IXL skill plan | Intensified Algebra 1 plan for Agile Mind

Skill plan for Agile Mind - Intensified 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 Getting started with Algebra
Topic 1 - Exploring problem-solving strategies
Lesson 1.1: Collaborating around mathematics		1. Model decimals and fractions 2. Solve proportions: word problems 3. Estimate sums and differences of decimals 4. Area Also consider: • Solve proportions
Lesson 1.1: Collaborating around mathematics
1. Model decimals and fractions 2. Solve proportions: word problems 3. Estimate sums and differences of decimals 4. Area Also consider: • Solve proportions

Lesson 1.2: Collaboration and problem solving		1. Percent word problems 2. Multi-step problems with percents 3. Add, subtract, multiply, and divide money amounts: word problems Also consider: • Shape patterns
Lesson 1.2: Collaboration and problem solving
1. Percent word problems 2. Multi-step problems with percents 3. Add, subtract, multiply, and divide money amounts: word problems Also consider: • Shape patterns

Lesson 1.3: Mathematical presentations		1. Find the probability 2. Multi-step word problems 3. Surface area
Lesson 1.3: Mathematical presentations
1. Find the probability 2. Multi-step word problems 3. Surface area

Lesson 1.4: Building a mathematical toolbox		1. Guess-and-check word problems 2. Combinations 3. Perimeter Also consider: • Convert between percents, fractions, and decimals
Lesson 1.4: Building a mathematical toolbox
1. Guess-and-check word problems 2. Combinations 3. Perimeter Also consider: • Convert between percents, fractions, and decimals

Lesson 1.5: Exploring sequences		1. Identify arithmetic and geometric sequences 2. Arithmetic sequences 3. Geometric sequences Also consider: • Percent of a number: tax, discount, and more
Lesson 1.5: Exploring sequences
1. Identify arithmetic and geometric sequences 2. Arithmetic sequences 3. Geometric sequences Also consider: • Percent of a number: tax, discount, and more

Lesson 1.6: Problem solving with patterns		1. Find two numbers with a given sum and product 2. Absolute value and opposites 3. Add integers using number lines 4. Subtract integers using number lines Also consider: • Add and subtract integers • Understanding opposite integers • Understanding absolute value • Quantities that combine to zero: word problems • Area and perimeter: word problems • Volume
Lesson 1.6: Problem solving with patterns
1. Find two numbers with a given sum and product 2. Absolute value and opposites 3. Add integers using number lines 4. Subtract integers using number lines Also consider: • Add and subtract integers • Understanding opposite integers • Understanding absolute value • Quantities that combine to zero: word problems • Area and perimeter: word problems • Volume
Topic 2 - Getting smarter through algebraic reasoning
Lesson 2.1: Actual and perceived notions of mathematics ability		1. Evaluate numerical expressions involving whole numbers Also consider: • Powers with integer bases
Lesson 2.1: Actual and perceived notions of mathematics ability
1. Evaluate numerical expressions involving whole numbers Also consider: • Powers with integer bases

Lesson 2.2: A problem-solving routine		1. Number sequences 2. Input/output tables with addition, subtraction, multiplication, and division 3. Identify mistakes involving the order of operations
Lesson 2.2: A problem-solving routine
1. Number sequences 2. Input/output tables with addition, subtraction, multiplication, and division 3. Identify mistakes involving the order of operations

Lesson 2.3: Collaborating around a mid-unit assessment		1. Identify mistakes in number patterns 2. Solve percent equations 3. Multiply two decimals: where does the decimal point go?
Lesson 2.3: Collaborating around a mid-unit assessment
1. Identify mistakes in number patterns 2. Solve percent equations 3. Multiply two decimals: where does the decimal point go?

Lesson 2.4: Applying effort and growing your brain		1. Understand multiplying by a negative integer using a number line 2. Multiply and divide integers 3. Evaluate multi-variable expressions with exponents Also consider: • Add, subtract, multiply, and divide integers
Lesson 2.4: Applying effort and growing your brain
1. Understand multiplying by a negative integer using a number line 2. Multiply and divide integers 3. Evaluate multi-variable expressions with exponents Also consider: • Add, subtract, multiply, and divide integers

Lesson 2.5: Checking for understanding with an online assessment		1. Sequences: mixed review 2. Find two numbers based on sum and difference
Lesson 2.5: Checking for understanding with an online assessment
1. Sequences: mixed review 2. Find two numbers based on sum and difference
Topic 3 - Foundations of algebra
Lesson 3.1: Variables, expressions, and properties		1. Evaluate numerical expressions involving integers 2. Write variable expressions Also consider: • Properties of addition and multiplication • Coordinate plane review
Lesson 3.1: Variables, expressions, and properties
1. Evaluate numerical expressions involving integers 2. Write variable expressions Also consider: • Properties of addition and multiplication • Coordinate plane review

Lesson 3.2: The distributive property		1. Multiply using the distributive property: area models 2. Distributive property
Lesson 3.2: The distributive property
1. Multiply using the distributive property: area models 2. Distributive property

Lesson 3.3: Working with algebraic expressions		1. Write variable expressions: word problems 2. Evaluate variable expressions: word problems
Lesson 3.3: Working with algebraic expressions
1. Write variable expressions: word problems 2. Evaluate variable expressions: word problems

Lesson 3.4: More about expressions		1. Area and perimeter of rectangles using variable expressions Also consider: • Simplify variable expressions involving like terms and the distributive property
Lesson 3.4: More about expressions
1. Area and perimeter of rectangles using variable expressions Also consider: • Simplify variable expressions involving like terms and the distributive property

Lesson 3.5: Using expressions to represent relationships		1. Write the rule for an input/output table
Lesson 3.5: Using expressions to represent relationships
1. Write the rule for an input/output table

Lesson 3.6: More input-output relationships		1. Write variable equations 2. Write an equation from a scenario using a table
Lesson 3.6: More input-output relationships
1. Write variable equations 2. Write an equation from a scenario using a table

Lesson 3.7: Representing relationships with graphs		1. Evaluate a linear function from its graph: word problems Also consider: • Find values using function graphs
Lesson 3.7: Representing relationships with graphs
1. Evaluate a linear function from its graph: word problems Also consider: • Find values using function graphs

Lesson 3.8: Revisiting expressions		1. Evaluate variable expressions involving integers 2. Quadrants and axes
Lesson 3.8: Revisiting expressions
1. Evaluate variable expressions involving integers 2. Quadrants and axes

Lesson 3.9: Making graphs		1. Graph points from a table
Lesson 3.9: Making graphs
1. Graph points from a table

Lesson 3.10: Checking for understanding		1. Identify graphs: word problems
Lesson 3.10: Checking for understanding
1. Identify graphs: word problems

2	Unit 2 Introduction to functions and equations
Topic 4 - Representing mathematical relationships in multiple ways
Lesson 4.1: Introducing multiple representations Lesson 4.2: The Banquet Table Problem		1. Write an equation from a graph using a table 2. Complete a table and make a graph: word problems Also consider: • Compare and order rational numbers • Interpret circle graphs
Lesson 4.1: Introducing multiple representations Lesson 4.2: The Banquet Table Problem
1. Write an equation from a graph using a table 2. Complete a table and make a graph: word problems Also consider: • Compare and order rational numbers • Interpret circle graphs

Lesson 4.3: Equivalent representations and expressions		1. Identify equivalent linear expressions 2. Add and subtract fractions
Lesson 4.3: Equivalent representations and expressions
1. Identify equivalent linear expressions 2. Add and subtract fractions

Lesson 4.4: The Van Rental Problem		1. Evaluate linear equations: word problems
Lesson 4.4: The Van Rental Problem
1. Evaluate linear equations: word problems

Lesson 4.5: The Pond Border Problem		1. Identify equivalent linear expressions: word problems 2. Complete a table and make a graph Also consider: • Convert rates and measurements: customary units
Lesson 4.5: The Pond Border Problem
1. Identify equivalent linear expressions: word problems 2. Complete a table and make a graph Also consider: • Convert rates and measurements: customary units

Lesson 4.6: Making sense of multiple representations		1. Add and subtract fractions and mixed numbers: word problems
Lesson 4.6: Making sense of multiple representations
1. Add and subtract fractions and mixed numbers: word problems

Lesson 4.7: Extending the Banquet Table Problem		1. Write linear equations: word problems Also consider: • Interpret bar graphs
Lesson 4.7: Extending the Banquet Table Problem
1. Write linear equations: word problems Also consider: • Interpret bar graphs
Topic 5 - Problem solving and metacognition
Lesson 5.1: Thinking about thinking		1. Counting principle Also consider: • Understanding ratios
Lesson 5.1: Thinking about thinking
1. Counting principle Also consider: • Understanding ratios

Lesson 5.2: Checking for understanding
Lesson 5.2: Checking for understanding


Lesson 5.3: Metacognition and the E-Sports League Problem Lesson 5.4: E-Sports League Problem presentations		1. Identify equivalent ratios Also consider: • Write an equivalent ratio
Lesson 5.3: Metacognition and the E-Sports League Problem Lesson 5.4: E-Sports League Problem presentations
1. Identify equivalent ratios Also consider: • Write an equivalent ratio

Lesson 5.5: Solving a similar problem
Lesson 5.5: Solving a similar problem

Topic 6 - Working with functions and equations
Lesson 6.1: An introduction to functions		1. Identify functions: mapping diagrams
Lesson 6.1: An introduction to functions
1. Identify functions: mapping diagrams

Lesson 6.2: Mathematical functions		1. Identify functions: lists, tables, or discrete graphs 2. Identify functions: vertical line test Also consider: • Relations: convert between tables, graphs, mappings, and lists of points
Lesson 6.2: Mathematical functions
1. Identify functions: lists, tables, or discrete graphs 2. Identify functions: vertical line test Also consider: • Relations: convert between tables, graphs, mappings, and lists of points

Lesson 6.3: Independent and dependent variables		1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables
Lesson 6.3: Independent and dependent variables
1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables

Lesson 6.4: Equations and functions		1. Interpret functions using everyday language 2. Evaluate a function 3. Domain and range of linear functions: word problems Also consider: • Write formulas for arithmetic sequences: function notation • Domain and range of relations • Graph a horizontal or vertical line
Lesson 6.4: Equations and functions
1. Interpret functions using everyday language 2. Evaluate a function 3. Domain and range of linear functions: word problems Also consider: • Write formulas for arithmetic sequences: function notation • Domain and range of relations • Graph a horizontal or vertical line

Lesson 6.5: Sequences as functions		1. Evaluate recursive formulas for sequences: function notation 2. Write a formula for a recursive sequence: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert a recursive formula to an explicit formula: function notation • Convert an explicit formula to a recursive formula: function notation
Lesson 6.5: Sequences as functions
1. Evaluate recursive formulas for sequences: function notation 2. Write a formula for a recursive sequence: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert a recursive formula to an explicit formula: function notation • Convert an explicit formula to a recursive formula: function notation

Lesson 6.6: Functions and proportionality		1. Identify proportional relationships by graphing Also consider: • Identify proportional relationships
Lesson 6.6: Functions and proportionality
1. Identify proportional relationships by graphing Also consider: • Identify proportional relationships

Lesson 6.7: Checking for understanding Lesson 6.8: Using functions to solve problems		1. Evaluate and solve linear equations: word problems
Lesson 6.7: Checking for understanding Lesson 6.8: Using functions to solve problems
1. Evaluate and solve linear equations: word problems

Checkpoint opportunity		1. Checkpoint: Function concepts 2. Checkpoint: Sequences
Checkpoint opportunity
1. Checkpoint: Function concepts 2. Checkpoint: Sequences

3	Unit 3 Rate of change
Topic 7 - Exploring rate of change in motion problems
Lesson 7.1: Rates and motion Lesson 7.2: Match the graph Lesson 7.3: Motion with non-constant rates		1. Rate of change of a linear function: graphs
Lesson 7.1: Rates and motion Lesson 7.2: Match the graph Lesson 7.3: Motion with non-constant rates
1. Rate of change of a linear function: graphs

Lesson 7.4: Elevator graphs
Lesson 7.4: Elevator graphs


Lesson 7.5: What's my rate?		1. Rate of change: tables 2. Rate of change: graphs
Lesson 7.5: What's my rate?
1. Rate of change: tables 2. Rate of change: graphs

Lesson 7.6: More about rates of change Lesson 7.7: Rates in context
Lesson 7.6: More about rates of change Lesson 7.7: Rates in context


Lesson 7.8: Putting it all together
Lesson 7.8: Putting it all together

Topic 8 - Mindset, motivation, and algebraic thinking
Lesson 8.1: Your mindset and challenging problems
Lesson 8.1: Your mindset and challenging problems


Lesson 8.2: Rates and unit rates		1. Unit rates 2. Compare rates: word problems Also consider: • Rate of travel: word problems
Lesson 8.2: Rates and unit rates
1. Unit rates 2. Compare rates: word problems Also consider: • Rate of travel: word problems

Lesson 8.3: Motivation and goal setting		1. Unit prices Also consider: • Unit prices with unit conversions • Multi-step problems with unit conversions
Lesson 8.3: Motivation and goal setting
1. Unit prices Also consider: • Unit prices with unit conversions • Multi-step problems with unit conversions

Lesson 8.4: Rates and work
Lesson 8.4: Rates and work


Lesson 8.5: Solving and presenting a work rate problem		1. Distance, rate, and time word problems with two vehicles
Lesson 8.5: Solving and presenting a work rate problem
1. Distance, rate, and time word problems with two vehicles

Checkpoint opportunity		1. Checkpoint: Units and quantities
Checkpoint opportunity
1. Checkpoint: Units and quantities
Topic 9 - Exploring rate of change in other situations
Lesson 9.1: Constant rates of change		1. Calculate speed, distance, or time: word problems
Lesson 9.1: Constant rates of change
1. Calculate speed, distance, or time: word problems

Lesson 9.2: Proportional relationships		1. Find the constant of proportionality from tables and graphs 2. Identify proportional relationships from tables, graphs, and equations 3. Write equations for proportional relationships from tables and graphs
Lesson 9.2: Proportional relationships
1. Find the constant of proportionality from tables and graphs 2. Identify proportional relationships from tables, graphs, and equations 3. Write equations for proportional relationships from tables and graphs

Lesson 9.3: More on proportional relationships		1. Compare proportional relationships represented in different ways Also consider: • Write direct variation equations
Lesson 9.3: More on proportional relationships
1. Compare proportional relationships represented in different ways Also consider: • Write direct variation equations

Lesson 9.4: Rates that are not constant Lesson 9.5: Another function family Lesson 9.6: Working with nonlinear function families		1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables 3. Identify direct variation and inverse variation Also consider: • Write and solve direct variation equations • Write and solve inverse variation equations
Lesson 9.4: Rates that are not constant Lesson 9.5: Another function family Lesson 9.6: Working with nonlinear function families
1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables 3. Identify direct variation and inverse variation Also consider: • Write and solve direct variation equations • Write and solve inverse variation equations

Lesson 9.7: Checking for understanding		1. Write and solve equations for proportional relationships
Lesson 9.7: Checking for understanding
1. Write and solve equations for proportional relationships

4	Unit 4 Linear Functions
Topic 10 - Understanding slope and intercepts
Lesson 10.1: Connecting rate of change and slope		1. Find the slope from a graph 2. Interpret the slope and y-intercept of a linear function 3. Find the slope from two points Also consider: • Find a missing coordinate using slope
Lesson 10.1: Connecting rate of change and slope
1. Find the slope from a graph 2. Interpret the slope and y-intercept of a linear function 3. Find the slope from two points Also consider: • Find a missing coordinate using slope

Lesson 10.2: Connecting slope and rate of change through multiple representations		1. Slope-intercept form: find the slope and y-intercept 2. Slope-intercept form: write an equation from a table 3. Slope-intercept form: graphs and equations
Lesson 10.2: Connecting slope and rate of change through multiple representations
1. Slope-intercept form: find the slope and y-intercept 2. Slope-intercept form: write an equation from a table 3. Slope-intercept form: graphs and equations

Lesson 10.3: Absolute value functions		1. Graph an absolute value function 2. Domain and range of absolute value functions: graphs Also consider: • Complete a function table: absolute value functions • Domain and range of absolute value functions: equations
Lesson 10.3: Absolute value functions
1. Graph an absolute value function 2. Domain and range of absolute value functions: graphs Also consider: • Complete a function table: absolute value functions • Domain and range of absolute value functions: equations

Lesson 10.4: Intercepts and standard form		1. Standard form: find x- and y-intercepts 2. Standard form: graph a line from an equation Also consider: • Write linear equations in standard form • Compare linear functions: graphs and equations
Lesson 10.4: Intercepts and standard form
1. Standard form: find x- and y-intercepts 2. Standard form: graph a line from an equation Also consider: • Write linear equations in standard form • Compare linear functions: graphs and equations

Lesson 10.5: Point-slope form		1. Point-slope form: write an equation Also consider: • Point-slope form: graphs and equations
Lesson 10.5: Point-slope form
1. Point-slope form: write an equation Also consider: • Point-slope form: graphs and equations

Lesson 10.6: Bringing it all together		1. Compare linear functions: tables, graphs, and equations 2. Find the slope and intercepts from an equation • Coming soon: Compare linear functions: word problems
Lesson 10.6: Bringing it all together
1. Compare linear functions: tables, graphs, and equations 2. Find the slope and intercepts from an equation • Coming soon: Compare linear functions: word problems
Topic 11 - Parallel and perpendicular lines
Lesson 11.1: Checking for understanding		1. Slope-intercept form: write an equation
Lesson 11.1: Checking for understanding
1. Slope-intercept form: write an equation

Lesson 11.2: Special slope relationships Lesson 11.3: Equations of parallel and perpendicular lines		1. Slopes of parallel and perpendicular lines 2. Write an equation for a parallel or perpendicular line
Lesson 11.2: Special slope relationships Lesson 11.3: Equations of parallel and perpendicular lines
1. Slopes of parallel and perpendicular lines 2. Write an equation for a parallel or perpendicular line
Topic 12 - Creating linear models for data
Lesson 12.1: Scatterplots and trend lines		1. Interpret a scatter plot 2. Interpret lines of best fit: word problems 3. Identify lines of best fit Also consider: • Create scatter plots
Lesson 12.1: Scatterplots and trend lines
1. Interpret a scatter plot 2. Interpret lines of best fit: word problems 3. Identify lines of best fit Also consider: • Create scatter plots

Lesson 12.2: Finding equations for trend lines		1. Write equations for lines of best fit 2. Correlation and causation
Lesson 12.2: Finding equations for trend lines
1. Write equations for lines of best fit 2. Correlation and causation

Lesson 12.3: Transforming linear functions Lesson 12.4: Matching equations and graphs of lines Lesson 12.5: More on transforming linear functions		1. Transformations of linear functions 2. Describe linear transformations
Lesson 12.3: Transforming linear functions Lesson 12.4: Matching equations and graphs of lines Lesson 12.5: More on transforming linear functions
1. Transformations of linear functions 2. Describe linear transformations

Lesson 12.6: Modeling data with linear functions		1. Find the equation of a regression line 2. Interpret regression lines 3. Match correlation coefficients to scatter plots Also consider: • Calculate correlation coefficients
Lesson 12.6: Modeling data with linear functions
1. Find the equation of a regression line 2. Interpret regression lines 3. Match correlation coefficients to scatter plots Also consider: • Calculate correlation coefficients

Lesson 12.7: Checking for understanding		1. Analyze a regression line of a data set
Lesson 12.7: Checking for understanding
1. Analyze a regression line of a data set

Checkpoint opportunity		1. Checkpoint: Linear modeling
Checkpoint opportunity
1. Checkpoint: Linear modeling

5	Unit 5 Statistical modeling
Topic 13 - Analyzing univariate data
Lesson 13.1: Graphical displays of data		1. Create line plots, histograms, box plots, and stem-and-leaf plots 2. Interpret line plots, histograms, box plots, and stem-and-leaf plots Also consider: • Mean, median, mode, and range • Calculate quartiles and interquartile range
Lesson 13.1: Graphical displays of data
1. Create line plots, histograms, box plots, and stem-and-leaf plots 2. Interpret line plots, histograms, box plots, and stem-and-leaf plots Also consider: • Mean, median, mode, and range • Calculate quartiles and interquartile range

Lesson 13.2: Measures of center		1. Identify an outlier 2. Identify an outlier and describe the effect of removing it
Lesson 13.2: Measures of center
1. Identify an outlier 2. Identify an outlier and describe the effect of removing it

Lesson 13.3: Measures of spread – Mean absolute deviation		1. Mean absolute deviation
Lesson 13.3: Measures of spread – Mean absolute deviation
1. Mean absolute deviation

Lesson 13.4: Other measures of spread – Standard deviation		1. Variance and standard deviation 2. Choose appropriate measures of center and variation
Lesson 13.4: Other measures of spread – Standard deviation
1. Variance and standard deviation 2. Choose appropriate measures of center and variation
Topic 14 - Comparing distributions
Lesson 14.1: Comparing centers
Lesson 14.1: Comparing centers


Lesson 14.2: Comparing spreads
Lesson 14.2: Comparing spreads


Lesson 14.3: Comparing distributions
Lesson 14.3: Comparing distributions


Checkpoint opportunity		1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets
Checkpoint opportunity
1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets
Topic 15 - Analyzing bivariate data
Lesson 15.1: Creating frequency tables
Lesson 15.1: Creating frequency tables


Lesson 15.2: Analyzing two-way tables		1. Find probabilities using two-way frequency tables
Lesson 15.2: Analyzing two-way tables
1. Find probabilities using two-way frequency tables

Lesson 15.3: Interferences with bivariate categorical data		1. Find conditional probabilities using two-way frequency tables
Lesson 15.3: Interferences with bivariate categorical data
1. Find conditional probabilities using two-way frequency tables

Lesson 15.4: Exploring residuals
Lesson 15.4: Exploring residuals


Lesson 15.5: Checking for understanding
Lesson 15.5: Checking for understanding


Checkpoint opportunity		1. Checkpoint: Two-way frequency tables
Checkpoint opportunity
1. Checkpoint: Two-way frequency tables

6	Unit 6 Linear equations and inequalities
Topic 16 - Solving linear equations
Lesson 16.1: The connection between linear functions and linear equations		1. Write a linear function: word problems 2. Graph a linear function 3. Relate the graph of a linear equation to its solutions
Lesson 16.1: The connection between linear functions and linear equations
1. Write a linear function: word problems 2. Graph a linear function 3. Relate the graph of a linear equation to its solutions

Lesson 16.2: Solving equations with tables
Lesson 16.2: Solving equations with tables


Lesson 16.3: Solving equations with graphs
Lesson 16.3: Solving equations with graphs


Lesson 16.4: Solving one-step equations		1. Model and solve one-step equations using algebra tiles 2. Solve one-step linear equations 3. Solve one-step linear equations: word problems Also consider: • Properties of equality
Lesson 16.4: Solving one-step equations
1. Model and solve one-step equations using algebra tiles 2. Solve one-step linear equations 3. Solve one-step linear equations: word problems Also consider: • Properties of equality

Lesson 16.5: Solving two-step equations		1. Model and solve two-step equations using algebra tiles 2. Solve two-step linear equations 3. Solve two-step equations: word problems Also consider: • Write and solve linear equations that represent diagrams
Lesson 16.5: Solving two-step equations
1. Model and solve two-step equations using algebra tiles 2. Solve two-step linear equations 3. Solve two-step equations: word problems Also consider: • Write and solve linear equations that represent diagrams

Lesson 16.6: Solving multi-step equations		1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides Also consider: • Solve linear equations with variables on both sides: word problems
Lesson 16.6: Solving multi-step equations
1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides Also consider: • Solve linear equations with variables on both sides: word problems

Lesson 16.7: Solving absolute value equations		1. Solve absolute value equations Also consider: • Graph solutions to absolute value equations
Lesson 16.7: Solving absolute value equations
1. Solve absolute value equations Also consider: • Graph solutions to absolute value equations

Lesson 16.8: How many solutions?		1. Find the number of solutions to a linear equation Also consider: • Create linear equations with no solutions or infinitely many solutions
Lesson 16.8: How many solutions?
1. Find the number of solutions to a linear equation Also consider: • Create linear equations with no solutions or infinitely many solutions

Lesson 16.9: Rearranging formulas		1. Rearrange multi-variable equations
Lesson 16.9: Rearranging formulas
1. Rearrange multi-variable equations
Topic 17 - Problems solving with slope triangles
Lesson 17.1: Checking for understanding Lesson 17.2: Slope triangles and linear equations Lesson 17.3: Communicating while problem solving		1. Slope-intercept form: graph an equation 2. Slope-intercept form: write an equation from a graph
Lesson 17.1: Checking for understanding Lesson 17.2: Slope triangles and linear equations Lesson 17.3: Communicating while problem solving
1. Slope-intercept form: graph an equation 2. Slope-intercept form: write an equation from a graph
Topic 18 - Solving linear inequalities
Lesson 18.1: Inequalities on the number line		1. Graph inequalities 2. Write inequalities from graphs 3. Identify solutions to inequalities Also consider: • Graph compound inequalities
Lesson 18.1: Inequalities on the number line
1. Graph inequalities 2. Write inequalities from graphs 3. Identify solutions to inequalities Also consider: • Graph compound inequalities

Lesson 18.2: Introduction to solving linear inequalities		1. Graph solutions to one-step linear inequalities 2. Graph solutions to two-step linear inequalities Also consider: • Solve one-step linear inequalities • Solve two-step linear inequalities
Lesson 18.2: Introduction to solving linear inequalities
1. Graph solutions to one-step linear inequalities 2. Graph solutions to two-step linear inequalities Also consider: • Solve one-step linear inequalities • Solve two-step linear inequalities

Lesson 18.3: Solving inequalities with algebraic operations		1. Graph solutions to advanced linear inequalities Also consider: • Solve advanced linear inequalities • Graph solutions to compound inequalities • Write compound inequalities from graphs
Lesson 18.3: Solving inequalities with algebraic operations
1. Graph solutions to advanced linear inequalities Also consider: • Solve advanced linear inequalities • Graph solutions to compound inequalities • Write compound inequalities from graphs

Lesson 18.4 Solving absolute value inequalities		1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Lesson 18.4 Solving absolute value inequalities
1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities

Lesson 18.5: Inequalities in the plane		1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph Also consider: • Linear inequalities: solve for y
Lesson 18.5: Inequalities in the plane
1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write a linear inequality from a graph Also consider: • Linear inequalities: solve for y

Lesson 18.6: Compound inequalitities in the plane
Lesson 18.6: Compound inequalitities in the plane


Lesson 18.7: Checking for understanding		1. Write two-variable inequalities: word problems
Lesson 18.7: Checking for understanding
1. Write two-variable inequalities: word problems

7	Unit 7 Systems of linear equations and inequalities
Topic 19 - Formulating and solving systems
Lesson 19.1: Introducing systems of linear equations		1. Is (x, y) a solution to the system of equations?
Lesson 19.1: Introducing systems of linear equations
1. Is (x, y) a solution to the system of equations?

Lesson 19.2: Solving systems of linear equations using number sense Lesson 19.3: Modeling with systems of linear equations
Lesson 19.2: Solving systems of linear equations using number sense Lesson 19.3: Modeling with systems of linear equations


Lesson 19.4: Solving systems of equations with tables Lesson 19.5: Solving other systems of equations with tables
Lesson 19.4: Solving systems of equations with tables Lesson 19.5: Solving other systems of equations with tables


Lesson 19.6: Using graphs to solve systems of equations		1. Solve a system of equations by graphing
Lesson 19.6: Using graphs to solve systems of equations
1. Solve a system of equations by graphing

Lesson 19.7: Using graphs to solve systems of equations, continued		1. Solve a system of equations by graphing: word problems 2. Write a system of equations given a graph
Lesson 19.7: Using graphs to solve systems of equations, continued
1. Solve a system of equations by graphing: word problems 2. Write a system of equations given a graph

Lesson 19.8: Systems of inequalities		1. Solve systems of linear inequalities by graphing Also consider: • Is (x, y) a solution to the system of linear inequalities?
Lesson 19.8: Systems of inequalities
1. Solve systems of linear inequalities by graphing Also consider: • Is (x, y) a solution to the system of linear inequalities?

Lesson 19.9: Modeling with systems of inequalities
Lesson 19.9: Modeling with systems of inequalities

Topic 20 - Building fluency with equation solving
Lesson 20.1: Checking for understanding		1. Solve linear equations: mixed review
Lesson 20.1: Checking for understanding
1. Solve linear equations: mixed review

Lesson 20.2: Problem solving and mindset
Lesson 20.2: Problem solving and mindset


Lesson 20.3: Fluency with multi-step equations		1. Solve linear equations: complete the solution
Lesson 20.3: Fluency with multi-step equations
1. Solve linear equations: complete the solution

Checkpoint opportunity		1. Checkpoint: Solve linear equations and inequalities
Checkpoint opportunity
1. Checkpoint: Solve linear equations and inequalities
Topic 21 - Other methods for solving systems
Lesson 21.1: The substitution method Lesson 21.2: More on the substitution method		1. Solve a system of equations using substitution
Lesson 21.1: The substitution method Lesson 21.2: More on the substitution method
1. Solve a system of equations using substitution

Lesson 21.3: Applying the substitution method		1. Solve a system of equations using substitution: word problems
Lesson 21.3: Applying the substitution method
1. Solve a system of equations using substitution: word problems

Lesson 21.4: The linear combination method		1. Solve a system of equations using elimination Also consider: • Solve a system of equations by adding or subtracting
Lesson 21.4: The linear combination method
1. Solve a system of equations using elimination Also consider: • Solve a system of equations by adding or subtracting

Lesson 21.5: The linear combination method continued		1. Solve a system of equations using elimination: word problems
Lesson 21.5: The linear combination method continued
1. Solve a system of equations using elimination: word problems

Lesson 21.6: Connecting algebra and geometry of systems of equations		1. Find the number of solutions to a system of equations Also consider: • Find the number of solutions to a system of equations by graphing
Lesson 21.6: Connecting algebra and geometry of systems of equations
1. Find the number of solutions to a system of equations Also consider: • Find the number of solutions to a system of equations by graphing

Lesson 21.7: Choosing a linear system solution method		1. Solve a system of equations using any method Also consider: • Classify a system of equations by graphing
Lesson 21.7: Choosing a linear system solution method
1. Solve a system of equations using any method Also consider: • Classify a system of equations by graphing

Lesson 21.8: Assessing understanding		1. Solve a system of equations using any method: word problems Also consider: • Classify a system of equations
Lesson 21.8: Assessing understanding
1. Solve a system of equations using any method: word problems Also consider: • Classify a system of equations

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

8	Unit 8 Quadratic functions and equations
Topic 22 - Quadratic models and equations
Lesson 22.1: Quadratic patterns Lesson 22.2: More quadratic patterns		1. Quadratic patterns Also consider: • Identify linear, quadratic, and exponential functions from graphs and tables
Lesson 22.1: Quadratic patterns Lesson 22.2: More quadratic patterns
1. Quadratic patterns Also consider: • Identify linear, quadratic, and exponential functions from graphs and tables

Lesson 22.3: Linear or nonlinear?		1. Introduction to graphing quadratic functions
Lesson 22.3: Linear or nonlinear?
1. Introduction to graphing quadratic functions

Lesson 22.4: More about quadratic functions
Lesson 22.4: More about quadratic functions


Lesson 22.5: Quadratic forms		1. Characteristics of quadratic functions: graphs 2. Graph quadratic functions in vertex form 3. Write a quadratic function in vertex form from its vertex and another point Also consider: • Domain and range of quadratic functions: graphs
Lesson 22.5: Quadratic forms
1. Characteristics of quadratic functions: graphs 2. Graph quadratic functions in vertex form 3. Write a quadratic function in vertex form from its vertex and another point Also consider: • Domain and range of quadratic functions: graphs

Lesson 22.6: Investigating quadratic transformations		1. Transformations of quadratic functions
Lesson 22.6: Investigating quadratic transformations
1. Transformations of quadratic functions

Lesson 22.7: Solving by graphing
Lesson 22.7: Solving by graphing


Lesson 22.8: The geometry and algebra of square roots		1. Solve a quadratic equation using square roots 2. Square roots 3. Properties of operations on rational and irrational numbers Also consider: • Pythagorean theorem • Classify rational and irrational numbers
Lesson 22.8: The geometry and algebra of square roots
1. Solve a quadratic equation using square roots 2. Square roots 3. Properties of operations on rational and irrational numbers Also consider: • Pythagorean theorem • Classify rational and irrational numbers

Lesson 22.9: Simplifying square root expressions		1. Simplify radical expressions 2. Multiply radical expressions 3. Add and subtract radical expressions Also consider: • Simplify radical expressions involving fractions • Simplify radical expressions using the distributive property • Simplify radical expressions using conjugates
Lesson 22.9: Simplifying square root expressions
1. Simplify radical expressions 2. Multiply radical expressions 3. Add and subtract radical expressions Also consider: • Simplify radical expressions involving fractions • Simplify radical expressions using the distributive property • Simplify radical expressions using conjugates

Lesson 22.10: Using the quadratic formula		1. Solve a quadratic equation using the quadratic formula
Lesson 22.10: Using the quadratic formula
1. Solve a quadratic equation using the quadratic formula

Lesson 22.11: How many solutions?		1. Using the discriminant
Lesson 22.11: How many solutions?
1. Using the discriminant

Checkpoint opportunity		1. Checkpoint: Average rate of change
Checkpoint opportunity
1. Checkpoint: Average rate of change
Topic 23 - Operations on polynomials
Lesson 23.1: Introduction to polynomials		1. Polynomial vocabulary
Lesson 23.1: Introduction to polynomials
1. Polynomial vocabulary

Lesson 23.2: Checking for understanding		1. Model polynomials with algebra tiles
Lesson 23.2: Checking for understanding
1. Model polynomials with algebra tiles

Lesson 23.3: Polynomial products Lesson 23.4: Making connections		1. Multiply two binomials using algebra tiles 2. Multiply two binomials 3. Multiply polynomials using area models 4. Multiply polynomials Also consider: • Multiply a polynomial by a monomial • Multiply two binomials: special cases • Multiply polynomials to find area
Lesson 23.3: Polynomial products Lesson 23.4: Making connections
1. Multiply two binomials using algebra tiles 2. Multiply two binomials 3. Multiply polynomials using area models 4. Multiply polynomials Also consider: • Multiply a polynomial by a monomial • Multiply two binomials: special cases • Multiply polynomials to find area

Lesson 23.5: Dividing polynomials		1. Divide polynomials by monomials 2. Divide polynomials using long division
Lesson 23.5: Dividing polynomials
1. Divide polynomials by monomials 2. Divide polynomials using long division

Lesson 23.6: Adding and subtracting polynomials		1. Add and subtract polynomials using algebra tiles 2. Add and subtract polynomials Also consider: • Add polynomials to find perimeter
Lesson 23.6: Adding and subtracting polynomials
1. Add and subtract polynomials using algebra tiles 2. Add and subtract polynomials Also consider: • Add polynomials to find perimeter

Checkpoint opportunity		1. Checkpoint: Polynomial operations
Checkpoint opportunity
1. Checkpoint: Polynomial operations
Topic 24 - Factoring and quadratic equations
Lesson 24.1: Rectangles and factors		1. Factor quadratics with leading coefficient 1
Lesson 24.1: Rectangles and factors
1. Factor quadratics with leading coefficient 1

Lesson 24.2: Reversing area models to factor		1. Factor quadratics: special cases Also consider: • Factor out a monomial
Lesson 24.2: Reversing area models to factor
1. Factor quadratics: special cases Also consider: • Factor out a monomial

Lesson 24.3: Solving quadratic equations by completing the square		1. Solve a quadratic equation by completing the square: leading coefficient 1 Also consider: • Complete the square
Lesson 24.3: Solving quadratic equations by completing the square
1. Solve a quadratic equation by completing the square: leading coefficient 1 Also consider: • Complete the square

Lesson 24.4: More about completing the square		1. Write a quadratic function in vertex form Also consider: • Characteristics of quadratic functions: equations • Solve a quadratic equation by completing the square: other leading coefficients
Lesson 24.4: More about completing the square
1. Write a quadratic function in vertex form Also consider: • Characteristics of quadratic functions: equations • Solve a quadratic equation by completing the square: other leading coefficients

Lesson 24.5: Solving x² + bx + c = 0 by factoring		1. Solve a quadratic equation using the zero product property 2. Solve quadratic equations by factoring: leading coefficient 1
Lesson 24.5: Solving x² + bx + c = 0 by factoring
1. Solve a quadratic equation using the zero product property 2. Solve quadratic equations by factoring: leading coefficient 1

Lesson 24.6: More about solving by factoring		1. Factor quadratics using algebra tiles 2. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor polynomials • Factor using a quadratic pattern • Interpret parts of quadratic expressions: word problems
Lesson 24.6: More about solving by factoring
1. Factor quadratics using algebra tiles 2. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor polynomials • Factor using a quadratic pattern • Interpret parts of quadratic expressions: word problems

Lesson 24.7: Connecting solution methods		1. Solve quadratic equations: word problems Also consider: • Solve a quadratic equation by factoring • Solve a quadratic equation by completing the square
Lesson 24.7: Connecting solution methods
1. Solve quadratic equations: word problems Also consider: • Solve a quadratic equation by factoring • Solve a quadratic equation by completing the square

Lesson 24.8: Connecting functions to graphs		1. Write a quadratic function from its zeros Also consider: • Graph quadratic functions in standard form
Lesson 24.8: Connecting functions to graphs
1. Write a quadratic function from its zeros Also consider: • Graph quadratic functions in standard form

Lesson 24.9: Checking for understanding
Lesson 24.9: Checking for understanding


Checkpoint opportunity		1. Checkpoint: Quadratic equations
Checkpoint opportunity
1. Checkpoint: Quadratic equations

9	Unit 9 Other nonlinear relationships
Topic 25 - Exponents and exponential models
Lesson 25.1: Models for exponents		1. Population doubling: word problems
Lesson 25.1: Models for exponents
1. Population doubling: word problems

Lesson 25.2: Multiplication and division rules for exponents		1. Evaluate expressions with positive exponents using properties 2. Multiplication and division with positive exponents
Lesson 25.2: Multiplication and division rules for exponents
1. Evaluate expressions with positive exponents using properties 2. Multiplication and division with positive exponents

Lesson 25.3: Other rules for exponents		1. Negative exponents 2. Power rule for exponents 3. Identify equivalent exponential expressions I Also consider: • Powers with decimal and fractional bases • Identify equivalent exponential expressions II
Lesson 25.3: Other rules for exponents
1. Negative exponents 2. Power rule for exponents 3. Identify equivalent exponential expressions I Also consider: • Powers with decimal and fractional bases • Identify equivalent exponential expressions II

Lesson 25.4: Rational exponents		1. Convert between rational exponents and radicals 2. Evaluate whole numbers raised to rational exponents Also consider: • Simplify expressions involving rational exponents • Division with rational exponents • Power rule with rational exponents
Lesson 25.4: Rational exponents
1. Convert between rational exponents and radicals 2. Evaluate whole numbers raised to rational exponents Also consider: • Simplify expressions involving rational exponents • Division with rational exponents • Power rule with rational exponents

Lesson 25.5: Comparing linear and exponential growth		1. Compare linear and exponential growth 2. Identify linear and exponential functions from graphs and tables 3. Graph increasing exponential functions Also consider: • Describe linear and exponential growth and decay
Lesson 25.5: Comparing linear and exponential growth
1. Compare linear and exponential growth 2. Identify linear and exponential functions from graphs and tables 3. Graph increasing exponential functions Also consider: • Describe linear and exponential growth and decay

Lesson 25.6: Exponential decay		1. Graph decreasing exponential functions 2. Half-life: word problems
Lesson 25.6: Exponential decay
1. Graph decreasing exponential functions 2. Half-life: word problems

Checkpoint opportunity		1. Checkpoint: Radicals and rational exponents
Checkpoint opportunity
1. Checkpoint: Radicals and rational exponents
Topic 26 - Problems solving with exponential functions
Lesson 26.1: Finding function rules from graphs Lesson 26.2: Checking for understanding		1. Write exponential functions from tables and graphs 2. Domain and range of exponential functions Also consider: • Write exponential functions: word problems • Write formulas for geometric sequences: function notation
Lesson 26.1: Finding function rules from graphs Lesson 26.2: Checking for understanding
1. Write exponential functions from tables and graphs 2. Domain and range of exponential functions Also consider: • Write exponential functions: word problems • Write formulas for geometric sequences: function notation

Lesson 26.3: Transforming exponential functions		1. Identify linear and exponential functions from tables Also consider: • Write linear and exponential functions from tables • Write linear and exponential functions: word problems
Lesson 26.3: Transforming exponential functions
1. Identify linear and exponential functions from tables Also consider: • Write linear and exponential functions from tables • Write linear and exponential functions: word problems

Lesson 26.4: Behavior of exponential functions		1. Graph exponential functions 2. Exponential growth and decay: word problems Also consider: • Match exponential functions and graphs I
Lesson 26.4: Behavior of exponential functions
1. Graph exponential functions 2. Exponential growth and decay: word problems Also consider: • Match exponential functions and graphs I

Lesson 26.5: Simple and compound interest		1. Simple interest 2. Compound interest: word problems
Lesson 26.5: Simple and compound interest
1. Simple interest 2. Compound interest: word problems
Topic 27 - Cubic, square root, and step functions
Lesson 27.1: Square root functions and transformations		1. Graph square root functions 2. Domain and range of square root functions: equations 3. Function transformation rules Also consider: • Evaluate square root functions • Domain and range of square root functions: graphs
Lesson 27.1: Square root functions and transformations
1. Graph square root functions 2. Domain and range of square root functions: equations 3. Function transformation rules Also consider: • Evaluate square root functions • Domain and range of square root functions: graphs

Lesson 27.2: Cubic functions		1. Match cubic functions and graphs
Lesson 27.2: Cubic functions
1. Match cubic functions and graphs

Lesson 27.3: Cube root functions and transformations		1. Graph cube root functions Also consider: • Cube roots
Lesson 27.3: Cube root functions and transformations
1. Graph cube root functions Also consider: • Cube roots

Lesson 27.4: Comparing square root and cube root functions
Lesson 27.4: Comparing square root and cube root functions


Lesson 27.5: Step functions
Lesson 27.5: Step functions


Lesson 27.6: Checking for understanding
Lesson 27.6: Checking for understanding


Checkpoint opportunity		1. Checkpoint: Compare linear and exponential functions 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Solve equations using graphs and tables 4. Checkpoint: Quadratic and exponential expressions 5. Checkpoint: Function transformations 6. Checkpoint: Analyze, interpret, and compare functions 7. Checkpoint: Graph and analyze functions 8. Checkpoint: Build functions
Checkpoint opportunity
1. Checkpoint: Compare linear and exponential functions 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Solve equations using graphs and tables 4. Checkpoint: Quadratic and exponential expressions 5. Checkpoint: Function transformations 6. Checkpoint: Analyze, interpret, and compare functions 7. Checkpoint: Graph and analyze functions 8. Checkpoint: Build functions

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