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: Exponents
1.1.2.2: [RIT 221 - 233] Represents a whole number as a power of a whole number
Finding Factors with Area Models
1.1.3: Absolute Value: Concepts/Properties
1.1.3.1: [RIT 227 - 228] Evaluates the absolute value of a number
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
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
Integers, Opposites, and Absolute Values
1.1.5: Real/Complex Numbers: Concepts/Properties
1.1.5.3: [RIT 231 - 251] Compares and orders real numbers
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
1.1.6: Rational Numbers: Equivalence
1.1.6.1: [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
1.1.6.2: [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
1.1.6.5: [RIT 227 - 233] Converts between decimals and fractions with a denominator of 3
Fraction, Decimal, Percent (Area and Grid Models)
1.1.7: Rational Numbers: Compare/Order
1.1.7.3: [RIT 211 - 211] Compares integers
Integers, Opposites, and Absolute Values
1.1.7.4: [RIT 218 - 255] Orders positive and negative rational numbers
Rational Numbers, Opposites, and Absolute Values
1.1.7.5: [RIT 224 - 230] Compares positive rational numbers represented in multiple forms
Ordering Percents, Fractions, and Decimals Greater Than 1
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
Integers, Opposites, and Absolute Values
1.1.8.2: [RIT 200 - 218] Locates integers on a number line
Integers, Opposites, and Absolute Values
1.1.8.3: [RIT 204 - 204] Locates positive and negative rational numbers on a number line
Rational Numbers, Opposites, and Absolute Values
1.1.8.4: [RIT 214 - 232] Locates negative rational numbers on a number line
Rational Numbers, Opposites, and Absolute Values
1.1.9: Scientific Notation
1.1.9.1: [RIT 224 - 230] Converts a number from scientific notation to standard form
Unit Conversions 2 - Scientific Notation and Significant Digits
1.1.9.2: [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
1.3.1.6: [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: Trigonometry
2.2.1.1: [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
2.2.1.2: [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
2.2.1.3: [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
2.2.1.4: [RIT 250 - 270] Uses sine, cosine, or tangent to determine the length of a side in a right triangle
Sine, Cosine, and Tangent Ratios
2.2.1.6: [RIT 263 - 273] Uses sine, cosine, and tangent to determine lengths to solve real-world and mathematical problems
Sine, Cosine, and Tangent Ratios
2.2.2: Conversion of Units
2.2.2.1: [RIT 219 - 219] Converts unit rates to solve real-world problems
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.2.2: [RIT 224 - 257] Converts units of speed
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.3: Rates/Ratios/Proportions/Percents
2.2.3.1: [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
2.2.3.2: [RIT 188 - 228] Solves for a missing value in a proportion by basic reasoning with equivalent fractions
Percents and Proportions
Proportions and Common Multipliers
2.2.3.3: [RIT 190 - 242] Uses a given unit rate to solve a one-step real-world problem
2.2.3.4: [RIT 191 - 240] Uses ratios of whole numbers to calculate unit rates
2.2.3.5: [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
2.2.3.7: [RIT 203 - 239] Converts between decimals and percents less than 100%
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.3.8: [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
2.2.3.9: [RIT 205 - 228] Uses ratios of whole numbers and fractions to calculate unit rates
2.2.3.10: [RIT 206 - 233] Uses ratios of whole numbers and decimals to calculate unit rates
2.2.3.11: [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
2.2.3.12: [RIT 209 - 246] Calculates percents of numbers
Fraction, Decimal, Percent (Area and Grid Models)
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
2.2.3.13: [RIT 214 - 249] Determines equivalent ratios
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
2.2.3.15: [RIT 214 - 241] Identifies the part-to-whole ratio between two quantities
Part-to-part and Part-to-whole Ratios
2.2.3.17: [RIT 216 - 253] Solves for a missing value in a proportion by taking a cross product
2.2.3.18: [RIT 216 - 263] Uses a given unit rate to solve a multi-step real-world problem
2.2.3.19: [RIT 217 - 247] Compares unit rates within a real-world context
2.2.3.20: [RIT 219 - 239] Identifies the part-to-part ratio between two quantities
Part-to-part and Part-to-whole Ratios
2.2.3.21: [RIT 219 - 257] Converts unit rates to solve real-world problems
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
2.2.3.22: [RIT 219 - 236] Uses ratios of decimals to calculate unit rates
2.2.3.23: [RIT 219 - 244] Calculates the percent one number is of another number
2.2.3.24: [RIT 220 - 237] Calculates the whole when given a part and the percent
2.2.3.26: [RIT 225 - 234] Determines the whole in a real-world percent problem given the part and the percent
2.2.3.27: [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
2.2.3.28: [RIT 230 - 252] Writes a proportion to solve a real-world problem
Estimating Population Size
Polling: Neighborhood
2.2.3.29: [RIT 235 - 258] Solves real-world problems involving percent or fractional increase
2.2.3.30: [RIT 235 - 256] Calculates the percent one number is of another number for percents greater than 100%
2.2.3.32: [RIT 242 - 256] Calculates simple interest
2.2.3.33: [RIT 242 - 244] Writes a corresponding linear equation for a given proportion
Percent of Change
Percents and Proportions
2.2.3.34: [RIT 251 - 255] Compares ratios within a real-world context
Part-to-part and Part-to-whole Ratios
2.2.4: Rational Numbers: Equivalence
2.2.4.1: [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
2.2.4.2: [RIT 212 - 212] Determines equivalence between fractions, decimals, and percents
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.4.3: [RIT 214 - 214] Determines equivalence between fractions and percents using models
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.4.4: [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
2.2.4.5: [RIT 218 - 218] Determines equivalence between decimals and percents using models
Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals
2.2.5: Rational Numbers: Solve Real-World and Mathematical Problems
2.2.5.1: [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: Patterns/Sequences/Series
3.1.1.3: [RIT 218 - 258] Determines the value of a term in an arithmetic sequence given a contextual situation
3.1.1.6: [RIT 229 - 285] Determines the value of a term in a geometric sequence defined by a list
Arithmetic and Geometric Sequences
Geometric Sequences
3.1.1.7: [RIT 229 - 266] Determines the value of a term in a geometric sequence given a contextual situation
3.1.1.8: [RIT 232 - 238] Recognizes arithmetic sequences
Arithmetic Sequences
Arithmetic and Geometric Sequences
3.1.1.9: [RIT 235 - 256] Determines the rule, and extends or finds a missing term in a Fibonacci sequence
3.1.1.11: [RIT 243 - 272] Writes an expression or formula for the nth term of an arithmetic sequence given a number sequence
Arithmetic and Geometric Sequences
3.1.1.12: [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
3.1.1.14: [RIT 256 - 256] Determines the common ratio in a geometric sequence
3.1.1.16: [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
3.2.1: Properties and Operations of Functions
3.2.1.1: [RIT 206 - 206] Expresses a relation defined by a mapping diagram as a set of ordered pairs
3.2.1.2: [RIT 235 - 239] Determines the input of a function given an output
Function Machines 1 (Functions and Tables)
3.2.1.3: [RIT 238 - 265] Performs operations with functions
Addition and Subtraction of Functions
3.2.1.4: [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
3.2.1.6: [RIT 248 - 258] Distinguishes between linear and nonlinear functions given an equation, a graph, or a table of values
Graphs of Polynomial Functions
3.2.1.9: [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
3.2.1.11: [RIT 264 - 280] Determines the domain of a rational function
3.2.1.17: [RIT 283 - 289] Graphs the inverse of a function
3.2.1.19: [RIT 285 - 285] Describes properties of even or odd functions
Graphs of Polynomial Functions
3.2.2: Number Sentences/Equations/Equivalence
3.2.2.1: [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
3.2.3: Patterns/Sequences/Series
3.2.3.1: [RIT 210 - 228] Identifies a function table that matches a given rule
3.2.3.2: [RIT 222 - 231] Determines the rule for a given function table representing a nonproportional relationship
Function Machines 1 (Functions and Tables)
3.2.4: Polynomial Functions
3.2.4.1: [RIT 227 - 254] Identifies the zeros of a polynomial function from a graph
Graphs of Polynomial Functions
Polynomials and Linear Factors
3.2.4.2: [RIT 262 - 274] Factors polynomial functions to determine zeros
Polynomials and Linear Factors
3.2.4.4: [RIT 267 - 267] Evaluates a polynomial function using synthetic division
Dividing Polynomials Using Synthetic Division
3.2.4.5: [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
3.2.4.6: [RIT 270 - 270] Identifies key features of a polynomial function given a graph
Graphs of Polynomial Functions
Polynomials and Linear Factors
3.2.4.7: [RIT 284 - 286] Identifies the factors of a polynomial function from a graph
Polynomials and Linear Factors
3.2.5: Rate of Change/Slope
3.2.5.1: [RIT 202 - 249] Compares the rate of change between two proportional relationships represented in different ways
3.2.5.2: [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)
3.2.5.3: [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)
3.2.5.4: [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
3.2.5.5: [RIT 216 - 225] Identifies the unit rate from the graph of a proportional relationship
3.2.5.6: [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)
3.2.5.8: [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
3.2.5.9: [RIT 238 - 258] Understands that the slope is the same between any two points on a line
Slope-Intercept Form of a Line
3.2.5.10: [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
3.2.5.11: [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
3.2.5.12: [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
3.2.5.13: [RIT 247 - 250] Calculates the slope of a line on a graph
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Slope
3.2.5.14: [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
3.2.6: Trigonometric Functions/Radian Measure
3.2.6.1: [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
3.2.6.2: [RIT 261 - 276] Uses special right triangles and the unit circle to determine a value of tangent
3.2.6.3: [RIT 266 - 276] Uses special right triangles and the unit circle to determine a value of cosine
3.2.6.4: [RIT 284 - 284] Determines the sign of trigonometric values within a given range of angle measures
Cosine Function
Sine Function
Tangent Function
3.2.7: Quadratic Functions
3.2.7.1: [RIT 214 - 214] Interprets zeros, extreme values, and symmetry of a graph within the context of a real-world quadratic relationship
3.2.7.3: [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
3.2.7.4: [RIT 232 - 251] Evaluates a quadratic function for a given value in its domain
Quadratics in Factored Form
Quadratics in Polynomial Form
3.2.7.5: [RIT 237 - 259] Evaluates a quadratic function for a given value in its domain to solve a real-world problem
3.2.7.6: [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
3.2.7.7: [RIT 242 - 261] Determines the zeros of a quadratic function from a table of values
Quadratics in Polynomial Form
Quadratics in Vertex Form
3.2.7.9: [RIT 247 - 280] Graphs quadratic functions
Quadratics in Polynomial Form
Quadratics in Vertex Form
3.2.7.10: [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
3.2.7.11: [RIT 250 - 280] Determines the maximum, minimum, y-intercept, or zeros of a quadratic function to solve real-world problems
3.2.7.12: [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
3.2.7.13: [RIT 254 - 268] Writes a quadratic function given the zeros
Quadratics in Factored Form
Quadratics in Polynomial Form
3.2.7.14: [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
3.2.7.15: [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
3.2.7.16: [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
3.2.7.18: [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
3.2.7.19: [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
3.2.7.20: [RIT 269 - 269] Determines the zeros of a quadratic function by factoring
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
3.2.7.21: [RIT 270 - 272] Writes a quadratic function given a graph
3.2.7.22: [RIT 272 - 277] Rewrites a quadratic equation into vertex form
3.2.8: Linear Functions
3.2.8.1: [RIT 192 - 226] Graphs a linear function of the form y = mx given a simple scenario
3.2.8.2: [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
3.2.8.3: [RIT 198 - 206] Expresses the linear relationship between variables in words
Points, Lines, and Equations
Slope-Intercept Form of a Line
3.2.8.4: [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
3.2.8.7: [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
3.2.8.8: [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
3.2.8.10: [RIT 224 - 252] Understands independent and dependent variables within a linear context
3.2.8.11: [RIT 226 - 240] Writes an equation in the form y = mx to represent the relationship between real-world quantities given a simple scenario
3.2.8.13: [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
3.2.8.14: [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
3.2.8.16: [RIT 231 - 233] Describes a situation that can be represented by a given linear equation
Slope-Intercept Form of a Line
3.2.8.17: [RIT 235 - 235] Identifies an intercept of a graph of a linear function
3.2.8.18: [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
3.2.8.21: [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
3.2.8.22: [RIT 238 - 253] Solves direct variation problems
3.2.8.25: [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
3.2.8.28: [RIT 241 - 241] Writes an equation in standard form to represent the relationship between real-world quantities given a scenario
3.2.8.29: [RIT 243 - 243] Recognizes direct variation situations
3.2.8.30: [RIT 244 - 251] Graphs the equation of a line in the form y = mx + b
Slope-Intercept Form of a Line
3.2.8.32: [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
3.2.8.34: [RIT 250 - 250] Determines the y-intercept of a line given two points on the line
3.2.8.35: [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
3.2.8.36: [RIT 253 - 253] Graphs the equation of a line in standard form
3.2.8.37: [RIT 253 - 253] Rewrites a linear equation in the form y = mx + b
Point-Slope Form of a Line
Standard Form of a Line
3.2.8.39: [RIT 255 - 255] Represents a proportional relationship in more than one form, including tables, graphs, equations, and verbal descriptions
3.2.8.40: [RIT 255 - 269] Rewrites a linear equation into the form Ax + By = C
3.2.8.41: [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
3.2.8.42: [RIT 259 - 259] Writes the equation of a line in standard form given a table of values or two ordered pairs
3.2.8.44: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and a point on the line
3.2.8.45: [RIT 268 - 268] Writes the equation of a line in standard form given the slope and y-intercept
3.2.9: Exponential and Logarithmic Functions
3.2.9.1: [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
3.2.9.2: [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
3.2.9.3: [RIT 237 - 271] Understands that exponential models grow and decay by equal factors over equal intervals
3.2.9.4: [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
3.2.9.5: [RIT 241 - 277] Writes exponential functions to represent real-world or mathematical problems
Compound Interest
Exponential Growth and Decay
Introduction to Exponential Functions
3.2.9.6: [RIT 248 - 272] Describes the effects of changes in parameters on exponential functions that represent real-world relationships
Compound Interest
Exponential Growth and Decay
3.2.9.8: [RIT 252 - 264] Graphs an exponential function given a table of values
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
3.2.9.9: [RIT 254 - 261] Describes the effects that changes in parameters have on the graphs of exponential functions
Exponential Functions
Introduction to Exponential Functions
3.2.9.10: [RIT 256 - 278] Understands the relationship between the graphs of exponential and logarithmic functions
3.2.9.11: [RIT 259 - 270] Graphs exponential functions
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
3.2.9.12: [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
3.2.9.13: [RIT 267 - 267] Writes an exponential function given a graph
Exponential Functions
Introduction to Exponential Functions
3.2.9.14: [RIT 270 - 270] Identifies the table of values given an exponential equation
Exponential Functions
Exponential Growth and Decay
3.2.9.15: [RIT 272 - 281] Applies the definition of logarithms to solve problems
Logarithmic Functions: Translating and Scaling
3.2.9.16: [RIT 275 - 275] Understands the exponential impact of the growth factor on values of an exponential function
Compound Interest
Exponential Growth and Decay
3.2.10: Piecewise/Absolute Value Functions
3.2.10.2: [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)
3.2.10.3: [RIT 249 - 276] Graphs absolute value functions
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
3.2.10.4: [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
3.2.10.5: [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
3.2.10.6: [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
3.2.10.7: [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
3.2.10.8: [RIT 270 - 280] Graphs piecewise functions
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
3.2.10.9: [RIT 276 - 276] Writes a piecewise function given a graph
Translating and Scaling Functions
3.2.11: Rational Functions
3.2.11.1: [RIT 251 - 291] Determines end behavior of rational functions
General Form of a Rational Function
Rational Functions
3.2.11.2: [RIT 253 - 253] Writes rational functions to represent real-world or mathematical problems
General Form of a Rational Function
Rational Functions
3.2.11.3: [RIT 260 - 265] Identifies the table of values that represents an inverse-variation relationship
3.2.11.4: [RIT 261 - 281] Graphs rational functions
General Form of a Rational Function
Rational Functions
3.2.11.5: [RIT 261 - 282] Determines x-intercepts for rational functions
General Form of a Rational Function
3.2.11.6: [RIT 268 - 268] Determines points of discontinuity for rational functions
General Form of a Rational Function
3.2.11.7: [RIT 269 - 269] Solves inverse variation problems
3.3.1: Coordinate Geometry
3.3.1.1: [RIT 181 - 229] Determines the coordinates of points in all four quadrants of a coordinate graph
Points in the Coordinate Plane
3.3.1.2: [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
3.3.1.4: [RIT 205 - 232] Determines the distance between two points with the same first or second coordinate
Distance Formula
Points in the Coordinate Plane
3.3.1.5: [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
3.3.1.6: [RIT 215 - 236] Plots points in all four quadrants of a coordinate plane
Points in the Coordinate Plane
3.3.1.9: [RIT 242 - 268] Determines the distance between two points on the coordinate plane
3.3.1.12: [RIT 251 - 280] Identifies collinear points
4.1.1: Algebraic Expressions
4.1.1.1: [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)
4.1.1.2: [RIT 213 - 235] Evaluates linear expressions at given values with variables involving positive rational numbers
Equivalent Algebraic Expressions I
4.1.1.3: [RIT 216 - 247] Translates between verbal and algebraic expressions
4.1.1.4: [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
4.1.1.7: [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
4.1.1.9: [RIT 227 - 242] Generates equivalent linear expressions by combining like terms
Simplifying Algebraic Expressions II
4.1.1.10: [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
4.1.1.11: [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
4.1.1.12: [RIT 239 - 239] Generates equivalent nonlinear expressions by combining like terms
Simplifying Algebraic Expressions II
4.1.1.13: [RIT 242 - 242] Interprets the variable in a linear expression within the context of a real-world relationship
Slope-Intercept Form of a Line
4.1.1.15: [RIT 244 - 244] Determines the number of terms in a polynomial
Polynomials and Linear Factors
4.1.1.16: [RIT 244 - 273] Simplifies rational expressions
General Form of a Rational Function
4.1.1.17: [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
4.1.1.19: [RIT 254 - 269] Generates equivalent nonlinear expressions by using the associative, commutative, and distributive properties, and by combining like terms
Multiplying Exponential Expressions
4.1.1.20: [RIT 256 - 256] Interprets the constant in a quadratic expression within the context of a real-world relationship
4.1.1.21: [RIT 263 - 263] Writes linear expressions in two variables to represent real-world or mathematical contexts
4.1.1.22: [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
4.1.1.23: [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
4.1.2: Numerical Expressions
4.1.2.1: [RIT 181 - 204] Evaluates numerical expressions involving addition and subtraction with whole numbers and parentheses
Equivalent Algebraic Expressions I
4.1.2.2: [RIT 196 - 240] Evaluates numerical expressions involving multiple operations with whole numbers and parentheses
4.1.2.4: [RIT 211 - 218] Applies the order of operations, with grouping symbols and excluding exponents, to simplify numerical expressions involving positive rational numbers
4.1.2.5: [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
4.1.2.7: [RIT 217 - 240] Evaluates numerical expressions involving multiple operations with whole numbers, no parenthesis
4.1.2.8: [RIT 218 - 264] Uses properties of exponents to simplify numerical expressions involving whole-number exponents only
Exponents and Power Rules
Multiplying Exponential Expressions
4.1.2.9: [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
4.1.2.10: [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
4.1.2.11: [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
4.1.2.14: [RIT 238 - 238] Applies the order of operations, without grouping symbols or whole-number exponents, to simplify numerical expressions involving positive rational numbers
4.1.2.15: [RIT 243 - 270] Uses properties of radicals to simplify radical expressions
Operations with Radical Expressions
Simplifying Radical Expressions
4.1.2.16: [RIT 246 - 279] Uses properties of exponents to simplify numerical expressions involving negative integer exponents, including zero
4.1.2.18: [RIT 257 - 257] Represents descriptions of exponential growth with numerical expressions
Compound Interest
Exponential Growth and Decay
4.1.2.19: [RIT 260 - 271] Simplifies numerical expressions involving sums and differences of radicals
Operations with Radical Expressions
4.1.2.22: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents
Operations with Radical Expressions
Simplifying Radical Expressions
4.1.3: Exponential and Logarithmic Functions
4.1.3.1: [RIT 257 - 257] Represents descriptions of exponential growth with numerical expressions
Compound Interest
Exponential Growth and Decay
4.2.1: Algebraic Expressions
4.2.1.1: [RIT 233 - 257] Adds and subtracts polynomials
Addition and Subtraction of Functions
Addition of Polynomials
4.2.1.2: [RIT 237 - 260] Multiplies two binomial expressions
Factoring Special Products
Modeling the Factorization of x2+bx+c
Quadratics in Polynomial Form
4.2.1.3: [RIT 238 - 260] Multiplies a polynomial by a monomial
Polynomials and Linear Factors
4.2.1.5: [RIT 242 - 242] Generates equivalent nonlinear expressions by combining like terms
Simplifying Algebraic Expressions II
4.2.1.6: [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
4.2.1.7: [RIT 247 - 261] Factors quadratic trinomials
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
4.2.1.8: [RIT 248 - 257] Multiplies monomials
Multiplying Exponential Expressions
4.2.1.11: [RIT 254 - 283] Uses properties of exponents to simplify algebraic expressions involving negative integer exponents, including zero
Dividing Exponential Expressions
Exponents and Power Rules
4.2.1.14: [RIT 256 - 267] Multiplies polynomials
4.2.1.15: [RIT 260 - 260] Writes a rational expression as a sum of a polynomial and a proper rational expression
Dividing Polynomials Using Synthetic Division
4.2.1.17: [RIT 263 - 267] Squares binomial expressions
5.1.1: Number Sentences/Equations/Equivalence
5.1.1.1: [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
5.1.1.2: [RIT 198 - 217] Determines unknown parts in multi-step equations with whole numbers and parentheses
Solving Algebraic Equations II
5.1.1.3: [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
5.1.1.4: [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
5.1.1.5: [RIT 220 - 248] Solves two-step linear equations with positive rational numbers
Solving Algebraic Equations II
5.1.1.6: [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
5.1.1.7: [RIT 226 - 247] Solves two-step linear equations with negative rational numbers
Solving Equations on the Number Line
5.1.1.8: [RIT 226 - 262] Solves multi-step linear equations with positive and negative rational numbers
Solving Algebraic Equations II
Solving Equations on the Number Line
5.1.1.9: [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
5.1.1.10: [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
5.1.1.11: [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
5.1.1.12: [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
5.1.1.13: [RIT 241 - 247] Applies the simple interest formula to solve for the interest rate, principal, or time invested
5.1.1.14: [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
5.1.1.15: [RIT 247 - 265] Solves literal equations for linear variables
Solving Formulas for any Variable
5.1.1.16: [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
5.1.1.17: [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
5.2.1: Inequalities
5.2.1.1: [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
5.2.1.2: [RIT 215 - 243] Identifies an ordered pair that is a solution to a two-variable linear inequality
Linear Inequalities in Two Variables
5.2.1.3: [RIT 223 - 228] Writes a linear inequality in two variables to represent a real-world or mathematical context
Linear Inequalities in Two Variables
5.2.1.4: [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
5.2.1.5: [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
5.2.1.6: [RIT 229 - 261] Solves two-step linear inequalities
Exploring Linear Inequalities in One Variable
5.2.1.7: [RIT 229 - 229] Solves one-step linear inequalities with positive rational numbers
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
5.2.1.9: [RIT 231 - 260] Writes a compound inequality to represent a real-world or mathematical context
5.2.1.10: [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
5.2.1.11: [RIT 236 - 253] Solves one-step linear inequalities with negative rational numbers
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
5.2.1.12: [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
5.2.1.14: [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
5.2.1.15: [RIT 241 - 250] Represents the solutions of a compound linear inequality on a number line
5.2.1.16: [RIT 242 - 245] Writes an inequality in the form x>c or x
Exploring Linear Inequalities in One Variable
5.2.1.17: [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
5.2.1.18: [RIT 243 - 262] Solves multi-step linear inequalities
Exploring Linear Inequalities in One Variable
5.2.1.19: [RIT 243 - 243] Represents an inequality in the form x>c or x
Exploring Linear Inequalities in One Variable
5.2.1.20: [RIT 244 - 271] Represents the solutions of an absolute value inequality on a number line
Absolute Value Equations and Inequalities
5.2.1.21: [RIT 244 - 254] Represents the solutions of a two-step linear inequality on a number line
Exploring Linear Inequalities in One Variable
5.2.1.24: [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
5.2.1.25: [RIT 252 - 252] Writes a linear inequality to represent a region on the coordinate plane
Linear Inequalities in Two Variables
5.2.1.26: [RIT 255 - 255] Represents a compound inequality on a number line given a real-world or mathematical context
5.2.1.27: [RIT 257 - 266] Solves compound linear inequalities
5.2.1.28: [RIT 259 - 264] Represents the solutions of a two-variable linear inequality on the coordinate plane
Linear Inequalities in Two Variables
5.2.1.29: [RIT 260 - 275] Solves absolute value inequalities
Absolute Value Equations and Inequalities
5.2.1.30: [RIT 260 - 264] Represents the solutions of a multistep linear inequality on a number line
Exploring Linear Inequalities in One Variable
5.2.1.31: [RIT 263 - 263] Solves quadratic inequalities
5.2.1.33: [RIT 268 - 268] Writes a quadratic inequality to represent a region on the coordinate plane
5.2.1.34: [RIT 270 - 275] Writes an absolute value inequality to represent a real-world or mathematical context
Absolute Value Equations and Inequalities
5.3.1: System of Equations/Inequalities
5.3.1.1: [RIT 195 - 204] Solves a system of linear equations involving a real-world context, given a table
Cat and Mouse (Modeling with Linear Systems)
5.3.1.2: [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)
5.3.1.3: [RIT 217 - 238] Solves a system of linear equations graphically
Cat and Mouse (Modeling with Linear Systems)
5.3.1.4: [RIT 230 - 254] Writes a system of linear equations to represent a real-world or mathematical context
Solving Linear Systems (Matrices and Special Solutions)
5.3.1.5: [RIT 236 - 261] Solves a system of linear equations algebraically
Solving Linear Systems (Matrices and Special Solutions)
5.3.1.6: [RIT 238 - 257] Identifies an ordered pair that is a solution to a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
5.3.1.7: [RIT 240 - 240] Solves a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
5.3.1.8: [RIT 240 - 253] Writes a system of linear inequalities to represent a real-world or mathematical context
Systems of Linear Inequalities (Slope-intercept form)
5.3.1.9: [RIT 250 - 257] Shows the steps to solve a system of linear equations using linear combinations
Solving Linear Systems (Standard Form)
5.3.1.10: [RIT 252 - 274] Solves a system of linear equations given a table
Cat and Mouse (Modeling with Linear Systems)
5.3.1.11: [RIT 253 - 261] Shows the steps to solve a system of linear equations using the substitution method
Solving Linear Systems (Slope-Intercept Form)
5.3.1.12: [RIT 259 - 259] Graphs a system of linear equations
Solving Linear Systems (Matrices and Special Solutions)
5.3.1.13: [RIT 259 - 261] Writes a system of linear equations given a graph
Solving Linear Systems (Matrices and Special Solutions)
5.3.1.14: [RIT 260 - 262] Graphs a system of linear inequalities
Systems of Linear Inequalities (Slope-intercept form)
5.3.1.15: [RIT 262 - 262] Writes a system of linear inequalities given a graph
Systems of Linear Inequalities (Slope-intercept form)
5.3.1.18: [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)
5.3.1.19: [RIT 286 - 286] Solves a system of linear equations using matrices
Solving Linear Systems (Matrices and Special Solutions)
5.4.1: Number Sentences/Equations/Equivalence
5.4.1.2: [RIT 221 - 275] Solves quadratic equations in one variable using factoring, the quadratic formula, or other appropriate method
Quadratics in Factored Form
5.4.1.3: [RIT 226 - 265] Solves absolute value equations
Absolute Value Equations and Inequalities
5.4.1.5: [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
5.4.1.6: [RIT 240 - 267] Solves radical equations that lead to linear equations
5.4.1.9: [RIT 248 - 279] Writes a quadratic equation in one variable to represent a real-world or mathematical context
Quadratics in Factored Form
5.4.1.12: [RIT 254 - 270] Solves quadratic equations with complex solutions
5.4.1.13: [RIT 254 - 264] Determines the nature of the solutions of a quadratic equation
5.4.1.14: [RIT 257 - 257] Solves polynomial equations
Graphs of Polynomial Functions
5.4.1.17: [RIT 264 - 264] Writes an absolute value equation in one variable to represent a real-world or mathematical context
Absolute Value Equations and Inequalities
5.4.1.19: [RIT 268 - 287] Writes and solves an exponential equation in one variable involving a real-world or mathematical context
Exponential Functions
5.4.1.21: [RIT 276 - 276] Writes an exponential equation in one variable to represent a real-world or mathematical context
Exponential Functions
5.4.1.22: [RIT 278 - 278] Understands the relationship between the discriminant and the nature of solutions
5.4.3: Pythagorean Theorem
5.4.3.1: [RIT 241 - 275] Uses the Pythagorean Theorem to solve real-world or mathematical problems
Pythagorean Theorem
5.4.3.2: [RIT 242 - 266] Uses the Pythagorean Theorem to calculate the length of a missing side of a right triangle
Solving Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable
5.3: Systems of Linear Equations and Inequalities
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
5.4: Non-Linear Equations
Roots of a Quadratic
Roots of a Quadratic
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Exponential Growth and Decay
Introduction to Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
Pythagorean Theorem with a Geoboard
Content correlation last revised: 8/31/2021