IXL skill plan | 6th grade plan for Math Expressions

Skill plan for Math Expressions - 6th grade

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

Unit

Print skill plan

1	Unit 1 Rates, Ratios, and Proportions
Big Idea 1 - Multiplication and Rates
1-1: Factor Puzzles and the Multiplication Table		1. Identify factors 2. Identify multiplication patterns in tables
1-1: Factor Puzzles and the Multiplication Table
1. Identify factors 2. Identify multiplication patterns in tables

1-2: Solving Factor Puzzles		1. Find all the factor pairs of a number
1-2: Solving Factor Puzzles
1. Find all the factor pairs of a number

1-3: Rate Situations and Rate Tables		1. Complete a multiplication input/output table
1-3: Rate Situations and Rate Tables
1. Complete a multiplication input/output table

1-4: Rate Situations and Unit Rate Language		1. Complete a table for a multiplicative relationship
1-4: Rate Situations and Unit Rate Language
1. Complete a table for a multiplicative relationship

1-5: Unit Rates, Products, and Rate Tables		1. Unit rates
1-5: Unit Rates, Products, and Rate Tables
1. Unit rates
Big Idea 2 - Special Rate Situations and Graphing
1-6: Unit Pricing		1. Complete a table and make a graph: multiplicative relationships 2. Interpret graphs of proportional relationships Also consider: • Unit prices
1-6: Unit Pricing
1. Complete a table and make a graph: multiplicative relationships 2. Interpret graphs of proportional relationships Also consider: • Unit prices

1-7: Constant Speed		1. Calculate speed: word problems
1-7: Constant Speed
1. Calculate speed: word problems
Big Idea 3 - Solve Problems with Ratio and Proportion
1-8: Ratio as Linked Rates		1. Ratio tables
1-8: Ratio as Linked Rates
1. Ratio tables

1-9: Finding Linked Values in Ratio Tables		1. Write a part-to-part ratio 2. Write a ratio: word problems 3. Identify equivalent ratios Also consider: • Which model represents the ratio?
1-9: Finding Linked Values in Ratio Tables
1. Write a part-to-part ratio 2. Write a ratio: word problems 3. Identify equivalent ratios Also consider: • Which model represents the ratio?

1-10: Seeing Proportions in Ratio Tables		1. Write an equivalent ratio
1-10: Seeing Proportions in Ratio Tables
1. Write an equivalent ratio

1-11: Identify and Solve Proportion Situations		1. Equivalent ratios: word problems
1-11: Identify and Solve Proportion Situations
1. Equivalent ratios: word problems
Big Idea 4 - Identify, Solve, and Write Proportion Situations
1-12: Solve Numeric Proportion Problems		1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems
1-12: Solve Numeric Proportion Problems
1. Do the ratios form a proportion? 2. Do the ratios form a proportion: word problems

1-13: Basic Ratio Solution Strategies		1. Greatest common factor
1-13: Basic Ratio Solution Strategies
1. Greatest common factor

1-14: Write and Solve Proportion Problems		1. Find an equivalent ratio: word problems
1-14: Write and Solve Proportion Problems
1. Find an equivalent ratio: word problems

1-15: Focus on Problem Solving		1. Scale drawings: word problems Also consider: • Identify proportional relationships from graphs • Identify proportional relationships by graphing
1-15: Focus on Problem Solving
1. Scale drawings: word problems Also consider: • Identify proportional relationships from graphs • Identify proportional relationships by graphing

2	Unit 2 Area of Polygons
Big Idea 1 - Derive Area Formulas and Solve Problems: Parallelograms and Triangles
2-1: Units of Area		1. Tile a rectangle and find the area 2. Area of rectangles and squares
2-1: Units of Area
1. Tile a rectangle and find the area 2. Area of rectangles and squares

2-2: Area of Any Right Triangle		1. Area of right triangles
2-2: Area of Any Right Triangle
1. Area of right triangles

2-3: Area of Any Parallelogram		1. Understanding area of a parallelogram 2. Area of parallelograms with whole number measurements
2-3: Area of Any Parallelogram
1. Understanding area of a parallelogram 2. Area of parallelograms with whole number measurements

2-4: Area of Any Triangle		1. Understanding area of a triangle 2. Area of triangles with whole number measurements Also consider: • Classify triangles
2-4: Area of Any Triangle
1. Understanding area of a triangle 2. Area of triangles with whole number measurements Also consider: • Classify triangles

2-5: Select the Needed Measurements		1. Perimeter and area of rectangles, parallelograms, and triangles
2-5: Select the Needed Measurements
1. Perimeter and area of rectangles, parallelograms, and triangles
Big Idea 2 - Derive Area Formulas and Solve Problems: Trapezoids and Other Polygons
2-6: Area of Any Trapezoid		1. Understanding area of a trapezoid 2. Area of trapezoids with whole number measurements Also consider: • Identify trapezoids • Area of quadrilaterals and triangles: word problems
2-6: Area of Any Trapezoid
1. Understanding area of a trapezoid 2. Area of trapezoids with whole number measurements Also consider: • Identify trapezoids • Area of quadrilaterals and triangles: word problems

2-7: Area of a Complex Figure		1. Area of composite figures I 2. Perimeter of rectilinear shapes 3. Area and perimeter of complex figures: word problems
2-7: Area of a Complex Figure
1. Area of composite figures I 2. Perimeter of rectilinear shapes 3. Area and perimeter of complex figures: word problems

2-8: Area of Any Regular Polygon		1. Identify and classify polygons 2. Area of composite figures II
2-8: Area of Any Regular Polygon
1. Identify and classify polygons 2. Area of composite figures II

2-9: Graph Polygons in the Coordinate Plane		1. Graph triangles and quadrilaterals
2-9: Graph Polygons in the Coordinate Plane
1. Graph triangles and quadrilaterals

2-10: Focus on Problem Solving
2-10: Focus on Problem Solving

3	Unit 3 Operations with Whole Numbers, Fractions, and Decimals
Big Idea 1 - Multiplication and Division of Whole Numbers and Decimals
3-1: Place Value and Whole Number Division		1. Divide by 2-digit numbers 2. Divide whole numbers: word problems 3. Convert decimals between standard and expanded form Also consider: • What decimal number is illustrated? • Decimal place values
3-1: Place Value and Whole Number Division
1. Divide by 2-digit numbers 2. Divide whole numbers: word problems 3. Convert decimals between standard and expanded form Also consider: • What decimal number is illustrated? • Decimal place values

3-2: Estimated Multipliers in Division		1. Divide 4-digit numbers by 2-digit numbers Also consider: • Estimate decimal quotients
3-2: Estimated Multipliers in Division
1. Divide 4-digit numbers by 2-digit numbers Also consider: • Estimate decimal quotients

3-3: Multiplying by a Decimal		1. Multiply by 0.1 or 0.01 2. Multiply with decimals
3-3: Multiplying by a Decimal
1. Multiply by 0.1 or 0.01 2. Multiply with decimals

3-4: Decimal Divisors		1. Divide by 0.1 or 0.01 2. Division with decimals
3-4: Decimal Divisors
1. Divide by 0.1 or 0.01 2. Division with decimals

3-5: Multiplication or Division		1. Multiply and divide with decimals 2. Multiply and divide decimals: word problems
3-5: Multiplication or Division
1. Multiply and divide with decimals 2. Multiply and divide decimals: word problems
Big Idea 2 - Relating, Composing, and Decomposing Decimals and Fractions
3-6: Comparing, Adding and Subtracting with the Same Unit		1. Compare fractions and decimals I 2. Add and subtract fractions and decimals I Also consider: • Add and subtract fractions with like denominators: word problems
3-6: Comparing, Adding and Subtracting with the Same Unit
1. Compare fractions and decimals I 2. Add and subtract fractions and decimals I Also consider: • Add and subtract fractions with like denominators: word problems

3-7: Equivalent Fractions or Decimals		1. Compare fractions and decimals II 2. Add and subtract fractions and decimals II
3-7: Equivalent Fractions or Decimals
1. Compare fractions and decimals II 2. Add and subtract fractions and decimals II

3-8: Finding a Common Unit Fraction		1. Compare and order fractions 2. Add and subtract fractions and mixed numbers with unlike denominators Also consider: • Convert between improper fractions and mixed numbers
3-8: Finding a Common Unit Fraction
1. Compare and order fractions 2. Add and subtract fractions and mixed numbers with unlike denominators Also consider: • Convert between improper fractions and mixed numbers

3-9: Mixed Problem Solving		1. Least common multiple 2. Add and subtract fractions with unlike denominators: word problems 3. Add and subtract mixed numbers: word problems 4. Add and subtract decimals: word problems Also consider: • Least common denominator
3-9: Mixed Problem Solving
1. Least common multiple 2. Add and subtract fractions with unlike denominators: word problems 3. Add and subtract mixed numbers: word problems 4. Add and subtract decimals: word problems Also consider: • Least common denominator
Big Idea 3 - Multiplying Fractions and Dividing with Fractions and Whole Numbers
3-10: Multiplying with Fractions		1. Multiply fractions by whole numbers I 2. Multiply two fractions 3. Multiply mixed numbers Also consider: • Multiply two fractions using models • Multiply fractions by whole numbers II • Multiply three or more mixed numbers, fractions, and/or whole numbers
3-10: Multiplying with Fractions
1. Multiply fractions by whole numbers I 2. Multiply two fractions 3. Multiply mixed numbers Also consider: • Multiply two fractions using models • Multiply fractions by whole numbers II • Multiply three or more mixed numbers, fractions, and/or whole numbers

3-11: Dividing with Fractions and Whole Numbers		1. Relate division and fractions 2. Divide whole numbers by unit fractions using models 3. Divide whole numbers and unit fractions Also consider: • Divide fractions by whole numbers in recipes
3-11: Dividing with Fractions and Whole Numbers
1. Relate division and fractions 2. Divide whole numbers by unit fractions using models 3. Divide whole numbers and unit fractions Also consider: • Divide fractions by whole numbers in recipes

3-12: Is it Multiplying or Dividing?		1. Multiply and divide fractions: word problems
3-12: Is it Multiplying or Dividing?
1. Multiply and divide fractions: word problems
Big Idea 4 - Dividing a Fraction by a Fraction
3-13: Dividing Numerators and Denominators
3-13: Dividing Numerators and Denominators


3-14: Dividing by Unsimplifying		1. Reciprocals 2. Divide fractions 3. Divide fractions and mixed numbers Also consider: • Divide fractions using models • Divide fractions and mixed numbers using models • Divide fractions and mixed numbers using models: word problems
3-14: Dividing by Unsimplifying
1. Reciprocals 2. Divide fractions 3. Divide fractions and mixed numbers Also consider: • Divide fractions using models • Divide fractions and mixed numbers using models • Divide fractions and mixed numbers using models: word problems

3-15: Dividing by Multiplying by the Reciprocal		1. Divide fractions and mixed numbers: word problems
3-15: Dividing by Multiplying by the Reciprocal
1. Divide fractions and mixed numbers: word problems

3-16: Is it Multiplying or Dividing?		1. Scaling whole numbers by fractions: justify your answer 2. Scaling by fractions and mixed numbers 3. Multiply and divide fractions and mixed numbers: word problems
3-16: Is it Multiplying or Dividing?
1. Scaling whole numbers by fractions: justify your answer 2. Scaling by fractions and mixed numbers 3. Multiply and divide fractions and mixed numbers: word problems

3-17: Mixed Practice with Decimals and Fractions		1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems 3. Add, subtract, multiply, or divide two decimals 4. Add, subtract, multiply, or divide two decimals: word problems
3-17: Mixed Practice with Decimals and Fractions
1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems 3. Add, subtract, multiply, or divide two decimals 4. Add, subtract, multiply, or divide two decimals: word problems

3-18: Focus on Problem Solving
3-18: Focus on Problem Solving

4	Unit 4 Surface Area of Prisms and Pyramids
Big Idea 1 - Nets and Surface Area of Prisms
4-1: Nets and Surface Area for Rectangular Prisms		1. Surface area of cubes and rectangular prisms
4-1: Nets and Surface Area for Rectangular Prisms
1. Surface area of cubes and rectangular prisms

4-2: Nets and Surface Area for Nonrectangular Prisms		1. Nets of prisms 2. Surface area of triangular prisms Also consider: • Front, side, and top view
4-2: Nets and Surface Area for Nonrectangular Prisms
1. Nets of prisms 2. Surface area of triangular prisms Also consider: • Front, side, and top view

4-3: Surface Area of Prisms		1. Surface area of rectangular and triangular prisms
4-3: Surface Area of Prisms
1. Surface area of rectangular and triangular prisms
Big Idea 2 - Nets and Surface Area of Pyramids
4-4: Nets for Pyramids		1. Nets of square and triangular pyramids 2. Bases of prisms and pyramids 3. Which figure is being described?
4-4: Nets for Pyramids
1. Nets of square and triangular pyramids 2. Bases of prisms and pyramids 3. Which figure is being described?

4-5: Surface Area of Pyramids		1. Surface area of pyramids
4-5: Surface Area of Pyramids
1. Surface area of pyramids

4-6: Focus on Problem Solving
4-6: Focus on Problem Solving

5	Unit 5 Algebra and Number Theory
Big Idea 1 - Writing, Interpreting, and Analyzing Expressions
5-1: Expressions and Order of Operations		1. Identify terms 2. Order of operations 3. Evaluate variable expressions with whole numbers
5-1: Expressions and Order of Operations
1. Identify terms 2. Order of operations 3. Evaluate variable expressions with whole numbers

5-2: Expressions with Exponents		1. Write multiplication expressions using exponents 2. Evaluate expressions with exponents 3. Evaluate multi-variable expressions with exponents Also consider: • Evaluate powers with whole number bases • Write variable expressions with exponents
5-2: Expressions with Exponents
1. Write multiplication expressions using exponents 2. Evaluate expressions with exponents 3. Evaluate multi-variable expressions with exponents Also consider: • Evaluate powers with whole number bases • Write variable expressions with exponents

5-3: Interpreting and Analyzing Expressions		1. Write variable expressions: one operation 2. Write variable expressions: two operations
5-3: Interpreting and Analyzing Expressions
1. Write variable expressions: one operation 2. Write variable expressions: two operations

5-4: Modeling and Simplifying Expressions		1. Write variable expressions from diagrams
5-4: Modeling and Simplifying Expressions
1. Write variable expressions from diagrams

5-5: Expressions for Area and Surface Area		1. Area of compound figures 2. Area between two rectangles
5-5: Expressions for Area and Surface Area
1. Area of compound figures 2. Area between two rectangles
Big Idea 2 - Equivalent Expressions
5-6: Equivalent Expressions		1. Identify equivalent expressions using strip models
5-6: Equivalent Expressions
1. Identify equivalent expressions using strip models

5-7: The Commutative and Associative Properties		1. Identify properties of addition and multiplication 2. Identify coefficients 3. Simplify expressions using properties 4. Combine like terms using algebra tiles Also consider: • Identify equivalent expressions by combining like terms
5-7: The Commutative and Associative Properties
1. Identify properties of addition and multiplication 2. Identify coefficients 3. Simplify expressions using properties 4. Combine like terms using algebra tiles Also consider: • Identify equivalent expressions by combining like terms

5-8: The Distributive Property		1. Multiply using the distributive property 2. Factor variable expressions using the distributive property 3. Identify equivalent expressions using the distributive property Also consider: • Factor numerical expressions using the distributive property • Write equivalent expressions using properties • Greatest common factor of two or three numbers
5-8: The Distributive Property
1. Multiply using the distributive property 2. Factor variable expressions using the distributive property 3. Identify equivalent expressions using the distributive property Also consider: • Factor numerical expressions using the distributive property • Write equivalent expressions using properties • Greatest common factor of two or three numbers

5-9: Practice with Expressions		1. Evaluate numerical expressions involving whole numbers 2. Write variable expressions: word problems 3. Evaluate variable expressions: word problems Also consider: • Identify mistakes involving the order of operations
5-9: Practice with Expressions
1. Evaluate numerical expressions involving whole numbers 2. Write variable expressions: word problems 3. Evaluate variable expressions: word problems Also consider: • Identify mistakes involving the order of operations
Big Idea 3 - Representing and Describing Quantitative Relationships
5-10: Relating Two Quantities		1. Complete a table for a two-variable relationship 2. Write a two-variable multiplicative equation from a table
5-10: Relating Two Quantities
1. Complete a table for a two-variable relationship 2. Write a two-variable multiplicative equation from a table

5-11: Motion at a Constant Speed		1. Identify independent and dependent variables in tables and graphs 2. Write a multiplicative equation from a graph using a table
5-11: Motion at a Constant Speed
1. Identify independent and dependent variables in tables and graphs 2. Write a multiplicative equation from a graph using a table

5-12: Relating Equations, Tables, and Graphs		1. Complete a table and graph a two-variable equation Also consider: • Identify the graph of an equation • Graph a relationship between two variables
5-12: Relating Equations, Tables, and Graphs
1. Complete a table and graph a two-variable equation Also consider: • Identify the graph of an equation • Graph a relationship between two variables

5-13: Writing Equations		1. Write a two-variable equation
5-13: Writing Equations
1. Write a two-variable equation
Big Idea 4 - Solving Equations and Inequalities
5-14: 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
5-14: 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

5-15: Solutions of Equations and Inequalities		1. Solutions to equations and inequalities
5-15: Solutions of Equations and Inequalities
1. Solutions to equations and inequalities

5-16: Addition and Subtraction Equations		1. Model and solve addition equations using algebra tiles 2. Solve one-step addition and subtraction equations 3. Solve one-step addition and subtraction equations: word problems Also consider: • Model and solve addition and subtraction equations using diagrams
5-16: Addition and Subtraction Equations
1. Model and solve addition equations using algebra tiles 2. Solve one-step addition and subtraction equations 3. Solve one-step addition and subtraction equations: word problems Also consider: • Model and solve addition and subtraction equations using diagrams

5-17: Multiplication and Division Equations		1. Multiplicative inverses 2. Model and solve multiplication equations using algebra tiles 3. Solve one-step multiplication and division equations 4. Solve one-step multiplication and division equations: word problems Also consider: • Model and solve multiplication and division equations using diagrams
5-17: Multiplication and Division Equations
1. Multiplicative inverses 2. Model and solve multiplication equations using algebra tiles 3. Solve one-step multiplication and division equations 4. Solve one-step multiplication and division equations: word problems Also consider: • Model and solve multiplication and division equations using diagrams

5-18: Focus on Problem Solving		1. Solve one-step equations: word problems 2. Which word problem matches the one-step equation?
5-18: Focus on Problem Solving
1. Solve one-step equations: word problems 2. Which word problem matches the one-step equation?
Big Idea 5 - Number Theory
5-19: Prime Factorization, GCF, and LCM		1. Prime factorization 2. Greatest common factor 3. Least common multiple Also consider: • Prime or composite • Prime factorization with exponents
5-19: Prime Factorization, GCF, and LCM
1. Prime factorization 2. Greatest common factor 3. Least common multiple Also consider: • Prime or composite • Prime factorization with exponents

5-20: Number Theory Problems		1. GCF and LCM: word problems
5-20: Number Theory Problems
1. GCF and LCM: word problems

6	Unit 6 Geometry and Measurement
Big Idea 1 - Volume Formulas for Rectangular Prisms
6-1: What is Volume?		1. Volume of rectangular prisms made of unit cubes
6-1: What is Volume?
1. Volume of rectangular prisms made of unit cubes

6-2: Fractional Unit Cubes		1. Volume of rectangular prisms with fractional side lengths less than 1
6-2: Fractional Unit Cubes
1. Volume of rectangular prisms with fractional side lengths less than 1

6-3: Compose Rectangular Prisms with Fractional Edge Lengths		1. Volume of cubes and rectangular prisms: word problems
6-3: Compose Rectangular Prisms with Fractional Edge Lengths
1. Volume of cubes and rectangular prisms: word problems

6-4: Volume of Prisms with Fractional Edge Lengths		1. Volume of rectangular prisms with fractional side lengths greater than 1
6-4: Volume of Prisms with Fractional Edge Lengths
1. Volume of rectangular prisms with fractional side lengths greater than 1

6-5: Write and Solve Equations about Volume		1. Relate volume and surface area
6-5: Write and Solve Equations about Volume
1. Relate volume and surface area

6-6: Focus on Problem Solving
6-6: Focus on Problem Solving

Big Idea 2 - Angles
6-7: Angles Formed by Intersecting Lines		1. Measure and classify angles 2. Identify complementary, supplementary, vertical, adjacent, and congruent angles 3. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Complementary and supplementary angles
6-7: Angles Formed by Intersecting Lines
1. Measure and classify angles 2. Identify complementary, supplementary, vertical, adjacent, and congruent angles 3. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Complementary and supplementary angles

6-8: Angles in a Triangle		1. Find missing angles in triangles 2. Find missing angles in special triangles
6-8: Angles in a Triangle
1. Find missing angles in triangles 2. Find missing angles in special triangles

6-9: Interior Angles in Polygons		1. Find missing angles in quadrilaterals 2. Sums of angles in polygons
6-9: Interior Angles in Polygons
1. Find missing angles in quadrilaterals 2. Sums of angles in polygons
Big Idea 3 - Circles, Cylinders, and Cones
6-10: Circle Graphs		1. Interpret circle graphs
6-10: Circle Graphs
1. Interpret circle graphs

6-11: Circumference and Area of a Circle		1. Parts of a circle 2. Circumference of circles 3. Area of circles
6-11: Circumference and Area of a Circle
1. Parts of a circle 2. Circumference of circles 3. Area of circles

6-12: Solve Problems about Circles		1. Circles: word problems 2. Area of complex figures involving circles
6-12: Solve Problems about Circles
1. Circles: word problems 2. Area of complex figures involving circles

6-13: Cylinders
6-13: Cylinders


6-14: Cones
6-14: Cones

7	Unit 7 Ratios and Rates with Fractions, Decimals, and Percents
Big Idea 1 - Ratios, Fractions, Unit Rates, and Cross-Multiplying
7-1: Comparing Ratios		1. Ratios and rates: complete a table and make a graph 2. Compare ratios: word problems
7-1: Comparing Ratios
1. Ratios and rates: complete a table and make a graph 2. Compare ratios: word problems

7-2: Unit Rates		1. Rates: word problems
7-2: Unit Rates
1. Rates: word problems

7-3: Ratios, Fractions, and Fraction Notation		1. Write a ratio using a fraction 2. Identify equivalent ratios with fractions 3. Write a ratio using a fraction: word problems
7-3: Ratios, Fractions, and Fraction Notation
1. Write a ratio using a fraction 2. Identify equivalent ratios with fractions 3. Write a ratio using a fraction: word problems

7-4: Understanding Cross-Multiplication		1. Solve the proportion
7-4: Understanding Cross-Multiplication
1. Solve the proportion
Big Idea 2 - Ratios with Tape Diagrams and Equations
7-5: Describing Ratios with Tape Diagrams		1. Use tape diagrams to solve ratio word problems I
7-5: Describing Ratios with Tape Diagrams
1. Use tape diagrams to solve ratio word problems I

7-6: Ratios and Multiplicative Comparisons		1. Use tape diagrams to solve ratio word problems II Also consider: • Multi-step word problems: multiplicative comparison
7-6: Ratios and Multiplicative Comparisons
1. Use tape diagrams to solve ratio word problems II Also consider: • Multi-step word problems: multiplicative comparison

7-7: Solve Ratio and Rate Problems		1. Ratios and rates: word problems Also consider: • Compare rates: word problems
7-7: Solve Ratio and Rate Problems
1. Ratios and rates: word problems Also consider: • Compare rates: word problems
Big Idea 3 - Percent
7-8: The Meaning of Percent		1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 3. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems
7-8: The Meaning of Percent
1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 3. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems

7-9: Percent of a Number		1. Percents of numbers and money amounts Also consider: • Estimate percents of numbers
7-9: Percent of a Number
1. Percents of numbers and money amounts Also consider: • Estimate percents of numbers

7-10: Percent Calculations		1. Percents of numbers: word problems 2. Find the total given a part and a percent
7-10: Percent Calculations
1. Percents of numbers: word problems 2. Find the total given a part and a percent

7-11: Solve Percent Problems		1. Solve percent problems 2. Solve percent word problems Also consider: • Solve percent problems using strip models • Find what percent one number is of another • Find what percent one number is of another: word problems
7-11: Solve Percent Problems
1. Solve percent problems 2. Solve percent word problems Also consider: • Solve percent problems using strip models • Find what percent one number is of another • Find what percent one number is of another: word problems
Big Idea 4 - Relate Different Measurement Units
7-12: Convert Units of Length		1. Convert customary and metric units of length Also consider: • Convert square and cubic metric units of length
7-12: Convert Units of Length
1. Convert customary and metric units of length Also consider: • Convert square and cubic metric units of length

7-13: Convert Units of Liquid Volume, Mass, Weight, and Time		1. Convert metric and customary units using conversion factors 2. Convert customary and metric units using proportions 3. Elapsed time
7-13: Convert Units of Liquid Volume, Mass, Weight, and Time
1. Convert metric and customary units using conversion factors 2. Convert customary and metric units using proportions 3. Elapsed time

7-14: Focus on Problem Solving		1. Interpret bar graphs Also consider: • Create bar graphs
7-14: Focus on Problem Solving
1. Interpret bar graphs Also consider: • Create bar graphs

8	Unit 8 Statistics and Probability
Big Idea 1 - Displaying Data
8-1: Making Sense of Data		1. Interpret line plots Also consider: • Identify statistical questions • Interpret frequency tables
8-1: Making Sense of Data
1. Interpret line plots Also consider: • Identify statistical questions • Interpret frequency tables

8-2: Dot Plots and Histograms		1. Create line plots 2. Interpret histograms 3. Create histograms
8-2: Dot Plots and Histograms
1. Create line plots 2. Interpret histograms 3. Create histograms
Big Idea 2 - Summarizing Data: The Mean, the Median, and the Mode
8-3: Making Data Groups Equal		1. Find the mean
8-3: Making Data Groups Equal
1. Find the mean

8-4: Use the Mean		1. Calculate mean: word problems Also consider: • Mean: find the missing number
8-4: Use the Mean
1. Calculate mean: word problems Also consider: • Mean: find the missing number

8-5: The Mean as a Balance Point
8-5: The Mean as a Balance Point


8-6: Find and Use the Median and the Mode		1. Find the mean, median, or mode from a line plot 2. Calculate mean, median, and mode Also consider: • Changes in mean and median
8-6: Find and Use the Median and the Mode
1. Find the mean, median, or mode from a line plot 2. Calculate mean, median, and mode Also consider: • Changes in mean and median
Big Idea 3 - Describing Variability in Data
8-7: Variability in Data		1. Calculate range 2. Calculate quartiles
8-7: Variability in Data
1. Calculate range 2. Calculate quartiles

8-8: Box Plots		1. Box plots 2. Calculate interquartile range
8-8: Box Plots
1. Box plots 2. Calculate interquartile range

8-9: Mean Absolute Deviation		1. Calculate mean absolute deviation Also consider: • Choose appropriate measures of center and variation for line plots • Interpret measures of center and variability
8-9: Mean Absolute Deviation
1. Calculate mean absolute deviation Also consider: • Choose appropriate measures of center and variation for line plots • Interpret measures of center and variability

8-10: Cluster, Peaks, Gaps, and Outliers		1. Identify an outlier and describe the effect of removing it 2. Describe distributions in line plots
8-10: Cluster, Peaks, Gaps, and Outliers
1. Identify an outlier and describe the effect of removing it 2. Describe distributions in line plots

8-11: Collect, Display, and Interpret Data
8-11: Collect, Display, and Interpret Data


8-12: Focus on Problem Solving		1. Estimate customary measurements 2. Estimate metric measurements
8-12: Focus on Problem Solving
1. Estimate customary measurements 2. Estimate metric measurements
Big Idea 4 - Probability
8-13: Sample Space		1. Sample spaces of simple events 2. Sample spaces for compound events
8-13: Sample Space
1. Sample spaces of simple events 2. Sample spaces for compound events

8-14: Probability of an Event		1. Understanding probability 2. Probability of one event
8-14: Probability of an Event
1. Understanding probability 2. Probability of one event

8-15: Experiments to Investigate Probability		1. Experimental probability Also consider: • Create relative frequency tables
8-15: Experiments to Investigate Probability
1. Experimental probability Also consider: • Create relative frequency tables

8-16: Experimental Probabilities		1. Make predictions using experimental probability
8-16: Experimental Probabilities
1. Make predictions using experimental probability

9	Unit 9 Rational Numbers and the Coordinate Plane
Big Idea 1 - Discuss, Compare, and Graph Integers
9-1: Negative Numbers in the Real World		1. Understanding integers
9-1: Negative Numbers in the Real World
1. Understanding integers

9-2: Integers on a Number Line		1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Understanding opposite integers
9-2: Integers on a Number Line
1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Understanding opposite integers

9-3: Compare and Order Integers		1. Compare integers 2. Put integers in order 3. Absolute value 4. Absolute value and integers: word problems Also consider: • Understanding absolute value • Integer inequalities with absolute values
9-3: Compare and Order Integers
1. Compare integers 2. Put integers in order 3. Absolute value 4. Absolute value and integers: word problems Also consider: • Understanding absolute value • Integer inequalities with absolute values

9-4: Integers and the Coordinate Plane		1. Graph points on a coordinate plane: integers only 2. Quadrants Also consider: • Follow directions on a coordinate plane
9-4: Integers and the Coordinate Plane
1. Graph points on a coordinate plane: integers only 2. Quadrants Also consider: • Follow directions on a coordinate plane
Big Idea 2 - Discuss, Compare, and Graph Rational Numbers
9-5: Rational Numbers on a Number Line		1. Rational numbers on number lines 2. Opposites of rational numbers
9-5: Rational Numbers on a Number Line
1. Rational numbers on number lines 2. Opposites of rational numbers

9-6: Compare and Order Rational Numbers		1. Compare and order rational numbers using number lines 2. Compare and order rational numbers: word problems
9-6: Compare and Order Rational Numbers
1. Compare and order rational numbers using number lines 2. Compare and order rational numbers: word problems

9-7: Rational Numbers and the Coordinate Plane		1. Objects on a coordinate plane 2. Distance between two points 3. Reflect a point over an axis Also consider: • Distances on coordinate planes as maps
9-7: Rational Numbers and the Coordinate Plane
1. Objects on a coordinate plane 2. Distance between two points 3. Reflect a point over an axis Also consider: • Distances on coordinate planes as maps

9-8: Focus on Problem Solving
9-8: Focus on Problem Solving

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