IXL skill plan | Grade 8 plan for Into Math

Skill plan for Into Math - Grade 8

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 Transformational Geometry
Module 1 - Transformations and Congruence
Lesson 1: Investigate Transformations		1. Describe how a figure moves Also consider: • Graph triangles and quadrilaterals • Line symmetry • Rotational symmetry
Lesson 1: Investigate Transformations
1. Describe how a figure moves Also consider: • Graph triangles and quadrilaterals • Line symmetry • Rotational symmetry

Lesson 2: Explore Translations		1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule
Lesson 2: Explore Translations
1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule

Lesson 3: Explore Reflections		1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates Also consider: • Reflections: graph the image
Lesson 3: Explore Reflections
1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates Also consider: • Reflections: graph the image

Lesson 4: Explore Rotations		1. Rotations: graph the image 2. Rotations: find the coordinates Also consider: • Reflections and rotations: write the rule • Describe transformations • Identify reflections, rotations, and translations
Lesson 4: Explore Rotations
1. Rotations: graph the image 2. Rotations: find the coordinates Also consider: • Reflections and rotations: write the rule • Describe transformations • Identify reflections, rotations, and translations

Lesson 5: Understand and Recognize Congruent Figures		1. Sequences of congruence transformations: choose the sequence 2. Sequences of congruence transformations: graph the image Also consider: • Identify congruent figures • Side lengths and angle measures of congruent figures • Determine if two figures are congruent: justify your answer
Lesson 5: Understand and Recognize Congruent Figures
1. Sequences of congruence transformations: choose the sequence 2. Sequences of congruence transformations: graph the image Also consider: • Identify congruent figures • Side lengths and angle measures of congruent figures • Determine if two figures are congruent: justify your answer

Checkpoint opportunity		1. Checkpoint: Congruence transformations
Checkpoint opportunity
1. Checkpoint: Congruence transformations
Module 2 - Transformations and Similarity
Lesson 1: Investigate Reductions and Enlargements		1. Classify dilations
Lesson 1: Investigate Reductions and Enlargements
1. Classify dilations

Lesson 2: Explore Dilations		1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find scale factor and the center of the dilation
Lesson 2: Explore Dilations
1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find scale factor and the center of the dilation

Lesson 3: Understand and Recognize Similar Figures		1. Similar figures 2. Determine if two figures are similar: justify your answer Also consider: • Side lengths and angle measures of similar figures
Lesson 3: Understand and Recognize Similar Figures
1. Similar figures 2. Determine if two figures are similar: justify your answer Also consider: • Side lengths and angle measures of similar figures

Checkpoint opportunity		Module 2 1. Checkpoint: Similarity transformations Modules 1-2 2. Checkpoint: Transformations on the coordinate plane
Checkpoint opportunity
Module 2 1. Checkpoint: Similarity transformations Modules 1-2 2. Checkpoint: Transformations on the coordinate plane

2	Unit 2 Linear Equations and Applications
Module 3 - Solve Linear Equations
Lesson 1: Solve Multi-step Linear Equations		1. Solve multi-step equations 2. Solve multi-step equations with fractional coefficients Also consider: • Solve equations involving like terms • Solve equations with variables on both sides • Solve equations using the distributive property • Solve equations: mixed review
Lesson 1: Solve Multi-step Linear Equations
1. Solve multi-step equations 2. Solve multi-step equations with fractional coefficients Also consider: • Solve equations involving like terms • Solve equations with variables on both sides • Solve equations using the distributive property • Solve equations: mixed review

Lesson 2: Examine Special Cases		1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions
Lesson 2: Examine Special Cases
1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions

Lesson 3: Apply Linear Equations		1. Solve equations with variables on both sides: word problems Also consider: • Solve one-step and two-step equations: word problems
Lesson 3: Apply Linear Equations
1. Solve equations with variables on both sides: word problems Also consider: • Solve one-step and two-step equations: word problems

Checkpoint opportunity		1. Checkpoint: Solve linear equations
Checkpoint opportunity
1. Checkpoint: Solve linear equations
Module 4 - Angle Relationships
Lesson 1: Develop Angle Relationships for Triangles		1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem 3. Exterior Angle Theorem
Lesson 1: Develop Angle Relationships for Triangles
1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem 3. Exterior Angle Theorem

Lesson 2: Investigate Angle-Angle Similarity		1. Angle-angle criterion for similar triangles 2. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures of similar triangles
Lesson 2: Investigate Angle-Angle Similarity
1. Angle-angle criterion for similar triangles 2. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures of similar triangles

Lesson 3: Explore Parallel Lines Cut by a Transversal		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: • Identify complementary, supplementary, vertical, adjacent, and congruent angles • Find measures of complementary, supplementary, vertical, and adjacent angles
Lesson 3: Explore Parallel Lines Cut by a Transversal
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: • Identify complementary, supplementary, vertical, adjacent, and congruent angles • Find measures of complementary, supplementary, vertical, and adjacent angles

Checkpoint opportunity		1. Checkpoint: Triangles and transversals
Checkpoint opportunity
1. Checkpoint: Triangles and transversals

3	Unit 3 Relationships and Functions
Module 5 - Proportional Relationships
Lesson 1: Explain Slope with Similar Triangles		1. Find the slope of a graph: proportional relationships Also consider: • Find the constant of proportionality from a table • Find the constant of proportionality from a graph • Solve proportions: word problems
Lesson 1: Explain Slope with Similar Triangles
1. Find the slope of a graph: proportional relationships Also consider: • Find the constant of proportionality from a table • Find the constant of proportionality from a graph • Solve proportions: word problems

Lesson 2: Derive y=mx		1. Write equations for proportional relationships from tables and graphs 2. Write and solve equations for proportional relationships 3. Graph proportional relationships from equations Also consider: • Identify proportional relationships by graphing • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables
Lesson 2: Derive y=mx
1. Write equations for proportional relationships from tables and graphs 2. Write and solve equations for proportional relationships 3. Graph proportional relationships from equations Also consider: • Identify proportional relationships by graphing • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables

Lesson 3: Interpret and Graph Proportional Relationships		1. Complete a table and graph a proportional relationship 2. Interpret graphs of proportional relationships Also consider: • Graph proportional relationships and find the slope • Identify independent and dependent variables • Unit rates
Lesson 3: Interpret and Graph Proportional Relationships
1. Complete a table and graph a proportional relationship 2. Interpret graphs of proportional relationships Also consider: • Graph proportional relationships and find the slope • Identify independent and dependent variables • Unit rates

Lesson 4: Compare Proportional Relationships		1. Compare proportional relationships represented in different ways
Lesson 4: Compare Proportional Relationships
1. Compare proportional relationships represented in different ways

Checkpoint opportunity		1. Checkpoint: Proportional relationships
Checkpoint opportunity
1. Checkpoint: Proportional relationships
Module 6 - Understand and Analyze Functions
Lesson 1: Understand and Graph Functions		1. Identify functions 2. Identify functions: graphs 3. Domain and range of functions 4. Domain and range of linear functions: word problems Also consider: • Complete a table for a linear function: word problems • Complete a table for a function graph
Lesson 1: Understand and Graph Functions
1. Identify functions 2. Identify functions: graphs 3. Domain and range of functions 4. Domain and range of linear functions: word problems Also consider: • Complete a table for a linear function: word problems • Complete a table for a function graph

Lesson 2: Derive and Interpret y=mx		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 a point 4. Convert a linear equation in standard form to slope-intercept form Also consider: • Find the slope from two points • Find the slope from a table
Lesson 2: Derive and Interpret y=mx
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 a point 4. Convert a linear equation in standard form to slope-intercept form Also consider: • Find the slope from two points • Find the slope from a table

Lesson 3: Interpret Rate of Change and Initial Value		1. Rate of change of a linear function: graphs 2. Interpret the slope and y-intercept of a linear function 3. Interpret points on the graph of a linear function 4. Rate of change of a linear function: tables Also consider: • Rate of change: tables • Rate of change: graphs
Lesson 3: Interpret Rate of Change and Initial Value
1. Rate of change of a linear function: graphs 2. Interpret the slope and y-intercept of a linear function 3. Interpret points on the graph of a linear function 4. Rate of change of a linear function: tables Also consider: • Rate of change: tables • Rate of change: graphs

Lesson 4: Construct Functions		1. Write a linear equation from a graph 2. Write a linear equation from two points 3. Write a linear function from a table 4. Write linear functions: word problems
Lesson 4: Construct Functions
1. Write a linear equation from a graph 2. Write a linear equation from two points 3. Write a linear function from a table 4. Write linear functions: word problems

Lesson 5: Compare Functions		1. Compare linear functions: tables, graphs, and equations • Coming soon: Compare linear functions: word problems
Lesson 5: Compare Functions
1. Compare linear functions: tables, graphs, and equations • Coming soon: Compare linear functions: word problems

Lesson 6: Describe and Sketch Nonlinear Functions		1. Identify linear and nonlinear functions: graphs and equations 2. Identify graphs: word problems Also consider: • Identify linear and nonlinear functions: tables
Lesson 6: Describe and Sketch Nonlinear Functions
1. Identify linear and nonlinear functions: graphs and equations 2. Identify graphs: word problems Also consider: • Identify linear and nonlinear functions: tables

Checkpoint opportunity		Module 6 1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions 4. Checkpoint: Construct and interpret linear functions 5. Checkpoint: Sketch and describe graphs Modules 5-6 6. Checkpoint: Slope and linear equations
Checkpoint opportunity
Module 6 1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions 4. Checkpoint: Construct and interpret linear functions 5. Checkpoint: Sketch and describe graphs Modules 5-6 6. Checkpoint: Slope and linear equations
Module 7 - Systems of Linear Equations
Lesson 1: Represent Systems by Graphing		1. Solve a system of equations by graphing: word problems
Lesson 1: Represent Systems by Graphing
1. Solve a system of equations by graphing: word problems

Lesson 2: Solve Systems by Graphing		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing Also consider: • Graph a line from an equation in standard form
Lesson 2: Solve Systems by Graphing
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing Also consider: • Graph a line from an equation in standard form

Lesson 3: Solve Systems by Substitution		1. Solve a system of equations using substitution
Lesson 3: Solve Systems by Substitution
1. Solve a system of equations using substitution

Lesson 4: Solve Systems by Elimination		1. Solve a system of equations using elimination Also consider: • Solve a system of equations using any method
Lesson 4: Solve Systems by Elimination
1. Solve a system of equations using elimination Also consider: • Solve a system of equations using any method

Lesson 5: Examine Special Systems		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 5: Examine Special Systems
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 6: Apply Systems of Equations		1. Solve a system of equations using any method: word problems
Lesson 6: Apply Systems of Equations
1. Solve a system of equations using any method: word problems

Checkpoint opportunity		1. Checkpoint: Systems of equations
Checkpoint opportunity
1. Checkpoint: Systems of equations

4	Unit 4 Statistics and Probability
Module 8 - Scatter Plots
Lesson 1: Construct Scatter Plots and Examine Association		1. Create scatter plots 2. Identify trends with scatter plots 3. Outliers in scatter plots Also consider: • Identify an outlier
Lesson 1: Construct Scatter Plots and Examine Association
1. Create scatter plots 2. Identify trends with scatter plots 3. Outliers in scatter plots Also consider: • Identify an outlier

Lesson 2: Draw and Analyze Trend Lines		1. Identify lines of best fit 2. Make predictions with scatter plots Also consider: • Write equations for lines of best fit
Lesson 2: Draw and Analyze Trend Lines
1. Identify lines of best fit 2. Make predictions with scatter plots Also consider: • Write equations for lines of best fit

Lesson 3: Interpret Linear Data in Context		1. Interpret scatter plots 2. Interpret lines of best fit: word problems
Lesson 3: Interpret Linear Data in Context
1. Interpret scatter plots 2. Interpret lines of best fit: word problems

Checkpoint opportunity		1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve
Checkpoint opportunity
1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve
Module 9 - Two-Way Tables
Lesson 1: Construct and Interpret Two-Way Frequency Tables
Lesson 1: Construct and Interpret Two-Way Frequency Tables


Lesson 2: Construct Two-Way Relative Frequency Tables
Lesson 2: Construct Two-Way Relative Frequency Tables


Lesson 3: Interpret Two-Way Relative Frequency Tables
Lesson 3: Interpret Two-Way Relative Frequency Tables


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

5	Unit 5 Real Numbers and the Pythagorean Theorem
Module 10 - Real Numbers
Lesson 1: Understand Rational and Irrational Numbers		1. Convert between repeating decimals and fractions 2. Convert between decimals and fractions or mixed numbers
Lesson 1: Understand Rational and Irrational Numbers
1. Convert between repeating decimals and fractions 2. Convert between decimals and fractions or mixed numbers

Lesson 2: Investigate Roots		1. Square roots and cube roots 2. Solve equations using square roots 3. Solve equations using cube roots 4. Identify rational and irrational numbers Also consider: • Identify rational and irrational square roots • Relationship between squares and square roots
Lesson 2: Investigate Roots
1. Square roots and cube roots 2. Solve equations using square roots 3. Solve equations using cube roots 4. Identify rational and irrational numbers Also consider: • Identify rational and irrational square roots • Relationship between squares and square roots

Lesson 3: Order Real Numbers		1. Estimate square roots and cube roots 2. Irrational numbers on number lines 3. Compare and order rational and irrational numbers Also consider: • Compare rational numbers • Put rational numbers in order
Lesson 3: Order Real Numbers
1. Estimate square roots and cube roots 2. Irrational numbers on number lines 3. Compare and order rational and irrational numbers Also consider: • Compare rational numbers • Put rational numbers in order

Checkpoint opportunity		1. Checkpoint: Rational and irrational numbers 2. Checkpoint: Approximate irrational numbers 3. Checkpoint: Square and cube roots
Checkpoint opportunity
1. Checkpoint: Rational and irrational numbers 2. Checkpoint: Approximate irrational numbers 3. Checkpoint: Square and cube roots
Module 11 - The Pythagorean Theorem
Lesson 1: Prove the Pythagorean Theorem		1. Pythagorean theorem: find the missing leg or hypotenuse length
Lesson 1: Prove the Pythagorean Theorem
1. Pythagorean theorem: find the missing leg or hypotenuse length

Lesson 2: Prove the Converse of the Pythagorean Theorem		1. Converse of the Pythagorean theorem: is it a right triangle?
Lesson 2: Prove the Converse of the Pythagorean Theorem
1. Converse of the Pythagorean theorem: is it a right triangle?

Lesson 3: Apply the Pythagorean Theorem		1. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter
Lesson 3: Apply the Pythagorean Theorem
1. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter

Lesson 4: Apply the Pythagorean Theorem in the Coordinate Plane		1. Find the distance between two points
Lesson 4: Apply the Pythagorean Theorem in the Coordinate Plane
1. Find the distance between two points

Checkpoint opportunity		1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem
Checkpoint opportunity
1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem

6	Unit 6 Exponents, Scientific Notation, and Volume
Module 12 - Exponents and Scientific Notation
Lesson 1: Know and Apply Properties of Exponents		1. Understanding negative exponents 2. Exponents: multiplication, division, and power rules 3. Evaluate expressions using properties of exponents Also consider: • Evaluate powers with negative or zero exponents
Lesson 1: Know and Apply Properties of Exponents
1. Understanding negative exponents 2. Exponents: multiplication, division, and power rules 3. Evaluate expressions using properties of exponents Also consider: • Evaluate powers with negative or zero exponents

Lesson 2: Understand Scientific Notation		1. Convert between standard and scientific notation 2. Scientific notation on calculators Also consider: • Compare numbers written in scientific notation
Lesson 2: Understand Scientific Notation
1. Convert between standard and scientific notation 2. Scientific notation on calculators Also consider: • Compare numbers written in scientific notation

Lesson 3: Compute with Scientific Notation		1. Add and subtract numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation
Lesson 3: Compute with Scientific Notation
1. Add and subtract numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation

Checkpoint opportunity		1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Checkpoint opportunity
1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Module 13 - Volume
Lesson 1: Find Volume of Cylinders		1. Volume of cylinders
Lesson 1: Find Volume of Cylinders
1. Volume of cylinders

Lesson 2: Find Volume of Cones		1. Volume of cones
Lesson 2: Find Volume of Cones
1. Volume of cones

Lesson 3: Find Volume of Spheres		1. Volume of spheres
Lesson 3: Find Volume of Spheres
1. Volume of spheres

Lesson 4: Apply Volume
Lesson 4: Apply Volume


Checkpoint opportunity		1. Checkpoint: Volume
Checkpoint opportunity
1. Checkpoint: Volume

This document includes the IXL® skill alignments to Houghton Mifflin Harcourt's Into Math 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 Houghton Mifflin Harcourt 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.