IXL skill plan | Algebra 1 plan for SpringBoard Mathematics

Skill plan for SpringBoard Mathematics - Algebra 1

IXL provides skill alignments with recommended IXL skills for each unit. Find the IXL skills that are right for you below!

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1	Unit 1 Equations and Inequalities
Activity 1 - Investigating Patterns - Cross-Country Adventures
Lesson 1-1: Numeric and Graphic Representations of Data		1. Number sequences
Lesson 1-1: Numeric and Graphic Representations of Data
1. Number sequences

Lesson 1-2: Writing Expressions		1. Shape patterns Also consider: • Write variable expressions
Lesson 1-2: Writing Expressions
1. Shape patterns Also consider: • Write variable expressions
Activity 2 - Solving Equations - What's My Number?
Lesson 2-1: Writing and Solving Equations		1. Solve linear equations with variables on one side 2. Properties of equality 3. Solve one-step and two-step linear equations: word problems Also consider: • Write variable equations • Does x satisfy the equation? • Solve two-step linear equations
Lesson 2-1: Writing and Solving Equations
1. Solve linear equations with variables on one side 2. Properties of equality 3. Solve one-step and two-step linear equations: word problems Also consider: • Write variable equations • Does x satisfy the equation? • Solve two-step linear equations

Lesson 2-2: Equations with Variables on Both Sides		1. Solve linear equations with variables on both sides 2. Solve linear equations with variables on both sides: word problems
Lesson 2-2: Equations with Variables on Both Sides
1. Solve linear equations with variables on both sides 2. Solve linear equations with variables on both sides: word problems

Lesson 2-3: Solving More Complex Equations		1. Solve linear equations: complete the solution Also consider: • Solve linear equations: mixed review
Lesson 2-3: Solving More Complex Equations
1. Solve linear equations: complete the solution Also consider: • Solve linear equations: mixed review

Lesson 2-4: Equations with No Solution or Infinitely Many Solutions		1. Find the number of solutions to a linear equation 2. Create linear equations with no solutions or infinitely many solutions Also consider: • Rate of travel: word problems
Lesson 2-4: Equations with No Solution or Infinitely Many Solutions
1. Find the number of solutions to a linear equation 2. Create linear equations with no solutions or infinitely many solutions Also consider: • Rate of travel: word problems

Lesson 2-5: Solving Literal Equations for a Variable		1. Rearrange multi-variable equations Also consider: • Weighted averages: word problems
Lesson 2-5: Solving Literal Equations for a Variable
1. Rearrange multi-variable equations Also consider: • Weighted averages: word problems
Activity 3 - Solving Inequalities - Physical Fitness Zones
Lesson 3-1: Inequalities and Their Solutions		1. Graph inequalities 2. Identify solutions to inequalities Also consider: • Write inequalities from graphs
Lesson 3-1: Inequalities and Their Solutions
1. Graph inequalities 2. Identify solutions to inequalities Also consider: • Write inequalities from graphs

Lesson 3-2: Solving Inequalities		1. Solve advanced linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Solve two-step linear inequalities
Lesson 3-2: Solving Inequalities
1. Solve advanced linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Solve two-step linear inequalities

Lesson 3-3: Compound Inequalities		1. Write compound inequalities from graphs 2. Solve compound inequalities 3. Graph solutions to compound inequalities Also consider: • Graph compound inequalities
Lesson 3-3: Compound Inequalities
1. Write compound inequalities from graphs 2. Solve compound inequalities 3. Graph solutions to compound inequalities Also consider: • Graph compound inequalities

Checkpoint opportunity		Activities 1–3 1. Checkpoint: Solve linear equations and inequalities
Checkpoint opportunity
Activities 1–3 1. Checkpoint: Solve linear equations and inequalities
Activity 4 - Absolute Value Equations and Inequalities - Student Distances
Lesson 4-1: Absolute Value Equations		1. Solve absolute value equations 2. Graph solutions to absolute value equations
Lesson 4-1: Absolute Value Equations
1. Solve absolute value equations 2. Graph solutions to absolute value equations

Lesson 4-2: Absolute Value Inequalities		1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Lesson 4-2: Absolute Value Inequalities
1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities

2	Unit 2 Functions
Activity 5 - Functions and Function Notation - Vending Machines
Lesson 5-1: Relations and Functions		1. Relations: convert between tables, graphs, mappings, and lists of points 2. Identify functions
Lesson 5-1: Relations and Functions
1. Relations: convert between tables, graphs, mappings, and lists of points 2. Identify functions

Lesson 5-2: Domain and Range		1. Domain and range of relations 2. Complete a function table from an equation
Lesson 5-2: Domain and Range
1. Domain and range of relations 2. Complete a function table from an equation

Lesson 5-3: Function Notation		1. Evaluate a function 2. Interpret functions using everyday language Also consider: • Evaluate a function: plug in an expression
Lesson 5-3: Function Notation
1. Evaluate a function 2. Interpret functions using everyday language Also consider: • Evaluate a function: plug in an expression
Activity 6 - Interpreting Graphs of Functions - Shake, Rattle, and Roll
Lesson 6-1: Key Features of Graphs		1. Identify functions: vertical line test 2. Identify independent and dependent variables Also consider: • Set-builder notation
Lesson 6-1: Key Features of Graphs
1. Identify functions: vertical line test 2. Identify independent and dependent variables Also consider: • Set-builder notation

Lesson 6-2: More Complex Graphs		1. Domain and range of exponential, absolute value, and radical functions: graphs Also consider: • Domain and range of exponential functions: equations • Domain and range of absolute value functions: equations • Domain and range of square root functions: equations
Lesson 6-2: More Complex Graphs
1. Domain and range of exponential, absolute value, and radical functions: graphs Also consider: • Domain and range of exponential functions: equations • Domain and range of absolute value functions: equations • Domain and range of square root functions: equations

Lesson 6-3: Graphs of Real-World Situations		1. Domain and range of linear functions: word problems Also consider: • Identify graphs: word problems
Lesson 6-3: Graphs of Real-World Situations
1. Domain and range of linear functions: word problems Also consider: • Identify graphs: word problems

Checkpoint opportunity		Activities 1–6 1. Checkpoint: Function concepts 2. Checkpoint: Units and quantities
Checkpoint opportunity
Activities 1–6 1. Checkpoint: Function concepts 2. Checkpoint: Units and quantities
Activity 7 - Graphs of Functions - Experiment Experiences
Lesson 7-1: The Spring Experiment		1. Complete a table and graph a linear function 2. Write a linear function from a table 3. Find values using function graphs
Lesson 7-1: The Spring Experiment
1. Complete a table and graph a linear function 2. Write a linear function from a table 3. Find values using function graphs

Lesson 7-2: The Falling Object Experiment		1. Complete a function table: quadratic functions
Lesson 7-2: The Falling Object Experiment
1. Complete a function table: quadratic functions

Lesson 7-3: The Radioactive Decay Experiment		1. Domain and range of exponential functions: graphs 2. Half-life: word problems
Lesson 7-3: The Radioactive Decay Experiment
1. Domain and range of exponential functions: graphs 2. Half-life: word problems
Activity 8 - Transformations of Functions - Transformers
Lesson 8-1: Exploring f(x) – k		1. Vertical translations of functions
Lesson 8-1: Exploring f(x) – k
1. Vertical translations of functions

Lesson 8-2: Exploring f(x + k)		1. Horizontal translations of functions
Lesson 8-2: Exploring f(x + k)
1. Horizontal translations of functions
Activity 9 - Rates of Chance - Ramp It Up
Lesson 9-1: Slope		1. Find the slope of a graph 2. Find the slope from two points 3. Find the slope from a table Also consider: • Find a missing coordinate using slope
Lesson 9-1: Slope
1. Find the slope of a graph 2. Find the slope from two points 3. Find the slope from a table Also consider: • Find a missing coordinate using slope

Lesson 9-2: Slope and Rate of Change		1. Rate of change of a linear function: graphs 2. Interpret the slope and y-intercept of a linear function Also consider: • Rate of change: graphs
Lesson 9-2: Slope and Rate of Change
1. Rate of change of a linear function: graphs 2. Interpret the slope and y-intercept of a linear function Also consider: • Rate of change: graphs

Lesson 9-3: More About Slopes		1. Identify linear functions from tables Also consider: • Identify linear and nonlinear functions from graphs
Lesson 9-3: More About Slopes
1. Identify linear functions from tables Also consider: • Identify linear and nonlinear functions from graphs
Activity 10 - Linear Models - Stacking Boxes
Lesson 10-1: Direct Variation		1. Identify proportional relationships 2. Find the constant of variation 3. Write and solve direct variation equations Also consider: • Graph a proportional relationship • Write direct variation equations
Lesson 10-1: Direct Variation
1. Identify proportional relationships 2. Find the constant of variation 3. Write and solve direct variation equations Also consider: • Graph a proportional relationship • Write direct variation equations

Lesson 10-2: Indirect Variation		1. Identify direct variation and inverse variation 2. Write and solve inverse variation equations Also consider: • Write inverse variation equations
Lesson 10-2: Indirect Variation
1. Identify direct variation and inverse variation 2. Write and solve inverse variation equations Also consider: • Write inverse variation equations

Lesson 10-3: Another Linear Model
Lesson 10-3: Another Linear Model


Lesson 10-4: Inverse Functions		1. Find the inverse of a linear function Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs
Lesson 10-4: Inverse Functions
1. Find the inverse of a linear function Also consider: • Find values of inverse functions from tables • Find values of inverse functions from graphs
Activity 11 - Arithmetic Sequences - Picky Patterns
Lesson 11-1: Identifying Arithmetic Sequences		1. Arithmetic sequences
Lesson 11-1: Identifying Arithmetic Sequences
1. Arithmetic sequences

Lesson 11-2: A Formula for Arithmetic Sequences		1. Write variable expressions for arithmetic sequences
Lesson 11-2: A Formula for Arithmetic Sequences
1. Write variable expressions for arithmetic sequences

Lesson 11-3: Arithmetic Sequences as Functions		1. Write formulas for arithmetic sequences: function notation
Lesson 11-3: Arithmetic Sequences as Functions
1. Write formulas for arithmetic sequences: function notation

Lesson 11-4: Recursive Formulas		1. Evaluate recursive formulas for sequences: function notation 2. Write recursive formulas for arithmetic sequences: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert between explicit and recursive formulas for arithmetic sequences: function notation
Lesson 11-4: Recursive Formulas
1. Evaluate recursive formulas for sequences: function notation 2. Write recursive formulas for arithmetic sequences: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert between explicit and recursive formulas for arithmetic sequences: function notation
Activity 12 - Forms of Linear Functions - Under Pressure
Lesson 12-1: Slope-Intercept Form		1. Slope-intercept form: graphs and equations 2. Slope-intercept form: write an equation from a table 3. Write a linear function: word problems Also consider: • Linear equations: solve for y • Slope-intercept form: write an equation
Lesson 12-1: Slope-Intercept Form
1. Slope-intercept form: graphs and equations 2. Slope-intercept form: write an equation from a table 3. Write a linear function: word problems Also consider: • Linear equations: solve for y • Slope-intercept form: write an equation

Lesson 12-2: Point-Slope Form		1. Point-slope form: graphs and equations 2. Point-slope form: write an equation
Lesson 12-2: Point-Slope Form
1. Point-slope form: graphs and equations 2. Point-slope form: write an equation

Lesson 12-3: Standard Form		1. Write linear equations in standard form 2. Standard form: find x- and y-intercepts 3. Standard form: graph a line from an equation
Lesson 12-3: Standard Form
1. Write linear equations in standard form 2. Standard form: find x- and y-intercepts 3. Standard form: graph a line from an equation

Lesson 12-4: Slopes of Parallel and Perpendicular Lines		1. Slopes of parallel and perpendicular lines 2. Write an equation for a parallel or perpendicular line 3. Equations of horizontal and vertical lines Also consider: • Graph a horizontal or vertical line
Lesson 12-4: Slopes of Parallel and Perpendicular Lines
1. Slopes of parallel and perpendicular lines 2. Write an equation for a parallel or perpendicular line 3. Equations of horizontal and vertical lines Also consider: • Graph a horizontal or vertical line
Activity 13 - Equations from Data - Pass the Book
Lesson 13-1: Scatter Plots and Trend Lines		1. Create scatter plots 2. Write equations for lines of best fit
Lesson 13-1: Scatter Plots and Trend Lines
1. Create scatter plots 2. Write equations for lines of best fit

Lesson 13-2: Linear Regression		1. Interpret a scatter plot 2. Find the equation of a regression line 3. Interpret regression lines
Lesson 13-2: Linear Regression
1. Interpret a scatter plot 2. Find the equation of a regression line 3. Interpret regression lines

Lesson 13-3: Quadratic and Exponential Regressions
Lesson 13-3: Quadratic and Exponential Regressions

3	Unit 3 Extensions of Linear Concepts
Activity 14 - Piecewise-Defined Linear Functions - Breakfast for Bowser
Lesson 14-1: Function Notation and Rate of Change		1. Rate of change: tables Also consider: • Unit rates
Lesson 14-1: Function Notation and Rate of Change
1. Rate of change: tables Also consider: • Unit rates

Lesson 14-2: Writing Functions and Finding Domain and Range
Lesson 14-2: Writing Functions and Finding Domain and Range


Lesson 14-3: Evaluating Functions and Graphing Piecewise-Defined Linear Functions		1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions
Lesson 14-3: Evaluating Functions and Graphing Piecewise-Defined Linear Functions
1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions

Lesson 14-4: Comparing Functions		1. Compare linear functions: tables, graphs, and equations
Lesson 14-4: Comparing Functions
1. Compare linear functions: tables, graphs, and equations
Activity 15 - Comparing Equations - A Tale of a Trucker
Lesson 15-1: Writing Equations from Graphs and Tables		1. Slope-intercept form: write an equation from a graph 2. Evaluate a linear function from its graph: word problems
Lesson 15-1: Writing Equations from Graphs and Tables
1. Slope-intercept form: write an equation from a graph 2. Evaluate a linear function from its graph: word problems

Lesson 15-2: Comparing Functions with Inequalities		• Coming soon: Compare linear functions: word problems
Lesson 15-2: Comparing Functions with Inequalities
• Coming soon: Compare linear functions: word problems

Lesson 15-3: Writing Equations from Verbal Descriptions
Lesson 15-3: Writing Equations from Verbal Descriptions

Activity 16 - Inequalities in Two Variables - Shared Storage
Lesson 16-1: Writing and Graphing Inequalities in Two Variables		1. Does (x, y) satisfy the inequality? 2. Write two-variable inequalities: word problems
Lesson 16-1: Writing and Graphing Inequalities in Two Variables
1. Does (x, y) satisfy the inequality? 2. Write two-variable inequalities: word problems

Lesson 16-2: Graphing Inequalities in Two Variables		1. Linear inequalities: solve for y 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph
Lesson 16-2: Graphing Inequalities in Two Variables
1. Linear inequalities: solve for y 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph
Activity 17 - Solving Systems of Linear Equations - A Tale of Two Truckers
Lesson 17-1: The Graphing Method		1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Also consider: • Is (x, y) a solution to the system of equations? • Write a system of equations given a graph
Lesson 17-1: The Graphing Method
1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems Also consider: • Is (x, y) a solution to the system of equations? • Write a system of equations given a graph

Lesson 17-2: Using Tables and the Substitution Method		1. Solve a system of equations using substitution 2. Solve a system of equations using substitution: word problems
Lesson 17-2: Using Tables and the Substitution Method
1. Solve a system of equations using substitution 2. Solve a system of equations using substitution: word problems

Lesson 17-3: The Elimination Method		1. Solve a system of equations using elimination 2. Solve a system of equations using elimination: word problems
Lesson 17-3: The Elimination Method
1. Solve a system of equations using elimination 2. Solve a system of equations using elimination: word problems

Lesson 17-4: Systems Without a Unique Solution		1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Also consider: • Solve a system of equations using any method
Lesson 17-4: Systems Without a Unique Solution
1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Also consider: • Solve a system of equations using any method

Lesson 17-5: Classifying Systems of Equations		1. Classify a system of equations by graphing 2. Classify a system of equations Also consider: • Solve a system of equations using any method: word problems
Lesson 17-5: Classifying Systems of Equations
1. Classify a system of equations by graphing 2. Classify a system of equations Also consider: • Solve a system of equations using any method: word problems
Activity 18 - Solving Systems of Linear Inequalities - Which Region Is It?
Lesson 18-1: Representing the Solution of a System of Inequalities		1. Is (x, y) a solution to the system of linear inequalities? 2. Solve systems of linear inequalities by graphing
Lesson 18-1: Representing the Solution of a System of Inequalities
1. Is (x, y) a solution to the system of linear inequalities? 2. Solve systems of linear inequalities by graphing

Lesson 18-2: Interpreting the Solution of a System of Inequalities
Lesson 18-2: Interpreting the Solution of a System of Inequalities


Checkpoint opportunity		Activities 1–18 1. Checkpoint: Systems of equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities
Checkpoint opportunity
Activities 1–18 1. Checkpoint: Systems of equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities

4	Unit 4 Exponents, Radicals, and Polynomials
Activity 19 - Exponent Rules - Icebergs and Exponents
Lesson 19-1: Basic Exponent Properties		1. Multiplication and division with positive exponents Also consider: • Simplify expressions involving rational exponents
Lesson 19-1: Basic Exponent Properties
1. Multiplication and division with positive exponents Also consider: • Simplify expressions involving rational exponents

Lesson 19-2: Negative and Zero Powers		1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents Also consider: • Powers with integer bases • Powers with decimal and fractional bases
Lesson 19-2: Negative and Zero Powers
1. Negative exponents 2. Multiplication rule for exponents 3. Division rule for exponents Also consider: • Powers with integer bases • Powers with decimal and fractional bases

Lesson 19-3: Additional Properties of Exponents		1. Power rule for exponents 2. Evaluate expressions using exponent rules Also consider: • Power rule with rational exponents • Identify equivalent exponential expressions I • Identify equivalent exponential expressions II
Lesson 19-3: Additional Properties of Exponents
1. Power rule for exponents 2. Evaluate expressions using exponent rules Also consider: • Power rule with rational exponents • Identify equivalent exponential expressions I • Identify equivalent exponential expressions II
Activity 20 - Operations with Radicals - Go Fly a Kite
Lesson 20-1: Radical Expressions		1. Simplify radical expressions with variables 2. Simplify radical expressions with variables: cube roots 3. Convert between rational exponents and radicals Also consider: • Simplify radical expressions • Identify rational and irrational square roots • Evaluate integers raised to positive rational exponents
Lesson 20-1: Radical Expressions
1. Simplify radical expressions with variables 2. Simplify radical expressions with variables: cube roots 3. Convert between rational exponents and radicals Also consider: • Simplify radical expressions • Identify rational and irrational square roots • Evaluate integers raised to positive rational exponents

Lesson 20-2: Adding and Subtracting Radical Expressions		1. Add and subtract radical expressions
Lesson 20-2: Adding and Subtracting Radical Expressions
1. Add and subtract radical expressions

Lesson 20-3: Multiplying and Dividing Radical Expressions		1. Multiply radical expressions 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions involving fractions Also consider: • Simplify radical expressions using conjugates • Simplify radical expressions: mixed review
Lesson 20-3: Multiplying and Dividing Radical Expressions
1. Multiply radical expressions 2. Simplify radical expressions using the distributive property 3. Simplify radical expressions involving fractions Also consider: • Simplify radical expressions using conjugates • Simplify radical expressions: mixed review

Checkpoint opportunity		Activities 1–20 1. Checkpoint: Radicals and rational exponents
Checkpoint opportunity
Activities 1–20 1. Checkpoint: Radicals and rational exponents
Activity 21 - Geometric Sequences - Go Viral!
Lesson 21-1: Identifying Geometric Sequences		1. Identify arithmetic and geometric sequences 2. Geometric sequences
Lesson 21-1: Identifying Geometric Sequences
1. Identify arithmetic and geometric sequences 2. Geometric sequences

Lesson 21-2: Formulas for Geometric Sequences		1. Write formulas for geometric sequences: function notation 2. Write recursive formulas for geometric sequences: function notation 3. Convert between explicit and recursive formulas for geometric sequences: function notation
Lesson 21-2: Formulas for Geometric Sequences
1. Write formulas for geometric sequences: function notation 2. Write recursive formulas for geometric sequences: function notation 3. Convert between explicit and recursive formulas for geometric sequences: function notation

Checkpoint opportunity		Activities 1–21 1. Checkpoint: Sequences
Checkpoint opportunity
Activities 1–21 1. Checkpoint: Sequences
Activity 22 - Exponential Functions - Protecting Your Investment
Lesson 22-1: Exponential Functions and Exponential Growth		1. Exponential growth: word problems 2. Graph increasing exponential functions
Lesson 22-1: Exponential Functions and Exponential Growth
1. Exponential growth: word problems 2. Graph increasing exponential functions

Lesson 22-2: Exponential Decay		1. Exponential decay: word problems 2. Graph decreasing exponential functions Also consider: • Evaluate an exponential function
Lesson 22-2: Exponential Decay
1. Exponential decay: word problems 2. Graph decreasing exponential functions Also consider: • Evaluate an exponential function

Lesson 22-3: Graphs of Exponential Functions		1. Match exponential functions and graphs I 2. Compare linear and exponential growth Also consider: • Identify linear and exponential functions from graphs • Describe linear and exponential growth and decay • Exponential functions over unit intervals
Lesson 22-3: Graphs of Exponential Functions
1. Match exponential functions and graphs I 2. Compare linear and exponential growth Also consider: • Identify linear and exponential functions from graphs • Describe linear and exponential growth and decay • Exponential functions over unit intervals
Activity 23 - Modeling with Exponential Functions - Growing, Growing, Gone
Lesson 23-1: Compound Interest		1. Compound interest: word problems Also consider: • Write linear and exponential functions: word problems
Lesson 23-1: Compound Interest
1. Compound interest: word problems Also consider: • Write linear and exponential functions: word problems

Lesson 23-2: Population Growth		1. Write exponential functions: word problems 2. Exponential regression Also consider: • Identify linear and exponential functions from tables • Write linear and exponential functions from tables
Lesson 23-2: Population Growth
1. Write exponential functions: word problems 2. Exponential regression Also consider: • Identify linear and exponential functions from tables • Write linear and exponential functions from tables

Checkpoint opportunity		Activities 1–23 1. Checkpoint: Compare linear and exponential functions
Checkpoint opportunity
Activities 1–23 1. Checkpoint: Compare linear and exponential functions
Activity 24 - Adding and Subtracting Polynomials - Polynomials in the Sun
Lesson 24-1: Polynomial Terminology		1. Polynomial vocabulary Also consider: • Identify monomials
Lesson 24-1: Polynomial Terminology
1. Polynomial vocabulary Also consider: • Identify monomials

Lesson 24-2: Adding Polynomials		1. Add polynomials using algebra tiles 2. Add polynomials 3. Add polynomials to find perimeter Also consider: • Model polynomials with algebra tiles
Lesson 24-2: Adding Polynomials
1. Add polynomials using algebra tiles 2. Add polynomials 3. Add polynomials to find perimeter Also consider: • Model polynomials with algebra tiles

Lesson 24-3: Subtracting Polynomials		1. Subtract polynomials using algebra tiles 2. Subtract polynomials Also consider: • Add and subtract polynomials using algebra tiles
Lesson 24-3: Subtracting Polynomials
1. Subtract polynomials using algebra tiles 2. Subtract polynomials Also consider: • Add and subtract polynomials using algebra tiles
Activity 25 - Multiplying Polynomials - Tri-Com Computers
Lesson 25-1: Multiplying Binomials		1. Multiply two binomials Also consider: • Multiply two binomials using algebra tiles
Lesson 25-1: Multiplying Binomials
1. Multiply two binomials Also consider: • Multiply two binomials using algebra tiles

Lesson 25-2: Special Products of Binomials		1. Multiply two binomials: special cases Also consider: • Multiply polynomials to find area
Lesson 25-2: Special Products of Binomials
1. Multiply two binomials: special cases Also consider: • Multiply polynomials to find area

Lesson 25-3: Multiplying Polynomials		1. Multiply polynomials 2. Multiply polynomials using area models Also consider: • Multiply a polynomial by a monomial
Lesson 25-3: Multiplying Polynomials
1. Multiply polynomials 2. Multiply polynomials using area models Also consider: • Multiply a polynomial by a monomial
Activity 26 - Factoring - Factors of Construction
Lesson 26-1: Factoring by Greatest Common Factor (GCF)		1. GCF of monomials 2. Factor out a monomial
Lesson 26-1: Factoring by Greatest Common Factor (GCF)
1. GCF of monomials 2. Factor out a monomial

Lesson 26-2: Factoring Special Products		1. Factor quadratics: special cases
Lesson 26-2: Factoring Special Products
1. Factor quadratics: special cases
Activity 27 - Factoring Trinomials - Deconstructing Floor Plans
Lesson 27-1: Factoring x² + bx + c		1. Factor quadratics with leading coefficient 1
Lesson 27-1: Factoring x² + bx + c
1. Factor quadratics with leading coefficient 1

Lesson 27-2: Factoring ax² + bx + c		1. Factor quadratics using algebra tiles 2. Factor quadratics with other leading coefficients Also consider: • Factor by grouping • Factor using a quadratic pattern
Lesson 27-2: Factoring ax² + bx + c
1. Factor quadratics using algebra tiles 2. Factor quadratics with other leading coefficients Also consider: • Factor by grouping • Factor using a quadratic pattern
Activity 28 - Simplifying Rational Expressions - Totally Rational
Lesson 28-1: Simplifying Rational Expressions		1. Divide polynomials by monomials 2. Simplify rational expressions Also consider: • Simplify exponential expressions using the division rule
Lesson 28-1: Simplifying Rational Expressions
1. Divide polynomials by monomials 2. Simplify rational expressions Also consider: • Simplify exponential expressions using the division rule

Lesson 28-2: Dividing Polynomials		1. Divide polynomials using long division
Lesson 28-2: Dividing Polynomials
1. Divide polynomials using long division

Lesson 28-3: Multiplying and Dividing Rational Expressions		1. Multiply and divide rational expressions
Lesson 28-3: Multiplying and Dividing Rational Expressions
1. Multiply and divide rational expressions

Lesson 28-4: Adding and Subtracting Rational Expressions		1. Add and subtract rational expressions
Lesson 28-4: Adding and Subtracting Rational Expressions
1. Add and subtract rational expressions

Checkpoint opportunity		Activities 1–28 1. Checkpoint: Polynomial operations
Checkpoint opportunity
Activities 1–28 1. Checkpoint: Polynomial operations

5	Unit 5 Quadratic Functions
Activity 29 - Introduction to Quadratic Functions - Touchlines
Lesson 29-1: Modeling with a Quadratic Function
Lesson 29-1: Modeling with a Quadratic Function


Lesson 29-2: Graphing and Analyzing a Quadratic Function		1. Domain and range of quadratic functions: graphs 2. Characteristics of quadratic functions: graphs Also consider: • Domain and range of quadratic functions: equations
Lesson 29-2: Graphing and Analyzing a Quadratic Function
1. Domain and range of quadratic functions: graphs 2. Characteristics of quadratic functions: graphs Also consider: • Domain and range of quadratic functions: equations
Activity 30 - Graphing Quadratic Functions - Transformers
Lesson 30-1: Translations of the Quadratic Parent Function		1. Translations of quadratic functions
Lesson 30-1: Translations of the Quadratic Parent Function
1. Translations of quadratic functions

Lesson 30-2: Stretching and Shrinking the Quadratic Parent Function
Lesson 30-2: Stretching and Shrinking the Quadratic Parent Function


Lesson 30-3: Multiple Transformations of the Quadratic Parent Function		1. Transformations of quadratic functions 2. Graph quadratic functions in vertex form
Lesson 30-3: Multiple Transformations of the Quadratic Parent Function
1. Transformations of quadratic functions 2. Graph quadratic functions in vertex form

Checkpoint opportunity		Activities 1–30 1. Checkpoint: Function transformations
Checkpoint opportunity
Activities 1–30 1. Checkpoint: Function transformations
Activity 31 - Solving Quadratic Equations by Graphing and Factoring - Trebuchet Trials
Lesson 31-1: Solving by Graphing or Factoring		1. Solve a quadratic equation by factoring Also consider: • Write a quadratic function from its zeros • Solve a quadratic equation using the zero product property
Lesson 31-1: Solving by Graphing or Factoring
1. Solve a quadratic equation by factoring Also consider: • Write a quadratic function from its zeros • Solve a quadratic equation using the zero product property

Lesson 31-2: The Axis of Symmetry and the Vertex		1. Find the axis of symmetry or the vertex of a parabola Also consider: • Write a quadratic function in vertex form from its vertex and another point • Interpret parts of quadratic expressions: word problems
Lesson 31-2: The Axis of Symmetry and the Vertex
1. Find the axis of symmetry or the vertex of a parabola Also consider: • Write a quadratic function in vertex form from its vertex and another point • Interpret parts of quadratic expressions: word problems

Lesson 31-3: Graphing a Quadratic Function		1. Graph quadratic functions in standard form 2. Match quadratic functions and graphs
Lesson 31-3: Graphing a Quadratic Function
1. Graph quadratic functions in standard form 2. Match quadratic functions and graphs

Checkpoint opportunity		Activities 1–31 1. Checkpoint: Average rate of change 2. Checkpoint: Analyze, interpret, and compare functions
Checkpoint opportunity
Activities 1–31 1. Checkpoint: Average rate of change 2. Checkpoint: Analyze, interpret, and compare functions
Activity 32 - Algebraic Methods of Solving Quadratic Equations - Keeping it Quadratic
Lesson 32-1: The Square Root Method		1. Solve a quadratic equation using square roots
Lesson 32-1: The Square Root Method
1. Solve a quadratic equation using square roots

Lesson 32-2: Completing the Square		1. Solve a quadratic equation by completing the square 2. Write a quadratic function in vertex form 3. Characteristics of quadratic functions: equations Also consider: • Complete the square
Lesson 32-2: Completing the Square
1. Solve a quadratic equation by completing the square 2. Write a quadratic function in vertex form 3. Characteristics of quadratic functions: equations Also consider: • Complete the square

Lesson 32-3: The Quadratic Formula		1. Solve a quadratic equation using the quadratic formula
Lesson 32-3: The Quadratic Formula
1. Solve a quadratic equation using the quadratic formula

Lesson 32-4: Choosing a Method and Using the Discriminant		1. Using the discriminant
Lesson 32-4: Choosing a Method and Using the Discriminant
1. Using the discriminant

Lesson 32-5: Complex Solutions		1. Introduction to complex numbers 2. Solve a quadratic equation with complex solutions
Lesson 32-5: Complex Solutions
1. Introduction to complex numbers 2. Solve a quadratic equation with complex solutions

Checkpoint opportunity		Activities 1–32 1. Checkpoint: Quadratic and exponential expressions
Checkpoint opportunity
Activities 1–32 1. Checkpoint: Quadratic and exponential expressions
Activity 33 - Applying Quadratic Equations - Rockets in Flight
Lesson 33-1: Fitting Data with a Quadratic Function
Lesson 33-1: Fitting Data with a Quadratic Function


Lesson 33-2: Interpreting Solutions of Quadratic Equations		1. Solve quadratic equations: word problems
Lesson 33-2: Interpreting Solutions of Quadratic Equations
1. Solve quadratic equations: word problems

Checkpoint opportunity		Activities 1–33 1. Checkpoint: Quadratic equations 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Graph and analyze functions
Checkpoint opportunity
Activities 1–33 1. Checkpoint: Quadratic equations 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Graph and analyze functions
Activity 34 - Modeling with Functions - Photo App
Lesson 34-1: Constructing Models		1. Identify linear, quadratic, and exponential functions from tables 2. Write linear, quadratic, and exponential functions from tables
Lesson 34-1: Constructing Models
1. Identify linear, quadratic, and exponential functions from tables 2. Write linear, quadratic, and exponential functions from tables

Lesson 34-2: Comparing Models		1. Compare linear, exponential, and quadratic growth Also consider: • Identify linear, quadratic, and exponential functions from graphs
Lesson 34-2: Comparing Models
1. Compare linear, exponential, and quadratic growth Also consider: • Identify linear, quadratic, and exponential functions from graphs

Lesson 34-3: Extending Models
Lesson 34-3: Extending Models


Checkpoint opportunity		Activities 1–34 1. Checkpoint: Build functions
Checkpoint opportunity
Activities 1–34 1. Checkpoint: Build functions
Activity 35 - Systems of Equations - Population Explosion
Lesson 35-1: Solving a System Graphically		1. Solve a system of linear and quadratic equations by graphing
Lesson 35-1: Solving a System Graphically
1. Solve a system of linear and quadratic equations by graphing

Lesson 35-2: Solving a System Algebraically		1. Solve a system of linear and quadratic equations
Lesson 35-2: Solving a System Algebraically
1. Solve a system of linear and quadratic equations

Checkpoint opportunity		Activities 1–35 1. Checkpoint: Solve equations using graphs and tables
Checkpoint opportunity
Activities 1–35 1. Checkpoint: Solve equations using graphs and tables

6	Unit 6 Probablity and Statistics
Activity 36 - Measures of Center and Spread - To Text, or Not to Text
Lesson 36-1: Mean, Median, Mode, and MAD		1. Mean, median, mode, and range 2. Mean absolute deviation
Lesson 36-1: Mean, Median, Mode, and MAD
1. Mean, median, mode, and range 2. Mean absolute deviation

Lesson 36-2: Another Measure of Variability		1. Variance and standard deviation
Lesson 36-2: Another Measure of Variability
1. Variance and standard deviation
Activity 37 - Dot and Box Plots and the Normal Distribution - Disturbing Coyotes
Lesson 37-1: Dot Plots and Box Plots		1. Box plots 2. Create line plots Also consider: • Interpret line plots
Lesson 37-1: Dot Plots and Box Plots
1. Box plots 2. Create line plots Also consider: • Interpret line plots

Lesson 37-2: Modified Box Plots		1. Calculate quartiles and interquartile range 2. Identify an outlier 3. Identify an outlier and describe the effect of removing it Also consider: • Choose appropriate measures of center and variation
Lesson 37-2: Modified Box Plots
1. Calculate quartiles and interquartile range 2. Identify an outlier 3. Identify an outlier and describe the effect of removing it Also consider: • Choose appropriate measures of center and variation

Lesson 37-3: Normally Distributed		1. Find probabilities using the normal distribution
Lesson 37-3: Normally Distributed
1. Find probabilities using the normal distribution

Checkpoint opportunity		Activities 1–37 1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets
Checkpoint opportunity
Activities 1–37 1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets
Activity 38 - Correlation - What's the Relationship?
Lesson 38-1: Scatter Plots		1. Match correlation coefficients to scatter plots Also consider: • Outliers in scatter plots
Lesson 38-1: Scatter Plots
1. Match correlation coefficients to scatter plots Also consider: • Outliers in scatter plots

Lesson 38-2: Correlation Coefficient		1. Calculate correlation coefficients 2. Correlation and causation
Lesson 38-2: Correlation Coefficient
1. Calculate correlation coefficients 2. Correlation and causation
Activity 39 - The Best-Fit Line - Regressing Linearly
Lesson 39-1: Line of Best Fit		1. Analyze a regression line of a data set
Lesson 39-1: Line of Best Fit
1. Analyze a regression line of a data set

Lesson 39-2: Residuals
Lesson 39-2: Residuals


Lesson 39-3: Interpreting the Slope and Intercept of the Best-Fit Line		1. Interpret lines of best fit: word problems
Lesson 39-3: Interpreting the Slope and Intercept of the Best-Fit Line
1. Interpret lines of best fit: word problems

Lesson 39-4: Plotting Residuals
Lesson 39-4: Plotting Residuals


Checkpoint opportunity		Activities 1–39 1. Checkpoint: Linear modeling
Checkpoint opportunity
Activities 1–39 1. Checkpoint: Linear modeling
Activity 40 - Bivariate Data - Categorically Speaking
Lesson 40-1: Bivariate Categorical Data
Lesson 40-1: Bivariate Categorical Data


Lesson 40-2: Presenting Relative Frequency Data Graphically
Lesson 40-2: Presenting Relative Frequency Data Graphically


Checkpoint opportunity		Activities 1–40 1. Checkpoint: Two-way frequency tables
Checkpoint opportunity
Activities 1–40 1. Checkpoint: Two-way frequency tables

This document includes the IXL® skill alignments to College Board's SpringBoard Mathematics curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by College Board or any other third party. IXL® and IXL Learning® are registered trademarks of IXL Learning, Inc. All other intellectual property rights (e.g., unregistered and registered trademarks and copyrights) are the property of their respective owners.