
Similarity in Right Triangles
4.4.3.5: [RIT 213 - 226] Identifies corresponding sides and angles in similar figures
Similar Figures
Similarity in Right Triangles
4.4.3.6: [RIT 215 - 249] Applies properties of similar triangles to solve real-world problems involving indirect measurements
4.4.3.7: [RIT 220 - 220] Knows the definition of similarity
Similar Figures
Similarity in Right Triangles
4.4.3.8: [RIT 223 - 239] Determines scale factors in problems involving scale drawings of geometric figures
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
4.4.3.10: [RIT 224 - 224] Determines the ratio between perimeters of similar figures
Perimeters and Areas of Similar Figures
4.4.3.11: [RIT 225 - 252] Applies scale factors to solve problems involving scale drawings of geometric figures
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
4.4.3.12: [RIT 228 - 276] Determines the conditions necessary to prove two triangles are similar
4.4.3.13: [RIT 232 - 257] Applies properties of similar figures to determine a perimeter
Perimeters and Areas of Similar Figures
4.4.3.15: [RIT 235 - 235] Applies properties of similar figures to determine an area
Perimeters and Areas of Similar Figures
4.4.3.16: [RIT 239 - 239] Identifies the proportion of corresponding sides of similar figures
4.4.3.17: [RIT 244 - 263] Applies similarity postulates to solve for missing lengths and angles
4.4.3.18: [RIT 247 - 247] Applies similarity postulates to identify corresponding sides and angles
4.4.3.21: [RIT 256 - 256] Identifies similar triangles using AA
Proving Triangles Congruent
Similarity in Right Triangles
4.4.3.22: [RIT 260 - 279] Applies the geometric mean to solve for missing lengths and angles in triangles
4.4.3.23: [RIT 268 - 271] Identifies the similarity postulate that proves two triangles are similar
4.4.3.26: [RIT 285 - 286] Determines the ratio between areas of similar figures
Perimeters and Areas of Similar Figures
4.4.3.27: [RIT 288 - 288] Solves problems involving multiple theorems of similar triangles, including the Triangle Proportionality Theorem, segment proportionality property for parallel lines, and similarity postulates
4.5.1: Trigonometric Functions/Radian Measure
4.5.1.1: [RIT 241 - 269] Converts between radians and degrees
Cosine Function
Sine Function
Tangent Function
4.5.1.2: [RIT 252 - 276] Understands the relationship between radian measure and the length of an arc on the unit circle
Cosine Function
Radians
Sine Function
Tangent Function
4.5.1.3: [RIT 261 - 276] Uses special right triangles and the unit circle to determine a value of tangent
4.5.1.4: [RIT 266 - 276] Uses special right triangles and the unit circle to determine a value of cosine
4.5.1.5: [RIT 284 - 284] Determines the sign of trigonometric values within a given range of angle measures
Cosine Function
Sine Function
Tangent Function
4.5.2: Pythagorean Theorem
4.5.2.1: [RIT 241 - 275] Uses the Pythagorean Theorem to solve real-world or mathematical problems
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
4.5.2.2: [RIT 242 - 266] Uses the Pythagorean Theorem to calculate the length of a missing side of a right triangle
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
4.5.2.3: [RIT 253 - 268] Applies the converse of the Pythagorean Theorem to identify right triangles
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
4.5.3: Trigonometry
4.5.3.2: [RIT 241 - 263] Represents the sine of an angle as a ratio of sides in a right triangle
Sine Function
Sine, Cosine, and Tangent Ratios
4.5.3.3: [RIT 246 - 266] Represents the tangent of an angle as a ratio of sides in a right triangle
Sine, Cosine, and Tangent Ratios
Tangent Function
4.5.3.4: [RIT 247 - 263] Represents the cosine of an angle as a ratio of sides in a right triangle
Cosine Function
Sine, Cosine, and Tangent Ratios
4.5.3.5: [RIT 250 - 270] Uses sine, cosine, or tangent to determine the length of a side in a right triangle
Sine, Cosine, and Tangent Ratios
4.5.3.7: [RIT 263 - 273] Uses sine, cosine, and tangent to determine lengths to solve real-world and mathematical problems
Sine, Cosine, and Tangent Ratios
4.5.4: Relationships involving Lines, Angles, and Polygons
4.5.4.1: [RIT 255 - 279] Uses the 45-45-90 and 30-60-90 right triangle relationships to solve real-world and mathematical problems
Cosine Function
Sine Function
Tangent Function
4.5.4.2: [RIT 258 - 279] Uses the 45-45-90 and 30-60-90 right triangle relationships to calculate the length of a missing side of a right triangle
Cosine Function
Sine Function
Tangent Function
4.6.2: Spatial Concepts and Symmetry
4.6.2.1: [RIT 165 - 228] Determines the number of lines of symmetry in 2-D figures
Holiday Snowflake Designer
Quilting Bee (Symmetry)
4.6.2.2: [RIT 206 - 217] Identifies 2-D figures which have rotational symmetry
4.6.2.4: [RIT 275 - 284] Identifies the rotational or reflectional symmetry of a shape
4.6.3: Transformations
4.6.3.1: [RIT 177 - 226] Performs a slide, flip, or turn without using a grid
Reflections
Rotations, Reflections, and Translations
4.6.3.2: [RIT 197 - 225] Performs a translation, reflection, or rotation, without the coordinate plane
Reflections
Rotations, Reflections, and Translations
4.6.3.3: [RIT 198 - 227] Describes a single transformation that will map one figure onto another, without the coordinate plane
Reflections
Rotations, Reflections, and Translations
Translations
4.6.3.4: [RIT 199 - 220] Identifies a slide, flip, or turn that will carry a given figure onto another, without a grid
4.6.3.5: [RIT 214 - 221] Identifies the degree of rotation that will map one figure onto another, without the coordinate plane
4.6.3.6: [RIT 214 - 214] Identifies the degree of rotation that shows that two given figures are congruent, without a coordinate plane
4.6.3.8: [RIT 219 - 232] Understands that rigid transformations preserve congruency
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Translations
4.6.3.9: [RIT 221 - 254] Determines the image of a polygon on a coordinate plane after a reflection or a series of reflections
Rotations, Reflections, and Translations
4.6.3.10: [RIT 223 - 254] Determines the coordinates of the vertices of a polygon after a dilation or a series of dilations, with center at the origin
4.6.3.11: [RIT 225 - 228] Determines the coordinates of the vertices of a polygon after a translation or a series of translations
4.6.3.12: [RIT 226 - 226] Determines the image of a polygon on a coordinate plane after a rotation or a series of rotations
Rotations, Reflections, and Translations
4.6.3.14: [RIT 231 - 242] Describes the effects of dilation on lengths and angle measures
4.6.3.15: [RIT 231 - 259] Determines the coordinates of the vertices of a polygon after a reflection or a series of reflections
Rotations, Reflections, and Translations
4.6.3.16: [RIT 232 - 255] Describes a single transformation that will map one figure onto itself, without the coordinate plane
4.6.3.17: [RIT 233 - 239] Performs a series of translations, reflections, and rotations, without the coordinate plane
Rotations, Reflections, and Translations
4.6.3.18: [RIT 235 - 271] Determines the coordinates of the vertices of a polygon after a rotation or a series of rotations
Rotations, Reflections, and Translations
4.6.3.19: [RIT 237 - 239] Describes a series of transformations that show two shapes are congruent on the coordinate plane
Rotations, Reflections, and Translations
4.6.3.20: [RIT 240 - 240] Determines the image of a translation represented in coordinate notation
4.6.3.23: [RIT 243 - 243] Describes a single transformation that shows two shapes are congruent on the coordinate plane
Rotations, Reflections, and Translations
Translations
4.6.3.24: [RIT 249 - 263] Describes a translation using coordinate notation
4.6.3.25: [RIT 250 - 250] Determines the image of a polygon on a coordinate plane after a series of translations, reflections, or rotations
Rotations, Reflections, and Translations
4.6.3.26: [RIT 251 - 251] Determines the image of a dilation represented in coordinate notation
4.6.3.27: [RIT 252 - 252] Identifies the center and scale factor used in a dilation represented in the coordinate plane
4.6.3.28: [RIT 253 - 253] Applies the scale factor in a dilation to solve for unknown lengths
4.6.3.30: [RIT 264 - 264] Determines the image of a reflection represented in coordinate notation
Rotations, Reflections, and Translations
4.7.1: Coordinate Geometry
4.7.1.1: [RIT 181 - 229] Determines the coordinates of points in all four quadrants of a coordinate graph
Points in the Coordinate Plane
4.7.1.2: [RIT 198 - 221] Determines the coordinates of points in the first quadrant of a coordinate plane
City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
4.7.1.4: [RIT 205 - 232] Determines the distance between two points with the same first or second coordinate
Distance Formula
Points in the Coordinate Plane
4.7.1.5: [RIT 214 - 235] Determines the coordinates of missing vertices of geometric figures in the first quadrant given the coordinates of the other vertices
Points in the Coordinate Plane
4.7.1.6: [RIT 215 - 236] Plots points in all four quadrants of a coordinate plane
Points in the Coordinate Plane
4.7.1.9: [RIT 242 - 268] Determines the distance between two points on the coordinate plane
4.7.1.12: [RIT 251 - 280] Identifies collinear points
5.1.2: Bivariate Data
5.1.2.1: [RIT 199 - 236] Describes and interprets data in a scatter plot
Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.2: [RIT 206 - 249] Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.3: [RIT 213 - 264] Analyzes linear trends in scatter plots to make predictions
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.4: [RIT 219 - 243] Describes and interprets outliers and clusters in a scatter plot
Least-Squares Best Fit Lines
Trends in Scatter Plots
5.1.2.5: [RIT 220 - 220] Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.6: [RIT 221 - 221] Distinguishes between linear and nonlinear relationships in scatter plots
5.1.2.8: [RIT 230 - 267] Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.9: [RIT 231 - 271] Determines a pair of quantitative variables that has either a positive, negative, or zero correlation
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.2.10: [RIT 233 - 233] Approximates the line of best fit on a scatter plot
Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots
5.1.2.12: [RIT 246 - 260] Estimates the slope of a line of best fit
Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots
5.1.2.13: [RIT 261 - 276] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot
5.1.2.14: [RIT 261 - 261] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context
5.1.2.15: [RIT 262 - 262] Approximates the equation of the line of best fit
Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots
5.1.2.16: [RIT 271 - 271] Compares two sets of bivariate data to draw conclusions
5.1.3: Data Analysis
5.1.3.1: [RIT 163 - 210] Reads and interprets data from a circle graph
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
5.1.3.2: [RIT 169 - 227] Reads and interprets data from a histogram
5.1.3.4: [RIT 180 - 234] Reads and interprets data in a scaled line graph
Elevator Operator (Line Graphs)
Graphing Skills
5.1.3.5: [RIT 193 - 235] Identifies the median, quartiles, extreme values, and outliers from a box plot
5.1.3.7: [RIT 196 - 211] Reads and interprets data from line or dot plots with whole-number scales
Mascot Election (Pictographs and Bar Graphs)
5.1.3.8: [RIT 198 - 198] Reads and interprets data from a scatter plot
Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
5.1.3.14: [RIT 204 - 204] Interprets data in a table or chart
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
5.1.3.17: [RIT 222 - 231] Reads and interprets data from a stem-and-leaf plot
5.1.3.19: [RIT 228 - 228] Determines the range from a stem-and-leaf plot
5.1.3.20: [RIT 231 - 231] Determines the median from a stem-and-leaf plot
5.1.3.21: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot
5.1.3.25: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms
5.1.4: Data Representation
5.1.4.1: [RIT 189 - 234] Constructs scatter plots of bivariate data
Correlation
Graphing Skills
Least-Squares Best Fit Lines
Trends in Scatter Plots
5.1.4.2: [RIT 192 - 211] Represents data in line or dot plots with whole-number scales
Histograms
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.4.3: [RIT 196 - 224] Represents data in circle graphs
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
5.1.4.4: [RIT 197 - 197] Represents data in line graphs
Elevator Operator (Line Graphs)
Graphing Skills
5.1.4.7: [RIT 225 - 227] Represents data in frequency tables
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.4.8: [RIT 226 - 226] Represents data in stem-and-leaf plots
5.1.4.9: [RIT 228 - 254] Represents data in histograms
Histograms
Real-Time Histogram
Sight vs. Sound Reactions
5.1.5: Measures of Center and Spread (Variability)
5.1.5.1: [RIT 193 - 235] Identifies the median, quartiles, extreme values, and outliers from a box plot
5.1.5.2: [RIT 202 - 214] Interprets the mode in the context of a data set
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.3: [RIT 202 - 221] Interprets the median in the context of a data set
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.4: [RIT 204 - 226] Determines the median of a data set that is ordered
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
5.1.5.5: [RIT 208 - 237] Determines the mean of a data set
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
5.1.5.6: [RIT 209 - 222] Determines the mode of a data set
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.7: [RIT 215 - 215] Defines the mode
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.8: [RIT 216 - 216] Describes how the mean is calculated
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
5.1.5.9: [RIT 216 - 225] Describes how the median is calculated
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.10: [RIT 223 - 248] Determines the median of a data set that is not ordered
Mean, Median, and Mode
Reaction Time 2 (Graphs and Statistics)
5.1.5.11: [RIT 223 - 248] Determines the range of a data set
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
5.1.5.13: [RIT 228 - 228] Determines the range from a stem-and-leaf plot
5.1.5.14: [RIT 231 - 231] Determines the median from a stem-and-leaf plot
5.1.5.16: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot
5.1.5.17: [RIT 238 - 243] Explains why the mean and median differ in a single data set
5.1.5.19: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms
5.1.6: Populations/Random Processes
5.1.6.1: [RIT 187 - 217] Identifies a data collection method that best answers a question
Polling: City
Polling: Neighborhood
5.1.6.2: [RIT 202 - 202] Identifies random samples
Polling: City
Polling: Neighborhood
5.1.6.3: [RIT 214 - 250] Writes and solves proportions to make inferences about populations
Estimating Population Size
Polling: Neighborhood
5.1.6.4: [RIT 230 - 247] Identifies a sampling method that produces the most representative sample
Polling: City
Polling: Neighborhood
5.1.6.5: [RIT 231 - 231] Identifies an appropriate research design, including surveys, experiments and observational studies, to answer a question
Polling: City
Polling: Neighborhood
5.1.6.6: [RIT 243 - 243] Writes proportions to make inferences about populations
Estimating Population Size
Polling: Neighborhood
5.2.1: Probability
5.2.1.1: [RIT 168 - 218] Identifies a simple event given the likelihood of the event as more likely, less likely, neither likely nor unlikely, impossible, or certain
Spin the Big Wheel! (Probability)
5.2.1.2: [RIT 185 - 213] Describes the likelihood of simple events occurring
Probability Simulations
Spin the Big Wheel! (Probability)
5.2.1.3: [RIT 193 - 241] Makes predictions based on theoretical probabilities of simple events
Probability Simulations
Spin the Big Wheel! (Probability)
5.2.1.4: [RIT 196 - 249] Determines theoretical probabilities of simple events
Geometric Probability
Lucky Duck (Expected Value)
Spin the Big Wheel! (Probability)
5.2.1.5: [RIT 208 - 236] Identifies the likelihood of a simple event as more likely, less likely, neither likely nor unlikely, impossible, or certain, given the probability of the event
Geometric Probability
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
5.2.1.6: [RIT 213 - 242] Determines experimental probabilities of simple events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
5.2.1.8: [RIT 215 - 230] Determines the probability of the complement of an event
Probability Simulations
Theoretical and Experimental Probability
5.2.1.9: [RIT 219 - 232] Describes the likelihood of compound events occurring
Independent and Dependent Events
Spin the Big Wheel! (Probability)
5.2.1.10: [RIT 222 - 239] Understands independence as it relates to previous outcomes
Independent and Dependent Events
5.2.1.11: [RIT 224 - 224] Determines the odds of simple events
5.2.1.12: [RIT 224 - 224] Writes proportions to make predictions based on experimental probabilities
Estimating Population Size
Polling: Neighborhood
5.2.1.13: [RIT 229 - 245] Makes predictions based on experimental probabilities of simple events
5.2.1.14: [RIT 232 - 232] Distinguishes between independent and dependent events in situations
Independent and Dependent Events
5.2.1.17: [RIT 238 - 286] Determines probabilities of compound independent events
Independent and Dependent Events
5.2.1.18: [RIT 239 - 242] Determines conditional probabilities of events without replacement
Independent and Dependent Events
5.2.1.19: [RIT 240 - 240] Modifies sample space to change the probability of an event
Independent and Dependent Events
Lucky Duck (Expected Value)
5.2.1.20: [RIT 245 - 266] Determines probabilities using geometric models
5.2.1.21: [RIT 246 - 246] Makes predictions based on probability distributions
5.2.1.22: [RIT 257 - 276] Determines probabilities using the general Multiplication Rule of probability
Independent and Dependent Events
5.2.1.23: [RIT 257 - 257] Makes predictions based on theoretical probabilities of compound events
Independent and Dependent Events
5.2.1.24: [RIT 257 - 278] Determines conditional probabilities of compound events using relative frequencies
Independent and Dependent Events
5.2.1.25: [RIT 258 - 266] Determines probabilities of compound dependent events
Independent and Dependent Events
5.2.2: Sample Spaces
5.2.2.1: [RIT 187 - 219] Determines the sample space for a simple event using lists, tree diagrams, or charts
Probability Simulations
Theoretical and Experimental Probability
5.2.2.2: [RIT 201 - 227] Determines the sample space for two compound events using organized lists, tree diagrams, or charts
Independent and Dependent Events
Permutations and Combinations
5.2.2.3: [RIT 211 - 232] Determines the sample space for more than two compound events using organized lists, tree diagrams, or charts
Independent and Dependent Events
Permutations and Combinations
5.2.2.5: [RIT 220 - 272] Uses permutations and combinations to determine the number of possible outcomes
6.1.1: Patterns/Sequences/Series
6.1.1.3: [RIT 218 - 258] Determines the value of a term in an arithmetic sequence given a contextual situation
6.1.1.6: [RIT 229 - 266] Determines the value of a term in a geometric sequence given a contextual situation
6.1.1.7: [RIT 229 - 285] Determines the value of a term in a geometric sequence defined by a list
Arithmetic and Geometric Sequences
Geometric Sequences
6.1.1.8: [RIT 232 - 238] Recognizes arithmetic sequences
Arithmetic Sequences
Arithmetic and Geometric Sequences
6.1.1.9: [RIT 235 - 256] Determines the rule, and extends or finds a missing term in a Fibonacci sequence
6.1.1.11: [RIT 243 - 272] Writes an expression or formula for the nth term of an arithmetic sequence given a number sequence
Arithmetic and Geometric Sequences
6.1.1.12: [RIT 252 - 252] Determines the rule, and extends or finds a missing term for number patterns which increase or decrease by a nonconstant amount, within a real-world context
6.1.1.14: [RIT 256 - 256] Determines the common ratio in a geometric sequence
6.1.1.16: [RIT 260 - 271] Writes an expression or formula for the nth term of a geometric sequence given a number sequence
Arithmetic and Geometric Sequences
Geometric Sequences
6.2.1: Properties and Operations of Functions
6.2.1.1: [RIT 206 - 206] Expresses a relation defined by a mapping diagram as a set of ordered pairs
6.2.1.2: [RIT 235 - 239] Determines the input of a function given an output
Function Machines 1 (Functions and Tables)
6.2.1.3: [RIT 238 - 265] Performs operations with functions
Addition and Subtraction of Functions
6.2.1.4: [RIT 238 - 263] Identifies the type of function by its equation
Absolute Value with Linear Functions
General Form of a Rational Function
Linear Functions
Logarithmic Functions
Radical Functions
6.2.1.6: [RIT 248 - 258] Distinguishes between linear and nonlinear functions given an equation, a graph, or a table of values
Graphs of Polynomial Functions
6.2.1.9: [RIT 261 - 270] Determines if a relation defined by a set of ordered pairs, a table of values, or a graph is a function
Introduction to Functions
Linear Functions
6.2.1.11: [RIT 264 - 280] Determines the domain of a rational function
6.2.1.17: [RIT 283 - 289] Graphs the inverse of a function
6.2.1.19: [RIT 285 - 285] Describes properties of even or odd functions
Graphs of Polynomial Functions
6.2.2: Number Sentences/Equations/Equivalence
6.2.2.1: [RIT 238 - 266] Identifies an ordered pair that is a solution to a two-variable equation
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line
6.2.3: Patterns/Sequences/Series
6.2.3.1: [RIT 210 - 228] Identifies a function table that matches a given rule
6.2.3.2: [RIT 222 - 231] Determines the rule for a given function table representing a nonproportional relationship
Function Machines 1 (Functions and Tables)
6.2.4: Polynomial Functions
6.2.4.1: [RIT 227 - 254] Identifies the zeros of a polynomial function from a graph
Graphs of Polynomial Functions
Polynomials and Linear Factors
6.2.4.2: [RIT 262 - 274] Factors polynomial functions to determine zeros
Polynomials and Linear Factors
6.2.4.4: [RIT 267 - 267] Evaluates a polynomial function using synthetic division
Dividing Polynomials Using Synthetic Division
6.2.4.5: [RIT 270 - 270] Identifies key features of a polynomial function given a graph
Graphs of Polynomial Functions
Polynomials and Linear Factors
6.2.4.6: [RIT 270 - 270] Describes the effects of transformations on the graphs of polynomial functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Quadratics in Polynomial Form
Quadratics in Vertex Form
Translating and Scaling Functions
6.2.4.7: [RIT 284 - 286] Identifies the factors of a polynomial function from a graph
Polynomials and Linear Factors
6.2.5: Rate of Change/Slope
6.2.5.1: [RIT 202 - 249] Compares the rate of change between two proportional relationships represented in different ways
6.2.5.2: [RIT 212 - 255] Interprets the meaning of the slope of a graph in a real-world linear relationship
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
6.2.5.3: [RIT 213 - 236] Calculates the rate of change from a graph representing a real-world linear relationship
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
6.2.5.4: [RIT 215 - 245] Calculates the rate of change from a table or description of a real-world linear relationship
Direct and Inverse Variation
Distance-Time Graphs
Slope-Intercept Form of a Line
6.2.5.5: [RIT 216 - 225] Identifies the unit rate from the graph of a proportional relationship
6.2.5.6: [RIT 227 - 257] Calculates the rate of change of a piecewise function over a given interval
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
6.2.5.8: [RIT 237 - 250] Identifies the y-intercept and the slope of a line given an equation of the line in the form y = mx+b
Point-Slope Form of a Line
Slope-Intercept Form of a Line
6.2.5.9: [RIT 238 - 258] Understands that the slope is the same between any two points on a line
Slope-Intercept Form of a Line
6.2.5.10: [RIT 239 - 262] Determines the y-intercept and the slope of a line given an equation of the line in a form other than y = mx+b
Point-Slope Form of a Line
Standard Form of a Line
6.2.5.11: [RIT 243 - 243] Compares the rate of change and intercepts between two nonproportional linear functions represented in the same way
Point-Slope Form of a Line
Standard Form of a Line
6.2.5.12: [RIT 244 - 246] Interprets the meaning of the slope for the equation y = mx + b within the context of a real-world linear relationship
Slope-Intercept Form of a Line
6.2.5.13: [RIT 247 - 250] Calculates the slope of a line on a graph
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Slope
6.2.5.14: [RIT 248 - 259] Calculates the slope of a line given ordered pairs
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
6.2.6: Conic Sections
6.2.6.1: [RIT 237 - 279] Writes the equation of a circle given the center and radius
6.2.6.2: [RIT 247 - 271] Identifies the conic section from the equation
6.2.6.3: [RIT 264 - 279] Writes the equation of a circle given a graph
6.2.6.4: [RIT 267 - 267] Graphs a circle given the equation
6.2.6.5: [RIT 268 - 268] Writes the equation of an ellipse given the center and vertices
6.2.6.6: [RIT 268 - 268] Graphs a parabola with an axis of symmetry parallel to the x-axis
6.2.6.7: [RIT 272 - 272] Determines the center and radius given the standard form of the equation
6.2.6.8: [RIT 275 - 275] Writes the equation of a circle given the center and a point on the circle
6.2.7: Quadratic Functions
6.2.7.1: [RIT 214 - 214] Interprets zeros, extreme values, and symmetry of a graph within the context of a real-world quadratic relationship
6.2.7.3: [RIT 230 - 249] Describes the effects that changes in the constant terms have on the graphs of quadratic functions
Quadratics in Polynomial Form
Zap It! Game
6.2.7.4: [RIT 232 - 251] Evaluates a quadratic function for a given value in its domain
Quadratics in Factored Form
Quadratics in Polynomial Form
6.2.7.5: [RIT 237 - 259] Evaluates a quadratic function for a given value in its domain to solve a real-world problem
6.2.7.6: [RIT 239 - 255] Identifies the vertex, intercepts, or axis of symmetry of a quadratic function given a graph
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.2.7.7: [RIT 242 - 261] Determines the zeros of a quadratic function from a table of values
Quadratics in Polynomial Form
Quadratics in Vertex Form
6.2.7.9: [RIT 247 - 280] Graphs quadratic functions
Quadratics in Polynomial Form
Quadratics in Vertex Form
6.2.7.10: [RIT 249 - 276] Graphs transformations of quadratic functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Quadratics in Polynomial Form
Quadratics in Vertex Form
6.2.7.11: [RIT 250 - 280] Determines the maximum, minimum, y-intercept, or zeros of a quadratic function to solve real-world problems
6.2.7.12: [RIT 253 - 253] Recognizes the graph of a quadratic relationship
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.2.7.13: [RIT 254 - 268] Writes a quadratic function given the zeros
Quadratics in Factored Form
Quadratics in Polynomial Form
6.2.7.14: [RIT 259 - 259] Writes a quadratic function to represent real-world or mathematical contexts
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
6.2.7.15: [RIT 261 - 275] Determines the vertex, intercepts, or axis of symmetry of a quadratic function given an equation
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.2.7.17: [RIT 261 - 275] Determines an x-intercept of a quadratic function given the other x-intercept and the vertex or the axis of symmetry
Quadratics in Polynomial Form
Roots of a Quadratic
6.2.7.18: [RIT 262 - 289] Describes the effects that changes in the coefficients have on the graphs of quadratic functions
Quadratics in Polynomial Form
Roots of a Quadratic
Zap It! Game
6.2.7.19: [RIT 265 - 265] Understands the relationship between the zeros of a function and the x-intercepts of the graph of the function
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.2.7.20: [RIT 269 - 269] Determines the zeros of a quadratic function by factoring
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
6.2.7.21: [RIT 270 - 272] Writes a quadratic function given a graph
6.2.7.22: [RIT 272 - 277] Rewrites a quadratic equation into vertex form
6.2.8: Linear Functions
6.2.8.1: [RIT 192 - 226] Graphs a linear function of the form y = mx given a simple scenario
6.2.8.2: [RIT 195 - 256] Interprets the meaning of the y-intercept of a graph within the context of a real-world linear relationship
Slope-Intercept Form of a Line
6.2.8.3: [RIT 198 - 206] Expresses the linear relationship between variables in words
Points, Lines, and Equations
Slope-Intercept Form of a Line
6.2.8.4: [RIT 200 - 249] Translates between the graph of a piecewise linear function and a verbal description of the real-world relationship
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
6.2.8.7: [RIT 219 - 259] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given the slope and y-intercept
Slope-Intercept Form of a Line
6.2.8.8: [RIT 219 - 232] Identifies the table of values given a graph of a linear relationship in the form y = mx + b
Points, Lines, and Equations
Slope-Intercept Form of a Line
6.2.8.10: [RIT 224 - 252] Understands independent and dependent variables within a linear context
6.2.8.11: [RIT 226 - 240] Writes an equation in the form y = mx to represent the relationship between real-world quantities given a simple scenario
6.2.8.13: [RIT 228 - 259] Writes the equation of a line in the form y = mx + b given a table of values or two ordered pairs
Slope-Intercept Form of a Line
6.2.8.14: [RIT 229 - 237] Translates between the graph of a linear function and a verbal description of the real-world relationship
Slope-Intercept Form of a Line
6.2.8.16: [RIT 231 - 233] Describes a situation that can be represented by a given linear equation
Slope-Intercept Form of a Line
6.2.8.19: [RIT 235 - 235] Identifies an intercept of a graph of a linear function
6.2.8.20: [RIT 235 - 243] Interprets the meaning of the constant term in the equation y = mx + b within the context of a real-world linear relationship
Slope-Intercept Form of a Line
6.2.8.21: [RIT 237 - 274] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a complex scenario
Slope-Intercept Form of a Line
6.2.8.22: [RIT 238 - 253] Solves direct variation problems
6.2.8.25: [RIT 240 - 240] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a simple scenario
Direct and Inverse Variation
Slope-Intercept Form of a Line
6.2.8.27: [RIT 241 - 241] Writes an equation in standard form to represent the relationship between real-world quantities given a scenario
6.2.8.29: [RIT 243 - 243] Recognizes direct variation situations
6.2.8.30: [RIT 244 - 251] Graphs the equation of a line in the form y = mx + b
Slope-Intercept Form of a Line
6.2.8.31: [RIT 245 - 261] Describes the effects that changes in the constant terms have on the graphs of linear functions
Slope-Intercept Form of a Line
6.2.8.34: [RIT 250 - 250] Determines the y-intercept of a line given two points on the line
6.2.8.35: [RIT 250 - 262] Illustrates the result of changes in the slope and y-intercept within a real-world linear relationship
Slope-Intercept Form of a Line
6.2.8.36: [RIT 253 - 253] Rewrites a linear equation in the form y = mx + b
Point-Slope Form of a Line
Standard Form of a Line
6.2.8.37: [RIT 253 - 253] Graphs the equation of a line in standard form
6.2.8.38: [RIT 255 - 269] Rewrites a linear equation into the form Ax + By = C
6.2.8.39: [RIT 255 - 255] Represents a proportional relationship in more than one form, including tables, graphs, equations, and verbal descriptions
6.2.8.41: [RIT 257 - 257] Writes the equation of a line in the form y = mx + b given the slope and a point on the line
Slope-Intercept Form of a Line
6.2.8.42: [RIT 259 - 259] Writes the equation of a line in standard form given a table of values or two ordered pairs
6.2.8.43: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and y-intercept
6.2.8.45: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and a point on the line
6.2.9: Exponential and Logarithmic Functions
6.2.9.1: [RIT 234 - 255] Identifies the appropriate linear or exponential model that represents a real-world situation
Compound Interest
Exponential Functions
Exponential Growth and Decay
Slope-Intercept Form of a Line
Standard Form of a Line
6.2.9.2: [RIT 235 - 264] Evaluates an exponential function for a given value in its domain to solve a real-world problem
Compound Interest
Exponential Functions
Exponential Growth and Decay
6.2.9.3: [RIT 237 - 271] Understands that exponential models grow and decay by equal factors over equal intervals
6.2.9.4: [RIT 238 - 238] Describes the effects that changes in parameters have on the tables of values of exponential functions
Exponential Functions
Introduction to Exponential Functions
6.2.9.5: [RIT 241 - 277] Writes exponential functions to represent real-world or mathematical problems
Compound Interest
Exponential Growth and Decay
Introduction to Exponential Functions
6.2.9.6: [RIT 248 - 272] Describes the effects of changes in parameters on exponential functions that represent real-world relationships
Compound Interest
Exponential Growth and Decay
6.2.9.8: [RIT 252 - 264] Graphs an exponential function given a table of values
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
6.2.9.9: [RIT 254 - 261] Describes the effects that changes in parameters have on the graphs of exponential functions
Exponential Functions
Introduction to Exponential Functions
6.2.9.10: [RIT 256 - 278] Understands the relationship between the graphs of exponential and logarithmic functions
6.2.9.11: [RIT 259 - 270] Graphs exponential functions
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
6.2.9.12: [RIT 267 - 267] Writes an exponential function given a graph
Exponential Functions
Introduction to Exponential Functions
6.2.9.13: [RIT 267 - 274] Writes the equation representing transformations of exponential functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Exponential Functions
Introduction to Exponential Functions
6.2.9.14: [RIT 270 - 270] Identifies the table of values given an exponential equation
Exponential Functions
Exponential Growth and Decay
6.2.9.15: [RIT 272 - 281] Applies the definition of logarithms to solve problems
Logarithmic Functions: Translating and Scaling
6.2.9.16: [RIT 275 - 275] Understands the exponential impact of the growth factor on values of an exponential function
Compound Interest
Exponential Growth and Decay
6.2.10: Piecewise/Absolute Value Functions
6.2.10.2: [RIT 227 - 227] Calculates the rate of change of a piecewise function over a given interval
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
6.2.10.3: [RIT 249 - 276] Graphs absolute value functions
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
6.2.10.4: [RIT 250 - 250] Describes the effects of transformations on the graphs of absolute value functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Absolute Value with Linear Functions
Translating and Scaling Functions
6.2.10.5: [RIT 253 - 253] Determines the y-intercept of the transformation of an absolute value function, given the equation
Absolute Value with Linear Functions
Translating and Scaling Functions
6.2.10.6: [RIT 264 - 266] Writes the equation representing transformations of absolute value functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Translating and Scaling Functions
6.2.10.7: [RIT 269 - 269] Graphs transformations of absolute value functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
6.2.10.8: [RIT 270 - 280] Graphs piecewise functions
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
6.2.10.9: [RIT 276 - 276] Writes a piecewise function given a graph
Translating and Scaling Functions
6.2.11: Rational Functions
6.2.11.1: [RIT 251 - 291] Determines end behavior of rational functions
General Form of a Rational Function
Rational Functions
6.2.11.2: [RIT 253 - 253] Writes rational functions to represent real-world or mathematical problems
General Form of a Rational Function
Rational Functions
6.2.11.3: [RIT 260 - 265] Identifies the table of values that represents an inverse-variation relationship
6.2.11.4: [RIT 261 - 282] Determines x-intercepts for rational functions
General Form of a Rational Function
6.2.11.5: [RIT 261 - 281] Graphs rational functions
General Form of a Rational Function
Rational Functions
6.2.11.6: [RIT 268 - 268] Determines points of discontinuity for rational functions
General Form of a Rational Function
6.2.11.7: [RIT 269 - 269] Solves inverse variation problems
6.3.1: Algebraic Expressions
6.3.1.1: [RIT 212 - 261] Writes linear expressions in one variable to represent real-world or mathematical contexts
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
6.3.1.2: [RIT 213 - 235] Evaluates linear expressions at given values with variables involving positive rational numbers
Equivalent Algebraic Expressions I
6.3.1.3: [RIT 216 - 247] Translates between verbal and algebraic expressions
6.3.1.5: [RIT 217 - 253] Generates equivalent linear expressions by using the associative, commutative, and distributive properties, and by combining like terms
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
6.3.1.7: [RIT 221 - 248] Generates equivalent linear expressions by using the associative, commutative, or distributive property
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
6.3.1.9: [RIT 227 - 242] Generates equivalent linear expressions by combining like terms
Simplifying Algebraic Expressions II
6.3.1.10: [RIT 236 - 263] Uses properties of exponents to simplify algebraic expressions involving whole-number exponents
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
6.3.1.11: [RIT 237 - 267] Evaluates nonlinear expressions at given values with variables involving negative rational numbers
Exponential Growth and Decay
General Form of a Rational Function
Quadratics in Polynomial Form
6.3.1.12: [RIT 239 - 239] Generates equivalent nonlinear expressions by combining like terms
Simplifying Algebraic Expressions II
6.3.1.13: [RIT 242 - 242] Interprets the variable in a linear expression within the context of a real-world relationship
Slope-Intercept Form of a Line
6.3.1.15: [RIT 244 - 244] Determines the number of terms in a polynomial
Polynomials and Linear Factors
6.3.1.16: [RIT 244 - 273] Simplifies rational expressions
General Form of a Rational Function
6.3.1.17: [RIT 245 - 248] Uses algebra tiles to model polynomials
Addition of Polynomials
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
6.3.1.19: [RIT 254 - 269] Generates equivalent nonlinear expressions by using the associative, commutative, and distributive properties, and by combining like terms
Multiplying Exponential Expressions
6.3.1.20: [RIT 256 - 256] Interprets the constant in a quadratic expression within the context of a real-world relationship
6.3.1.21: [RIT 263 - 263] Writes linear expressions in two variables to represent real-world or mathematical contexts
6.3.1.22: [RIT 265 - 274] Writes quadratic expressions in one variable to represent real-world or mathematical contexts
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.3.1.23: [RIT 271 - 271] Writes rational expressions in one variable to represent real-world or mathematical contexts
Direct and Inverse Variation
General Form of a Rational Function
Rational Functions
6.3.2: Numerical Expressions
6.3.2.1: [RIT 181 - 204] Evaluates numerical expressions involving addition and subtraction with whole numbers and parentheses
Equivalent Algebraic Expressions I
6.3.2.2: [RIT 196 - 240] Evaluates numerical expressions involving multiple operations with whole numbers and parentheses
6.3.2.4: [RIT 211 - 218] Applies the order of operations, with grouping symbols and excluding exponents, to simplify numerical expressions involving positive rational numbers
6.3.2.5: [RIT 215 - 215] Represents real-world problems involving the addition and subtraction of integers with numerical expressions
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
6.3.2.6: [RIT 217 - 240] Evaluates numerical expressions involving multiple operations with whole numbers, no parenthesis
6.3.2.8: [RIT 218 - 264] Uses properties of exponents to simplify numerical expressions involving whole-number exponents only
Exponents and Power Rules
Multiplying Exponential Expressions
6.3.2.9: [RIT 220 - 240] Applies the order of operations, with grouping symbols and excluding exponents, to simplify numerical expressions involving both positive and negative rational numbers
6.3.2.10: [RIT 221 - 243] Applies the order of operations, with grouping symbols and with whole-number exponents, to simplify numerical expressions consisting of positive rational numbers
6.3.2.11: [RIT 223 - 232] Applies the order of operations, without grouping symbols and with whole-number exponents, to simplify numerical expressions consisting of positive rational numbers
6.3.2.14: [RIT 238 - 238] Applies the order of operations, without grouping symbols or whole-number exponents, to simplify numerical expressions involving positive rational numbers
6.3.2.15: [RIT 243 - 270] Uses properties of radicals to simplify radical expressions
Operations with Radical Expressions
Simplifying Radical Expressions
6.3.2.17: [RIT 246 - 279] Uses properties of exponents to simplify numerical expressions involving negative integer exponents, including zero
6.3.2.18: [RIT 257 - 257] Represents descriptions of exponential growth with numerical expressions
Compound Interest
Exponential Growth and Decay
6.3.2.19: [RIT 260 - 271] Simplifies numerical expressions involving sums and differences of radicals
Operations with Radical Expressions
6.3.2.22: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents
Operations with Radical Expressions
Simplifying Radical Expressions
6.4.1: Algebraic Expressions
6.4.1.1: [RIT 233 - 257] Adds and subtracts polynomials
Addition and Subtraction of Functions
Addition of Polynomials
6.4.1.2: [RIT 237 - 260] Multiplies two binomial expressions
Factoring Special Products
Modeling the Factorization of x2+bx+c
Quadratics in Polynomial Form
6.4.1.3: [RIT 238 - 260] Multiplies a polynomial by a monomial
Polynomials and Linear Factors
6.4.1.5: [RIT 242 - 242] Generates equivalent nonlinear expressions by combining like terms
Simplifying Algebraic Expressions II
6.4.1.6: [RIT 246 - 257] Factors polynomials using a difference of squares
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
6.4.1.7: [RIT 247 - 261] Factors quadratic trinomials
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
6.4.1.8: [RIT 248 - 257] Multiplies monomials
Multiplying Exponential Expressions
6.4.1.11: [RIT 254 - 283] Uses properties of exponents to simplify algebraic expressions involving negative integer exponents, including zero
Dividing Exponential Expressions
Exponents and Power Rules
6.4.1.14: [RIT 256 - 267] Multiplies polynomials
6.4.1.15: [RIT 260 - 260] Writes a rational expression as a sum of a polynomial and a proper rational expression
Dividing Polynomials Using Synthetic Division
6.4.1.17: [RIT 263 - 267] Squares binomial expressions
6.5.1: Number Sentences/Equations/Equivalence
6.5.1.1: [RIT 194 - 231] Determines unknown parts in multi-step equations with whole numbers
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Two-Step Equations
6.5.1.2: [RIT 198 - 217] Determines unknown parts in multi-step equations with whole numbers and parentheses
Solving Algebraic Equations II
6.5.1.3: [RIT 209 - 229] Writes a one-step linear equation in one variable to represent a real-world or mathematical context
Solving Equations on the Number Line
Using Algebraic Equations
6.5.1.4: [RIT 210 - 242] Writes and solves a two-step linear equation in one variable involving a real-world or mathematical context
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations
Using Algebraic Equations
6.5.1.5: [RIT 220 - 248] Solves two-step linear equations with positive rational numbers
Solving Algebraic Equations II
6.5.1.6: [RIT 224 - 242] Evaluates formulas or linear equations at given values for the variables
Area of Parallelograms
Area of Triangles
Distance Formula
Equivalent Algebraic Expressions I
6.5.1.7: [RIT 226 - 247] Solves two-step linear equations with negative rational numbers
Solving Equations on the Number Line
6.5.1.8: [RIT 226 - 262] Solves multi-step linear equations with positive and negative rational numbers
Solving Algebraic Equations II
Solving Equations on the Number Line
6.5.1.9: [RIT 231 - 287] Writes a multi-step linear equation in one variable to represent a real-world or mathematical context
Solving Equations on the Number Line
6.5.1.10: [RIT 239 - 240] Writes a two-step linear equation in one variable to represent a real-world or mathematical context
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
Solving Two-Step Equations
Using Algebraic Equations
6.5.1.11: [RIT 239 - 239] Applies the multiplicative property of equality when solving an equation
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Two-Step Equations
6.5.1.12: [RIT 240 - 240] Writes the equation of a vertical line given a graph
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line
6.5.1.13: [RIT 241 - 247] Applies the simple interest formula to solve for the interest rate, principal, or time invested
6.5.1.14: [RIT 243 - 274] Writes and solves a multi-step linear equation in one variable involving a real-world or mathematical context
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations
6.5.1.15: [RIT 247 - 265] Solves literal equations for linear variables
Solving Formulas for any Variable
6.5.1.16: [RIT 249 - 256] Determines the number of solutions of a linear equation in one variable by transforming the equation into an equivalent one to reach a decision
Solving Equations by Graphing Each Side
6.5.1.17: [RIT 250 - 250] Understands the slope of a vertical line is undefined
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line
6.6.1: Inequalities
6.6.1.1: [RIT 190 - 262] Determines whether a linear equation or inequality is true for a given value of the variable
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.2: [RIT 215 - 243] Identifies an ordered pair that is a solution to a two-variable linear inequality
Linear Inequalities in Two Variables
6.6.1.3: [RIT 223 - 228] Writes a linear inequality in two variables to represent a real-world or mathematical context
Linear Inequalities in Two Variables
6.6.1.4: [RIT 227 - 249] Writes a one-step linear inequality in one variable to represent a real-world or mathematical context
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.5: [RIT 228 - 243] Writes a multi-step linear inequality in one variable to represent a real-world or mathematical context
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.6: [RIT 229 - 229] Solves one-step linear inequalities with positive rational numbers
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.7: [RIT 229 - 261] Solves two-step linear inequalities
Exploring Linear Inequalities in One Variable
6.6.1.9: [RIT 231 - 260] Writes a compound inequality to represent a real-world or mathematical context
6.6.1.10: [RIT 236 - 253] Solves one-step linear inequalities with negative rational numbers
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.11: [RIT 236 - 246] Writes and solves a one-step linear inequality in one variable involving a real-world or mathematical context
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.12: [RIT 238 - 243] Writes an inequality in the form x > c or x < c to represent a real-world or mathematical context
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.14: [RIT 241 - 246] Represents the solutions of a one-step linear inequality on a number line
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.15: [RIT 241 - 250] Represents the solutions of a compound linear inequality on a number line
6.6.1.16: [RIT 242 - 245] Writes an inequality in the form x > c or x < c to represent a set of real numbers shown on a number line
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.17: [RIT 243 - 243] Writes and solves a two-step linear inequality in one variable involving a real-world or mathematical context
Exploring Linear Inequalities in One Variable
6.6.1.18: [RIT 243 - 243] Represents an inequality in the form x > c or x < c on a number line given a real-world or mathematical context
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
6.6.1.19: [RIT 243 - 262] Solves multi-step linear inequalities
Exploring Linear Inequalities in One Variable
6.6.1.20: [RIT 244 - 254] Represents the solutions of a two-step linear inequality on a number line
Exploring Linear Inequalities in One Variable
6.6.1.21: [RIT 244 - 271] Represents the solutions of an absolute value inequality on a number line
Absolute Value Equations and Inequalities
6.6.1.24: [RIT 248 - 253] Determines whether an absolute value equation or inequality is true for a given value of the variable
Absolute Value Equations and Inequalities
6.6.1.25: [RIT 252 - 252] Writes a linear inequality to represent a region on the coordinate plane
Linear Inequalities in Two Variables
6.6.1.26: [RIT 255 - 255] Represents a compound inequality on a number line given a real-world or mathematical context
6.6.1.27: [RIT 257 - 266] Solves compound linear inequalities
6.6.1.28: [RIT 259 - 264] Represents the solutions of a two-variable linear inequality on the coordinate plane
Linear Inequalities in Two Variables
6.6.1.29: [RIT 260 - 264] Represents the solutions of a multistep linear inequality on a number line
Exploring Linear Inequalities in One Variable
6.6.1.30: [RIT 260 - 275] Solves absolute value inequalities
Absolute Value Equations and Inequalities
6.6.1.31: [RIT 263 - 263] Solves quadratic inequalities
6.6.1.33: [RIT 268 - 268] Writes a quadratic inequality to represent a region on the coordinate plane
6.6.1.34: [RIT 270 - 275] Writes an absolute value inequality to represent a real-world or mathematical context
Absolute Value Equations and Inequalities
6.7.1: System of Equations/Inequalities
6.7.1.1: [RIT 195 - 204] Solves a system of linear equations involving a real-world context, given a table
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.2: [RIT 215 - 259] Writes and solves a system of linear equations involving a real-world or mathematical context
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.3: [RIT 217 - 238] Solves a system of linear equations graphically
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.4: [RIT 230 - 254] Writes a system of linear equations to represent a real-world or mathematical context
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.5: [RIT 236 - 261] Solves a system of linear equations algebraically
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.6: [RIT 238 - 257] Identifies an ordered pair that is a solution to a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
6.7.1.7: [RIT 240 - 240] Solves a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
6.7.1.8: [RIT 240 - 253] Writes a system of linear inequalities to represent a real-world or mathematical context
Systems of Linear Inequalities (Slope-intercept form)
6.7.1.9: [RIT 250 - 257] Shows the steps to solve a system of linear equations using linear combinations
Solving Linear Systems (Standard Form)
6.7.1.10: [RIT 252 - 274] Solves a system of linear equations given a table
Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.11: [RIT 253 - 261] Shows the steps to solve a system of linear equations using the substitution method
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.12: [RIT 259 - 261] Writes a system of linear equations given a graph
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.13: [RIT 259 - 259] Graphs a system of linear equations
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
6.7.1.14: [RIT 260 - 262] Graphs a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
6.7.1.15: [RIT 262 - 262] Writes a system of linear inequalities given a graph
Systems of Linear Inequalities (Slope-intercept form)
6.7.1.18: [RIT 283 - 283] Solves real-world problems involving rates and distances that lead to a system of linear equations
Cat and Mouse (Modeling with Linear Systems)
6.7.1.19: [RIT 286 - 286] Solves a system of linear equations using matrices
Solving Linear Systems (Matrices and Special Solutions)
6.8.1: Number Sentences/Equations/Equivalence
6.8.1.2: [RIT 221 - 275] Solves quadratic equations in one variable using factoring, the quadratic formula, or other appropriate method
Quadratics in Factored Form
Roots of a Quadratic
6.8.1.3: [RIT 226 - 265] Solves absolute value equations
Absolute Value Equations and Inequalities
6.8.1.5: [RIT 230 - 262] Writes and solves a multi-step quadratic equation in one variable involving a real-world or mathematical context
Quadratics in Factored Form
Roots of a Quadratic
6.8.1.6: [RIT 240 - 267] Solves radical equations that lead to linear equations
6.8.1.9: [RIT 248 - 279] Writes a quadratic equation in one variable to represent a real-world or mathematical context
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
6.8.1.12: [RIT 254 - 264] Determines the nature of the solutions of a quadratic equation
6.8.1.13: [RIT 254 - 270] Solves quadratic equations with complex solutions
6.8.1.14: [RIT 257 - 257] Solves polynomial equations
Graphs of Polynomial Functions
6.8.1.16: [RIT 264 - 264] Writes an absolute value equation in one variable to represent a real-world or mathematical context
Absolute Value Equations and Inequalities
6.8.1.19: [RIT 268 - 287] Writes and solves an exponential equation in one variable involving a real-world or mathematical context
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
6.8.1.21: [RIT 276 - 276] Writes an exponential equation in one variable to represent a real-world or mathematical context
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
6.8.1.22: [RIT 278 - 278] Understands the relationship between the discriminant and the nature of solutions
Content correlation last revised: 9/27/2021