IXL skill plan | 7th grade plan for Digits

Skill plan for Digits - 7th grade

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A	Unit A Ratio and Proportional Relationships
Topic 1 - Ratios and Rates
Lesson 1-1: Equivalent Ratios		1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio Also consider: • Equivalent ratios: word problems • Use tape diagrams to solve ratio word problems • Compare ratios: word problems
Lesson 1-1: Equivalent Ratios
1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio Also consider: • Equivalent ratios: word problems • Use tape diagrams to solve ratio word problems • Compare ratios: word problems

Lesson 1-2: Unit Rates		1. Unit rates 2. Unit prices 3. Compare rates: word problems
Lesson 1-2: Unit Rates
1. Unit rates 2. Unit prices 3. Compare rates: word problems

Lesson 1-3: Ratios With Fractions		1. Divide fractions 2. Divide mixed numbers
Lesson 1-3: Ratios With Fractions
1. Divide fractions 2. Divide mixed numbers

Lesson 1-4: Unit Rates with Fractions		1. Calculate unit rates with fractions
Lesson 1-4: Unit Rates with Fractions
1. Calculate unit rates with fractions

Lesson 1-5: Problem Solving
Lesson 1-5: Problem Solving

Topic 2 - Proportional Relationships
Lesson 2-1: Proportional Relationships and Tables		1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems 3. Identify proportional relationships from tables
Lesson 2-1: Proportional Relationships and Tables
1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems 3. Identify proportional relationships from tables

Lesson 2-2: Proportional Relationships and Graphs		1. Identify proportional relationships by graphing 2. Identify proportional relationships from graphs and equations 3. Interpret graphs of proportional relationships Also consider: • Complete a table and graph a proportional relationship
Lesson 2-2: Proportional Relationships and Graphs
1. Identify proportional relationships by graphing 2. Identify proportional relationships from graphs and equations 3. Interpret graphs of proportional relationships Also consider: • Complete a table and graph a proportional relationship

Lesson 2-3: Constant of Proportionality		1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph
Lesson 2-3: Constant of Proportionality
1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph

Lesson 2-4: Proportional Relationships and Equations		1. Write and solve equations for proportional relationships 2. Write equations for proportional relationships from tables 3. Solve proportions Also consider: • Solve proportions: word problems
Lesson 2-4: Proportional Relationships and Equations
1. Write and solve equations for proportional relationships 2. Write equations for proportional relationships from tables 3. Solve proportions Also consider: • Solve proportions: word problems

Lesson 2-5: Maps and Scale Drawings		1. Scale drawings: scale factor word problems 2. Scale drawings: word problems 3. Perimeter and area: changes in scale
Lesson 2-5: Maps and Scale Drawings
1. Scale drawings: scale factor word problems 2. Scale drawings: word problems 3. Perimeter and area: changes in scale

Lesson 2-6: Problem Solving
Lesson 2-6: Problem Solving

Topic 3 - Percents
Lesson 3-1: The Percent Equation		1. Solve percent equations 2. Solve percent equations: word problems Also consider: • Solve percent problems using strip models • Percents of numbers and money amounts
Lesson 3-1: The Percent Equation
1. Solve percent equations 2. Solve percent equations: word problems Also consider: • Solve percent problems using strip models • Percents of numbers and money amounts

Lesson 3-2: Using the Percent Equation		1. Tax, tips, and commission
Lesson 3-2: Using the Percent Equation
1. Tax, tips, and commission

Lesson 3-3: Simple Interest		1. Simple interest
Lesson 3-3: Simple Interest
1. Simple interest

Lesson 3-4: Compound Interest		1. Compound interest
Lesson 3-4: Compound Interest
1. Compound interest

Lesson 3-5: Percent Increase and Decrease		1. Percent of change 2. Find the percent of change: word problems
Lesson 3-5: Percent Increase and Decrease
1. Percent of change 2. Find the percent of change: word problems

Lesson 3-6: Markups and Markdowns		1. Find the percent: markups and sales 2. Markups and sales Also consider: • Which is the better coupon?
Lesson 3-6: Markups and Markdowns
1. Find the percent: markups and sales 2. Markups and sales Also consider: • Which is the better coupon?

Lesson 3-7: Problem Solving		1. Multi-step problems with percents
Lesson 3-7: Problem Solving
1. Multi-step problems with percents

B	Unit B Rational Numbers
Topic 4 - Adding and Subtracting Rational Numbers
Lesson 4-1: Rational Numbers, Opposites, and Absolute Value		1. Classify rational numbers using a diagram 2. Classify rational numbers 3. Absolute value and opposite integers 4. Absolute value of rational numbers Also consider: • Understanding absolute value • Rational numbers: find the sign • Compare rational numbers • Put rational numbers in order
Lesson 4-1: Rational Numbers, Opposites, and Absolute Value
1. Classify rational numbers using a diagram 2. Classify rational numbers 3. Absolute value and opposite integers 4. Absolute value of rational numbers Also consider: • Understanding absolute value • Rational numbers: find the sign • Compare rational numbers • Put rational numbers in order

Lesson 4-2: Adding Integers		1. Add integers using number lines 2. Add integers using counters 3. Add integers Also consider: • Integer addition rules • Quantities that combine to zero: word problems
Lesson 4-2: Adding Integers
1. Add integers using number lines 2. Add integers using counters 3. Add integers Also consider: • Integer addition rules • Quantities that combine to zero: word problems

Lesson 4-3: Adding Rational Numbers		1. Add rational numbers
Lesson 4-3: Adding Rational Numbers
1. Add rational numbers

Lesson 4-4: Subtracting Integers		1. Subtract integers using number lines 2. Integer subtraction rules 3. Subtract integers Also consider: • Add and subtract integers
Lesson 4-4: Subtracting Integers
1. Subtract integers using number lines 2. Integer subtraction rules 3. Subtract integers Also consider: • Add and subtract integers

Lesson 4-5: Subtracting Rational Numbers		1. Subtract rational numbers Also consider: • Apply addition and subtraction rules • Add and subtract rational numbers
Lesson 4-5: Subtracting Rational Numbers
1. Subtract rational numbers Also consider: • Apply addition and subtraction rules • Add and subtract rational numbers

Lesson 4-6: Distance on a Number Line
Lesson 4-6: Distance on a Number Line


Lesson 4-7: Problem Solving		1. Add and subtract integers: word problems 2. Complete addition and subtraction equations with integers
Lesson 4-7: Problem Solving
1. Add and subtract integers: word problems 2. Complete addition and subtraction equations with integers
Topic 5 - Multiplying and Dividing Rational Numbers
Lesson 5-1: Multiplying Integers		1. Understand multiplying by a negative integer using a number line 2. Integer multiplication rules 3. Multiply integers
Lesson 5-1: Multiplying Integers
1. Understand multiplying by a negative integer using a number line 2. Integer multiplication rules 3. Multiply integers

Lesson 5-2: Multiplying Rational Numbers		1. Multiply rational numbers
Lesson 5-2: Multiplying Rational Numbers
1. Multiply rational numbers

Lesson 5-3: Dividing Integers		1. Integer division rules 2. Divide integers 3. Equal quotients of integers Also consider: • Complete multiplication and division equations with integers • Add, subtract, multiply, and divide integers
Lesson 5-3: Dividing Integers
1. Integer division rules 2. Divide integers 3. Equal quotients of integers Also consider: • Complete multiplication and division equations with integers • Add, subtract, multiply, and divide integers

Lesson 5-4: Dividing Rational Numbers		1. Reciprocals 2. Divide positive and negative fractions 3. Divide rational numbers 4. Identify quotients of rational numbers: word problems Also consider: • Divide positive and negative decimals • Apply multiplication and division rules • Multiply and divide rational numbers
Lesson 5-4: Dividing Rational Numbers
1. Reciprocals 2. Divide positive and negative fractions 3. Divide rational numbers 4. Identify quotients of rational numbers: word problems Also consider: • Divide positive and negative decimals • Apply multiplication and division rules • Multiply and divide rational numbers

Lesson 5-5: Operations with Rational Numbers		1. Evaluate numerical expressions involving rational numbers 2. Simplify complex fractions 3. Celsius and Fahrenheit temperatures
Lesson 5-5: Operations with Rational Numbers
1. Evaluate numerical expressions involving rational numbers 2. Simplify complex fractions 3. Celsius and Fahrenheit temperatures

Lesson 5-6: Problem Solving		1. Multi-step word problems with positive rational numbers
Lesson 5-6: Problem Solving
1. Multi-step word problems with positive rational numbers
Topic 6 - Decimals and Percent
Lesson 6-1: Repeating Decimals		1. Convert fractions or mixed numbers to repeating decimals
Lesson 6-1: Repeating Decimals
1. Convert fractions or mixed numbers to repeating decimals

Lesson 6-2: Terminating Decimals		1. Convert fractions or mixed numbers to terminating decimals
Lesson 6-2: Terminating Decimals
1. Convert fractions or mixed numbers to terminating decimals

Lesson 6-3: Percents Greater Than 100		1. Percent of increase: word problems
Lesson 6-3: Percents Greater Than 100
1. Percent of increase: word problems

Lesson 6-4: Percents Less Than 1
Lesson 6-4: Percents Less Than 1


Lesson 6-5: Fractions, Decimals, and Percents		1. Convert between percents, fractions, and decimals 2. Convert between percents, fractions, and decimals: word problems
Lesson 6-5: Fractions, Decimals, and Percents
1. Convert between percents, fractions, and decimals 2. Convert between percents, fractions, and decimals: word problems

Lesson 6-6: Percent Error		1. Percent error: word problems
Lesson 6-6: Percent Error
1. Percent error: word problems

Lesson 6-7: Problem Solving		1. Percent of a number: tax, discount, and more
Lesson 6-7: Problem Solving
1. Percent of a number: tax, discount, and more

C	Unit C Expressions and Equations
Topic 7 - Equivalent Expressions
Lesson 7-1: Expanding Algebraic Expressions		1. Multiply using the distributive property 2. Identify equivalent expressions using the distributive property Also consider: • Multiply using the distributive property: area models • Write equivalent expressions using properties
Lesson 7-1: Expanding Algebraic Expressions
1. Multiply using the distributive property 2. Identify equivalent expressions using the distributive property Also consider: • Multiply using the distributive property: area models • Write equivalent expressions using properties

Lesson 7.2: Factoring Algebraic Expressions		1. Factors of linear expressions 2. Simplify expressions by combining like terms Also consider: • Greatest common factor • Factor linear expressions: area models
Lesson 7.2: Factoring Algebraic Expressions
1. Factors of linear expressions 2. Simplify expressions by combining like terms Also consider: • Greatest common factor • Factor linear expressions: area models

Lesson 7-3: Adding Algebraic Expressions		1. Identify terms and coefficients 2. Add expressions
Lesson 7-3: Adding Algebraic Expressions
1. Identify terms and coefficients 2. Add expressions

Lesson 7-4: Subtracting Algebraic Expressions		1. Subtract expressions Also consider: • Add and subtract linear expressions • Simplify linear expressions
Lesson 7-4: Subtracting Algebraic Expressions
1. Subtract expressions Also consider: • Add and subtract linear expressions • Simplify linear expressions

Lesson 7-5: Problem Solving		1. Identify equivalent linear expressions: word problems 2. Add polynomials to find perimeter of rectangles
Lesson 7-5: Problem Solving
1. Identify equivalent linear expressions: word problems 2. Add polynomials to find perimeter of rectangles
Topic 8 - Equations
Lesson 8-1: Solving Simple Equations		1. Model and solve one-step equations using algebra tiles 2. Solve one-step equations 3. Solve one-step equations with decimals and fractions
Lesson 8-1: Solving Simple Equations
1. Model and solve one-step equations using algebra tiles 2. Solve one-step equations 3. Solve one-step equations with decimals and fractions

Lesson 8-2: Writing Two-Step Equations		1. Choose one-step equations: word problems 2. Choose two-step equations: word problems 3. Write an equation from words
Lesson 8-2: Writing Two-Step Equations
1. Choose one-step equations: word problems 2. Choose two-step equations: word problems 3. Write an equation from words

Lesson 8-3: Solving Two-Step Equations		1. Solve two-step equations using algebra tiles 2. Solve two-step equations without parentheses 3. Solve equations of the form px + q = r with fractions
Lesson 8-3: Solving Two-Step Equations
1. Solve two-step equations using algebra tiles 2. Solve two-step equations without parentheses 3. Solve equations of the form px + q = r with fractions

Lesson 8-4: Solving Equations Using the Distributive Property		1. Solve two-step equations with parentheses 2. Solve equations of the form p(x + q) = r with fractions Also consider: • Solve two-step equations: word problems
Lesson 8-4: Solving Equations Using the Distributive Property
1. Solve two-step equations with parentheses 2. Solve equations of the form p(x + q) = r with fractions Also consider: • Solve two-step equations: word problems

Lesson 8-5: Problem Solving		1. Write and solve equations that represent diagrams
Lesson 8-5: Problem Solving
1. Write and solve equations that represent diagrams
Topic 9 - Inequalities
Lesson 9-1: Solving Simple Inequalities		1. Solve one-step addition and subtraction inequalities 2. Solve and graph one-step addition and subtraction inequalities 3. Solve one-step addition and subtraction inequalities: word problems Also consider: • Graph inequalities on number lines • Write inequalities from number lines • Solutions to inequalities • Write and graph inequalities: word problems
Lesson 9-1: Solving Simple Inequalities
1. Solve one-step addition and subtraction inequalities 2. Solve and graph one-step addition and subtraction inequalities 3. Solve one-step addition and subtraction inequalities: word problems Also consider: • Graph inequalities on number lines • Write inequalities from number lines • Solutions to inequalities • Write and graph inequalities: word problems

Lesson 9-2: Solving Inequalities Using Multiplication or Division		1. Solve one-step multiplication and division inequalities 2. Solve and graph one-step multiplication and division inequalities 3. One-step multiplication and division inequalities: word problems Also consider: • Solve one-step inequalities • Graph solutions to one-step inequalities
Lesson 9-2: Solving Inequalities Using Multiplication or Division
1. Solve one-step multiplication and division inequalities 2. Solve and graph one-step multiplication and division inequalities 3. One-step multiplication and division inequalities: word problems Also consider: • Solve one-step inequalities • Graph solutions to one-step inequalities

Lesson 9-3: Solving Two-Step Inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 9-3: Solving Two-Step Inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Lesson 9-4: Solving Multi-Step Inequalities		1. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities
Lesson 9-4: Solving Multi-Step Inequalities
1. Solve multi-step inequalities 2. Graph solutions to multi-step inequalities

Lesson 9-5: Problem Solving
Lesson 9-5: Problem Solving

D	Unit D Geometry
Topic 10 - Angles
Lesson 10-1: Measuring Angles		1. Name, measure, and classify angles
Lesson 10-1: Measuring Angles
1. Name, measure, and classify angles

Lesson 10-2: Adjacent Angles Lesson 10-3: Complementary Angles Lesson 10-4: Supplementary Angles Lesson 10-5: Vertical Angles		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of angles: one-step problems 3. Find measures of angles: multi-step problems Also consider: • Identify complementary and supplementary angles • Find measures of complementary and supplementary angles
Lesson 10-2: Adjacent Angles Lesson 10-3: Complementary Angles Lesson 10-4: Supplementary Angles Lesson 10-5: Vertical Angles
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of angles: one-step problems 3. Find measures of angles: multi-step problems Also consider: • Identify complementary and supplementary angles • Find measures of complementary and supplementary angles

Lesson 10-6: Problem Solving		1. Write and solve equations using angle relationships
Lesson 10-6: Problem Solving
1. Write and solve equations using angle relationships
Topic 11 - Circles
Lesson 11-1: Center, Radius, and Diameter		1. Center, radius, and diameter of a circle Also consider: • Parts of a circle
Lesson 11-1: Center, Radius, and Diameter
1. Center, radius, and diameter of a circle Also consider: • Parts of a circle

Lesson 11-2: Circumference of a Circle		1. Circumference of circles
Lesson 11-2: Circumference of a Circle
1. Circumference of circles

Lesson 11-3: Area of a Circle		1. Area of circles 2. Circles: word problems
Lesson 11-3: Area of a Circle
1. Area of circles 2. Circles: word problems

Lesson 11-4: Relating Circumference and Area of a Circle		1. Find the area of a circle given the circumference
Lesson 11-4: Relating Circumference and Area of a Circle
1. Find the area of a circle given the circumference

Lesson 11-5: Problem Solving		1. Semicircles: calculate area, perimeter, radius, and diameter 2. Area of complex figures involving circles Also consider: • Quarter circles: calculate area, perimeter, and radius
Lesson 11-5: Problem Solving
1. Semicircles: calculate area, perimeter, radius, and diameter 2. Area of complex figures involving circles Also consider: • Quarter circles: calculate area, perimeter, and radius
Topic 12 - 2- and 3-Dimensional Shapes
Lesson 12-1: Geometry Drawing Tools		1. Draw quadrilaterals
Lesson 12-1: Geometry Drawing Tools
1. Draw quadrilaterals

Lesson 12-2: Drawing Triangles with Given Conditions 1 Lesson 12-3: Drawing Triangles with Given Conditions 2		1. Triangle inequality
Lesson 12-2: Drawing Triangles with Given Conditions 1 Lesson 12-3: Drawing Triangles with Given Conditions 2
1. Triangle inequality

Lesson 12-4: 2-D Slices of Right Rectangular Prisms Lesson 12-5: 2-D Slices of Right Rectangular Pyramids		1. Cross sections of three-dimensional figures
Lesson 12-4: 2-D Slices of Right Rectangular Prisms Lesson 12-5: 2-D Slices of Right Rectangular Pyramids
1. Cross sections of three-dimensional figures

Lesson 12-6: Problem Solving
Lesson 12-6: Problem Solving

Topic 13 - Surface Area and Volume
Lesson 13-1: Surface Areas of Right Prisms		1. Surface area of cubes and prisms 2. Lateral area of prisms Also consider: • Nets of three-dimensional figures
Lesson 13-1: Surface Areas of Right Prisms
1. Surface area of cubes and prisms 2. Lateral area of prisms Also consider: • Nets of three-dimensional figures

Lesson 13-2: Volumes of Right Prisms		1. Volume of cubes and prisms
Lesson 13-2: Volumes of Right Prisms
1. Volume of cubes and prisms

Lesson 13-3: Surface Areas of Right Pyramids		1. Surface area of pyramids 2. Lateral area of pyramids
Lesson 13-3: Surface Areas of Right Pyramids
1. Surface area of pyramids 2. Lateral area of pyramids

Lesson 13-4: Volumes of Right Pyramids		1. Volume of pyramids
Lesson 13-4: Volumes of Right Pyramids
1. Volume of pyramids

Lesson 13-5: Problem Solving		1. Volume of prisms: advanced
Lesson 13-5: Problem Solving
1. Volume of prisms: advanced

E	Unit E Statistics
Topic 14 - Sampling
Lesson 14-1: Populations and Samples		1. Populations and samples
Lesson 14-1: Populations and Samples
1. Populations and samples

Lesson 14-2: Estimating a Population		1. Estimate population size using proportions
Lesson 14-2: Estimating a Population
1. Estimate population size using proportions

Lesson 14-3: Convenience Sampling
Lesson 14-3: Convenience Sampling


Lesson 14-4: Systematic Sampling
Lesson 14-4: Systematic Sampling


Lesson 14-5: Simple Random Sampling		1. Identify representative, random, and biased samples
Lesson 14-5: Simple Random Sampling
1. Identify representative, random, and biased samples

Lesson 14-6: Comparing Sampling Methods
Lesson 14-6: Comparing Sampling Methods


Lesson 14-7: Problem Solving
Lesson 14-7: Problem Solving

Topic 15 - Comparing Two Populations
Lesson 15-1: Statistical Operations		1. Calculate mean and median 2. Calculate range, quartiles, and interquartile range
Lesson 15-1: Statistical Operations
1. Calculate mean and median 2. Calculate range, quartiles, and interquartile range

Lesson 15-2: Multiple Populations and Inferences		1. Interpret line plots
Lesson 15-2: Multiple Populations and Inferences
1. Interpret line plots

Lesson 15-3: Using Measures of Center Lesson 15-4: Using Measures of Variability		1. Box plots 2. Interpret median and interquartile range Also consider: • Interpret histograms • Interpret mean and mean absolute deviation
Lesson 15-3: Using Measures of Center Lesson 15-4: Using Measures of Variability
1. Box plots 2. Interpret median and interquartile range Also consider: • Interpret histograms • Interpret mean and mean absolute deviation

Lesson 15-5: Exploring Overlap in Data Sets		1. Calculate mean absolute deviation 2. Compare populations using measures of center and spread
Lesson 15-5: Exploring Overlap in Data Sets
1. Calculate mean absolute deviation 2. Compare populations using measures of center and spread

Lesson 15-6: Problem Solving
Lesson 15-6: Problem Solving

F	Unit F Probability
Topic 16 - Probability Concepts
Lesson 16-1: Likelihood and Probability		1. More, less, and equally likely
Lesson 16-1: Likelihood and Probability
1. More, less, and equally likely

Lesson 16-2: Sample Space		1. Sample spaces of simple events
Lesson 16-2: Sample Space
1. Sample spaces of simple events

Lesson 16-3: Relative Frequency and Experimental Probability		1. Experimental probability 2. Use collected data to find probabilities and make predictions Also consider: • Create relative frequency tables • Make predictions using experimental probability
Lesson 16-3: Relative Frequency and Experimental Probability
1. Experimental probability 2. Use collected data to find probabilities and make predictions Also consider: • Create relative frequency tables • Make predictions using experimental probability

Lesson 16-4: Theoretical Probability		1. Probability of simple events 2. Make predictions using theoretical probability
Lesson 16-4: Theoretical Probability
1. Probability of simple events 2. Make predictions using theoretical probability

Lesson 16-5: Probability Models		1. Probability of simple events and opposite events
Lesson 16-5: Probability Models
1. Probability of simple events and opposite events

Lesson 16-6: Problem Solving
Lesson 16-6: Problem Solving

Topic 17 - Compound Events
Lesson 17-1: Compound Events		1. Identify independent and dependent events
Lesson 17-1: Compound Events
1. Identify independent and dependent events

Lesson 17-2: Sample Spaces		1. Compound events: find the number of outcomes
Lesson 17-2: Sample Spaces
1. Compound events: find the number of outcomes

Lesson 17-3: Counting Outcomes		1. Find the number of outcomes: word problems 2. Compound events: find the number of sums
Lesson 17-3: Counting Outcomes
1. Find the number of outcomes: word problems 2. Compound events: find the number of sums

Lesson 17-4: Finding Theoretical Probabilities		1. Sample spaces for compound events 2. Probability of compound events
Lesson 17-4: Finding Theoretical Probabilities
1. Sample spaces for compound events 2. Probability of compound events

Lesson 17-5: Simulation with Random Numbers Lesson 17-6: Finding Probabilities Using Simulation		1. Which simulation represents the situation?
Lesson 17-5: Simulation with Random Numbers Lesson 17-6: Finding Probabilities Using Simulation
1. Which simulation represents the situation?

Lesson 17-7: Problem Solving
Lesson 17-7: Problem Solving

This document includes the IXL® skill alignments to Pearson's Digits 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 Pearson 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.