Growth: Algebra 1 International

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1: Number Sense, Properties, and Number Theory

1.1: Number Sense: Real Numbers

1.1.1: Exponents

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

Finding Factors with Area Models

1.1.2: Absolute Value: Concepts/Properties

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

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

1.1.3: Properties and Relationships of Operations

1.1.3.1: [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

1.1.4: Real/Complex Numbers: Concepts/Properties

1.1.4.3: [RIT 231 - 261] Compares and orders real numbers

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

1.1.5: Rational Numbers: Equivalence

1.1.5.1: [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

1.1.5.2: [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

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

Fraction, Decimal, Percent (Area and Grid Models)

1.1.6: Rational Numbers: Compare/Order

1.1.6.3: [RIT 211 - 211] Compares integers

Integers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

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

Ordering Percents, Fractions, and Decimals Greater Than 1

1.1.7: Rational Numbers: Represent/Model

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

Integers, Opposites, and Absolute Values

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

Integers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

1.1.8: Scientific Notation

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

Unit Conversions 2 - Scientific Notation and Significant Digits

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

Number Systems
Unit Conversions 2 - Scientific Notation and Significant Digits

1.2: 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

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

Solving Algebraic Equations I

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

Solving Algebraic Equations I

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

Adding and Subtracting Integers

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

Solving Algebraic Equations II

1.3: Number Theory

1.3.1: Whole Numbers: Concepts/Properties

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

1.3.1.3: [RIT 208 - 242] Determines common multiples

Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)

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

Pattern Flip (Patterns)

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

Pattern Flip (Patterns)

1.3.1.7: [RIT 214 - 214] Solves problems involving factors and multiples

Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

1.3.1.10: [RIT 219 - 245] Determines common factors

Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

1.3.1.13: [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)

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

Finding Factors with Area Models

1.3.1.16: [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: Computation and Estimation with Real Numbers

2.1: Computation with Real Numbers

2.1.1: Numerical Expressions

2.1.1.1: [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

Order of Operations

2.1.1.2: [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

2.1.3: Exponents

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

Exponents and Power Rules

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

Exponents and Power Rules

2.1.4: Rational Numbers: Computation

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

Adding and Subtracting Integers

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

Adding on the Number Line

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

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips

2.1.6: Scientific Notation

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

Unit Conversions 2 - Scientific Notation and Significant Digits

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

Unit Conversions 2 - Scientific Notation and Significant Digits

2.1.7: Radicals

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

Ordering and Approximating Square Roots
Square Roots

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

Operations with Radical Expressions

2.1.8: Integers: Computation

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

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips

2.1.8.2: [RIT 212 - 220] Multiplies and divides integers

Adding and Subtracting Integers

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

Adding and Subtracting Integers

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

Adding and Subtracting Integers

2.2: Ratio and Proportion

2.2.1: Conversion of Units

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

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

2.2.2: Rates/Ratios/Proportions/Percents

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

Fraction, Decimal, Percent (Area and Grid Models)
Ordering Percents, Fractions, and Decimals Greater Than 1
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Percents and Proportions
Proportions and Common Multipliers

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

Road Trip (Problem Solving)

2.2.2.4: [RIT 191 - 251] Solves real-world and mathematical problems using ratios or proportional reasoning

Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers

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

Road Trip (Problem Solving)

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

Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

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

Road Trip (Problem Solving)

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

Road Trip (Problem Solving)

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

Fraction, Decimal, Percent (Area and Grid Models)
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

2.2.2.12: [RIT 214 - 241] Identifies the part-to-whole ratio between two quantities

Part-to-part and Part-to-whole Ratios

2.2.2.13: [RIT 214 - 249] Determines equivalent ratios

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Percents and Proportions

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

Road Trip (Problem Solving)

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

Road Trip (Problem Solving)

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

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

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

Part-to-part and Part-to-whole Ratios

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

Road Trip (Problem Solving)

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

Percents and Proportions

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

Percents and Proportions

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

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Percents and Proportions

2.2.2.27: [RIT 226 - 226] Applies scale factors to solve problems involving scale drawings, maps, and models

Dilations
Perimeters and Areas of Similar Figures
Similar Figures

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

Part-to-part and Part-to-whole Ratios
Percent of Change
Percents, Fractions, and Decimals

2.2.2.29: [RIT 230 - 252] Writes a proportion to solve a real-world problem

Estimating Population Size
Polling: Neighborhood

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

Percent of Change

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

Percent of Change

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

Percent of Change
Percents and Proportions

2.2.2.34: [RIT 242 - 256] Calculates simple interest

Compound Interest

2.2.2.35: [RIT 251 - 255] Compares ratios within a real-world context

Part-to-part and Part-to-whole Ratios

2.2.3: Rational Numbers: Equivalence

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)
Percents, Fractions, and Decimals

2.3: 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

Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)

2.3.1.2: [RIT 208 - 211] Estimates solutions to one-step word problems involving any of the four operations with decimals, including contexts involving money

Estimating Sums and Differences
Multiplying Decimals (Area Model)
Multiplying with Decimals

2.3.2: Real/Complex Numbers: Concepts/Properties

2.3.2.1: [RIT 227 - 260] Approximates the value of an irrational number

Square Roots

3: Patterns, Functions, and Graphing

3.1: Patterns: Arithmetic and Geometric

3.1.1: Patterns/Sequences/Series

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

Finding Patterns

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

Function Machines 3 (Functions and Problem Solving)

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

Finding Patterns

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

Function Machines 1 (Functions and Tables)
Function Machines 3 (Functions and Problem Solving)

3.1.1.9: [RIT 218 - 258] Determines the value of a term in an arithmetic sequence given a contextual situation

Arithmetic Sequences

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

Function Machines 1 (Functions and Tables)

3.1.1.13: [RIT 229 - 266] Determines the value of a term in a geometric sequence given a contextual situation

Geometric Sequences

3.1.1.14: [RIT 229 - 285] Determines the value of a term in a geometric sequence defined by a list

Arithmetic and Geometric Sequences
Geometric Sequences

3.1.1.15: [RIT 232 - 238] Recognizes arithmetic sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

3.1.1.16: [RIT 243 - 275] Writes an expression or formula for the nth term of an arithmetic sequence given a number sequence

Arithmetic and Geometric Sequences

3.1.1.17: [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

Arithmetic Sequences

3.1.1.19: [RIT 256 - 256] Determines the common ratio in a geometric sequence

Geometric Sequences

3.1.1.20: [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: Functions

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

Introduction to Functions

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

Rational Functions

3.2.1.17: [RIT 283 - 289] Graphs the inverse of a function

Logarithmic 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 175 - 201] Determines missing values in a table representing a proportional relationship, given the function rule

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Points, Lines, and Equations

3.2.3.2: [RIT 180 - 220] Determines missing values in a table representing a proportional relationship, function rule not given

Function Machines 1 (Functions and Tables)

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

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Points, Lines, and Equations

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

Function Machines 1 (Functions and Tables)

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

Function Machines 1 (Functions and Tables)

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

Points, Lines, and Equations

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] Identifies key features of a polynomial function given a graph

Graphs of Polynomial Functions
Polynomials and Linear Factors

3.2.4.6: [RIT 270 - 270] Describes the effects of transformations on the graphs of polynomial functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a

Quadratics in Polynomial Form
Quadratics in Vertex Form
Translating and Scaling Functions

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

Direct and Inverse Variation

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 - 222] Determines the coordinates of the point representing the unit rate on a graph of a proportional relationship

Direct and Inverse Variation

3.2.5.6: [RIT 216 - 225] Identifies the unit rate from the graph of a proportional relationship

Direct and Inverse Variation

3.2.5.7: [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)

3.2.5.9: [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

Point-Slope Form of a Line
Slope-Intercept Form of a Line

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

Slope-Intercept Form of a Line

3.2.5.11: [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

3.2.5.12: [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

3.2.5.13: [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

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

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Slope

3.2.5.15: [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: Quadratic Functions

3.2.6.1: [RIT 214 - 214] Interprets zeros, extreme values, and symmetry of a graph within the context of a real-world quadratic relationship

Quadratics in Polynomial Form

3.2.6.3: [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

3.2.6.4: [RIT 232 - 251] Evaluates a quadratic function for a given value in its domain

Quadratics in Factored Form
Quadratics in Polynomial Form

3.2.6.5: [RIT 237 - 259] Evaluates a quadratic function for a given value in its domain to solve a real-world problem

Quadratics in Polynomial Form

3.2.6.6: [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

3.2.6.7: [RIT 242 - 261] Determines the zeros of a quadratic function from a table of values

Quadratics in Polynomial Form
Quadratics in Vertex Form

3.2.6.9: [RIT 247 - 280] Graphs quadratic functions

Quadratics in Polynomial Form
Quadratics in Vertex Form

3.2.6.10: [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

3.2.6.11: [RIT 250 - 280] Determines the maximum, minimum, y-intercept, or zeros of a quadratic function to solve real-world problems

Quadratics in Polynomial Form

3.2.6.12: [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

3.2.6.13: [RIT 254 - 268] Writes a quadratic function given the zeros

Quadratics in Factored Form
Quadratics in Polynomial Form

3.2.6.14: [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

3.2.6.16: [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

3.2.6.17: [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

3.2.6.18: [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

3.2.6.19: [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

3.2.6.20: [RIT 269 - 269] Determines the zeros of a quadratic function by factoring

Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic

3.2.6.21: [RIT 270 - 272] Writes a quadratic function given a graph

Quadratics in Factored Form

3.2.6.22: [RIT 272 - 277] Rewrites a quadratic equation into vertex form

Quadratics in Vertex Form

3.2.7: Linear Functions

3.2.7.1: [RIT 192 - 233] Graphs a linear function of the form y = mx given a simple scenario

Direct and Inverse Variation

3.2.7.2: [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

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

Points, Lines, and Equations
Slope-Intercept Form of a Line

3.2.7.4: [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

3.2.7.7: [RIT 219 - 259] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given the slope and y-intercept

Slope-Intercept Form of a Line

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

Points, Lines, and Equations
Slope-Intercept Form of a Line

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

Linear Functions

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

Direct and Inverse Variation

3.2.7.13: [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

3.2.7.14: [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

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

Slope-Intercept Form of a Line

3.2.7.17: [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

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

Standard Form of a Line

3.2.7.21: [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

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

Direct and Inverse Variation

3.2.7.26: [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

3.2.7.28: [RIT 241 - 241] Writes an equation in standard form to represent the relationship between real-world quantities given a scenario

Standard Form of a Line

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

Direct and Inverse Variation

3.2.7.30: [RIT 244 - 251] Graphs the equation of a line in the form y = mx + b

Slope-Intercept Form of a Line

3.2.7.32: [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

3.2.7.34: [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

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

Points, Lines, and Equations

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

Point-Slope Form of a Line
Standard Form of a Line

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

Standard Form of a Line

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

Standard Form of a Line

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

Direct and Inverse Variation

3.2.7.41: [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

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

Standard Form of a Line

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

Standard Form of a Line

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

Standard Form of a Line

3.2.8: Piecewise/Absolute Value Functions

3.2.8.2: [RIT 249 - 276] Graphs absolute value functions

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

3.2.8.3: [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

3.2.8.4: [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

3.2.8.5: [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

3.2.8.6: [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

3.2.8.7: [RIT 270 - 280] Graphs piecewise functions

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

3.2.8.8: [RIT 276 - 276] Writes a piecewise function given a graph

Translating and Scaling Functions

3.2.9: Rational Functions

3.2.9.1: [RIT 251 - 291] Determines end behavior of rational functions

General Form of a Rational Function
Rational Functions

3.2.9.2: [RIT 253 - 253] Writes rational functions to represent real-world or mathematical problems

General Form of a Rational Function
Rational Functions

3.2.9.3: [RIT 260 - 265] Identifies the table of values that represents an inverse-variation relationship

Direct and Inverse Variation

3.2.9.4: [RIT 261 - 281] Graphs rational functions

General Form of a Rational Function
Rational Functions

3.2.9.5: [RIT 261 - 282] Determines x-intercepts for rational functions

General Form of a Rational Function

3.2.9.6: [RIT 268 - 268] Determines points of discontinuity for rational functions

General Form of a Rational Function

3.2.9.7: [RIT 269 - 269] Solves inverse variation problems

Direct and Inverse Variation

3.3: Coordinate Graphing

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

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

3.3.1.3: [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 201 - 218] Counts to find the distance between points on the coordinate plane

City Tour (Coordinates)

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

City Tour (Coordinates)
Points in the Coordinate Plane
Points, Lines, and Equations

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

Distance Formula
Points in the Coordinate Plane

3.3.1.8: [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

3.3.1.9: [RIT 215 - 236] Plots points in all four quadrants of a coordinate plane

Points in the Coordinate Plane

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

Distance Formula

3.3.1.15: [RIT 251 - 280] Identifies collinear points

Points, Lines, and Equations

4: Expressions

4.1: Evaluate and Simplify Expressions

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

Using Algebraic Expressions

4.1.1.5: [RIT 217 - 253] Generates equivalent linear expressions by using the associative, commutative, and distributive properties, and by combining like terms

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

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 - 273] Simplifies rational expressions

General Form of a Rational Function

4.1.1.16: [RIT 244 - 244] Determines the number of terms in a polynomial

Polynomials and Linear Factors

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

Quadratics in Polynomial Form

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

Standard Form of a Line

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

Order of Operations

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

Order of Operations

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

Order of Operations

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

Order of Operations

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

Order of Operations

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

Order of Operations

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

Order of Operations

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

Operations with Radical Expressions
Simplifying Radical Expressions

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

Exponents and Power Rules

4.1.2.18: [RIT 260 - 271] Simplifies numerical expressions involving sums and differences of radicals

Operations with Radical Expressions

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

Operations with Radical Expressions
Simplifying Radical Expressions

4.1.4: Exponents

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

Number Systems

4.2: Operations with Algebraic Expressions

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

4.2.1.12: [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

Factoring Special Products

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

Factoring Special Products

5: Equations and Inequalities

5.1: Linear Equations

5.1.1: Number Sentences/Equations/Equivalence

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

Solving Algebraic Equations II
Solving Equations on the Number Line

5.1.1.2: [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

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

Solving Algebraic Equations II

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

Solving Equations on the Number Line

5.1.1.5: [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

5.1.1.6: [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

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

Solving Algebraic Equations II

5.1.1.8: [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

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

Solving Algebraic Equations II
Solving Equations on the Number Line

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

Solving Equations on the Number Line

5.1.1.11: [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

5.1.1.12: [RIT 237 - 237] 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

5.1.1.13: [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

5.1.1.14: [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

5.1.1.15: [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

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

Compound Interest

5.1.1.17: [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

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

Solving Formulas for any Variable

5.1.1.19: [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

5.1.1.20: [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: Linear Inequalities

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 - 229] Solves one-step linear inequalities with positive rational numbers

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

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

Exploring Linear Inequalities in One Variable

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

Compound Inequalities

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

5.2.1.13: [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

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

Compound Inequalities

5.2.1.15: [RIT 242 - 245] Writes an inequality in the form x>c or x

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

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

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

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

Exploring Linear Inequalities in One Variable

5.2.1.18: [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

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

Exploring Linear Inequalities in One Variable

5.2.1.20: [RIT 244 - 271] Represents the solutions of an absolute value inequality on a number line

Absolute Value Equations and Inequalities

5.2.1.22: [RIT 252 - 252] Writes a linear inequality to represent a region on the coordinate plane

Linear Inequalities in Two Variables

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

Compound Inequalities

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

Compound Inequalities

5.2.1.25: [RIT 259 - 264] Represents the solutions of a two-variable linear inequality on the coordinate plane

Linear Inequalities in Two Variables

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

Exploring Linear Inequalities in One Variable

5.3: Systems of Linear 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)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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 - 253] Writes a system of linear inequalities to represent a real-world or mathematical context

Systems of Linear Inequalities (Slope-intercept form)

5.3.1.8: [RIT 240 - 240] Solves a system of linear inequalities

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)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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)
Solving Linear Systems (Standard Form)

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

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

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)

5.4: Non-Linear Equations

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
Roots of a Quadratic

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
Roots of a Quadratic

5.4.1.7: [RIT 240 - 267] Solves radical equations that lead to linear equations

Radical Functions

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
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic

5.4.1.11: [RIT 254 - 264] Determines the nature of the solutions of a quadratic equation

Roots of a Quadratic

5.4.1.12: [RIT 254 - 270] Solves quadratic equations with complex solutions

Roots of a Quadratic

5.4.1.13: [RIT 257 - 257] Solves polynomial equations

Graphs of Polynomial Functions

5.4.1.15: [RIT 264 - 264] Writes an absolute value equation in one variable to represent a real-world or mathematical context

Absolute Value Equations and Inequalities

5.4.1.18: [RIT 278 - 278] Understands the relationship between the discriminant and the nature of solutions

Roots of a Quadratic

Content correlation last revised: 8/31/2021