Growth: High School Integrated Math 1 (2020) Gizmos | Browse by Core Curriculum

1: Number Sense, Properties, and Number Theory

1.1: Number Sense: Real Numbers

1.1.1: Decimals: Represent/Model

1.1.1.1: [RIT 209 - 221] Locates decimals to the hundredths on a number line

1.1.2: Exponents

1.1.2.1: [RIT 221 - 233] Represents a whole number as a power of a whole number

1.1.3: Absolute Value: Concepts/Properties

1.1.3.1: [RIT 227 - 228] Evaluates the absolute value of a number

1.1.3.3: [RIT 241 - 245] Interprets the absolute value of rational numbers in terms of their relative position to 0 in a given real-world situation

1.1.4: Properties and Relationships of Operations

1.1.4.1: [RIT 209 - 217] Understands that a number and its opposite are the same distance from 0 on a number line

1.1.6: Rational Numbers: Equivalence

1.1.6.1: [RIT 209 - 232] Converts between decimals and fractions with denominators of 10 or 100

1.1.6.2: [RIT 211 - 237] Converts between decimals and fractions with denominators of 2, 4, or 5

1.1.6.5: [RIT 227 - 233] Converts between decimals and fractions with a denominator of 3

1.1.7: Rational Numbers: Compare/Order

1.1.7.3: [RIT 201 - 235] Compares integers that represent quantities in a real-world context

1.1.7.5: [RIT 207 - 214] Justifies a comparison of two rational numbers using a number line

1.1.7.6: [RIT 207 - 211] Compares two rational numbers shown on a number line

1.1.7.7: [RIT 209 - 239] Compares integers given the meaning of zero within a real-world situation

1.1.7.8: [RIT 211 - 211] Compares integers

1.1.7.9: [RIT 213 - 230] Compares two rational numbers using a number line

1.1.7.10: [RIT 218 - 255] Orders positive and negative rational numbers

1.1.7.11: [RIT 224 - 230] Compares positive rational numbers represented in multiple forms

1.1.7.12: [RIT 230 - 230] Orders positive rational numbers represented in multiple forms

1.1.8: Rational Numbers: Represent/Model

1.1.8.1: [RIT 191 - 219] Understands positive and negative numbers in terms of real-world situations

1.1.8.2: [RIT 200 - 218] Locates integers on a number line

1.1.8.3: [RIT 204 - 204] Locates positive and negative rational numbers on a number line

1.1.8.4: [RIT 214 - 232] Locates negative rational numbers on a number line

1.1.8.5: [RIT 233 - 233] Locates the opposite of a negative rational number on a number line

1.1.8.6: [RIT 237 - 237] Identifies values that are a given distance from a point on a number line

1.1.9: Scientific Notation

1.1.9.1: [RIT 224 - 230] Converts a number from scientific notation to standard form

1.1.9.2: [RIT 229 - 250] Converts a number from standard form to scientific notation

1.2: Properties of Real Numbers

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

1.2.1.3: [RIT 221 - 253] Understands that the product of a negative number and a positive number is negative

1.2.1.4: [RIT 222 - 231] Locates the additive inverse of a number on a number line

1.2.1.5: [RIT 228 - 242] Understands the additive inverse property

1.2.1.6: [RIT 231 - 231] Names the property of operation shown by a given statement

1.2.1.7: [RIT 243 - 243] Understands the multiplicative inverse property

1.2.1.8: [RIT 243 - 243] Understands a negative number is less than its opposite

1.2.1.9: [RIT 245 - 245] Understands the multiplicative identity property

1.2.1.10: [RIT 245 - 245] Understands that the product of two negative numbers is positive

1.2.1.11: [RIT 262 - 262] Defines properties of equality

1.3: Number Theory

1.3.1: Whole Numbers: Concepts/Properties

1.3.1.1: [RIT 196 - 240] Identifies true statements about number-theory concepts, including prime, composite, multiples, factors, least common multiples, and greatest common factors

1.3.1.2: [RIT 200 - 225] Identifies factors of numbers less than 100

1.3.1.3: [RIT 201 - 201] Determines prime factorization of a number using a factor tree

1.3.1.4: [RIT 207 - 235] Solves problems involving factors and multiples

1.3.1.5: [RIT 208 - 246] Determines common multiples

1.3.1.6: [RIT 210 - 220] Determines greatest common factors

1.3.1.7: [RIT 211 - 253] Solves real-world problems involving the least common multiple

1.3.1.8: [RIT 213 - 256] Determines least common multiples

1.3.1.9: [RIT 218 - 243] Determines the prime factorization of a number

1.3.1.11: [RIT 219 - 245] Determines common factors

1.3.1.12: [RIT 219 - 219] Identifies multiples of two-digit numbers

1.3.1.13: [RIT 222 - 223] Identifies prime and composite numbers

1.3.1.14: [RIT 223 - 239] Applies multiple tests for divisibility

1.3.1.15: [RIT 237 - 237] Identifies factors of numbers greater than 100

1.3.1.17: [RIT 259 - 259] Solves problems by applying multiple number-theory concepts, including prime numbers, multiples, factors, least common multiples, and greatest common factors

2: Computation and Estimation with Real Numbers

2.1: Computation with Real Numbers

2.1.1: Numerical Expressions

2.1.1.1: [RIT 263 - 273] Multiplies binomial radical expressions

2.1.2: Exponents

2.1.2.1: [RIT 212 - 221] Evaluates numbers with whole-number bases and whole-number exponents

2.1.2.2: [RIT 235 - 235] Evaluates numbers with negative integer bases and whole-number exponents

2.1.3: Properties and Relationships of Operations

2.1.3.2: [RIT 242 - 242] Determines the distance between two integers on a number line

2.1.4: Rational Numbers: Computation

2.1.4.1: [RIT 207 - 223] Identifies two rational numbers that combine to make 0

2.1.4.3: [RIT 225 - 253] Multiplies rational numbers, including combinations of positive or negative fractions, decimals, and integers

2.1.4.4: [RIT 228 - 242] Adds and subtracts rational numbers, including combinations of positive or negative fractions, decimals, and integers

2.1.5: Rational Numbers: Solve Real-World and Mathematical Problems

2.1.5.1: [RIT 202 - 244] Solves real-world problems involving the addition and subtraction of integers

2.1.6: Scientific Notation

2.1.6.1: [RIT 233 - 244] Solves real-world problems with numbers expressed in scientific notation

2.1.6.2: [RIT 235 - 278] Multiplies and divides numbers expressed in scientific notation

2.1.7: Radicals

2.1.7.1: [RIT 228 - 260] Evaluates the square root of a perfect square

2.1.7.2: [RIT 263 - 273] Multiplies binomial radical expressions

2.1.8: Integers: Computation

2.1.8.1: [RIT 203 - 203] Adds and subtracts integers using a number line

2.1.8.2: [RIT 205 - 220] Multiplies and divides integers

2.1.8.3: [RIT 211 - 229] Adds and subtracts integers

2.1.8.4: [RIT 229 - 236] Represents addition and subtraction of integers on a number line

2.1.8.5: [RIT 231 - 231] Understands subtracting an integer is the same as adding its opposite

2.2: Ratio, Proportion, Percent, and Rate

2.2.1: Conversion of Units

2.2.1.1: [RIT 219 - 257] Converts unit rates to solve real-world problems

2.2.1.2: [RIT 224 - 257] Converts units of speed

2.2.2: Rates/Ratios/Proportions/Percents

2.2.2.1: [RIT 185 - 220] Represents percents less than 100% using models

2.2.2.2: [RIT 188 - 228] Solves for a missing value in a proportion by basic reasoning with equivalent fractions

2.2.2.3: [RIT 190 - 242] Uses a given unit rate to solve a one-step real-world problem

2.2.2.5: [RIT 191 - 240] Uses ratios of whole numbers to calculate unit rates

2.2.2.7: [RIT 202 - 251] Solves real-world and mathematical problems using ratios or proportional reasoning

2.2.2.8: [RIT 203 - 239] Converts between decimals and percents less than 100%

2.2.2.9: [RIT 203 - 246] Solves one-step percent problems within a real-world or mathematical context

2.2.2.10: [RIT 204 - 231] Solves real-world problems involving rates associated with a ratio

2.2.2.11: [RIT 205 - 228] Uses ratios of whole numbers and fractions to calculate unit rates

2.2.2.12: [RIT 206 - 233] Uses ratios of whole numbers and decimals to calculate unit rates

2.2.2.13: [RIT 207 - 212] Identifies ratios between two quantities not from the same whole

2.2.2.15: [RIT 209 - 246] Calculates percents of numbers

2.2.2.16: [RIT 209 - 209] Recognizes a ratio within a context

2.2.2.17: [RIT 210 - 241] Identifies the part-to-whole ratio between two quantities

2.2.2.19: [RIT 214 - 249] Determines equivalent ratios

2.2.2.21: [RIT 216 - 263] Uses a given unit rate to solve a multi-step real-world problem

2.2.2.22: [RIT 216 - 253] Solves for a missing value in a proportion by taking a cross product

2.2.2.23: [RIT 217 - 247] Compares unit rates within a real-world context

2.2.2.24: [RIT 219 - 239] Identifies the part-to-part ratio between two quantities

2.2.2.25: [RIT 219 - 257] Converts unit rates to solve real-world problems

2.2.2.26: [RIT 219 - 244] Calculates the percent one number is of another number

2.2.2.27: [RIT 219 - 236] Uses ratios of decimals to calculate unit rates

2.2.2.28: [RIT 220 - 231] Converts between percents and ratios expressed verbally or in the form a:b

2.2.2.29: [RIT 220 - 237] Calculates the whole when given a part and the percent

2.2.2.31: [RIT 225 - 234] Determines the whole in a real-world percent problem given the part and the percent

2.2.2.32: [RIT 226 - 252] Writes a proportion to solve a real-world problem

2.2.2.33: [RIT 227 - 258] Solves multi-step percent problems within a real-world or mathematical context

2.2.2.34: [RIT 235 - 258] Solves real-world problems involving percent or fractional increase

2.2.2.35: [RIT 235 - 256] Calculates the percent one number is of another number for percents greater than 100%

2.2.2.37: [RIT 242 - 244] Writes a corresponding linear equation for a given proportion

2.2.2.38: [RIT 242 - 256] Calculates simple interest

2.2.2.39: [RIT 247 - 255] Compares ratios within a real-world context

2.2.3: Rational Numbers: Equivalence

2.2.3.1: [RIT 196 - 228] Converts between percents and fractions with denominators of 10 or 100

2.2.3.2: [RIT 203 - 239] Converts between decimals and percents less than 100%

2.2.3.3: [RIT 212 - 212] Determines equivalence between fractions, decimals, and percents

2.2.3.4: [RIT 214 - 214] Determines equivalence between fractions and percents using models

2.2.3.5: [RIT 215 - 229] Converts between percents and fractions with denominators other than 10 and 100

2.2.3.6: [RIT 218 - 218] Determines equivalence between decimals and percents using models

2.2.3.7: [RIT 220 - 231] Converts between percents and ratios expressed verbally or in the form a:b

2.3: Estimation with Real Numbers

2.3.1: Whole Numbers and Decimals: Rounding/Estimation

2.3.1.1: [RIT 178 - 217] Estimates solutions to one-step word problems involving any of the four operations with whole numbers

2.3.1.2: [RIT 208 - 209] Estimates solutions to one-step word problems involving any of the four operations with decimals, including contexts involving money

3: Measurement

3.1: Perimeter and Circumference

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

3.1.1.2: [RIT 213 - 239] Determines the circumference of circles, given the formula

3.1.1.3: [RIT 213 - 251] Determines the circumference of circles, formula not provided

3.1.1.4: [RIT 220 - 238] Solves problems involving decimals and perimeters of rectangles within a real-world or mathematical context

3.1.1.6: [RIT 231 - 231] Determines the ratio between perimeters of scaled figures

3.1.1.7: [RIT 232 - 240] Describes the effect on perimeter when dimensions of a non-rectangular polygon are changed

3.1.1.8: [RIT 233 - 244] Identifies the formula for the perimeter of a polygon

3.1.1.9: [RIT 248 - 248] Solves problems involving perimeters of non-rectangular polygons within a real-world or mathematical context

3.2: Area and Surface Area

3.2.1: Area

3.2.1.1: [RIT 200 - 222] Determines the area of rectangles with whole-number sides, given the formula

3.2.1.2: [RIT 201 - 224] Determines the area of rectangles with whole-number sides, formula not provided

3.2.1.3: [RIT 206 - 224] Determines side lengths given the area of rectangles

3.2.1.4: [RIT 206 - 226] Determines the area of figures composed of whole and partial unit squares

3.2.1.5: [RIT 209 - 238] Solves problems involving areas of rectangles within a real-world or mathematical context

3.2.1.6: [RIT 213 - 250] Determines the area of parallelograms, formula not provided

3.2.1.8: [RIT 216 - 216] Determines the area of rectangles with decimal sides, given the formula

3.2.1.9: [RIT 218 - 235] Determines the area of triangles, given the formula

3.2.1.10: [RIT 223 - 245] Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context

3.2.1.11: [RIT 223 - 242] Determines the area of rectangles with decimal sides, formula not provided

3.2.1.12: [RIT 224 - 224] Determines the base or height given the area of a parallelogram

3.2.1.13: [RIT 224 - 252] Describes the effect on area when dimensions of a triangle are changed

3.2.1.14: [RIT 224 - 257] Describes the effect on area when dimensions of a rectangle are changed

3.2.1.16: [RIT 228 - 267] Solves problems involving areas of figures composed of polygons within a real-world or mathematical context

3.2.1.19: [RIT 232 - 232] Identifies the formula for the area of a circle

3.2.1.20: [RIT 234 - 239] Determines the area of circles, given the formula

3.2.1.21: [RIT 234 - 241] Determines the area of figures composed of rectangles

3.2.1.22: [RIT 235 - 260] Determines the perimeter of rectangles given the area

3.2.1.23: [RIT 236 - 254] Determines the area of triangles, formula not provided

3.2.1.24: [RIT 236 - 260] Determines the area of figures composed of polygons

3.2.1.25: [RIT 237 - 250] Determines the area of rectangles given the perimeter

3.2.1.26: [RIT 240 - 269] Determines the ratio between areas of scaled figures

3.2.1.27: [RIT 242 - 259] Solves problems involving areas of polygons and circles, quarter circles, semicircles, or three-quarter circles within a real-world or mathematical context

3.2.1.28: [RIT 244 - 260] Determines the circumference given the area of a circle

3.2.1.33: [RIT 247 - 247] Determines the radius or diameter given the area of a circle

3.2.1.34: [RIT 249 - 257] Determines the area of circles, formula not provided

3.2.1.35: [RIT 251 - 251] Determines the area of figures composed of polygons and circles

3.2.1.38: [RIT 260 - 270] Describes the effect on area when the radius or diameter of a circle is changed

3.2.1.39: [RIT 261 - 261] Describes the effect on area when the circumference of a circle is changed

3.2.1.41: [RIT 265 - 265] Solves problems involving areas of circles within a real-world or mathematical context

3.2.3: Surface Area

3.2.3.1: [RIT 236 - 246] Uses the net of a prism to solve surface area problems within a real-world or mathematical context

3.2.3.2: [RIT 238 - 261] Determines the surface area of rectangular prisms or cubes, formula not provided

3.2.3.4: [RIT 240 - 248] Determines the surface area of a prism given a net

3.2.3.5: [RIT 241 - 241] Determines the surface area of cylinders, given the formula

3.2.3.6: [RIT 246 - 246] Determines the surface area of cones, given the formula

3.2.3.7: [RIT 251 - 252] Determines the surface area of pyramids, given the formula

3.2.3.8: [RIT 252 - 252] Determines the surface area of triangular prisms, formula not provided

3.2.3.9: [RIT 252 - 256] Determines the surface area of pyramids, formula not provided

3.2.3.10: [RIT 255 - 263] Describes the effect on surface area when dimensions of a rectangular prism are changed

3.2.3.12: [RIT 260 - 263] Solves problems involving surface areas of prisms within a real-world or mathematical context

3.2.3.13: [RIT 266 - 269] Determines the surface area of cylinders, formula not provided

3.3: Volume

3.3.1: Conversion of Units

3.3.1.1: [RIT 282 - 282] Converts units of volume within the same measurement system

3.3.2: Volume

3.3.2.1: [RIT 204 - 225] Determines the volume of figures by counting unit cubes

3.3.2.2: [RIT 206 - 229] Determines the volume of rectangular prisms, given the formula

3.3.2.3: [RIT 207 - 241] Determines the volume of rectangular prisms, formula not provided

3.3.2.4: [RIT 207 - 232] Represents the volume of rectangular prisms composed of unit cubes, using multiplication expressions or equations

3.3.2.5: [RIT 218 - 218] Solves problems involving rectangular prisms composed of unit cubes

3.3.2.6: [RIT 219 - 243] Recognizes situations which describe volume

3.3.2.7: [RIT 220 - 264] Solves problems involving volumes of rectangular prisms within a real-world or mathematical context

3.3.2.8: [RIT 221 - 241] Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations

3.3.2.9: [RIT 225 - 234] Understands how volume is measured

3.3.2.10: [RIT 226 - 226] Identifies the formula for the volume of a rectangular prism

3.3.2.11: [RIT 227 - 268] Determines the volume of pyramids, given the formula

3.3.2.12: [RIT 227 - 244] Identifies units for measuring volume

3.3.2.14: [RIT 231 - 253] Determines the volume of figures composed of rectangular prisms

3.3.2.16: [RIT 237 - 240] Determines the volume of cylinders, given the formula

3.3.2.17: [RIT 239 - 273] Describes the effect on volume when dimensions of a rectangular prism are changed

3.3.2.19: [RIT 245 - 245] Determines the volume of spheres, given the formula

3.3.2.20: [RIT 250 - 275] Determines the volume of cylinders, formula not provided

3.3.2.23: [RIT 254 - 274] Determines the volume of pyramids, formula not provided

3.3.2.25: [RIT 258 - 258] Determines the radius or diameter of a cylinder given the volume and height

3.3.2.26: [RIT 259 - 278] Solves problems involving volumes of cylinders within a real-world or mathematical context

3.3.2.31: [RIT 266 - 266] Solves problems involving volumes of 3-D figures composed of cones, cylinders, and spheres within a real-world or mathematical context

3.3.2.32: [RIT 266 - 266] Determines the volume of figures composed of rectangular and triangular prisms

3.3.2.34: [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

3.3.2.35: [RIT 270 - 270] Determines the volume of spheres, formula not provided

3.3.2.36: [RIT 273 - 273] Determines the volume of cones, formula not provided

3.3.2.37: [RIT 276 - 276] Solves problems involving volumes of cones within a real-world or mathematical context

4: Geometry

4.1: Points, Lines, Planes, and Angles

4.1.1: Points, Lines, Segments, Rays, and Angles

4.1.1.1: [RIT 193 - 196] Identifies parallel lines

4.1.1.2: [RIT 194 - 207] Identifies right angles

4.1.1.3: [RIT 202 - 209] Identifies acute or obtuse angles

4.1.1.4: [RIT 202 - 215] Identifies points, lines, rays, line segments, and angles

4.1.1.5: [RIT 203 - 203] Knows the definition of an acute angle

4.1.1.6: [RIT 205 - 237] Recognizes precise definitions of parallel and perpendicular lines

4.1.1.7: [RIT 213 - 239] Identifies perpendicular lines involving real-world objects

4.1.1.8: [RIT 222 - 228] Understands what the measure of an angle represents

4.1.1.9: [RIT 236 - 237] Identifies perpendicular lines

4.1.1.10: [RIT 248 - 248] Defines midpoints of line segments

4.1.1.11: [RIT 275 - 275] Defines bisectors of line segments

4.1.2: Relationships involving Lines, Angles, and Polygons

4.1.2.1: [RIT 215 - 258] Calculates unknown angle measures using the properties of complementary, supplementary, and vertical angles

4.1.2.2: [RIT 240 - 240] Defines complementary and supplementary angles

4.1.2.3: [RIT 269 - 269] Identifies vertical angles

4.2: Three-Dimensional Figures

4.2.1: Identification and Classification of 3-D Shapes

4.2.1.1: [RIT 175 - 223] Identifies faces, bases, edges, or vertices of 3-D shapes

4.2.1.3: [RIT 195 - 210] Describes cones, cylinders, and spheres based on the shape of surfaces and/or number of bases or vertices, without pictures given

4.2.1.5: [RIT 241 - 241] Identifies and names polyhedrons

4.2.2: Spatial Concepts and Symmetry

4.2.2.1: [RIT 175 - 208] Identifies multiple views of structures composed of cubes

4.2.2.2: [RIT 184 - 229] Identifies and creates nets for prisms

4.2.2.3: [RIT 186 - 202] Identifies and creates nets for pyramids

4.2.2.4: [RIT 190 - 241] Identifies and creates nets for cones

4.2.2.5: [RIT 209 - 249] Identifies single views of structures composed of cubes

4.2.2.6: [RIT 211 - 269] Identifies the cross-sections of 3-D shapes

4.2.2.7: [RIT 212 - 236] Identifies and creates nets for cylinders

4.2.2.8: [RIT 216 - 216] Identifies single views of 3-D shapes

4.3: Transformations and Symmetry

4.3.1: Transformations

4.3.1.1: [RIT 177 - 226] Performs a slide, flip, or turn without using a grid

4.3.1.2: [RIT 197 - 225] Performs a translation, reflection, or rotation, without the coordinate plane

4.3.1.3: [RIT 198 - 227] Describes a single transformation that will map one figure onto another, without the coordinate plane

4.3.1.4: [RIT 199 - 220] Identifies a slide, flip, or turn that will carry a given figure onto another, without a grid

4.3.1.6: [RIT 214 - 221] Identifies the degree of rotation that will map one figure onto another, without the coordinate plane

4.3.1.7: [RIT 221 - 254] Determines the image of a polygon on a coordinate plane after a reflection or a series of reflections

4.3.1.8: [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

4.3.1.9: [RIT 225 - 241] Determines the coordinates of the vertices of a polygon after a translation or a series of translations

4.3.1.10: [RIT 226 - 226] Determines the image of a polygon on a coordinate plane after a rotation or a series of rotations

4.3.1.12: [RIT 231 - 259] Determines the coordinates of the vertices of a polygon after a reflection or a series of reflections

4.3.1.13: [RIT 231 - 242] Describes the effects of dilation on lengths and angle measures

4.3.1.14: [RIT 232 - 268] Describes a single transformation that will map one figure onto itself, without the coordinate plane

4.3.1.15: [RIT 233 - 255] Performs a series of translations, reflections, and rotations, without the coordinate plane

4.3.1.16: [RIT 235 - 271] Determines the coordinates of the vertices of a polygon after a rotation or a series of rotations

4.3.1.17: [RIT 240 - 240] Determines the image of a translation represented in coordinate notation

4.3.1.19: [RIT 249 - 263] Describes a translation using coordinate notation

4.3.1.20: [RIT 250 - 250] Determines the image of a polygon on a coordinate plane after a series of translations, reflections, or rotations

4.3.1.21: [RIT 251 - 251] Determines the image of a dilation represented in coordinate notation

4.3.1.22: [RIT 252 - 252] Identifies the center and scale factor used in a dilation represented in the coordinate plane

4.3.1.23: [RIT 253 - 253] Applies the scale factor in a dilation to solve for unknown lengths

4.3.1.24: [RIT 264 - 264] Determines the image of a reflection represented in coordinate notation

4.3.1.25: [RIT 275 - 278] Describes a series of transformations that will map one figure onto another, without the coordinate plane

4.4: Coordinate Graphing and Distance

4.4.1: Coordinate Geometry

4.4.1.1: [RIT 181 - 229] Determines the coordinates of points in all four quadrants of a coordinate graph

4.4.1.2: [RIT 183 - 236] Plots points in all four quadrants of a coordinate plane

4.4.1.3: [RIT 187 - 208] Interprets points with whole number coordinates in the first quadrant within the given context

4.4.1.4: [RIT 198 - 221] Determines the coordinates of points in the first quadrant of a coordinate plane

4.4.1.5: [RIT 201 - 218] Counts to find the distance between points on the coordinate plane

4.4.1.6: [RIT 202 - 242] Determines the quadrant for a given ordered pair

4.4.1.8: [RIT 203 - 215] Plots the coordinates of points in the first quadrant of a coordinate plane

4.4.1.9: [RIT 205 - 232] Determines the distance between two points with the same first or second coordinate

4.4.1.10: [RIT 214 - 235] Determines the coordinates of missing vertices of geometric figures in the first quadrant given the coordinates of the other vertices

4.4.1.13: [RIT 235 - 235] Determines a side length of a polygon given the coordinates of the vertices with the same first or second coordinate

4.4.1.14: [RIT 242 - 268] Determines the distance between two points on the coordinate plane

4.4.1.17: [RIT 251 - 280] Identifies collinear points

5: Statistics and Probability

5.1: Collect, Organize, Analyze Data

5.1.1: Bivariate Data

5.1.1.1: [RIT 189 - 234] Constructs scatter plots of bivariate data

5.1.1.2: [RIT 198 - 198] Reads and interprets data from a scatter plot

5.1.1.3: [RIT 199 - 236] Describes and interprets data in a scatter plot

5.1.1.4: [RIT 206 - 249] Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships

5.1.1.6: [RIT 213 - 264] Analyzes linear trends in scatter plots to make predictions

5.1.1.8: [RIT 219 - 268] Describes and interprets outliers and clusters in a scatter plot

5.1.1.9: [RIT 220 - 220] Determines whether two quantitative variables have a positive linear, negative linear, or zero association

5.1.1.10: [RIT 221 - 221] Distinguishes between linear and nonlinear relationships in scatter plots

5.1.1.11: [RIT 222 - 237] Uses a given equation of a line of best fit to make predictions

5.1.1.12: [RIT 222 - 270] Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship

5.1.1.13: [RIT 230 - 267] Interprets the meaning of the slope or y-intercept of a line of best fit or regression line

5.1.1.14: [RIT 231 - 271] Determines a pair of quantitative variables that has either a positive, negative, or zero correlation

5.1.1.15: [RIT 233 - 233] Approximates the line of best fit on a scatter plot

5.1.1.16: [RIT 242 - 271] Compares two sets of bivariate data to draw conclusions

5.1.1.18: [RIT 246 - 260] Estimates the slope of a line of best fit

5.1.1.19: [RIT 261 - 276] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot

5.1.1.20: [RIT 261 - 261] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context

5.1.1.21: [RIT 262 - 262] Approximates the equation of the line of best fit

5.1.2: Data Analysis

5.1.2.1: [RIT 163 - 210] Reads and interprets data from a circle graph

5.1.2.2: [RIT 169 - 227] Reads and interprets data from a histogram

5.1.2.3: [RIT 175 - 229] Determines the question to ask in order to collect data for a given purpose

5.1.2.5: [RIT 180 - 234] Reads and interprets data in a scaled line graph

5.1.2.7: [RIT 193 - 235] Identifies the median, quartiles, extreme values, and outliers from a box plot

5.1.2.9: [RIT 196 - 211] Reads and interprets data from line or dot plots with whole-number scales

5.1.2.10: [RIT 198 - 198] Reads and interprets data from a scatter plot

5.1.2.14: [RIT 204 - 204] Interprets data in a table or chart

5.1.2.20: [RIT 222 - 231] Reads and interprets data from a stem-and-leaf plot

5.1.2.22: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

5.1.2.23: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

5.1.2.24: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

5.1.2.31: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

5.1.3: Data Representation

5.1.3.1: [RIT 189 - 234] Constructs scatter plots of bivariate data

5.1.3.2: [RIT 191 - 211] Represents data in line or dot plots with whole-number scales

5.1.3.3: [RIT 196 - 224] Represents data in circle graphs

5.1.3.4: [RIT 196 - 197] Represents data in line graphs

5.1.3.5: [RIT 198 - 219] Identifies the data display that best represents a given set of data or scenario

5.1.3.8: [RIT 225 - 227] Represents data in frequency tables

5.1.3.9: [RIT 226 - 226] Represents data in stem-and-leaf plots

5.1.3.10: [RIT 228 - 254] Represents data in histograms

5.1.3.12: [RIT 247 - 261] Represents data in box plots

5.1.4: Measures of Center and Spread (Variability)

5.1.4.1: [RIT 193 - 235] Identifies the median, quartiles, extreme values, and outliers from a box plot

5.1.4.2: [RIT 202 - 255] Interprets the median in the context of a data set

5.1.4.3: [RIT 202 - 214] Interprets the mode in the context of a data set

5.1.4.4: [RIT 204 - 226] Determines the median of a data set that is ordered

5.1.4.5: [RIT 208 - 237] Determines the mean of a data set

5.1.4.6: [RIT 209 - 222] Determines the mode of a data set

5.1.4.7: [RIT 215 - 215] Defines the mode

5.1.4.8: [RIT 216 - 216] Describes how the mean is calculated

5.1.4.9: [RIT 216 - 225] Describes how the median is calculated

5.1.4.10: [RIT 221 - 221] Defines the median

5.1.4.11: [RIT 223 - 248] Determines the range of a data set

5.1.4.12: [RIT 223 - 248] Determines the median of a data set that is not ordered

5.1.4.14: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

5.1.4.15: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

5.1.4.17: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

5.1.4.19: [RIT 238 - 243] Explains why the mean and median differ in a single data set

5.1.4.21: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

5.1.4.23: [RIT 255 - 272] Compares the measures of center of two data sets after the addition or deletion of data values, including outliers

5.2: Probability

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

5.2.1.3: [RIT 185 - 213] Describes the likelihood of simple events occurring

5.2.1.4: [RIT 190 - 249] Determines theoretical probabilities of simple events

5.2.1.5: [RIT 193 - 241] Makes predictions based on theoretical probabilities of simple events

5.2.1.6: [RIT 207 - 244] Makes predictions based on experimental probabilities of simple events

5.2.1.7: [RIT 208 - 220] 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

5.2.1.8: [RIT 213 - 242] Determines experimental probabilities of simple events

5.2.1.10: [RIT 215 - 230] Determines the probability of the complement of an event

5.2.1.11: [RIT 219 - 232] Describes the likelihood of compound events occurring

5.2.1.12: [RIT 221 - 268] Determines probabilities of compound independent events

5.2.1.13: [RIT 221 - 271] Distinguishes between independent and dependent events in situations

5.2.1.14: [RIT 222 - 239] Understands independence as it relates to previous outcomes

5.2.1.15: [RIT 224 - 224] Determines the odds of simple events

5.2.1.16: [RIT 224 - 224] Writes proportions to make predictions based on experimental probabilities

5.2.1.19: [RIT 238 - 286] Determines probabilities of two compound events given organized lists, tree diagrams, or charts

5.2.1.20: [RIT 239 - 242] Determines conditional probabilities of events without replacement

5.2.1.21: [RIT 240 - 240] Modifies sample space to change the probability of an event

5.2.1.22: [RIT 244 - 288] Interprets conditional probability with and without a context

5.2.1.23: [RIT 245 - 266] Determines probabilities using geometric models

5.2.1.24: [RIT 246 - 246] Makes predictions based on probability distributions

5.2.1.25: [RIT 257 - 276] Determines probabilities using the general Multiplication Rule of probability

5.2.1.26: [RIT 257 - 257] Makes predictions based on theoretical probabilities of compound events

5.2.1.27: [RIT 257 - 278] Determines conditional probabilities of compound events using relative frequencies

5.2.1.28: [RIT 258 - 266] Determines probabilities of compound dependent events

5.2.1.31: [RIT 276 - 284] Justifies the independence of two events using the product of their probabilities

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

5.2.2.2: [RIT 201 - 242] Determines the sample space for two compound events using organized lists, tree diagrams, or charts

5.2.2.3: [RIT 212 - 232] Determines the sample space for more than two compound events using organized lists, tree diagrams, or charts

5.2.2.5: [RIT 220 - 272] Uses permutations and combinations to determine the number of possible outcomes

6: Algebraic Concepts

6.1: Patterns, Sequences: Arithmetic and Geometric

6.1.1: Patterns/Sequences/Series

6.1.1.1: [RIT 190 - 226] Determines the rule, and extends or finds a missing term for growing/shrinking shape patterns

6.1.1.2: [RIT 195 - 233] Determines the two-step rule, and extends or finds a missing term for number patterns involving multiple operations

6.1.1.3: [RIT 197 - 227] Determines the rule for growing/shrinking shape patterns

6.1.1.8: [RIT 215 - 218] Determines the rule, and extends or finds a missing term given descriptions of number patterns within a real-world context

6.1.1.10: [RIT 227 - 232] Determines the single-step rule, and extends or finds a missing term for number patterns involving fractions

6.1.1.11: [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

6.2: Functions

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

6.2.1.3: [RIT 244 - 270] Distinguishes between linear and nonlinear functions given an equation, a graph, or a table of values

6.2.1.5: [RIT 261 - 270] Determines if a relation defined by a set of ordered pairs, a table of values, or a graph is a function

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

6.2.3: Patterns/Sequences/Series

6.2.3.1: [RIT 175 - 201] Determines missing values in a table representing a proportional relationship, given the function rule

6.2.3.2: [RIT 186 - 220] Determines missing values in a table representing a proportional relationship, function rule not given

6.2.3.3: [RIT 187 - 228] Determines missing values in a function table representing a nonproportional relationship, given the rule

6.2.3.5: [RIT 202 - 218] Determines the rule for a given function table representing a proportional relationship

6.2.3.6: [RIT 205 - 231] Determines the rule for a given function table representing a nonproportional relationship

6.2.3.7: [RIT 210 - 228] Identifies a function table that matches a given rule

6.2.4: Rate of Change/Slope

6.2.4.1: [RIT 202 - 249] Compares the rate of change between two proportional relationships represented in different ways

6.2.4.2: [RIT 212 - 255] Interprets the meaning of the slope of a graph in a real-world linear relationship

6.2.4.3: [RIT 212 - 225] Identifies the unit rate from the graph of a proportional relationship

6.2.4.4: [RIT 213 - 260] Calculates the rate of change from a graph representing a real-world linear relationship

6.2.4.5: [RIT 215 - 245] Calculates the rate of change from a table or description of a real-world linear relationship

6.2.4.7: [RIT 233 - 233] Interprets the meaning of the slope and y-intercept of a graph within the context of a real-world linear relationship

6.2.4.8: [RIT 236 - 246] Interprets the meaning of the slope for the equation y = mx + b within the context of a real-world linear relationship

6.2.4.9: [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

6.2.4.10: [RIT 238 - 258] Understands that the slope is the same between any two points on a line

6.2.4.11: [RIT 239 - 259] Determines the y-intercept and the slope of a line given an equation of the line in a form other than y = mx + b

6.2.4.12: [RIT 243 - 243] Compares the rate of change and intercepts between two nonproportional linear functions represented in the same way

6.2.4.13: [RIT 247 - 250] Calculates the slope of a line on a graph

6.2.4.14: [RIT 248 - 259] Calculates the slope of a line given ordered pairs

6.2.5: Rates/Ratios/Proportions/Percents

6.2.5.1: [RIT 175 - 201] Determines missing values in a table representing a proportional relationship, given the function rule

6.2.5.3: [RIT 186 - 220] Determines missing values in a table representing a proportional relationship, function rule not given

6.2.5.4: [RIT 202 - 218] Determines the rule for a given function table representing a proportional relationship

6.2.5.5: [RIT 237 - 273] Writes an equation in the form y = mx to represent a real-world proportional relationship for a given ratio

6.2.6: Linear Functions

6.2.6.1: [RIT 192 - 223] Graphs a linear function of the form y = mx given a simple scenario

6.2.6.2: [RIT 195 - 256] Interprets the meaning of the y-intercept of a graph within the context of a real-world linear relationship

6.2.6.3: [RIT 198 - 206] Expresses the linear relationship between variables in words

6.2.6.4: [RIT 200 - 232] Translates between the graph of a piecewise linear function and a verbal description of the real-world relationship

6.2.6.5: [RIT 202 - 249] Compares the rate of change between two proportional relationships represented in different ways

6.2.6.8: [RIT 212 - 255] Interprets the meaning of the slope of a graph in a real-world linear relationship

6.2.6.9: [RIT 213 - 260] Calculates the rate of change from a graph representing a real-world linear relationship

6.2.6.10: [RIT 215 - 245] Calculates the rate of change from a table or description of a real-world linear relationship

6.2.6.11: [RIT 219 - 232] Identifies the table of values given a graph of a linear relationship in the form y = mx + b

6.2.6.12: [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

6.2.6.13: [RIT 224 - 252] Understands independent and dependent variables within a linear context

6.2.6.15: [RIT 226 - 240] Writes an equation in the form y = mx to represent the relationship between real-world quantities given a simple scenario

6.2.6.17: [RIT 228 - 259] Writes the equation of a line in the form y = mx + b given a table of values or two ordered pairs

6.2.6.18: [RIT 229 - 237] Translates between the graph of a linear function and a verbal description of the real-world relationship

6.2.6.22: [RIT 231 - 233] Describes a situation that can be represented by a given linear equation

6.2.6.24: [RIT 233 - 233] Interprets the meaning of the slope and y-intercept of a graph within the context of a real-world linear relationship

6.2.6.25: [RIT 234 - 234] Interprets the meaning of the y-intercept for the equation y = mx + b within the context of a real-world linear relationship

6.2.6.27: [RIT 235 - 235] Determines whether a real-world situation can be modeled by a linear or an exponential function

6.2.6.29: [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

6.2.6.30: [RIT 235 - 235] Identifies an intercept of a graph of a linear function

6.2.6.31: [RIT 236 - 246] Interprets the meaning of the slope for the equation y = mx + b within the context of a real-world linear relationship

6.2.6.32: [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

6.2.6.33: [RIT 237 - 273] Writes an equation in the form y = mx to represent a real-world proportional relationship for a given ratio

6.2.6.34: [RIT 237 - 274] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a complex scenario

6.2.6.35: [RIT 238 - 258] Understands that the slope is the same between any two points on a line

6.2.6.36: [RIT 238 - 253] Solves direct variation problems

6.2.6.38: [RIT 239 - 239] Describes the effects of changes in parameters on linear functions that represent real-world relationships

6.2.6.39: [RIT 239 - 259] Determines the y-intercept and the slope of a line given an equation of the line in a form other than y = mx + b

6.2.6.41: [RIT 240 - 261] Describes the effects that changes in the constant terms have on the graphs of linear functions

6.2.6.44: [RIT 240 - 240] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a simple scenario

6.2.6.46: [RIT 243 - 243] Compares the rate of change and intercepts between two nonproportional linear functions represented in the same way

6.2.6.47: [RIT 243 - 243] Recognizes direct variation situations

6.2.6.49: [RIT 245 - 250] Graphs the equation of a line in the form y = mx + b

6.2.6.52: [RIT 247 - 250] Calculates the slope of a line on a graph

6.2.6.53: [RIT 248 - 259] Calculates the slope of a line given ordered pairs

6.2.6.54: [RIT 250 - 262] Illustrates the result of changes in the slope and y-intercept within a real-world linear relationship

6.2.6.55: [RIT 250 - 250] Determines the y-intercept of a line given two points on the line

6.2.6.56: [RIT 253 - 253] Graphs the equation of a line in standard form

6.2.6.57: [RIT 253 - 253] Rewrites a linear equation in the form y = mx + b

6.2.6.58: [RIT 255 - 255] Justifies that linear models increase and decrease by equal differences over equal intervals

6.2.6.59: [RIT 255 - 255] Represents a proportional relationship in more than one form, including tables, graphs, equations, and verbal descriptions

6.2.6.60: [RIT 255 - 269] Rewrites a linear equation into the form Ax + By = C

6.2.6.62: [RIT 257 - 257] Writes the equation of a line in the form y = mx + b given the slope and a point on the line

6.2.6.63: [RIT 259 - 270] Writes the equation of a line in standard form given a table of values or two ordered pairs

6.2.6.65: [RIT 261 - 265] Converts a linear equation from standard form to slope-intercept form to reveal the slope or y-intercept

6.2.6.66: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and a point on the line

6.2.6.68: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and y-intercept

6.2.7: Exponential and Logarithmic Functions

6.2.7.1: [RIT 235 - 235] Determines whether a real-world situation can be modeled by a linear or an exponential function

6.2.8: Piecewise/Absolute Value Functions

6.2.8.1: [RIT 200 - 232] Translates between the graph of a piecewise linear function and a verbal description of the real-world relationship

6.3: Evaluate and Simplify Expressions

6.3.1: Algebraic Expressions

6.3.1.1: [RIT 212 - 270] Writes linear expressions in one variable to represent real-world or mathematical contexts

6.3.1.2: [RIT 213 - 235] Evaluates linear expressions at given values with variables involving positive rational numbers

6.3.1.3: [RIT 216 - 255] Translates between verbal and algebraic expressions

6.3.1.4: [RIT 217 - 259] Generates equivalent linear expressions by using the associative, commutative, and distributive properties, and by combining like terms

6.3.1.6: [RIT 221 - 248] Generates equivalent linear expressions by using the associative, commutative, or distributive property

6.3.1.8: [RIT 227 - 242] Generates equivalent linear expressions by combining like terms

6.3.1.9: [RIT 233 - 282] Identifies the mathematical components of an algebraic expression, including sum, product, quotient, term, and coefficient

6.3.1.10: [RIT 240 - 240] Writes algebraic expressions from a mathematical description of its component parts, including sum, product, quotient, term, and coefficient

6.3.1.11: [RIT 242 - 242] Interprets the variable in a linear expression within the context of a real-world relationship

6.3.1.13: [RIT 263 - 263] Writes linear expressions in two variables to represent real-world or mathematical contexts

6.3.2: Numerical Expressions

6.3.2.1: [RIT 181 - 204] Evaluates numerical expressions involving addition and subtraction with whole numbers and parentheses

6.3.2.2: [RIT 195 - 250] Evaluates numerical expressions involving multiple operations with whole numbers and parentheses

6.3.2.4: [RIT 211 - 247] 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 - 234] Represents real-world problems involving the addition and subtraction of integers with numerical expressions

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

6.3.2.9: [RIT 218 - 255] Rewrites the sum of two whole numbers as a product of a common factor and the sum of two whole numbers

6.3.2.10: [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

6.3.2.11: [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

6.3.2.12: [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

6.3.2.15: [RIT 238 - 238] Applies the order of operations, without grouping symbols or whole-number exponents, to simplify numerical expressions involving positive rational numbers

6.3.2.16: [RIT 243 - 270] Uses properties of radicals to simplify radical expressions

6.3.2.17: [RIT 246 - 279] Uses properties of exponents to simplify numerical expressions involving negative integer exponents, including zero

6.3.2.19: [RIT 256 - 271] Simplifies numerical expressions involving sums and differences of radicals

6.3.2.20: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents

6.3.3: Exponents

6.3.3.2: [RIT 218 - 264] Uses properties of exponents to simplify numerical expressions involving whole-number exponents only

6.3.3.3: [RIT 225 - 232] Represents the value of digits in whole numbers using powers of 10 in exponential form

6.3.3.4: [RIT 246 - 279] Uses properties of exponents to simplify numerical expressions involving negative integer exponents, including zero

6.3.3.5: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents

6.3.5: Radicals

6.3.5.1: [RIT 243 - 270] Uses properties of radicals to simplify radical expressions

6.3.5.2: [RIT 256 - 271] Simplifies numerical expressions involving sums and differences of radicals

6.3.5.3: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents

6.4: Linear Equations

6.4.1: Number Sentences/Equations/Equivalence

6.4.1.1: [RIT 173 - 245] Solves one-step linear equations with positive rational numbers

6.4.1.2: [RIT 185 - 204] Translates between verbal and algebraic equations

6.4.1.3: [RIT 188 - 233] Writes a one-step linear equation in one variable to represent a real-world or mathematical context

6.4.1.4: [RIT 194 - 231] Determines unknown parts in multi-step equations with whole numbers

6.4.1.5: [RIT 198 - 217] Determines unknown parts in multi-step equations with whole numbers and parentheses

6.4.1.6: [RIT 201 - 239] Solves one-step linear equations with negative rational numbers

6.4.1.7: [RIT 210 - 242] Writes and solves a two-step linear equation in one variable involving a real-world or mathematical context

6.4.1.8: [RIT 218 - 240] Determines the number of solutions of a linear equation in one variable given the corresponding equation in the form x = a, x = x, or a = b

6.4.1.9: [RIT 220 - 248] Solves two-step linear equations with positive rational numbers

6.4.1.10: [RIT 222 - 242] Evaluates formulas or linear equations at given values for the variables

6.4.1.11: [RIT 226 - 262] Solves multi-step linear equations with positive and negative rational numbers

6.4.1.12: [RIT 226 - 247] Solves two-step linear equations with negative rational numbers

6.4.1.13: [RIT 231 - 287] Writes a multi-step linear equation in one variable to represent a real-world or mathematical context

6.4.1.14: [RIT 239 - 240] Writes a two-step linear equation in one variable to represent a real-world or mathematical context

6.4.1.15: [RIT 239 - 239] Applies the multiplicative property of equality when solving an equation

6.4.1.16: [RIT 240 - 240] Writes the equation of a vertical line given a graph

6.4.1.17: [RIT 241 - 247] Applies the simple interest formula to solve for the interest rate, principal, or time invested

6.4.1.18: [RIT 242 - 258] Determines the number of solutions of a linear equation in one variable by transforming the equation into an equivalent one to reach a decision

6.4.1.19: [RIT 243 - 274] Writes and solves a multi-step linear equation in one variable involving a real-world or mathematical context

6.4.1.20: [RIT 247 - 265] Solves literal equations for linear variables

6.4.1.21: [RIT 250 - 250] Understands the slope of a vertical line is undefined

6.4.1.22: [RIT 265 - 290] Justifies the steps in solving a linear equation

6.5: Linear Inequalities

6.5.1: Inequalities

6.5.1.1: [RIT 190 - 262] Determines whether a linear equation or inequality is true for a given value of the variable

6.5.1.2: [RIT 227 - 249] Writes a one-step linear inequality in one variable to represent a real-world or mathematical context

6.5.1.3: [RIT 228 - 243] Writes a multi-step linear inequality in one variable to represent a real-world or mathematical context

6.5.1.4: [RIT 229 - 261] Solves two-step linear inequalities

6.5.1.5: [RIT 229 - 229] Solves one-step linear inequalities with positive rational numbers

6.5.1.7: [RIT 231 - 260] Writes a compound inequality to represent a real-world or mathematical context

6.5.1.8: [RIT 234 - 245] Writes an inequality in the form x > c or x

6.5.1.9: [RIT 236 - 253] Solves one-step linear inequalities with negative rational numbers

6.5.1.10: [RIT 236 - 246] Writes and solves a one-step linear inequality in one variable involving a real-world or mathematical context

6.5.1.11: [RIT 238 - 244] Writes an inequality in the form x > c or x

6.5.1.12: [RIT 241 - 246] Represents the solutions of a one-step linear inequality on a number line

6.5.1.13: [RIT 241 - 250] Represents the solutions of a compound linear inequality on a number line

6.5.1.14: [RIT 243 - 243] Writes and solves a two-step linear inequality in one variable involving a real-world or mathematical context

6.5.1.15: [RIT 243 - 262] Solves multi-step linear inequalities

6.5.1.16: [RIT 243 - 243] Represents an inequality in the form x > c or x

6.5.1.17: [RIT 244 - 254] Represents the solutions of a two-step linear inequality on a number line

6.5.1.19: [RIT 255 - 255] Represents a compound inequality on a number line given a real-world or mathematical context

6.5.1.20: [RIT 257 - 266] Solves compound linear inequalities

6.5.1.21: [RIT 260 - 264] Represents the solutions of a multistep linear inequality on a number line

6.6: Systems of Linear Equations and Inequalities

6.6.1: System of Equations/Inequalities

6.6.1.1: [RIT 195 - 204] Solves a system of linear equations involving a real-world context, given a table

6.6.1.2: [RIT 215 - 259] Writes and solves a system of linear equations involving a real-world or mathematical context

6.6.1.3: [RIT 217 - 238] Solves a system of linear equations graphically

6.6.1.4: [RIT 222 - 254] Writes a system of linear equations to represent a real-world or mathematical context

6.6.1.5: [RIT 236 - 261] Solves a system of linear equations algebraically

6.6.1.6: [RIT 250 - 257] Shows the steps to solve a system of linear equations using linear combinations

6.6.1.7: [RIT 252 - 274] Solves a system of linear equations given a table

6.6.1.8: [RIT 253 - 261] Shows the steps to solve a system of linear equations using the substitution method

6.6.1.9: [RIT 259 - 259] Graphs a system of linear equations

6.6.1.10: [RIT 259 - 261] Writes a system of linear equations given a graph

6.6.1.11: [RIT 263 - 277] Determines the number of solutions to a system of linear equations

6.6.1.13: [RIT 283 - 283] Solves real-world problems involving rates and distances that lead to a system of linear equations