IXL skill plan | Grade 6 plan for Into Math

Skill plan for Into Math - Grade 6

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1	Unit 1 Number Systems and Operations
Module 1 - Integer Concepts
Lesson 1: Identify and Interpret Integers		1. Understanding integers 2. Integers on number lines 3. Understanding opposite integers Also consider: • Graph integers on horizontal and vertical number lines
Lesson 1: Identify and Interpret Integers
1. Understanding integers 2. Integers on number lines 3. Understanding opposite integers Also consider: • Graph integers on horizontal and vertical number lines

Lesson 2: Compare and Order Integers on the Number Line		1. Compare integers 2. Put integers in order
Lesson 2: Compare and Order Integers on the Number Line
1. Compare integers 2. Put integers in order

Lesson 3: Find and Apply Absolute Value		1. Understanding absolute value 2. Absolute value 3. Absolute value and integers: word problems Also consider: • Integer inequalities with absolute values
Lesson 3: Find and Apply Absolute Value
1. Understanding absolute value 2. Absolute value 3. Absolute value and integers: word problems Also consider: • Integer inequalities with absolute values
Module 2 - Rational Number Concepts
Lesson 1: Interpret Rational Numbers		1. Rational numbers on number lines 2. Opposites of rational numbers 3. Absolute value of rational numbers
Lesson 1: Interpret Rational Numbers
1. Rational numbers on number lines 2. Opposites of rational numbers 3. Absolute value of rational numbers

Lesson 2: Compare Rational Numbers on a Number Line		1. Compare rational numbers Also consider: • Convert between decimals and fractions • Rational numbers: equal or not equal
Lesson 2: Compare Rational Numbers on a Number Line
1. Compare rational numbers Also consider: • Convert between decimals and fractions • Rational numbers: equal or not equal

Lesson 3: Find and Apply LCM and GCF		1. Least common multiple 2. Greatest common factor of two or three numbers 3. GCF and LCM: word problems Also consider: • Compare fractions with unlike denominators • Factor numerical expressions using the distributive property
Lesson 3: Find and Apply LCM and GCF
1. Least common multiple 2. Greatest common factor of two or three numbers 3. GCF and LCM: word problems Also consider: • Compare fractions with unlike denominators • Factor numerical expressions using the distributive property

Lesson 4: Order Rational Numbers		1. Put rational numbers in order 2. Compare and order rational numbers: word problems
Lesson 4: Order Rational Numbers
1. Put rational numbers in order 2. Compare and order rational numbers: word problems
Module 3 - Fraction Division
Lesson 1: Understand Fraction Division		1. Divide fractions using models
Lesson 1: Understand Fraction Division
1. Divide fractions using models

Lesson 2: Explore Division of Fractions with Unlike Denominators		1. Reciprocals 2. Divide fractions Also consider: • Divide whole numbers by fractions using models • Divide whole numbers by fractions
Lesson 2: Explore Division of Fractions with Unlike Denominators
1. Reciprocals 2. Divide fractions Also consider: • Divide whole numbers by fractions using models • Divide whole numbers by fractions

Lesson 3: Explore Division of Mixed Numbers		1. Divide fractions and mixed numbers using models: word problems 2. Divide fractions and mixed numbers Also consider: • Estimate quotients when dividing mixed numbers
Lesson 3: Explore Division of Mixed Numbers
1. Divide fractions and mixed numbers using models: word problems 2. Divide fractions and mixed numbers Also consider: • Estimate quotients when dividing mixed numbers

Lesson 4: Practice and Apply Division of Fractions and Mixed Numbers		1. Divide fractions and mixed numbers: word problems
Lesson 4: Practice and Apply Division of Fractions and Mixed Numbers
1. Divide fractions and mixed numbers: word problems

Lesson 5: Practice Fraction Operations		1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Lesson 5: Practice Fraction Operations
1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Module 4 - Fluency with Multi-Digit Decimal Operations
Lesson 1: Add and Subtract Multi-Digit Decimals		1. Add and subtract decimals 2. Add and subtract decimals: word problems Also consider: • Complete the decimal addition or subtraction sentence • Estimate sums and differences of decimals
Lesson 1: Add and Subtract Multi-Digit Decimals
1. Add and subtract decimals 2. Add and subtract decimals: word problems Also consider: • Complete the decimal addition or subtraction sentence • Estimate sums and differences of decimals

Lesson 2: Multiply Multi-Digit Decimals		1. Multiply decimals using grids 2. Multiply decimals Also consider: • Multiply two decimals: where does the decimal point go? • Estimate products of decimal numbers
Lesson 2: Multiply Multi-Digit Decimals
1. Multiply decimals using grids 2. Multiply decimals Also consider: • Multiply two decimals: where does the decimal point go? • Estimate products of decimal numbers

Lesson 3: Divide Multi-Digit Whole Numbers		1. Divide whole numbers - 2-digit and 3-digit divisors Also consider: • Divide whole numbers: word problems • Estimate quotients
Lesson 3: Divide Multi-Digit Whole Numbers
1. Divide whole numbers - 2-digit and 3-digit divisors Also consider: • Divide whole numbers: word problems • Estimate quotients

Lesson 4: Divide Multi-Digit Decimals		1. Division with decimal divisors Also consider: • Multiply and divide decimals: word problems • Estimate decimal quotients
Lesson 4: Divide Multi-Digit Decimals
1. Division with decimal divisors Also consider: • Multiply and divide decimals: word problems • Estimate decimal quotients

Lesson 5: Apply Operations with Multi-Digit Decimals		1. Add, subtract, multiply, or divide two decimals 2. Add, subtract, multiply, or divide two decimals: word problems
Lesson 5: Apply Operations with Multi-Digit Decimals
1. Add, subtract, multiply, or divide two decimals 2. Add, subtract, multiply, or divide two decimals: word problems

2	Unit 2 Ratio and Rate Reasoning
Module 5 - Ratios and Rates
Lesson 1: Understand the Concept and Language of Ratios		1. Write a ratio 2. Write a ratio: word problems 3. Which model represents the ratio?
Lesson 1: Understand the Concept and Language of Ratios
1. Write a ratio 2. Write a ratio: word problems 3. Which model represents the ratio?

Lesson 2: Represent Ratios and Rates with Tables and Graphs		1. Ratio tables 2. Ratios and rates: complete a table and make a graph Also consider: • Identify equivalent ratios • Equivalent ratios: word problems
Lesson 2: Represent Ratios and Rates with Tables and Graphs
1. Ratio tables 2. Ratios and rates: complete a table and make a graph Also consider: • Identify equivalent ratios • Equivalent ratios: word problems

Lesson 3: Compare Ratios and Rates		1. Compare ratios: word problems 2. Compare rates: word problems
Lesson 3: Compare Ratios and Rates
1. Compare ratios: word problems 2. Compare rates: word problems

Lesson 4: Find and Apply Unit Rates		1. Unit rates 2. Calculate unit rates with fractions 3. Rates: word problems
Lesson 4: Find and Apply Unit Rates
1. Unit rates 2. Calculate unit rates with fractions 3. Rates: word problems

Lesson 5: Solve Ratio and Rate Problems Using Proportional Reasoning		1. Use tape diagrams to solve ratio word problems 2. Ratios and rates: word problems Also consider: • Write an equivalent ratio
Lesson 5: Solve Ratio and Rate Problems Using Proportional Reasoning
1. Use tape diagrams to solve ratio word problems 2. Ratios and rates: word problems Also consider: • Write an equivalent ratio
Module 6 - Apply Ratios and Rates to Measurement
Lesson 1: Use Ratio Reasoning with Circle Graphs		1. Interpret circle graphs 2. Use fractions to find the measure of an angle
Lesson 1: Use Ratio Reasoning with Circle Graphs
1. Interpret circle graphs 2. Use fractions to find the measure of an angle

Lesson 2: Use Rate Reasoning to Convert Within Measurement Systems		1. Convert and compare customary units 2. Customary unit conversions involving fractions and mixed numbers 3. Convert and compare metric units
Lesson 2: Use Rate Reasoning to Convert Within Measurement Systems
1. Convert and compare customary units 2. Customary unit conversions involving fractions and mixed numbers 3. Convert and compare metric units

Lesson 3: Use Rate Reasoning to Convert Between Measurement Systems		1. Convert between customary and metric systems
Lesson 3: Use Rate Reasoning to Convert Between Measurement Systems
1. Convert between customary and metric systems
Module 7 - Understand and Apply Percent
Lesson 1: Understand, Express, and Compare Percent Ratios		1. Convert fractions to percents using grid models 2. Convert between percents, fractions, and decimals 3. Find what percent one number is of another Also consider: • Convert between percents, fractions, and decimals: word problems • Find what percent one number is of another: word problems • What percentage is illustrated?
Lesson 1: Understand, Express, and Compare Percent Ratios
1. Convert fractions to percents using grid models 2. Convert between percents, fractions, and decimals 3. Find what percent one number is of another Also consider: • Convert between percents, fractions, and decimals: word problems • Find what percent one number is of another: word problems • What percentage is illustrated?

Lesson 2: Use Strategies to Find a Percent of a Quantity		1. Percents of numbers and money amounts 2. Percents of numbers: word problems
Lesson 2: Use Strategies to Find a Percent of a Quantity
1. Percents of numbers and money amounts 2. Percents of numbers: word problems

Lesson 3: Solve a Variety of Percent Problems		1. Solve percent problems using strip models 2. Solve percent problems 3. Solve percent word problems
Lesson 3: Solve a Variety of Percent Problems
1. Solve percent problems using strip models 2. Solve percent problems 3. Solve percent word problems

3	Unit 3 Expressions, Equations, and Inequalities
Module 8 - Numerical and Algebraic Expressions
Lesson 1: Understand and Apply Exponents		1. Understanding exponents 2. Write multiplication expressions using exponents 3. Evaluate powers Also consider: • Find the missing exponent or base
Lesson 1: Understand and Apply Exponents
1. Understanding exponents 2. Write multiplication expressions using exponents 3. Evaluate powers Also consider: • Find the missing exponent or base

Lesson 2: Write and Evaluate Numerical Expressions for Situations		1. Write numerical expressions 2. Write numerical expressions for word problems 3. Evaluate numerical expressions involving whole numbers
Lesson 2: Write and Evaluate Numerical Expressions for Situations
1. Write numerical expressions 2. Write numerical expressions for word problems 3. Evaluate numerical expressions involving whole numbers

Lesson 3: Write Algebraic Expressions to Model Situations		1. Write variable expressions 2. Write variable expressions: word problems 3. Identify terms and coefficients
Lesson 3: Write Algebraic Expressions to Model Situations
1. Write variable expressions 2. Write variable expressions: word problems 3. Identify terms and coefficients

Lesson 4: Interpret and Evaluate Algebraic Expressions		1. Evaluate variable expressions 2. Evaluate variable expressions: word problems
Lesson 4: Interpret and Evaluate Algebraic Expressions
1. Evaluate variable expressions 2. Evaluate variable expressions: word problems

Lesson 5: Identify and Generate Equivalent Algebraic Expressions		1. Write equivalent expressions using properties 2. Identify equivalent expressions I 3. Identify equivalent expressions II Also consider: • Add and subtract like terms • Multiply using the distributive property • Factor variable expressions using the distributive property
Lesson 5: Identify and Generate Equivalent Algebraic Expressions
1. Write equivalent expressions using properties 2. Identify equivalent expressions I 3. Identify equivalent expressions II Also consider: • Add and subtract like terms • Multiply using the distributive property • Factor variable expressions using the distributive property
Module 9 - Solve Problems Using Equations and Inequalities
Lesson 1: Write Equations to Represent Situations		1. Write a one-step equation: word problems 2. Does x satisfy an equation? Also consider: • Which word problem matches the one-step equation? • Which x satisfies an equation?
Lesson 1: Write Equations to Represent Situations
1. Write a one-step equation: word problems 2. Does x satisfy an equation? Also consider: • Which word problem matches the one-step equation? • Which x satisfies an equation?

Lesson 2: Use Addition and Subtraction Equations to Solve Problems		1. Solve one-step addition and subtraction equations with whole numbers 2. Solve one-step addition and subtraction equations: word problems Also consider: • Model and solve addition equations using algebra tiles • Solve one-step addition and subtraction equations with decimals and fractions
Lesson 2: Use Addition and Subtraction Equations to Solve Problems
1. Solve one-step addition and subtraction equations with whole numbers 2. Solve one-step addition and subtraction equations: word problems Also consider: • Model and solve addition equations using algebra tiles • Solve one-step addition and subtraction equations with decimals and fractions

Lesson 3: Use Multiplication and Division Equations to Solve Problems		1. Solve one-step multiplication and division equations with whole numbers 2. Solve one-step multiplication and division equations: word problems Also consider: • Model and solve multiplication equations using algebra tiles • Solve one-step multiplication and division equations with decimals and fractions
Lesson 3: Use Multiplication and Division Equations to Solve Problems
1. Solve one-step multiplication and division equations with whole numbers 2. Solve one-step multiplication and division equations: word problems Also consider: • Model and solve multiplication equations using algebra tiles • Solve one-step multiplication and division equations with decimals and fractions

Lesson 4: Use One-Step Equations to Solve a Variety of Problems		1. Solve one-step equations with whole numbers 2. Solve one-step equations: word problems 3. Find measures of complementary, supplementary, and adjacent angles
Lesson 4: Use One-Step Equations to Solve a Variety of Problems
1. Solve one-step equations with whole numbers 2. Solve one-step equations: word problems 3. Find measures of complementary, supplementary, and adjacent angles

Lesson 5: Write and Graph Inequalities		1. Solutions to inequalities 2. Graph inequalities on number lines 3. Write and graph inequalities: word problems Also consider: • Write inequalities from number lines
Lesson 5: Write and Graph Inequalities
1. Solutions to inequalities 2. Graph inequalities on number lines 3. Write and graph inequalities: word problems Also consider: • Write inequalities from number lines
Module 10 - Real-World Relationships Between Variables
Lesson 1: Represent Equations in Tables and Graphs		1. Identify independent and dependent variables in tables and graphs 2. Complete a table for a two-variable relationship
Lesson 1: Represent Equations in Tables and Graphs
1. Identify independent and dependent variables in tables and graphs 2. Complete a table for a two-variable relationship

Lesson 2: Write Equations from Verbal Descriptions		1. Identify independent and dependent variables: word problems 2. Write a two-variable equation 3. Find a value using two-variable equations: word problems Also consider: • Relationships between two variables: word problems
Lesson 2: Write Equations from Verbal Descriptions
1. Identify independent and dependent variables: word problems 2. Write a two-variable equation 3. Find a value using two-variable equations: word problems Also consider: • Relationships between two variables: word problems

Lesson 3: Write Equations from Tables and Graphs		1. Write a two-variable equation from a table 2. Write an equation from a graph using a table Also consider: • Complete a table and graph a two-variable equation • Graph a relationship between two variables
Lesson 3: Write Equations from Tables and Graphs
1. Write a two-variable equation from a table 2. Write an equation from a graph using a table Also consider: • Complete a table and graph a two-variable equation • Graph a relationship between two variables

4	Unit 4 Relationships in Geometry
Module 11 - Polygons on the Coordinate Plane
Lesson 1: Graph Rational Numbers on the Coordinate Plane		1. Objects on a coordinate plane 2. Graph points on a coordinate plane 3. Quadrants Also consider: • Follow directions on a coordinate plane
Lesson 1: Graph Rational Numbers on the Coordinate Plane
1. Objects on a coordinate plane 2. Graph points on a coordinate plane 3. Quadrants Also consider: • Follow directions on a coordinate plane

Lesson 2: Graph Polygons on the Coordinate Plane		1. Is it a polygon? 2. Graph triangles and quadrilaterals
Lesson 2: Graph Polygons on the Coordinate Plane
1. Is it a polygon? 2. Graph triangles and quadrilaterals

Lesson 3: Find Distance on the Coordinate Plane		1. Reflect a point over an axis 2. Distance between two points Also consider: • Distances on coordinate planes as maps
Lesson 3: Find Distance on the Coordinate Plane
1. Reflect a point over an axis 2. Distance between two points Also consider: • Distances on coordinate planes as maps

Lesson 4: Find Perimeter and Area on the Coordinate Plane		1. Area and perimeter of squares and rectangles on the coordinate plane
Lesson 4: Find Perimeter and Area on the Coordinate Plane
1. Area and perimeter of squares and rectangles on the coordinate plane
Module 12 - Area of Triangles and Special Quadrilaterals
Lesson 1: Develop and Use the Formula for Area of Parallelograms		1. Understanding area of a parallelogram 2. Area of parallelograms
Lesson 1: Develop and Use the Formula for Area of Parallelograms
1. Understanding area of a parallelogram 2. Area of parallelograms

Lesson 2: Develop and Use the Formula for Area of Triangles		1. Understanding area of a triangle 2. Area of triangles
Lesson 2: Develop and Use the Formula for Area of Triangles
1. Understanding area of a triangle 2. Area of triangles

Lesson 3: Develop and Use the Formula for Area of Trapezoids		1. Understanding area of a trapezoid 2. Area of trapezoids
Lesson 3: Develop and Use the Formula for Area of Trapezoids
1. Understanding area of a trapezoid 2. Area of trapezoids

Lesson 4: Find Area of Composite Figures		1. Area of compound figures 2. Area of compound figures with triangles Also consider: • Area between two rectangles • Area between two triangles
Lesson 4: Find Area of Composite Figures
1. Area of compound figures 2. Area of compound figures with triangles Also consider: • Area between two rectangles • Area between two triangles
Module 13 - Surface Area and Volume
Lesson 1: Explore Nets and Surface Areas		1. Nets of three-dimensional figures 2. Surface area of prisms and pyramids
Lesson 1: Explore Nets and Surface Areas
1. Nets of three-dimensional figures 2. Surface area of prisms and pyramids

Lesson 2: Find Volume of Rectangular Prisms		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths
Lesson 2: Find Volume of Rectangular Prisms
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths

Lesson 3: Solve Volume Problems		1. Volume of cubes and rectangular prisms: word problems
Lesson 3: Solve Volume Problems
1. Volume of cubes and rectangular prisms: word problems

5	Unit 5 Data Collection and Analysis
Module 14 - Data Collection and Displays
Lesson 1: Explore Statistical Data Collection		1. Identify statistical questions
Lesson 1: Explore Statistical Data Collection
1. Identify statistical questions

Lesson 2: Display Data in Dot Plots		1. Create line plots 2. Interpret line plots Also consider: • Create and interpret line plots with fractions
Lesson 2: Display Data in Dot Plots
1. Create line plots 2. Interpret line plots Also consider: • Create and interpret line plots with fractions

Lesson 3: Make Histograms and Frequency Tables		1. Create frequency tables 2. Create histograms Also consider: • Interpret frequency tables • Interpret histograms
Lesson 3: Make Histograms and Frequency Tables
1. Create frequency tables 2. Create histograms Also consider: • Interpret frequency tables • Interpret histograms
Module 15 - Measures of Center
Lesson 1: Explore Mean as Fair Share
Lesson 1: Explore Mean as Fair Share


Lesson 2: Find Measures of Center		1. Calculate mean, median, and mode Also consider: • Changes in mean, median, and mode
Lesson 2: Find Measures of Center
1. Calculate mean, median, and mode Also consider: • Changes in mean, median, and mode

Lesson 3: Choose a Measure of Center		1. Identify an outlier 2. Identify an outlier and describe the effect of removing it
Lesson 3: Choose a Measure of Center
1. Identify an outlier 2. Identify an outlier and describe the effect of removing it
Module 16 - Variability and Data Distribution
Lesson 1: Explore Patterns of Data		1. Describe shapes of distributions in line plots
Lesson 1: Explore Patterns of Data
1. Describe shapes of distributions in line plots

Lesson 2: Display Data in Box Plots		1. Calculate quartiles 2. Box plots
Lesson 2: Display Data in Box Plots
1. Calculate quartiles 2. Box plots

Lesson 3: Find Mean Absolute Deviation		1. Calculate mean absolute deviation
Lesson 3: Find Mean Absolute Deviation
1. Calculate mean absolute deviation

Lesson 4: Explore Measures of Variability		1. Calculate range and interquartile range 2. Choose appropriate measures of center and variation
Lesson 4: Explore Measures of Variability
1. Calculate range and interquartile range 2. Choose appropriate measures of center and variation

Lesson 5: Describe Distributions		1. Interpret measures of center and variability
Lesson 5: Describe Distributions
1. Interpret measures of center and variability

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.