IXL skill plan | 7th grade accelerated plan for Amplify Math

Skill plan for Amplify Math - 7th grade accelerated

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

Unit

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1	Unit 7A.1 Rigid Transformations and Congruence
Launch
Lesson 1: Tessellations
Lesson 1: Tessellations

Sub-Unit 1 - Rigid Transformations
Lesson 2: Moving on the Plane
Lesson 2: Moving on the Plane


Lesson 3: Symmetry and Reflection		1. Line symmetry
Lesson 3: Symmetry and Reflection
1. Line symmetry

Lesson 4: Grid Moves		1. Identify reflections, rotations, and translations 2. Describe transformations
Lesson 4: Grid Moves
1. Identify reflections, rotations, and translations 2. Describe transformations

Lesson 5: Coordinate Moves		1. Translations: graph the image 2. Translations: find the coordinates 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates
Lesson 5: Coordinate Moves
1. Translations: graph the image 2. Translations: find the coordinates 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates

Lesson 6: Describing Transformations		1. Translations: write the rule 2. Reflections and rotations: write the rule
Lesson 6: Describing Transformations
1. Translations: write the rule 2. Reflections and rotations: write the rule

Lesson 7: What Is the Same?		1. Identify congruent figures Also consider: • Congruence statements and corresponding parts
Lesson 7: What Is the Same?
1. Identify congruent figures Also consider: • Congruence statements and corresponding parts

Lesson 8: Congruent Polygons		1. Determine if two figures are congruent: justify your answer 2. Sequences of congruence transformations: graph the image Also consider: • Side lengths and angle measures of congruent figures
Lesson 8: Congruent Polygons
1. Determine if two figures are congruent: justify your answer 2. Sequences of congruence transformations: graph the image Also consider: • Side lengths and angle measures of congruent figures
Sub-Unit 2 - Angles in a Triangle
Lesson 9: Supplementary and Complementary Angles		1. Identify complementary, supplementary, and adjacent angles 2. Find measures of complementary, supplementary, and adjacent angles Also consider: • Measure angles with a protractor
Lesson 9: Supplementary and Complementary Angles
1. Identify complementary, supplementary, and adjacent angles 2. Find measures of complementary, supplementary, and adjacent angles Also consider: • Measure angles with a protractor

Lesson 10: Line Moves
Lesson 10: Line Moves


Lesson 11: Rotation Patterns		1. Identify vertical angles 2. Find measures of angles: multi-step problems
Lesson 11: Rotation Patterns
1. Identify vertical angles 2. Find measures of angles: multi-step problems

Lesson 12: Alternate Interior Angles		1. Identify corresponding angles and alternate interior angles 2. Transversals of parallel lines: find angle measures
Lesson 12: Alternate Interior Angles
1. Identify corresponding angles and alternate interior angles 2. Transversals of parallel lines: find angle measures

Lesson 13: Adding the Angles in a Triangle		1. Find missing angles in triangles
Lesson 13: Adding the Angles in a Triangle
1. Find missing angles in triangles

Lesson 14: Parallel Lines and the Angles in a Triangle		1. Transversals of parallel lines: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x Also consider: • Triangle Angle-Sum Theorem • Exterior Angle Theorem
Lesson 14: Parallel Lines and the Angles in a Triangle
1. Transversals of parallel lines: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x Also consider: • Triangle Angle-Sum Theorem • Exterior Angle Theorem
Capstone
Lesson 15: Creating a Border Pattern Using Transformations
Lesson 15: Creating a Border Pattern Using Transformations

2	Unit 7A.2 Dilations, Similarity, and Slope
Launch
Lesson 1: Projecting and Scaling		1. Scale drawings: find the scale factor or a missing side Also consider: • Identify equivalent ratios • Do the ratios form a proportion?
Lesson 1: Projecting and Scaling
1. Scale drawings: find the scale factor or a missing side Also consider: • Identify equivalent ratios • Do the ratios form a proportion?
Sub-Unit 1 - Dilations
Lesson 2: Circular Grid
Lesson 2: Circular Grid


Lesson 3: Dilations on a Plane
Lesson 3: Dilations on a Plane


Lesson 4: Dilations With Coordinates		1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor
Lesson 4: Dilations With Coordinates
1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor
Sub-Unit 2 - Similarity
Lesson 5: Similarity		1. Determine if two figures are similar: justify your answer
Lesson 5: Similarity
1. Determine if two figures are similar: justify your answer

Lesson 6: Similar Polygons		1. Identify similar quadrilaterals Also consider: • Similar and congruent figures
Lesson 6: Similar Polygons
1. Identify similar quadrilaterals Also consider: • Similar and congruent figures

Lesson 7: Similar Triangles		1. Identify similar triangles 2. Angle-angle criterion for similar triangles 3. Similarity statements
Lesson 7: Similar Triangles
1. Identify similar triangles 2. Angle-angle criterion for similar triangles 3. Similarity statements

Lesson 8: Ratios of Side Lengths in Similar Triangles		1. Side lengths of similar triangles
Lesson 8: Ratios of Side Lengths in Similar Triangles
1. Side lengths of similar triangles

Lesson 9: The Shadow Knows		1. Similar triangles and indirect measurement Also consider: • Find missing side lengths in proportional triangles
Lesson 9: The Shadow Knows
1. Similar triangles and indirect measurement Also consider: • Find missing side lengths in proportional triangles

Lesson 10: Meet Slope
Lesson 10: Meet Slope

Capstone
Lesson 11: Optical Illusions
Lesson 11: Optical Illusions

3	Unit 7A.3 Writing and Solving Equations and Inequalities
Launch
Lesson 1: Keeping the Balance		1. Properties of addition and multiplication 2. Identify equivalent equations
Lesson 1: Keeping the Balance
1. Properties of addition and multiplication 2. Identify equivalent equations
Sub-Unit 1 - Solving Two-Step Equations
Lesson 2: Reasoning about Solving Equations		1. Solve equations with positive numbers using algebra tiles 2. Solve equations with positive numbers
Lesson 2: Reasoning about Solving Equations
1. Solve equations with positive numbers using algebra tiles 2. Solve equations with positive numbers

Lesson 3: Dealing With Negative Numbers		1. Solve equations with negative numbers 2. Solve equations with negative numbers: with parentheses Also consider: • Solve two-step equations: complete the solution
Lesson 3: Dealing With Negative Numbers
1. Solve equations with negative numbers 2. Solve equations with negative numbers: with parentheses Also consider: • Solve two-step equations: complete the solution

Lesson 4: Two Ways to Solve One Equation		1. Solve two-step equations with parentheses
Lesson 4: Two Ways to Solve One Equation
1. Solve two-step equations with parentheses

Lesson 5: Practice Solving Equations		1. Solve two-step equations
Lesson 5: Practice Solving Equations
1. Solve two-step equations
Sub-Unit 2 - Solving Real-World Problems Using Two-Step Equations
Lesson 6: Reasoning With Tape Diagrams
Lesson 6: Reasoning With Tape Diagrams


Lesson 7: Reasoning about Equations and Tape Diagrams (Part 1)		1. Model equations using length diagrams 2. Write and solve two-step equations that represent diagrams
Lesson 7: Reasoning about Equations and Tape Diagrams (Part 1)
1. Model equations using length diagrams 2. Write and solve two-step equations that represent diagrams

Lesson 8: Reasoning about Equations and Tape Diagrams (Part 2)
Lesson 8: Reasoning about Equations and Tape Diagrams (Part 2)


Lesson 9: Using Equations to Solve Problems		1. Choose two-step equations: word problems 2. Solve two-step equations: word problems
Lesson 9: Using Equations to Solve Problems
1. Choose two-step equations: word problems 2. Solve two-step equations: word problems

Lesson 10: Using Equations to Solve for Unknown Angles		1. Write and solve equations using angle relationships
Lesson 10: Using Equations to Solve for Unknown Angles
1. Write and solve equations using angle relationships
Sub-Unit 3 - Inequalities
Lesson 11: Reintroducing Inequalities		1. Solutions to inequalities 2. Graph inequalities on number lines 3. Write inequalities from number lines Also consider: • Write and graph inequalities: word problems
Lesson 11: Reintroducing Inequalities
1. Solutions to inequalities 2. Graph inequalities on number lines 3. Write inequalities from number lines Also consider: • Write and graph inequalities: word problems

Lesson 12: Solving Inequalities		1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems
Lesson 12: Solving Inequalities
1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems

Lesson 13: Efficiently Solving Inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 13: Efficiently Solving Inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Lesson 14: Modeling With Inequalities
Lesson 14: Modeling With Inequalities

Sub-Unit 4 - Equivalent Expressions
Lesson 15: Subtraction in Equivalent Expressions		1. Multiply using the distributive property: area models
Lesson 15: Subtraction in Equivalent Expressions
1. Multiply using the distributive property: area models

Lesson 16: Expanding and Factoring		1. Multiply using the distributive property 2. Factor linear expressions: area models Also consider: • Factors of linear expressions
Lesson 16: Expanding and Factoring
1. Multiply using the distributive property 2. Factor linear expressions: area models Also consider: • Factors of linear expressions

Lesson 17: Combining Like Terms (Part 1)		1. Properties of addition and multiplication 2. Write equivalent expressions using properties 3. Simplify expressions by combining like terms Also consider: • Evaluate linear expressions • Simplify expressions by combining like terms: with algebra tiles
Lesson 17: Combining Like Terms (Part 1)
1. Properties of addition and multiplication 2. Write equivalent expressions using properties 3. Simplify expressions by combining like terms Also consider: • Evaluate linear expressions • Simplify expressions by combining like terms: with algebra tiles

Lesson 18: Combining Like Terms (Part 2)		1. Add and subtract linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II Also consider: • Identify equivalent linear expressions using algebra tiles
Lesson 18: Combining Like Terms (Part 2)
1. Add and subtract linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II Also consider: • Identify equivalent linear expressions using algebra tiles

Lesson 19: Writing Expressions and Equations		1. Identify equivalent linear expressions: word problems 2. Solve equations involving like terms
Lesson 19: Writing Expressions and Equations
1. Identify equivalent linear expressions: word problems 2. Solve equations involving like terms
Sub-Unit 5 - Equations in One Variable
Lesson 20: Balanced Moves (Part 1)		1. Solve equations with variables on both sides: complete the solution I 2. Solve equations with variables on both sides: complete the solution II
Lesson 20: Balanced Moves (Part 1)
1. Solve equations with variables on both sides: complete the solution I 2. Solve equations with variables on both sides: complete the solution II

Lesson 21: Balanced Moves (Part 2)		1. Solve equations with variables on both sides: fractional coefficients Also consider: • Which x satisfies an equation?
Lesson 21: Balanced Moves (Part 2)
1. Solve equations with variables on both sides: fractional coefficients Also consider: • Which x satisfies an equation?

Lesson 22: Solving Equations With Variables on Both Sides		1. Solve equations with variables on both sides 2. Solve equations using the distributive property 3. Solve multi-step equations: complete the solution
Lesson 22: Solving Equations With Variables on Both Sides
1. Solve equations with variables on both sides 2. Solve equations using the distributive property 3. Solve multi-step equations: complete the solution

Lesson 23: How Many Solutions? (Part 1)		1. Find the number of solutions
Lesson 23: How Many Solutions? (Part 1)
1. Find the number of solutions

Lesson 24: How Many Solutions? (Part 2)		1. Create equations with no solutions or infinitely many solutions
Lesson 24: How Many Solutions? (Part 2)
1. Create equations with no solutions or infinitely many solutions
Capstone
Lesson 25: Strategic Solving		1. Solve multi-step equations 2. Solve multi-step equations with fractional coefficients 3. Solve equations: mixed review
Lesson 25: Strategic Solving
1. Solve multi-step equations 2. Solve multi-step equations with fractional coefficients 3. Solve equations: mixed review

4	Unit 7A.4 Functions and Linear Functions
Launch
Lesson 1: Pick a Pitch
Lesson 1: Pick a Pitch

Sub-Unit 1 - Representing and Interpreting Functions
Lesson 2: Introduction to Functions		1. Identify functions: tables Also consider: • Input/output tables: find the rule
Lesson 2: Introduction to Functions
1. Identify functions: tables Also consider: • Input/output tables: find the rule

Lesson 3: Equations for Functions		1. Identify independent and dependent variables 2. Evaluate a linear function: word problems Also consider: • Evaluate a linear function • Complete a table for a linear function
Lesson 3: Equations for Functions
1. Identify independent and dependent variables 2. Evaluate a linear function: word problems Also consider: • Evaluate a linear function • Complete a table for a linear function

Lesson 4: Graphs of Functions (Part 1)		1. Identify functions 2. Identify functions: graphs 3. Find values using function graphs Also consider: • Complete a table for a function graph • Complete a table and graph a linear function
Lesson 4: Graphs of Functions (Part 1)
1. Identify functions 2. Identify functions: graphs 3. Find values using function graphs Also consider: • Complete a table for a function graph • Complete a table and graph a linear function

Lesson 5: Graphs of Functions (Part 2)		1. Interpret points on the graph of a linear function
Lesson 5: Graphs of Functions (Part 2)
1. Interpret points on the graph of a linear function

Lesson 6: Graphs of Functions (Part 3)		1. Identify graphs: word problems
Lesson 6: Graphs of Functions (Part 3)
1. Identify graphs: word problems
Sub-Unit 2 - Linear Functions
Lesson 7: Proportional Relationships		1. Write equations for proportional relationships from graphs 2. Graph proportional relationships and find the slope 3. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables • Find the constant of proportionality from a graph
Lesson 7: Proportional Relationships
1. Write equations for proportional relationships from graphs 2. Graph proportional relationships and find the slope 3. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables • Find the constant of proportionality from a graph

Lesson 8: Introducing Linear Functions		1. Identify proportional relationships by graphing 2. Graph proportional relationships
Lesson 8: Introducing Linear Functions
1. Identify proportional relationships by graphing 2. Graph proportional relationships

Lesson 9: Comparing Relationships		1. Rate of change: tables 2. Identify linear and nonlinear functions: tables Also consider: • Identify linear and nonlinear functions: graphs and equations
Lesson 9: Comparing Relationships
1. Rate of change: tables 2. Identify linear and nonlinear functions: tables Also consider: • Identify linear and nonlinear functions: graphs and equations

Lesson 10: More Linear Functions		1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations 3. Compare proportional relationships represented in different ways
Lesson 10: More Linear Functions
1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations 3. Compare proportional relationships represented in different ways

Lesson 11: Representations of Linear Functions		1. Write a linear equation from a scenario 2. Interpret the slope and y-intercept of a linear function
Lesson 11: Representations of Linear Functions
1. Write a linear equation from a scenario 2. Interpret the slope and y-intercept of a linear function

Lesson 12: Translating to y = mx + b		1. Graph a line from an equation
Lesson 12: Translating to y = mx + b
1. Graph a line from an equation

Lesson 13: Slopes Don't Have to be Positive		1. Find the slope from a graph 2. Graph a line from an equation in slope-intercept form 3. Write a linear equation from a slope and y-intercept Also consider: • Slope-intercept form: find the slope and y-intercept • Write a linear equation from a graph • Write a linear function from a table
Lesson 13: Slopes Don't Have to be Positive
1. Find the slope from a graph 2. Graph a line from an equation in slope-intercept form 3. Write a linear equation from a slope and y-intercept Also consider: • Slope-intercept form: find the slope and y-intercept • Write a linear equation from a graph • Write a linear function from a table

Lesson 14: Writing Equations for Lines Using Two Points		1. Find the slope from two points 2. Write a linear equation from two points
Lesson 14: Writing Equations for Lines Using Two Points
1. Find the slope from two points 2. Write a linear equation from two points

Lesson 15: Equations for All Kinds of Lines		1. Graph a horizontal or vertical line
Lesson 15: Equations for All Kinds of Lines
1. Graph a horizontal or vertical line
Sub-Unit 3 - Associations in Data
Lesson 16: Creating a Scatter Plot		1. Create scatter plots
Lesson 16: Creating a Scatter Plot
1. Create scatter plots

Lesson 17: Observing Patterns in Scatter Plots		1. Interpret scatter plots 2. Identify trends with scatter plots
Lesson 17: Observing Patterns in Scatter Plots
1. Interpret scatter plots 2. Identify trends with scatter plots

Lesson 18: Drawing and Using a Linear Model		1. Make predictions with scatter plots 2. Identify lines of best fit 3. Outliers in scatter plots
Lesson 18: Drawing and Using a Linear Model
1. Make predictions with scatter plots 2. Identify lines of best fit 3. Outliers in scatter plots

Lesson 19: Interpreting Slope and y-intercept		1. Write equations for lines of best fit
Lesson 19: Interpreting Slope and y-intercept
1. Write equations for lines of best fit

Lesson 20: Analyzing Bivariate Data		1. Interpret lines of best fit: word problems
Lesson 20: Analyzing Bivariate Data
1. Interpret lines of best fit: word problems
Sub-Unit 4 - Systems of Linear Equations
Lesson 21: On Both of the Lines
Lesson 21: On Both of the Lines


Lesson 22: Systems of Linear Equations		1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems
Lesson 22: Systems of Linear Equations
1. Solve a system of equations by graphing 2. Solve a system of equations by graphing: word problems

Lesson 23: Solving Systems of Linear Equations (Part 1)		1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations
Lesson 23: Solving Systems of Linear Equations (Part 1)
1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations

Lesson 24: Solving Systems of Linear Equations (Part 2)		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations using substitution 3. Solve a system of equations using any method Also consider: • Relate the graph of an equation to its solutions
Lesson 24: Solving Systems of Linear Equations (Part 2)
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations using substitution 3. Solve a system of equations using any method Also consider: • Relate the graph of an equation to its solutions

Lesson 25: Writing Systems of Linear Equations		1. Solve a system of equations using substitution: word problems 2. Solve a system of equations using any method: word problems
Lesson 25: Writing Systems of Linear Equations
1. Solve a system of equations using substitution: word problems 2. Solve a system of equations using any method: word problems
Capstone
Lesson 26: Rogue Planes
Lesson 26: Rogue Planes

5	Unit 7A.5 Percentages
Launch
Lesson 1: (Re)Presenting the United States
Lesson 1: (Re)Presenting the United States

Sub-Unit 1 - Warming up to Percentages
Lesson 2: What are Percentages?		1. What percentage is illustrated?
Lesson 2: What are Percentages?
1. What percentage is illustrated?

Lesson 3: Determining Percentages		1. Find what percent one number is of another 2. Find what percent one number is of another: word problems
Lesson 3: Determining Percentages
1. Find what percent one number is of another 2. Find what percent one number is of another: word problems

Lesson 4: Benchmark Percentages		1. Solve percent problems: benchmark percents Also consider: • Estimate percents of numbers
Lesson 4: Benchmark Percentages
1. Solve percent problems: benchmark percents Also consider: • Estimate percents of numbers

Lesson 5: This Percent of That		1. Percents of numbers: word problems Also consider: • Percents of numbers and money amounts
Lesson 5: This Percent of That
1. Percents of numbers: word problems Also consider: • Percents of numbers and money amounts

Lesson 6: This Percent of What		1. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 2. Solve percent problems using strip models 3. Find the total given a part and a percent
Lesson 6: This Percent of What
1. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 2. Solve percent problems using strip models 3. Find the total given a part and a percent

Lesson 7: Solving Percentage Problems		1. Solve percent problems 2. Solve percent word problems 3. Which is the better coupon?
Lesson 7: Solving Percentage Problems
1. Solve percent problems 2. Solve percent word problems 3. Which is the better coupon?

Lesson 8: Voting for a School Mascot
Lesson 8: Voting for a School Mascot

Sub-Unit 2 - Percent Increase and Decrease
Lesson 9: Understanding Percentages Involving Decimals		1. Percents of numbers: fractional and decimal percents
Lesson 9: Understanding Percentages Involving Decimals
1. Percents of numbers: fractional and decimal percents

Lesson 10: Percent Increase and Decrease		1. Percent increase or decrease: word problems 2. Markups and sales
Lesson 10: Percent Increase and Decrease
1. Percent increase or decrease: word problems 2. Markups and sales

Lesson 11: Determining 100%		1. Percent of change: find the original amount word problems
Lesson 11: Determining 100%
1. Percent of change: find the original amount word problems

Lesson 12: Determining Percent Change		1. Percent of change 2. Percent of change: word problems
Lesson 12: Determining Percent Change
1. Percent of change 2. Percent of change: word problems

Lesson 13: Percent Increase and Decrease With Equations
Lesson 13: Percent Increase and Decrease With Equations


Lesson 14: Solving Percent Problems in New Ways		1. Percents of numbers: word problems 2. Solve percent equations 3. Solve percent equations: word problems Also consider: • Sale prices: find the original price
Lesson 14: Solving Percent Problems in New Ways
1. Percents of numbers: word problems 2. Solve percent equations 3. Solve percent equations: word problems Also consider: • Sale prices: find the original price
Sub-Unit 3 - Applying Percentages
Lesson 15: Tax and Tip		1. Tax and tip: word problems
Lesson 15: Tax and Tip
1. Tax and tip: word problems

Lesson 16: Percentage Contexts		1. Commission 2. Simple interest
Lesson 16: Percentage Contexts
1. Commission 2. Simple interest

Lesson 17: Determining the Percentage		1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more 3. Multi-step problems with percents
Lesson 17: Determining the Percentage
1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more 3. Multi-step problems with percents

Lesson 18: Measurement Error		1. Percent error: word problems
Lesson 18: Measurement Error
1. Percent error: word problems

Lesson 19: Looking for Associations		1. Two-way tables and bar graphs
Lesson 19: Looking for Associations
1. Two-way tables and bar graphs

Lesson 20: Using Data Displays to Find Associations
Lesson 20: Using Data Displays to Find Associations

Capstone
Lesson 21: Writing Better Headlines
Lesson 21: Writing Better Headlines

6	Unit 7A.6 Surface Area and Volume
Launch
Lesson 1: Shaping Up		1. Identify and classify polygons Also consider: • Draw quadrilaterals
Lesson 1: Shaping Up
1. Identify and classify polygons Also consider: • Draw quadrilaterals
Sub-Unit 1 - Solid Geometry
Lesson 2: Slicing Solids		1. Cross sections of three-dimensional figures
Lesson 2: Slicing Solids
1. Cross sections of three-dimensional figures

Lesson 3: Volume of Right Prisms		1. Volume of rectangular prisms made of unit cubes 2. Volume of cubes and prisms 3. Relationship between volume and the area of the base: word problems
Lesson 3: Volume of Right Prisms
1. Volume of rectangular prisms made of unit cubes 2. Volume of cubes and prisms 3. Relationship between volume and the area of the base: word problems

Lesson 4: Decomposing Bases for Area		1. Volume of prisms: advanced 2. Area of compound figures made of rectangles 3. Area of compound figures with triangles
Lesson 4: Decomposing Bases for Area
1. Volume of prisms: advanced 2. Area of compound figures made of rectangles 3. Area of compound figures with triangles

Lesson 5: Surface Area of Right Prisms		1. Surface area of cubes and prisms Also consider: • Nets of three-dimensional figures
Lesson 5: Surface Area of Right Prisms
1. Surface area of cubes and prisms Also consider: • Nets of three-dimensional figures

Lesson 6: Distinguishing Surface Area and Volume		1. Relate between volume and surface area
Lesson 6: Distinguishing Surface Area and Volume
1. Relate between volume and surface area
Sub-Unit 2 - Cylinders, Cones, and Spheres
Lesson 7: Filling Containers
Lesson 7: Filling Containers


Lesson 8: The Volume of a Cylinder		1. Volume of cylinders Also consider: • Area of circles
Lesson 8: The Volume of a Cylinder
1. Volume of cylinders Also consider: • Area of circles

Lesson 9: Determining Dimensions of Cylinders		1. Volume of cylinders: find the missing dimension
Lesson 9: Determining Dimensions of Cylinders
1. Volume of cylinders: find the missing dimension

Lesson 10: The Volume of a Cone		1. Volume of cones
Lesson 10: The Volume of a Cone
1. Volume of cones

Lesson 11: Determining Dimensions of Cones		1. Volume of cones: find the missing dimension
Lesson 11: Determining Dimensions of Cones
1. Volume of cones: find the missing dimension

Lesson 12: Estimating a Hemisphere
Lesson 12: Estimating a Hemisphere


Lesson 13: The Volume of a Sphere		1. Volume of spheres
Lesson 13: The Volume of a Sphere
1. Volume of spheres

Lesson 14: Cylinders, Cones, and Spheres		1. Volume of cylinders, cones, and spheres
Lesson 14: Cylinders, Cones, and Spheres
1. Volume of cylinders, cones, and spheres

Lesson 15: Scaling Dimensions		1. Volume: changes in scale I 2. Volume: changes in scale II
Lesson 15: Scaling Dimensions
1. Volume: changes in scale I 2. Volume: changes in scale II
Capstone
Lesson 16: Packing Spheres
Lesson 16: Packing Spheres

7	Unit 7A.7 Exponents and Scientific Notation
Launch
Lesson 1: Create a Sierpiński Triangle
Lesson 1: Create a Sierpiński Triangle

Sub-Unit 1 - Exponent Rules
Lesson 2: Reviewing Exponents		1. Understanding exponents 2. Evaluate powers 3. Powers with negative bases
Lesson 2: Reviewing Exponents
1. Understanding exponents 2. Evaluate powers 3. Powers with negative bases

Lesson 3: Multiplying Powers		1. Multiply powers: integer bases Also consider: • Multiplication with exponents
Lesson 3: Multiplying Powers
1. Multiply powers: integer bases Also consider: • Multiplication with exponents

Lesson 4: Dividing Powers		1. Divide powers: integer bases Also consider: • Division with exponents • Multiply and divide powers: integer bases
Lesson 4: Dividing Powers
1. Divide powers: integer bases Also consider: • Division with exponents • Multiply and divide powers: integer bases

Lesson 5: Negative Exponents		1. Understanding negative exponents 2. Evaluate powers with negative exponents 3. Multiplication with integer exponents 4. Division with integer exponents Also consider: • Evaluate powers with negative or zero exponents
Lesson 5: Negative Exponents
1. Understanding negative exponents 2. Evaluate powers with negative exponents 3. Multiplication with integer exponents 4. Division with integer exponents Also consider: • Evaluate powers with negative or zero exponents

Lesson 6: Powers of Powers		1. Power of a power: integer bases 2. Power rule with integer exponents Also consider: • Exponent rules with powers of ten
Lesson 6: Powers of Powers
1. Power of a power: integer bases 2. Power rule with integer exponents Also consider: • Exponent rules with powers of ten

Lesson 7: Different Bases, Same Exponent
Lesson 7: Different Bases, Same Exponent


Lesson 8: Practice With Rational Bases		1. Evaluate expressions using properties of exponents 2. Identify equivalent expressions involving exponents I 3. Identify equivalent expressions involving exponents II
Lesson 8: Practice With Rational Bases
1. Evaluate expressions using properties of exponents 2. Identify equivalent expressions involving exponents I 3. Identify equivalent expressions involving exponents II
Sub-Unit 2 - Scientific Notation
Lesson 9: Representing Large Numbers on the Number Line		1. Compare large numbers
Lesson 9: Representing Large Numbers on the Number Line
1. Compare large numbers

Lesson 10: Representing Small Numbers on the Number Line		1. Compare small numbers Also consider: • Compare numbers written in scientific notation
Lesson 10: Representing Small Numbers on the Number Line
1. Compare small numbers Also consider: • Compare numbers written in scientific notation

Lesson 11: Definition of Scientific Notation		1. Convert between standard and scientific notation
Lesson 11: Definition of Scientific Notation
1. Convert between standard and scientific notation

Lesson 12: Multiplying, Dividing, and Estimating With Scientific Notation		1. Multiply numbers written in scientific notation 2. Divide numbers written in scientific notation
Lesson 12: Multiplying, Dividing, and Estimating With Scientific Notation
1. Multiply numbers written in scientific notation 2. Divide numbers written in scientific notation

Lesson 13: Adding and Subtracting With Scientific Notation		1. Add and subtract numbers written in scientific notation
Lesson 13: Adding and Subtracting With Scientific Notation
1. Add and subtract numbers written in scientific notation
Capstone
Lesson 14: Applications of Arithmetic With Powers of 10
Lesson 14: Applications of Arithmetic With Powers of 10

8	Unit 7A.8 Irrationals and the Pythagorean Theorem
Launch
Lesson 1: Sliced Bread
Lesson 1: Sliced Bread

Sub-Unit 1 - Rational and Irrational Numbers
Lesson 2: The Square Root		1. Square roots of perfect squares 2. Positive and negative square roots 3. Solve equations using square roots Also consider: • Relationship between squares and square roots
Lesson 2: The Square Root
1. Square roots of perfect squares 2. Positive and negative square roots 3. Solve equations using square roots Also consider: • Relationship between squares and square roots

Lesson 3: Estimating Square Roots		1. Estimate positive square roots
Lesson 3: Estimating Square Roots
1. Estimate positive square roots

Lesson 4: The Cube Root		1. Cube roots of positive perfect cubes 2. Estimate cube roots
Lesson 4: The Cube Root
1. Cube roots of positive perfect cubes 2. Estimate cube roots

Lesson 5: Rational and Irrational Numbers		1. Identify rational and irrational square roots 2. Identify rational and irrational numbers 3. Irrational numbers on number lines
Lesson 5: Rational and Irrational Numbers
1. Identify rational and irrational square roots 2. Identify rational and irrational numbers 3. Irrational numbers on number lines

Lesson 6: Decimal Representations of Rational Numbers		1. Convert fractions or mixed numbers to terminating or repeating decimals (Eighth grade) 2. Convert between decimals and fractions or mixed numbers 3. Convert fractions or mixed numbers to terminating or repeating decimals (Sixth grade)
Lesson 6: Decimal Representations of Rational Numbers
1. Convert fractions or mixed numbers to terminating or repeating decimals (Eighth grade) 2. Convert between decimals and fractions or mixed numbers 3. Convert fractions or mixed numbers to terminating or repeating decimals (Sixth grade)

Lesson 7: Converting Repeating Decimals into Fractions		1. Convert between repeating decimals and fractions
Lesson 7: Converting Repeating Decimals into Fractions
1. Convert between repeating decimals and fractions
Sub-Unit 2 - Drawing Polygons With Given Conditions
Lesson 8: Building Polygons (Part 1)		1. Graph triangles and quadrilaterals
Lesson 8: Building Polygons (Part 1)
1. Graph triangles and quadrilaterals

Lesson 9: Building Polygons (Part 2)		1. Triangle inequality
Lesson 9: Building Polygons (Part 2)
1. Triangle inequality

Lesson 10: Triangles With Three Common Measures
Lesson 10: Triangles With Three Common Measures


Lesson 11: Drawing Triangles (Part 1)
Lesson 11: Drawing Triangles (Part 1)


Lesson 12: Drawing Triangles (Part 2)
Lesson 12: Drawing Triangles (Part 2)

Sub-Unit 3 - The Pythagorean Theorem
Lesson 13: Observing the Pythagorean Theorem
Lesson 13: Observing the Pythagorean Theorem


Lesson 14: Proving the Pythagorean Theorem
Lesson 14: Proving the Pythagorean Theorem


Lesson 15: Determining Unknown Side Lengths		1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length
Lesson 15: Determining Unknown Side Lengths
1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length

Lesson 16: Converse of the Pythagorean Theorem		1. Converse of the Pythagorean theorem: is it a right triangle?
Lesson 16: Converse of the Pythagorean Theorem
1. Converse of the Pythagorean theorem: is it a right triangle?

Lesson 17: Distances on the Coordinate Plane		1. Find the distance between two points
Lesson 17: Distances on the Coordinate Plane
1. Find the distance between two points

Lesson 18: Applications of Pythagorean Theorem		1. Pythagorean theorem: word problems
Lesson 18: Applications of Pythagorean Theorem
1. Pythagorean theorem: word problems
Capstone
Lesson 19: Pythagorean Triples
Lesson 19: Pythagorean Triples

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