IXL skill plan | 4th grade plan for EngageNY Math

Skill plan for EngageNY Math - 4th grade

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

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1	Module 1 Place Value, Rounding, and Algorithms for Addition and Subtraction
Topic A - Place Value of Multi-Digit Whole Numbers
Lesson 1 Lesson 2		1. Relationship between place values Also consider: • Convert between place values: up to hundred thousands • Compare numbers using multiplication
Lesson 1 Lesson 2
1. Relationship between place values Also consider: • Convert between place values: up to hundred thousands • Compare numbers using multiplication

Lesson 3		1. Value of a digit 2. Place value names
Lesson 3
1. Value of a digit 2. Place value names

Lesson 4		1. Convert between standard and expanded form 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words
Lesson 4
1. Convert between standard and expanded form 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words
Topic B - Comparing Multi-Digit Whole Numbers
Lesson 5		1. Compare numbers up to one million 2. Compare numbers in tables 3. Order numbers up to one million
Lesson 5
1. Compare numbers up to one million 2. Compare numbers in tables 3. Order numbers up to one million

Lesson 6		1. Input/output tables: add and subtract 1, 10, or 100 thousand
Lesson 6
1. Input/output tables: add and subtract 1, 10, or 100 thousand
Topic C - Rounding Multi-Digit Whole Numbers
Lesson 7		1. Round using a number line 2. Rounding: up to thousands place
Lesson 7
1. Round using a number line 2. Rounding: up to thousands place

Lesson 8		1. Rounding: up to millions place
Lesson 8
1. Rounding: up to millions place

Lesson 9 Lesson 10		1. Round a number to any place: up to hundred thousands Also consider: • Rounding puzzles
Lesson 9 Lesson 10
1. Round a number to any place: up to hundred thousands Also consider: • Rounding puzzles
Topic D - Multi-Digit Whole Number Addition
Lesson 11		1. Add numbers up to six digits 2. Add two numbers up to six digits: word problems Also consider: • Add three numbers up to six digits each • Add three numbers up to three digits each: word problems
Lesson 11
1. Add numbers up to six digits 2. Add two numbers up to six digits: word problems Also consider: • Add three numbers up to six digits each • Add three numbers up to three digits each: word problems

Lesson 12		1. Multi-step addition word problems 2. Estimate sums: word problems
Lesson 12
1. Multi-step addition word problems 2. Estimate sums: word problems
Topic E - Multi-Digit Whole Number Subtraction
Lesson 13		1. Subtract two numbers up to six digits: regroup once Also consider: • Subtract two numbers up to six digits without regrouping • Subtract numbers up to six digits: word problems
Lesson 13
1. Subtract two numbers up to six digits: regroup once Also consider: • Subtract two numbers up to six digits without regrouping • Subtract numbers up to six digits: word problems

Lesson 14 Lesson 15		1. Subtract two numbers up to six digits with regrouping 2. Subtract numbers up to six digits: word problems Also consider: • Subtract across zeros
Lesson 14 Lesson 15
1. Subtract two numbers up to six digits with regrouping 2. Subtract numbers up to six digits: word problems Also consider: • Subtract across zeros

Lesson 16		1. Multi-step word problems involving subtraction 2. Estimate differences: word problems
Lesson 16
1. Multi-step word problems involving subtraction 2. Estimate differences: word problems
Topic F - Addition and Subtraction Word Problems
Lesson 17		1. Comparison word problems with addition and subtraction
Lesson 17
1. Comparison word problems with addition and subtraction

Lesson 18 Lesson 19		1. Multi-step addition and subtraction word problems Also consider: • Estimate sums and differences: word problems • Addition and subtraction word problems • Use equations to solve addition and subtraction word problems • Two-step addition and subtraction word problems
Lesson 18 Lesson 19
1. Multi-step addition and subtraction word problems Also consider: • Estimate sums and differences: word problems • Addition and subtraction word problems • Use equations to solve addition and subtraction word problems • Two-step addition and subtraction word problems

2	Module 2 Unit Conversions and Problem Solving with Metric Measurement
Topic A - Metric Unit Conversions
Lesson 1		1. Convert metric units of length: centimeters, meters, and kilometers 2. Add and subtract mixed metric units of length
Lesson 1
1. Convert metric units of length: centimeters, meters, and kilometers 2. Add and subtract mixed metric units of length

Lesson 2		1. Compare and convert metric units of mass 2. Add and subtract mixed metric units of mass
Lesson 2
1. Compare and convert metric units of mass 2. Add and subtract mixed metric units of mass

Lesson 3		1. Convert metric units of volume 2. Add and subtract mixed metric units of volume
Lesson 3
1. Convert metric units of volume 2. Add and subtract mixed metric units of volume
Topic B - Application of Metric Unit Conversions
Lesson 4		1. Compare metric units 2. Convert mixed metric units
Lesson 4
1. Compare metric units 2. Convert mixed metric units

Lesson 5		1. Measurement word problems: metric units 2. Multi-step measurement word problems
Lesson 5
1. Measurement word problems: metric units 2. Multi-step measurement word problems

3	Module 3 Multi-Digit Multiplication and Division
Topic A - Multiplicative Comparison Word Problems
Lesson 1		1. Understanding area and perimeter of rectangles 2. Area and perimeter of rectangles: find the missing side length Also consider: • Find the perimeter of rectangles using formulas • Find the area of rectangles using formulas • Tile a rectangle and find the area • Area of figures on grids
Lesson 1
1. Understanding area and perimeter of rectangles 2. Area and perimeter of rectangles: find the missing side length Also consider: • Find the perimeter of rectangles using formulas • Find the area of rectangles using formulas • Tile a rectangle and find the area • Area of figures on grids

Lesson 2		1. Area and perimeter: word problems Also consider: • Compare area and perimeter of rectangles and squares
Lesson 2
1. Area and perimeter: word problems Also consider: • Compare area and perimeter of rectangles and squares

Lesson 3		1. Relationship between area and perimeter
Lesson 3
1. Relationship between area and perimeter
Topic B - Multiplication by 10, 100, and 1,000
Lesson 4		1. Multiply by 10 or 100 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply by a multiple of ten using place value • Multiply a 1-digit number by 10 or 100
Lesson 4
1. Multiply by 10 or 100 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply by a multiple of ten using place value • Multiply a 1-digit number by 10 or 100

Lesson 5		1. Multiplication patterns over increasing place values: up to thousands 2. Multiply by multiples of 100 and 1,000: word problems
Lesson 5
1. Multiplication patterns over increasing place values: up to thousands 2. Multiply by multiples of 100 and 1,000: word problems

Lesson 6		1. Multiply two multiples of ten
Lesson 6
1. Multiply two multiples of ten
Topic C - Multiplication of up to Four Digits by Single-Digit Numbers
Lesson 7		1. Multiply 1-digit numbers by 2-digit numbers using partial products 2. Multiply 1-digit numbers by 2-digit numbers Also consider: • Multiply 1-digit numbers by 2-digit numbers: word problems • Multiply 1-digit numbers by teen numbers using grids
Lesson 7
1. Multiply 1-digit numbers by 2-digit numbers using partial products 2. Multiply 1-digit numbers by 2-digit numbers Also consider: • Multiply 1-digit numbers by 2-digit numbers: word problems • Multiply 1-digit numbers by teen numbers using grids

Lesson 8		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
Lesson 8
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form

Lesson 9		1. Multiply 1-digit numbers by 3-digit numbers 2. Multiply 1-digit numbers by 2-digit or 3-digit numbers: word problems
Lesson 9
1. Multiply 1-digit numbers by 3-digit numbers 2. Multiply 1-digit numbers by 2-digit or 3-digit numbers: word problems

Lesson 10		1. Multiply 1-digit numbers by 4-digit numbers 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Lesson 10
1. Multiply 1-digit numbers by 4-digit numbers 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems

Lesson 11		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers: choose the area model • Multiply 1-digit numbers by 2-digit numbers using area models
Lesson 11
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers: choose the area model • Multiply 1-digit numbers by 2-digit numbers using area models
Topic D - Multiplication Word Problems
Lesson 12		1. Compare numbers using multiplication: word problems 2. Use strip diagrams to solve multi-step word problems with multiplication Also consider: • Comparison word problems: addition or multiplication?
Lesson 12
1. Compare numbers using multiplication: word problems 2. Use strip diagrams to solve multi-step word problems with multiplication Also consider: • Comparison word problems: addition or multiplication?

Lesson 13		1. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
Lesson 13
1. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
Topic E - Division of Tens and Ones with Successive Remainders
Lesson 14		1. One-step word problems involving remainders 2. Divide 2-digit numbers by 1-digit numbers: word problems
Lesson 14
1. One-step word problems involving remainders 2. Divide 2-digit numbers by 1-digit numbers: word problems

Lesson 15		1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Pick the model that shows a division expression Also consider: • Divide 2-digit numbers by 1-digit numbers: without remainders
Lesson 15
1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Pick the model that shows a division expression Also consider: • Divide 2-digit numbers by 1-digit numbers: without remainders

Lesson 16 Lesson 17		1. Divide 2-digit numbers by 1-digit numbers: quotients up to 10
Lesson 16 Lesson 17
1. Divide 2-digit numbers by 1-digit numbers: quotients up to 10

Lesson 18		1. Divide 2-digit numbers by 1-digit numbers Also consider: • Divide 2-digit numbers by 1-digit numbers using partial quotients
Lesson 18
1. Divide 2-digit numbers by 1-digit numbers Also consider: • Divide 2-digit numbers by 1-digit numbers using partial quotients

Lesson 19		1. Divide 2-digit numbers by 1-digit numbers: interpret remainders Also consider: • Divide 2-digit numbers by 1-digit numbers: complete the table
Lesson 19
1. Divide 2-digit numbers by 1-digit numbers: interpret remainders Also consider: • Divide 2-digit numbers by 1-digit numbers: complete the table

Lesson 20		1. Divide 2-digit numbers by 1-digit numbers using area models Also consider: • Divide using the distributive property
Lesson 20
1. Divide 2-digit numbers by 1-digit numbers using area models Also consider: • Divide using the distributive property

Lesson 21		1. Divide 2-digit numbers by 1-digit numbers: word problems with remainders
Lesson 21
1. Divide 2-digit numbers by 1-digit numbers: word problems with remainders
Topic F - Reasoning with Divisibility
Lesson 22		1. Find all the factor pairs of a number 2. Prime and composite: up to 100 Also consider: • Create rectangles with a given area
Lesson 22
1. Find all the factor pairs of a number 2. Prime and composite: up to 100 Also consider: • Create rectangles with a given area

Lesson 23		1. Identify factors 2. Divisibility rules for 2, 5, and 10 Also consider: • Multiplication facts to 10: find the missing factor • Divisibility rules: word problems
Lesson 23
1. Identify factors 2. Divisibility rules for 2, 5, and 10 Also consider: • Multiplication facts to 10: find the missing factor • Divisibility rules: word problems

Lesson 24		1. Choose the multiples of a given number up to 10 Also consider: • Complete the addition pattern
Lesson 24
1. Choose the multiples of a given number up to 10 Also consider: • Complete the addition pattern

Lesson 25		1. Which number is prime or composite?
Lesson 25
1. Which number is prime or composite?
Topic G - Division of Thousands, Hundreds, Tens, and Ones
Lesson 26		1. Division patterns over increasing place values: up to thousands 2. Divide numbers ending in zeros by 1-digit numbers Also consider: • Divide numbers ending in zeros by 1-digit numbers: complete the sentence
Lesson 26
1. Division patterns over increasing place values: up to thousands 2. Divide numbers ending in zeros by 1-digit numbers Also consider: • Divide numbers ending in zeros by 1-digit numbers: complete the sentence

Lesson 27		1. Divide 3-digit numbers by 1-digit numbers: without remainders
Lesson 27
1. Divide 3-digit numbers by 1-digit numbers: without remainders

Lesson 28		1. Divide 3-digit numbers by 1-digit numbers 2. Divide 2-digit and 3-digit numbers by 1-digit numbers: word problems Also consider: • Divide using partial quotients
Lesson 28
1. Divide 3-digit numbers by 1-digit numbers 2. Divide 2-digit and 3-digit numbers by 1-digit numbers: word problems Also consider: • Divide using partial quotients

Lesson 29		1. Divide 4-digit numbers by 1-digit numbers 2. Divide 4-digit numbers by 1-digit numbers: word problems Also consider: • Divide 4-digit numbers by 1-digit numbers: without remainders
Lesson 29
1. Divide 4-digit numbers by 1-digit numbers 2. Divide 4-digit numbers by 1-digit numbers: word problems Also consider: • Divide 4-digit numbers by 1-digit numbers: without remainders

Lesson 30		1. Divide 3-digit and 4-digit numbers by 1-digit numbers with zeros in the quotient
Lesson 30
1. Divide 3-digit and 4-digit numbers by 1-digit numbers with zeros in the quotient

Lesson 31		1. Divide larger numbers by 1-digit numbers: word problems without remainders
Lesson 31
1. Divide larger numbers by 1-digit numbers: word problems without remainders

Lesson 32		1. Divide larger numbers by 1-digit numbers: word problems Also consider: • Divide larger numbers by 1-digit numbers
Lesson 32
1. Divide larger numbers by 1-digit numbers: word problems Also consider: • Divide larger numbers by 1-digit numbers

Lesson 33		1. Divide 3-digit numbers by 1-digit numbers using area models
Lesson 33
1. Divide 3-digit numbers by 1-digit numbers using area models
Topic H - Multiplication of Two-Digit by Two-Digit Numbers
Lesson 34		1. Multiply a two-digit number by a multiple of ten
Lesson 34
1. Multiply a two-digit number by a multiple of ten

Lesson 35		1. Multiply a two-digit number by a multiple of ten II
Lesson 35
1. Multiply a two-digit number by a multiple of ten II

Lesson 36		1. Multiply 2-digit numbers by 2-digit numbers using area models 2. Multiply 2-digit numbers by 2-digit numbers using partial products Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model
Lesson 36
1. Multiply 2-digit numbers by 2-digit numbers using area models 2. Multiply 2-digit numbers by 2-digit numbers using partial products Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model

Lesson 37		1. Multiply 2-digit numbers by 2-digit numbers using the distributive property 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps
Lesson 37
1. Multiply 2-digit numbers by 2-digit numbers using the distributive property 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps

Lesson 38		1. Multiply a 2-digit number by a 2-digit number Also consider: • Multiply a 2-digit number by a 2-digit number: word problems
Lesson 38
1. Multiply a 2-digit number by a 2-digit number Also consider: • Multiply a 2-digit number by a 2-digit number: word problems

4	Module 4 Angle Measure and Plane Figures
Topic A - Lines and Angles
Lesson 1		1. Points, lines, line segments, rays, and angles
Lesson 1
1. Points, lines, line segments, rays, and angles

Lesson 2		1. Acute, right, and obtuse angles Also consider: • Angles greater than, less than, or equal to a right angle
Lesson 2
1. Acute, right, and obtuse angles Also consider: • Angles greater than, less than, or equal to a right angle

Lesson 3		1. Identify perpendicular lines
Lesson 3
1. Identify perpendicular lines

Lesson 4		1. Identify parallel lines 2. Identify parallel, perpendicular, and intersecting lines
Lesson 4
1. Identify parallel lines 2. Identify parallel, perpendicular, and intersecting lines
Topic B - Angle Measurement
Lesson 5		1. Angles as fractions of a circle 2. Angles of 90, 180, 270, and 360 degrees
Lesson 5
1. Angles as fractions of a circle 2. Angles of 90, 180, 270, and 360 degrees

Lesson 6		1. Measure angles with a protractor 2. Measure angles on a circle Also consider: • Use fractions to find the measure of an angle
Lesson 6
1. Measure angles with a protractor 2. Measure angles on a circle Also consider: • Use fractions to find the measure of an angle

Lesson 7		1. Draw angles with a protractor Also consider: • Estimate angle measurements
Lesson 7
1. Draw angles with a protractor Also consider: • Estimate angle measurements

Lesson 8		1. Fractions of a turn
Lesson 8
1. Fractions of a turn
Topic C - Problem Solving with the Addition of Angle Measures
Lesson 9
Lesson 9


Lesson 10		1. Find measures of complementary, supplementary, and adjacent angles Also consider: • Adjacent angles • Angle measures: word problems
Lesson 10
1. Find measures of complementary, supplementary, and adjacent angles Also consider: • Adjacent angles • Angle measures: word problems

Lesson 11		1. Missing angles in circles
Lesson 11
1. Missing angles in circles
Topic D - Two-Dimensional Figures and Symmetry
Lesson 12		1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry
Lesson 12
1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry

Lesson 13		1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles
Lesson 13
1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles

Lesson 14		1. Classify triangles
Lesson 14
1. Classify triangles

Lesson 15		1. Parallel sides in quadrilaterals 2. Identify trapezoids 3. Identify parallelograms Also consider: • Identify rectangles • Sides and angles of quadrilaterals
Lesson 15
1. Parallel sides in quadrilaterals 2. Identify trapezoids 3. Identify parallelograms Also consider: • Identify rectangles • Sides and angles of quadrilaterals

Lesson 16		1. Draw quadrilaterals 2. Classify quadrilaterals Also consider: • Pick all the names for a quadrilateral • Describe relationships among quadrilaterals
Lesson 16
1. Draw quadrilaterals 2. Classify quadrilaterals Also consider: • Pick all the names for a quadrilateral • Describe relationships among quadrilaterals

5	Module 5 Fraction Equivalence, Ordering, and Operations
Topic A - Decomposition and Fraction Equivalence
Lesson 1		1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write an improper fraction as a sum of unit fractions
Lesson 1
1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write an improper fraction as a sum of unit fractions

Lesson 2		1. Write a fraction as a sum of fractions 2. Write an improper fraction as a sum of fractions 3. Decompose fractions multiple ways
Lesson 2
1. Write a fraction as a sum of fractions 2. Write an improper fraction as a sum of fractions 3. Decompose fractions multiple ways

Lesson 3		1. Multiples of unit fractions: find the missing numbers
Lesson 3
1. Multiples of unit fractions: find the missing numbers

Lesson 4
Lesson 4


Lesson 5 Lesson 6		1. Find equivalent fractions using area models: one model Also consider: • Find equivalent fractions using area models: two models
Lesson 5 Lesson 6
1. Find equivalent fractions using area models: one model Also consider: • Find equivalent fractions using area models: two models
Topic B - Fraction Equivalence Using Multiplication and Division
Lesson 7 Lesson 8		1. Find equivalent fractions using multiplication
Lesson 7 Lesson 8
1. Find equivalent fractions using multiplication

Lesson 9 Lesson 10		1. Write fractions in lowest terms
Lesson 9 Lesson 10
1. Write fractions in lowest terms

Lesson 11		1. Graph equivalent fractions on number lines Also consider: • Identify the equivalent fraction • Equivalent fractions: find the missing numerator or denominator
Lesson 11
1. Graph equivalent fractions on number lines Also consider: • Identify the equivalent fraction • Equivalent fractions: find the missing numerator or denominator
Topic C - Fraction Comparison
Lesson 12 Lesson 13		1. Compare fractions using benchmarks Also consider: • Compare fractions using benchmarks: find the missing numerator
Lesson 12 Lesson 13
1. Compare fractions using benchmarks Also consider: • Compare fractions using benchmarks: find the missing numerator

Lesson 14		1. Compare fractions with like numerators or denominators 2. Compare fractions using equivalent fractions Also consider: • Compare fractions using models • Compare fractions: find the missing numerator or denominator
Lesson 14
1. Compare fractions with like numerators or denominators 2. Compare fractions using equivalent fractions Also consider: • Compare fractions using models • Compare fractions: find the missing numerator or denominator

Lesson 15		1. Compare fractions with unrelated denominators
Lesson 15
1. Compare fractions with unrelated denominators
Topic D - Fraction Addition and Subtraction
Lesson 16		1. Add and subtract fractions with like denominators using number lines 2. Add and subtract fractions with like denominators Also consider: • Add fractions with like denominators using number lines • Add fractions with like denominators
Lesson 16
1. Add and subtract fractions with like denominators using number lines 2. Add and subtract fractions with like denominators Also consider: • Add fractions with like denominators using number lines • Add fractions with like denominators

Lesson 17		1. Subtract fractions with like denominators using number lines Also consider: • Subtract fractions with like denominators
Lesson 17
1. Subtract fractions with like denominators using number lines Also consider: • Subtract fractions with like denominators

Lesson 18		1. Add 3 or more fractions with like denominators
Lesson 18
1. Add 3 or more fractions with like denominators

Lesson 19		1. Add and subtract fractions with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes
Lesson 19
1. Add and subtract fractions with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes

Lesson 20		1. Add fractions with unlike denominators using models 2. Add fractions with unlike denominators
Lesson 20
1. Add fractions with unlike denominators using models 2. Add fractions with unlike denominators

Lesson 21		1. Add fractions with unlike denominators: sums greater than 1
Lesson 21
1. Add fractions with unlike denominators: sums greater than 1
Topic E - Extending Fraction Equivalence to Fractions Greater Than 1
Lesson 22		1. Add and subtract fractions and whole numbers Also consider: • Subtract fractions from whole numbers
Lesson 22
1. Add and subtract fractions and whole numbers Also consider: • Subtract fractions from whole numbers

Lesson 23		1. Multiply unit fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers using models • Find fractions equivalent to whole numbers
Lesson 23
1. Multiply unit fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers using models • Find fractions equivalent to whole numbers

Lesson 24		1. Convert improper fractions to mixed numbers
Lesson 24
1. Convert improper fractions to mixed numbers

Lesson 25		1. Convert mixed numbers to improper fractions Also consider: • Convert between improper fractions and mixed numbers
Lesson 25
1. Convert mixed numbers to improper fractions Also consider: • Convert between improper fractions and mixed numbers

Lesson 26 Lesson 27		1. Compare mixed numbers and improper fractions
Lesson 26 Lesson 27
1. Compare mixed numbers and improper fractions

Lesson 28		1. Create and interpret line plots with fractions
Lesson 28
1. Create and interpret line plots with fractions
Topic F - Addition and Subtraction of Fractions by Decomposition
Lesson 29		1. Estimate sums and differences of mixed numbers
Lesson 29
1. Estimate sums and differences of mixed numbers

Lesson 30		1. Break apart fractions and mixed numbers to add
Lesson 30
1. Break apart fractions and mixed numbers to add

Lesson 31		1. Add mixed numbers with like denominators: without regrouping 2. Add mixed numbers with like denominators: with regrouping Also consider: • Add and subtract mixed numbers with like denominators in recipes • Add fractions and mixed numbers using properties
Lesson 31
1. Add mixed numbers with like denominators: without regrouping 2. Add mixed numbers with like denominators: with regrouping Also consider: • Add and subtract mixed numbers with like denominators in recipes • Add fractions and mixed numbers using properties

Lesson 32		1. Break apart fractions and mixed numbers to subtract
Lesson 32
1. Break apart fractions and mixed numbers to subtract

Lesson 33		1. Subtract mixed numbers with regrouping Also consider: • Subtract mixed numbers without regrouping
Lesson 33
1. Subtract mixed numbers with regrouping Also consider: • Subtract mixed numbers without regrouping

Lesson 34		1. Subtract with mixed numbers and like denominators
Lesson 34
1. Subtract with mixed numbers and like denominators
Topic G - Repeated Addition of Fractions as Multiplication
Lesson 35		1. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using models: complete the equation • Multiply fractions by whole numbers using number lines
Lesson 35
1. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using models: complete the equation • Multiply fractions by whole numbers using number lines

Lesson 36		1. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers: sorting • Multiples of fractions: find the missing numbers
Lesson 36
1. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers: sorting • Multiples of fractions: find the missing numbers

Lesson 37 Lesson 38		1. Multiply mixed numbers by whole numbers Also consider: • Multiply fractions and mixed numbers by whole numbers in recipes
Lesson 37 Lesson 38
1. Multiply mixed numbers by whole numbers Also consider: • Multiply fractions and mixed numbers by whole numbers in recipes

Lesson 39		1. Multiply mixed numbers by whole numbers: word problems
Lesson 39
1. Multiply mixed numbers by whole numbers: word problems

Lesson 40		1. Add, subtract, and multiply fractions: word problems II Also consider: • Add, subtract, and multiply fractions: word problems
Lesson 40
1. Add, subtract, and multiply fractions: word problems II Also consider: • Add, subtract, and multiply fractions: word problems
Topic H - Exploring a Fraction Pattern
Lesson 41
Lesson 41

6	Module 6 Decimal Fractions
Topic A - Exploration of Tenths
Lesson 1		1. Graph tenths on a number line: numbers less than 1 Also consider: • Model tenths
Lesson 1
1. Graph tenths on a number line: numbers less than 1 Also consider: • Model tenths

Lesson 2		1. Model tenths with decimals and mixed numbers 2. Convert fractions and mixed numbers to decimals: tenths Also consider: • Convert decimals to fractions and mixed numbers: tenths
Lesson 2
1. Model tenths with decimals and mixed numbers 2. Convert fractions and mixed numbers to decimals: tenths Also consider: • Convert decimals to fractions and mixed numbers: tenths

Lesson 3		1. Convert decimals between standard and expanded form: tenths Also consider: • Graph tenths on a number line: fractions and mixed numbers
Lesson 3
1. Convert decimals between standard and expanded form: tenths Also consider: • Graph tenths on a number line: fractions and mixed numbers
Topic B - Tenths and Hundredths
Lesson 4		1. Graph hundredths on a number line: numbers less than 1
Lesson 4
1. Graph hundredths on a number line: numbers less than 1

Lesson 5		1. Model hundredths 2. Convert fractions to decimals: denominators of 10 and 100 Also consider: • Fractions with denominators of 10 and 100
Lesson 5
1. Model hundredths 2. Convert fractions to decimals: denominators of 10 and 100 Also consider: • Fractions with denominators of 10 and 100

Lesson 6		1. Model hundredths with decimals and mixed numbers 2. Convert fractions and mixed numbers to decimals: hundredths Also consider: • Graph hundredths on a number line: fractions and mixed numbers • Convert decimals to fractions and mixed numbers: hundredths • Proper fractions and mixed numbers with denominators of 10 and 100
Lesson 6
1. Model hundredths with decimals and mixed numbers 2. Convert fractions and mixed numbers to decimals: hundredths Also consider: • Graph hundredths on a number line: fractions and mixed numbers • Convert decimals to fractions and mixed numbers: hundredths • Proper fractions and mixed numbers with denominators of 10 and 100

Lesson 7		1. Convert decimals between standard and expanded form
Lesson 7
1. Convert decimals between standard and expanded form

Lesson 8		1. Convert between decimals and mixed numbers: tenths and hundredths Also consider: • Equivalent decimals using tenths and hundredths
Lesson 8
1. Convert between decimals and mixed numbers: tenths and hundredths Also consider: • Equivalent decimals using tenths and hundredths
Topic C - Decimal Comparison
Lesson 9		1. Compare decimals between 0 and 1
Lesson 9
1. Compare decimals between 0 and 1

Lesson 10		1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers
Lesson 10
1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers

Lesson 11		1. Compare decimals and fractions Also consider: • Put decimal numbers in order I • Put decimal numbers in order II • Compare decimals and fractions on number lines
Lesson 11
1. Compare decimals and fractions Also consider: • Put decimal numbers in order I • Put decimal numbers in order II • Compare decimals and fractions on number lines
Topic D - Addition with Tenths and Hundredths
Lesson 12		1. Add fractions: denominators 10 and 100 Also consider: • Identify fraction expressions with a particular sum: denominators of 10 and 100
Lesson 12
1. Add fractions: denominators 10 and 100 Also consider: • Identify fraction expressions with a particular sum: denominators of 10 and 100

Lesson 13		1. Add decimals or fractions: tenths and hundredths Also consider: • Fractions and mixed numbers with denominators of 10 and 100 • Convert between fractions, mixed numbers, and decimals: tenths and hundredths
Lesson 13
1. Add decimals or fractions: tenths and hundredths Also consider: • Fractions and mixed numbers with denominators of 10 and 100 • Convert between fractions, mixed numbers, and decimals: tenths and hundredths

Lesson 14		1. Add decimals: word problems with metric units
Lesson 14
1. Add decimals: word problems with metric units
Topic E - Money Amounts as Decimal Numbers
Lesson 15		1. Relate decimals and money Also consider: • Count money: pennies, dimes, and bills • Compare money amounts
Lesson 15
1. Relate decimals and money Also consider: • Count money: pennies, dimes, and bills • Compare money amounts

Lesson 16		1. Add and subtract money amounts: word problems 2. Multiply and divide decimal money amounts: word problems
Lesson 16
1. Add and subtract money amounts: word problems 2. Multiply and divide decimal money amounts: word problems

7	Module 7 Exploring Measurement with Multiplication
Topic A - Measurement Conversion Tables
Lesson 1		1. Conversion tables: customary units of length and weight 2. Convert mixed customary units of length 3. Compare and convert pounds to ounces Also consider: • Compare and convert customary units of length
Lesson 1
1. Conversion tables: customary units of length and weight 2. Convert mixed customary units of length 3. Compare and convert pounds to ounces Also consider: • Compare and convert customary units of length

Lesson 2		1. Conversion tables: customary units of volume 2. Convert mixed customary units of volume Also consider: • Convert customary units of volume
Lesson 2
1. Conversion tables: customary units of volume 2. Convert mixed customary units of volume Also consider: • Convert customary units of volume

Lesson 3		1. Convert time units: hours, minutes, and seconds 2. Convert mixed time units: days, hours, minutes, and seconds
Lesson 3
1. Convert time units: hours, minutes, and seconds 2. Convert mixed time units: days, hours, minutes, and seconds

Lesson 4		1. Compare and convert customary units 2. Compare numbers using multiplication: review
Lesson 4
1. Compare and convert customary units 2. Compare numbers using multiplication: review

Lesson 5		1. Multi-step measurement word problems: customary units Also consider: • Measurement word problems
Lesson 5
1. Multi-step measurement word problems: customary units Also consider: • Measurement word problems
Topic B - Problem Solving with Measurement
Lesson 6 Lesson 7 Lesson 8		1. Add and subtract mixed measures with customary units Also consider: • Add and subtract mixed customary units of length
Lesson 6 Lesson 7 Lesson 8
1. Add and subtract mixed measures with customary units Also consider: • Add and subtract mixed customary units of length

Lesson 9		1. Add and subtract mixed time units
Lesson 9
1. Add and subtract mixed time units

Lesson 10 Lesson 11		1. Multi-step measurement word problems
Lesson 10 Lesson 11
1. Multi-step measurement word problems
Topic C - Investigation of Measurements Expressed as Mixed Numbers
Lesson 12 Lesson 13		1. Convert customary units involving fractions and mixed numbers 2. Convert time units involving fractions
Lesson 12 Lesson 13
1. Convert customary units involving fractions and mixed numbers 2. Convert time units involving fractions

Lesson 14		1. Measurement word problems with fractions
Lesson 14
1. Measurement word problems with fractions
Topic D - Year in Review
Lesson 15		1. Area of complex figures 2. Area between two rectangles Also consider: • Find the area of complex figures by dividing them into rectangles • Use area and perimeter to determine cost
Lesson 15
1. Area of complex figures 2. Area between two rectangles Also consider: • Find the area of complex figures by dividing them into rectangles • Use area and perimeter to determine cost

Lesson 16		1. Area and perimeter of complex figures: word problems
Lesson 16
1. Area and perimeter of complex figures: word problems

Lesson 17		Fractions 1. Fractions review 2. Patterns of equivalent fractions 3. Compare fractions 4. Order fractions Fractions, decimals, and mixed numbers 5. Graph fractions as decimals on number lines 6. Model decimals and fractions 7. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 Addition and subtraction 8. Add and subtract numbers up to six digits 9. Addition and subtraction: fill in the missing digits 10. Add two numbers up to seven digits: word problems Multiplication and division 11. Use one multiplication fact to complete another 12. Review: Multiply a 2-digit number by a 2-digit number 13. Divide 2-digit and 3-digit numbers by 1-digit numbers 14. Multiplication and division word problems: numbers up to 4-digits
Lesson 17
Fractions 1. Fractions review 2. Patterns of equivalent fractions 3. Compare fractions 4. Order fractions Fractions, decimals, and mixed numbers 5. Graph fractions as decimals on number lines 6. Model decimals and fractions 7. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 Addition and subtraction 8. Add and subtract numbers up to six digits 9. Addition and subtraction: fill in the missing digits 10. Add two numbers up to seven digits: word problems Multiplication and division 11. Use one multiplication fact to complete another 12. Review: Multiply a 2-digit number by a 2-digit number 13. Divide 2-digit and 3-digit numbers by 1-digit numbers 14. Multiplication and division word problems: numbers up to 4-digits

Lesson 18
Lesson 18

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