IXL skill plan | Grade 7 plan for Into Math

Skill plan for Into Math - Grade 7

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 Proportional Relationships
Module 1 - Identify and Represent Proportional Relationships
Lesson 1: Explore Relationships		1. Understanding ratios 2. Unit rates 3. Equivalent ratios: word problems Also consider: • Identify equivalent ratios • Write an equivalent ratio
Lesson 1: Explore Relationships
1. Understanding ratios 2. Unit rates 3. Equivalent ratios: word problems Also consider: • Identify equivalent ratios • Write an equivalent ratio

Lesson 2: Recognize Proportional Relationships in Tables		1. Identify proportional relationships from tables 2. Find the constant of proportionality from a table 3. Write equations for proportional relationships from tables
Lesson 2: Recognize Proportional Relationships in Tables
1. Identify proportional relationships from tables 2. Find the constant of proportionality from a table 3. Write equations for proportional relationships from tables

Lesson 3: Compare Unit Rates Involving Fractions		1. Calculate unit rates with fractions
Lesson 3: Compare Unit Rates Involving Fractions
1. Calculate unit rates with fractions

Lesson 4: Recognize Proportional Relationships in Graphs		1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Write equations for proportional relationships from graphs Also consider: • Interpret graphs of proportional relationships • Ratios and rates: complete a table and make a graph
Lesson 4: Recognize Proportional Relationships in Graphs
1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Write equations for proportional relationships from graphs Also consider: • Interpret graphs of proportional relationships • Ratios and rates: complete a table and make a graph

Lesson 5: Use Proportional Relationships to Solve Rate Problems		1. Solve word problems using unit rates 2. Write and solve equations for proportional relationships Also consider: • Compare rates: word problems • Solve proportions
Lesson 5: Use Proportional Relationships to Solve Rate Problems
1. Solve word problems using unit rates 2. Write and solve equations for proportional relationships Also consider: • Compare rates: word problems • Solve proportions

Lesson 6: Practice Proportional Reasoning with Scale Drawings		1. Scale drawings: word problems 2. Scale drawings: scale factor word problems
Lesson 6: Practice Proportional Reasoning with Scale Drawings
1. Scale drawings: word problems 2. Scale drawings: scale factor word problems
Module 2 - Proportional Reasoning with Percents
Lesson 1: Percent Change		1. Percent of change 2. Percent of change: word problems Also consider: • Percent of change: find the original amount word problems • Percent error: word problems
Lesson 1: Percent Change
1. Percent of change 2. Percent of change: word problems Also consider: • Percent of change: find the original amount word problems • Percent error: word problems

Lesson 2: Markups and Discounts		1. Markups and sales 2. Find the percent: markups and sales Also consider: • Which is the better coupon? • Sale prices: find the original price
Lesson 2: Markups and Discounts
1. Markups and sales 2. Find the percent: markups and sales Also consider: • Which is the better coupon? • Sale prices: find the original price

Lesson 3: Taxes and Gratuities		1. Estimate tips 2. Tax and tip: word problems
Lesson 3: Taxes and Gratuities
1. Estimate tips 2. Tax and tip: word problems

Lesson 4: Commissions and Fees		1. Commission Also consider: • Multi-step problems with percents • Percent of a number: tax, discount, and more
Lesson 4: Commissions and Fees
1. Commission Also consider: • Multi-step problems with percents • Percent of a number: tax, discount, and more

Lesson 5: Simple Interest		1. Simple interest
Lesson 5: Simple Interest
1. Simple interest

2	Unit 2 Rational Number Operations
Module 3 - Understand Addition and Subtraction of Rational Numbers
Lesson 1: Add or Subtract a Positive Integer on the Number Line		1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines
Lesson 1: Add or Subtract a Positive Integer on the Number Line
1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines

Lesson 2: Add or Subtract a Negative Integer on the Number Line		1. Add integers using number lines 2. Subtract integers using number lines
Lesson 2: Add or Subtract a Negative Integer on the Number Line
1. Add integers using number lines 2. Subtract integers using number lines

Lesson 3: Use a Number Line to Add and Subtract Rational Numbers		1. Quantities that combine to zero: word problems
Lesson 3: Use a Number Line to Add and Subtract Rational Numbers
1. Quantities that combine to zero: word problems
Module 4 - Add and Subtract Rational Numbers
Lesson 1: Compute Sums of Integers		1. Absolute value and opposite integers 2. Integer addition rules 3. Add integers
Lesson 1: Compute Sums of Integers
1. Absolute value and opposite integers 2. Integer addition rules 3. Add integers

Lesson 2: Compute Differences of Integers		1. Integer subtraction rules 2. Subtract integers 3. Add and subtract integers: word problems Also consider: • Add and subtract integers
Lesson 2: Compute Differences of Integers
1. Integer subtraction rules 2. Subtract integers 3. Add and subtract integers: word problems Also consider: • Add and subtract integers

Lesson 3: Compute Sums and Differences of Rational Numbers		1. Add and subtract positive and negative decimals 2. Add and subtract positive and negative fractions 3. Add and subtract rational numbers
Lesson 3: Compute Sums and Differences of Rational Numbers
1. Add and subtract positive and negative decimals 2. Add and subtract positive and negative fractions 3. Add and subtract rational numbers

Lesson 4: Apply Properties to Multi-step Addition and Subtraction Problems		1. Add three or more integers 2. Apply addition and subtraction rules
Lesson 4: Apply Properties to Multi-step Addition and Subtraction Problems
1. Add three or more integers 2. Apply addition and subtraction rules
Module 5 - Multiply and Divide Rational Numbers
Lesson 1: Understand Multiplication and Divison of Rational Numbers		1. Integer multiplication and division rules 2. Multiply and divide integers 3. Apply multiplication and division rules Also consider: • Understand multiplying by a negative integer using a number line
Lesson 1: Understand Multiplication and Divison of Rational Numbers
1. Integer multiplication and division rules 2. Multiply and divide integers 3. Apply multiplication and division rules Also consider: • Understand multiplying by a negative integer using a number line

Lesson 2: Multiply Rational Numbers		1. Multiply rational numbers
Lesson 2: Multiply Rational Numbers
1. Multiply rational numbers

Lesson 3: Write Fractions as Decimals and Divide Integers		1. Equal quotients of integers 2. Convert fractions or mixed numbers to decimals Also consider: • Convert between mixed numbers and improper fractions
Lesson 3: Write Fractions as Decimals and Divide Integers
1. Equal quotients of integers 2. Convert fractions or mixed numbers to decimals Also consider: • Convert between mixed numbers and improper fractions

Lesson 4: Multiply and Divide Rational Numbers in Context		1. Multiply and divide positive and negative fractions 2. Multiply and divide positive and negative decimals 3. Multiply and divide positive rational numbers: word problems Also consider: • Multiply and divide rational numbers
Lesson 4: Multiply and Divide Rational Numbers in Context
1. Multiply and divide positive and negative fractions 2. Multiply and divide positive and negative decimals 3. Multiply and divide positive rational numbers: word problems Also consider: • Multiply and divide rational numbers
Module 6 - Solve Multi-step Problems Using Rational Numbers
Lesson 1: Apply Properties and Strategies to Operate with Rational Numbers		1. Add, subtract, multiply, and divide rational numbers 2. Evaluate numerical expressions involving rational numbers Also consider: • Evaluate numerical expressions involving integers
Lesson 1: Apply Properties and Strategies to Operate with Rational Numbers
1. Add, subtract, multiply, and divide rational numbers 2. Evaluate numerical expressions involving rational numbers Also consider: • Evaluate numerical expressions involving integers

Lesson 2: Estimate to Check Reasonableness		1. Multi-step word problems: identify reasonable answers
Lesson 2: Estimate to Check Reasonableness
1. Multi-step word problems: identify reasonable answers

Lesson 3: Solve Multi-step Problems with Rational Numbers in Context		1. Multi-step word problems with positive rational numbers 2. Multi-step problems with customary or metric unit conversions
Lesson 3: Solve Multi-step Problems with Rational Numbers in Context
1. Multi-step word problems with positive rational numbers 2. Multi-step problems with customary or metric unit conversions

3	Unit 3 Model with Expressions, Equations, and Inequalities
Module 7 - Solve Problems Using Expressions and Equations
Lesson 1: Write Linear Expressions in Different Forms for Situations		1. Identify equivalent linear expressions: word problems 2. Write variable expressions: word problems Also consider: • Identify terms and coefficients • Identify equivalent linear expressions I
Lesson 1: Write Linear Expressions in Different Forms for Situations
1. Identify equivalent linear expressions: word problems 2. Write variable expressions: word problems Also consider: • Identify terms and coefficients • Identify equivalent linear expressions I

Lesson 2: Add, Subtract, and Factor Linear Expressions with Rational Coefficients		1. Add and subtract linear expressions 2. Multiply using the distributive property 3. Simplify linear expressions 4. Factors of linear expressions Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Write equivalent expressions using properties
Lesson 2: Add, Subtract, and Factor Linear Expressions with Rational Coefficients
1. Add and subtract linear expressions 2. Multiply using the distributive property 3. Simplify linear expressions 4. Factors of linear expressions Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Write equivalent expressions using properties

Lesson 3: Write Two-Step Equations for Situations		1. Choose two-step equations: word problems Also consider: • Write an equation from words
Lesson 3: Write Two-Step Equations for Situations
1. Choose two-step equations: word problems Also consider: • Write an equation from words

Lesson 4: Apply Two-Step Equations to Solve Real-World Problems		1. Model and solve equations using algebra tiles 2. Solve two-step equations 3. Solve equations: complete the solution 4. Solve two-step equations: word problems Also consider: • Solve two-step equations with fractions
Lesson 4: Apply Two-Step Equations to Solve Real-World Problems
1. Model and solve equations using algebra tiles 2. Solve two-step equations 3. Solve equations: complete the solution 4. Solve two-step equations: word problems Also consider: • Solve two-step equations with fractions

Lesson 5: Apply Two-Step Equations to Find Angle Measures		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships
Lesson 5: Apply Two-Step Equations to Find Angle Measures
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships
Module 8 - Solve Problems Using Inequalities
Lesson 1: Understand and Apply Properties to Solve One-Step Inequalities		1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems
Lesson 1: Understand and Apply Properties to Solve One-Step Inequalities
1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems

Lesson 2: Write Two-Step Inequalities for Situations
Lesson 2: Write Two-Step Inequalities for Situations


Lesson 3: Apply Two-Step Inequalities to Solve Problems		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 3: Apply Two-Step Inequalities to Solve Problems
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

4	Unit 4 Geometry
Module 9 - Draw and Analyze Two-Dimensional Figures
Lesson 1: Draw Circles and Other Figures		1. Parts of a circle 2. Draw quadrilaterals
Lesson 1: Draw Circles and Other Figures
1. Parts of a circle 2. Draw quadrilaterals

Lesson 2: Draw and Construct Triangles Given Side Lengths		1. Triangle inequality
Lesson 2: Draw and Construct Triangles Given Side Lengths
1. Triangle inequality

Lesson 3: Draw and Construct Triangles Given Angle Measures		1. Find missing angles in triangles
Lesson 3: Draw and Construct Triangles Given Angle Measures
1. Find missing angles in triangles

Lesson 4: Draw and Analyze Shapes to Solve Problems
Lesson 4: Draw and Analyze Shapes to Solve Problems

Module 10 - Analyze Figures to Find Circumference and Area
Lesson 1: Derive and Apply Formulas for Circumference		1. Circumference of circles Also consider: • Perimeter of semicircles and quarter circles
Lesson 1: Derive and Apply Formulas for Circumference
1. Circumference of circles Also consider: • Perimeter of semicircles and quarter circles

Lesson 2: Derive and Apply a Formula for the Area of a Circle		1. Area of circles 2. Circles: word problems Also consider: • Area of semicircles and quarter circles
Lesson 2: Derive and Apply a Formula for the Area of a Circle
1. Area of circles 2. Circles: word problems Also consider: • Area of semicircles and quarter circles

Lesson 3: Describe and Analyze Cross Sections of Circular Solids
Lesson 3: Describe and Analyze Cross Sections of Circular Solids


Lesson 4: Areas of Composite Figures		1. Area of compound figures with triangles, semicircles, and quarter circles 2. Area between two shapes
Lesson 4: Areas of Composite Figures
1. Area of compound figures with triangles, semicircles, and quarter circles 2. Area between two shapes
Module 11 - Analyze Surface Area and Volume
Lesson 1: Describe and Analyze Cross Sections of Prisms and Pyramids		1. Cross sections of three-dimensional figures
Lesson 1: Describe and Analyze Cross Sections of Prisms and Pyramids
1. Cross sections of three-dimensional figures

Lesson 2: Derive and Apply Formulas for Surface Areas of Cubes and Right Prisms		1. Surface area of cubes and prisms Also consider: • Bases of three-dimensional figures • Nets of three-dimensional figures
Lesson 2: Derive and Apply Formulas for Surface Areas of Cubes and Right Prisms
1. Surface area of cubes and prisms Also consider: • Bases of three-dimensional figures • Nets of three-dimensional figures

Lesson 3: Derive and Apply Formulas for the Volume of a Right Prism		1. Relationship between volume and the area of the base: word problems 2. Volume of cubes and prisms 3. Volume of prisms: advanced
Lesson 3: Derive and Apply Formulas for the Volume of a Right Prism
1. Relationship between volume and the area of the base: word problems 2. Volume of cubes and prisms 3. Volume of prisms: advanced

Lesson 4: Solve Multi-step Problems with Surface Area and Volume		1. Volume of cubes and rectangular prisms: word problems 2. Relate between volume and surface area
Lesson 4: Solve Multi-step Problems with Surface Area and Volume
1. Volume of cubes and rectangular prisms: word problems 2. Relate between volume and surface area

5	Unit 5 Sampling and Data Analysis
Module 12 - Proportional Reasoning with Samples
Lesson 1: Understand Representative Samples		1. Populations and samples 2. Identify representative, random, and biased samples
Lesson 1: Understand Representative Samples
1. Populations and samples 2. Identify representative, random, and biased samples

Lesson 2: Make Inferences from a Random Sample
Lesson 2: Make Inferences from a Random Sample


Lesson 3: Make Inferences from Repeated Random Samples		1. Make inferences from multiple samples
Lesson 3: Make Inferences from Repeated Random Samples
1. Make inferences from multiple samples
Module 13 - Use Statistics and Graphs to Compare Data
Lesson 1: Compare Center and Spread of Data Displayed in Dot Plots		1. Compare populations using line plots Also consider: • Interpret charts and graphs to find mean, median, mode, and range
Lesson 1: Compare Center and Spread of Data Displayed in Dot Plots
1. Compare populations using line plots Also consider: • Interpret charts and graphs to find mean, median, mode, and range

Lesson 2: Compare Center and Spread of Data Displayed in Box Plots		1. Compare populations using box plots Also consider: • Box plots • Calculate quartiles and interquartile range
Lesson 2: Compare Center and Spread of Data Displayed in Box Plots
1. Compare populations using box plots Also consider: • Box plots • Calculate quartiles and interquartile range

Lesson 3: Compare Means Using Mean Absolute Deviation and Repeated Sampling		1. Calculate mean absolute deviation
Lesson 3: Compare Means Using Mean Absolute Deviation and Repeated Sampling
1. Calculate mean absolute deviation

6	Unit 6 Probability
Module 14 - Understand and Apply Experimental Probability
Lesson 1: Understand Probability of an Event		1. Certain, probable, unlikely, impossible 2. Sample spaces of simple events
Lesson 1: Understand Probability of an Event
1. Certain, probable, unlikely, impossible 2. Sample spaces of simple events

Lesson 2: Find Experimental Probability of Simple Events		1. Use collected data to find probabilities and make predictions 2. Experimental probability
Lesson 2: Find Experimental Probability of Simple Events
1. Use collected data to find probabilities and make predictions 2. Experimental probability

Lesson 3: Find Experimental Probability of Compound Events		1. Find the number of outcomes: word problems 2. Find probabilities using two-way frequency tables
Lesson 3: Find Experimental Probability of Compound Events
1. Find the number of outcomes: word problems 2. Find probabilities using two-way frequency tables

Lesson 4: Use Experimental Probability and Proportional Reasoning to Make Predictions		1. Make predictions using experimental probability
Lesson 4: Use Experimental Probability and Proportional Reasoning to Make Predictions
1. Make predictions using experimental probability
Module 15 - Understand and Apply Theoretical Probability
Lesson 1: Find Theoretical Probability of Simple Events		1. Probability of simple events
Lesson 1: Find Theoretical Probability of Simple Events
1. Probability of simple events

Lesson 2: Find Theoretical Probability of Compound Events		1. Sample spaces for compound events 2. Compound events: find the number of outcomes 3. Probability of compound events
Lesson 2: Find Theoretical Probability of Compound Events
1. Sample spaces for compound events 2. Compound events: find the number of outcomes 3. Probability of compound events

Lesson 3: Use Theoretical Probability and Proportional Reasoning to Make Predictions		1. Make predictions using theoretical probability
Lesson 3: Use Theoretical Probability and Proportional Reasoning to Make Predictions
1. Make predictions using theoretical probability

Lesson 4: Conduct Simulations		1. Which simulation represents the situation?
Lesson 4: Conduct Simulations
1. Which simulation represents the situation?

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.