IXL skill plan | 3rd grade plan for Bridges® in Mathematics

Skill plan for Bridges^® in Mathematics - 3rd grade

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

Unit

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1	Unit 1 Addition & Subtraction Patterns
Module 1 - Community Building & Addition Facts to Twenty
Session 1: Making People Glyphs
Session 1: Making People Glyphs


Session 2: Sorting & Classifying People Glyphs		1. Read bar graphs
Session 2: Sorting & Classifying People Glyphs
1. Read bar graphs

Session 3: Unit 1 Pre-Assessment & Number Rack Review		1. Write addition sentences to describe pictures - sums to 20 Also consider: • Addition with pictures - sums to 20
Session 3: Unit 1 Pre-Assessment & Number Rack Review
1. Write addition sentences to describe pictures - sums to 20 Also consider: • Addition with pictures - sums to 20

Session 4: The Addition Table, Part 1		1. Add doubles 2. Add near doubles 3. Complete the addition sentence: make ten
Session 4: The Addition Table, Part 1
1. Add doubles 2. Add near doubles 3. Complete the addition sentence: make ten

Session 5: The Addition Table, Part 2		1. Add one-digit numbers 2. Complete the addition sentence: sums to 20 3. Ways to make a number with addition - sums to 20
Session 5: The Addition Table, Part 2
1. Add one-digit numbers 2. Complete the addition sentence: sums to 20 3. Ways to make a number with addition - sums to 20
Module 2 - Subtraction Facts to Twenty
Session 1: The Subtraction Table, Part 1		1. Subtract zero/all 2. Subtract a one-digit number from a two-digit number up to 18 Also consider: • Subtraction with pictures
Session 1: The Subtraction Table, Part 1
1. Subtract zero/all 2. Subtract a one-digit number from a two-digit number up to 18 Also consider: • Subtraction with pictures

Session 2: The Subtraction Table, Part 2		1. Subtract doubles 2. Subtract a two-digit number from a two-digit number up to 18 Also consider: • Fact families
Session 2: The Subtraction Table, Part 2
1. Subtract doubles 2. Subtract a two-digit number from a two-digit number up to 18 Also consider: • Fact families

Session 3: Addition & Subtraction Checkpoint		1. Ways to subtract - up to 10 2. Add and subtract numbers up to 20 3. Addition and subtraction word problems: up to 20 Also consider: • Addition and subtraction sentences for word problems - up to 20
Session 3: Addition & Subtraction Checkpoint
1. Ways to subtract - up to 10 2. Add and subtract numbers up to 20 3. Addition and subtraction word problems: up to 20 Also consider: • Addition and subtraction sentences for word problems - up to 20

Session 4: Introducing Work Place 1D Subtraction Bingo		1. Complete addition and subtraction sentences: up to 20 2. Balance addition and subtraction equations - up to 20
Session 4: Introducing Work Place 1D Subtraction Bingo
1. Complete addition and subtraction sentences: up to 20 2. Balance addition and subtraction equations - up to 20
Module 3 - Double-Digit Addition
Session 1: Scavenger Hunt for Lengths		1. Count forward and backward by tens 2. Measure using a centimeter ruler Also consider: • Addition and subtraction - ways to make a number - up to 20
Session 1: Scavenger Hunt for Lengths
1. Count forward and backward by tens 2. Measure using a centimeter ruler Also consider: • Addition and subtraction - ways to make a number - up to 20

Session 2: Adding Lengths		1. Addition sentences using number lines - sums up to 20
Session 2: Adding Lengths
1. Addition sentences using number lines - sums up to 20

Session 3: Adding Lengths Forum		1. Add three or more one-digit numbers 2. Add three or more one-digit numbers: word problems
Session 3: Adding Lengths Forum
1. Add three or more one-digit numbers 2. Add three or more one-digit numbers: word problems

Session 4: Introducing Work Place 1E Carrot Grab		1. Add multiples of 10 2. Use models to add two-digit numbers
Session 4: Introducing Work Place 1E Carrot Grab
1. Add multiples of 10 2. Use models to add two-digit numbers

Session 5: Strings & Strategies		1. Add two-digit numbers: sums up to 100
Session 5: Strings & Strategies
1. Add two-digit numbers: sums up to 100
Module 4 - Story Problems & Strategies
Session 1: Introducing Work Place 1F Rabbit Tracks		1. Add multiples of 10 or 100 Also consider: • Place value - ones, tens, and hundreds
Session 1: Introducing Work Place 1F Rabbit Tracks
1. Add multiples of 10 or 100 Also consider: • Place value - ones, tens, and hundreds

Session 2: Two-Digit Addition Story Problems		1. Addition word problems: up to 100
Session 2: Two-Digit Addition Story Problems
1. Addition word problems: up to 100

Session 3: Two-Digit Addition Story Problems Forum		1. Add and subtract numbers up to 100 2. Addition and subtraction word problems: up to 100
Session 3: Two-Digit Addition Story Problems Forum
1. Add and subtract numbers up to 100 2. Addition and subtraction word problems: up to 100

Session 4: Strategies for Subtracting Two-Digit Numbers		1. Subtract numbers up to two digits Also consider: • Subtraction word problems: up to 100
Session 4: Strategies for Subtracting Two-Digit Numbers
1. Subtract numbers up to two digits Also consider: • Subtraction word problems: up to 100

Session 5: Multi-Step Subtraction Problems		1. Two-step addition and subtraction word problems: up to 100 Also consider: • Add and subtract money - up to $1: word problems
Session 5: Multi-Step Subtraction Problems
1. Two-step addition and subtraction word problems: up to 100 Also consider: • Add and subtract money - up to $1: word problems

Session 6: Unit 1 Post-Assessment		1. Add two-digit numbers: sums up to 200
Session 6: Unit 1 Post-Assessment
1. Add two-digit numbers: sums up to 200

2	Unit 2 Introduction to Multiplication
Module 1 - Multiplication in Context
Session 1: The Pet Store		1. Count equal groups 2. Write addition sentences for arrays: sums to 25 Also consider: • Skip-counting sequences • Identify repeated addition for arrays: sums to 25
Session 1: The Pet Store
1. Count equal groups 2. Write addition sentences for arrays: sums to 25 Also consider: • Skip-counting sequences • Identify repeated addition for arrays: sums to 25

Session 2: Unit 2 Pre-Assessment		1. Identify multiplication expressions for equal groups Also consider: • Relate addition and multiplication
Session 2: Unit 2 Pre-Assessment
1. Identify multiplication expressions for equal groups Also consider: • Relate addition and multiplication

Session 3: Stamps & Assessment Reflections		1. Relate addition and multiplication for equal groups
Session 3: Stamps & Assessment Reflections
1. Relate addition and multiplication for equal groups

Session 4: Stamps		1. Multiplication word problems with factors up to 5
Session 4: Stamps
1. Multiplication word problems with factors up to 5

Session 5: Seascape Problems		1. Write multiplication sentences for equal groups Also consider: • Write variable equations to represent word problems: addition, subtraction, and multiplication
Session 5: Seascape Problems
1. Write multiplication sentences for equal groups Also consider: • Write variable equations to represent word problems: addition, subtraction, and multiplication

Session 6: Seascape Forum		1. Multiplication word problems with factors up to 5: find the missing number
Session 6: Seascape Forum
1. Multiplication word problems with factors up to 5: find the missing number
Module 2 - Multiplying with Arrays & Number Lines
Session 1: Count-Arounds		1. Skip-counting puzzles
Session 1: Count-Arounds
1. Skip-counting puzzles

Session 2: Cube Trains & Multiples Strips		1. Compare numbers using multiplication Also consider: • Compare numbers using multiplication: word problems
Session 2: Cube Trains & Multiples Strips
1. Compare numbers using multiplication Also consider: • Compare numbers using multiplication: word problems

Session 3: Watertown's Window Washer		1. Identify multiplication expressions for arrays 2. Write multiplication sentences for number lines 3. Multiply using number lines
Session 3: Watertown's Window Washer
1. Identify multiplication expressions for arrays 2. Write multiplication sentences for number lines 3. Multiply using number lines

Session 4: Wally Keeps Washing		1. Multiply by 5 and 10 Also consider: • Distributive property: find the missing factor
Session 4: Wally Keeps Washing
1. Multiply by 5 and 10 Also consider: • Distributive property: find the missing factor

Session 5: The Watertown Post Office		1. Write multiplication sentences for arrays 2. Make arrays to model multiplication
Session 5: The Watertown Post Office
1. Write multiplication sentences for arrays 2. Make arrays to model multiplication
Module 3 - Ratio Tables & the Multiplication Table
Session 1: Doubling String & Pet Store Story Problems		1. Multiply 2 by numbers up to 10 Also consider: • Multiplication facts for 2, 3, 4, and 5: find the missing factor
Session 1: Doubling String & Pet Store Story Problems
1. Multiply 2 by numbers up to 10 Also consider: • Multiplication facts for 2, 3, 4, and 5: find the missing factor

Session 2: Price Lists		1. Multiplication input/output tables Also consider: • Multiplication input/output tables: find the rule
Session 2: Price Lists
1. Multiplication input/output tables Also consider: • Multiplication input/output tables: find the rule

Session 3: Multiplication Strategies, Part 1 of 2		1. Multiplication facts for 2, 3, 4, and 8 Also consider: • Complete the addition, subtraction, or multiplication sentence • Multiplication facts up to 10: true or false?
Session 3: Multiplication Strategies, Part 1 of 2
1. Multiplication facts for 2, 3, 4, and 8 Also consider: • Complete the addition, subtraction, or multiplication sentence • Multiplication facts up to 10: true or false?

Session 4: Multiplication Strategies, Part 2 of 2		1. Multiplication facts for 5, 6, 7, 9, and 10 Also consider: • Addition, subtraction, and multiplication word problems
Session 4: Multiplication Strategies, Part 2 of 2
1. Multiplication facts for 5, 6, 7, 9, and 10 Also consider: • Addition, subtraction, and multiplication word problems

Session 5: Ice Cream Survey		1. Create scaled picture graphs 2. Create scaled bar graphs Also consider: • Multiplication facts up to 10 • Multiplication facts up to 10: find the missing factor
Session 5: Ice Cream Survey
1. Create scaled picture graphs 2. Create scaled bar graphs Also consider: • Multiplication facts up to 10 • Multiplication facts up to 10: find the missing factor
Module 4 - Story Problems with Graphs & Multiple Operations
Session 1: Book Lovers Survey		1. Interpret scaled picture graphs
Session 1: Book Lovers Survey
1. Interpret scaled picture graphs

Session 2: Library Books Data		1. Interpret scaled bar graphs Also consider: • Interpret line plots
Session 2: Library Books Data
1. Interpret scaled bar graphs Also consider: • Interpret line plots

Session 3: Library Books Problems		1. Create line plots 2. Two-step addition and subtraction word problems
Session 3: Library Books Problems
1. Create line plots 2. Two-step addition and subtraction word problems

Session 4: Unit 2 Post-Assessment		1. Multiplication facts up to 10: sorting
Session 4: Unit 2 Post-Assessment
1. Multiplication facts up to 10: sorting

3	Unit 3 Multi-Digit Addition & Subtraction
Module 1 - Rounding & Multi-Digit Addition
Session 1: Unit 3 Pre-Assessment		1. Place value
Session 1: Unit 3 Pre-Assessment
1. Place value

Session 2: Rounding to the Nearest Ten		1. Round to the nearest ten using a number line 2. Round to the nearest ten
Session 2: Rounding to the Nearest Ten
1. Round to the nearest ten using a number line 2. Round to the nearest ten

Session 3: Round & Add Tens		1. Estimate sums: round to tens Also consider: • Estimate sums by rounding to the nearest ten: word problems
Session 3: Round & Add Tens
1. Estimate sums: round to tens Also consider: • Estimate sums by rounding to the nearest ten: word problems

Session 4: Rounding to the Nearest Hundred		1. Round to the nearest ten or hundred using a number line 2. Round to the nearest hundred 3. Add multiples of 100
Session 4: Rounding to the Nearest Hundred
1. Round to the nearest ten or hundred using a number line 2. Round to the nearest hundred 3. Add multiples of 100

Session 5: Three-Digit Addition Story Problems		1. Add two numbers up to three digits: word problems
Session 5: Three-Digit Addition Story Problems
1. Add two numbers up to three digits: word problems

Session 6: Three-Digit Addition Story Problems Forum		1. Write the addition sentence - up to three digits Also consider: • Add using properties
Session 6: Three-Digit Addition Story Problems Forum
1. Write the addition sentence - up to three digits Also consider: • Add using properties
Module 2 - Multi-Digit Subtraction
Session 1: Three-Digit Subtraction Story Problems		1. Subtract multiples of 10 or 100 Also consider: • Round to the nearest ten or hundred
Session 1: Three-Digit Subtraction Story Problems
1. Subtract multiples of 10 or 100 Also consider: • Round to the nearest ten or hundred

Session 2: Constant Difference		1. Use compensation to subtract: up to three digits 2. Subtract three-digit numbers: without regrouping Also consider: • Related subtraction facts
Session 2: Constant Difference
1. Use compensation to subtract: up to three digits 2. Subtract three-digit numbers: without regrouping Also consider: • Related subtraction facts

Session 3: Which Makes the Most Sense?		1. Estimate differences: up to three digits
Session 3: Which Makes the Most Sense?
1. Estimate differences: up to three digits

Session 4: Charting Subtraction Strategies		1. Estimate differences: word problems up to three digits
Session 4: Charting Subtraction Strategies
1. Estimate differences: word problems up to three digits

Session 5: Subtraction Strategies Forum		1. Solve for the unknown number: addition and subtraction only
Session 5: Subtraction Strategies Forum
1. Solve for the unknown number: addition and subtraction only
Module 3 - Estimating to Add & Subtract
Session 1: Round & Add Hundreds		1. Estimate sums: round to hundreds Also consider: • Estimate sums by rounding to the nearest hundred: word problems
Session 1: Round & Add Hundreds
1. Estimate sums: round to hundreds Also consider: • Estimate sums by rounding to the nearest hundred: word problems

Session 2: Sketching & Writing Expanded Notation		1. Place value models up to thousands 2. Convert between standard and expanded form: up to thousands
Session 2: Sketching & Writing Expanded Notation
1. Place value models up to thousands 2. Convert between standard and expanded form: up to thousands

Session 3: About How Far?		1. Round using a number line 2. Round to the nearest ten, hundred, or thousand
Session 3: About How Far?
1. Round using a number line 2. Round to the nearest ten, hundred, or thousand

Session 4: Solving Travel Miles Problems		1. Estimate sums and differences: word problems
Session 4: Solving Travel Miles Problems
1. Estimate sums and differences: word problems
Module 4 - Exploring the Algorithms for Addition & Subtraction
Session 1: Exploring the Algorithm for Addition		1. Use models to add three-digit numbers: without regrouping 2. Use models to add three-digit numbers: with regrouping
Session 1: Exploring the Algorithm for Addition
1. Use models to add three-digit numbers: without regrouping 2. Use models to add three-digit numbers: with regrouping

Session 2: Think Before You Add		1. Add two numbers up to three digits
Session 2: Think Before You Add
1. Add two numbers up to three digits

Session 3: Exploring the Algorithm for Subtraction		1. Subtract numbers up to three digits
Session 3: Exploring the Algorithm for Subtraction
1. Subtract numbers up to three digits

Session 4: Think Before You Subtract		1. Subtract numbers up to three digits: word problems 2. Subtract across zeros Also consider: • Balance subtraction equations: up to three digits
Session 4: Think Before You Subtract
1. Subtract numbers up to three digits: word problems 2. Subtract across zeros Also consider: • Balance subtraction equations: up to three digits

Session 5: Unit 3 Post-Assessment		1. Choose numbers with a particular sum or difference 2. Complete the addition or subtraction sentence 3. Addition and subtraction word problems: up to three digits
Session 5: Unit 3 Post-Assessment
1. Choose numbers with a particular sum or difference 2. Complete the addition or subtraction sentence 3. Addition and subtraction word problems: up to three digits

4	Unit 4 Measurement & Fractions
Module 1 - Measuring Time & Mass
Session 1: Unit 4 Pre-Assessment		1. Match clocks and times: half hours and hours only
Session 1: Unit 4 Pre-Assessment
1. Match clocks and times: half hours and hours only

Session 2: Telling Time		1. Match clocks and times 2. Match analog and digital clocks 3. Read clocks and write times Also consider: • Identify times written in words
Session 2: Telling Time
1. Match clocks and times 2. Match analog and digital clocks 3. Read clocks and write times Also consider: • Identify times written in words

Session 3: Time on a Number Line		1. Reading a timeline 2. Time word problems
Session 3: Time on a Number Line
1. Reading a timeline 2. Time word problems

Session 4: Measurement – Big, Strong, Fast		1. Which customary unit is appropriate? 2. Which metric unit is appropriate?
Session 4: Measurement – Big, Strong, Fast
1. Which customary unit is appropriate? 2. Which metric unit is appropriate?

Session 5: Measuring Mass
Session 5: Measuring Mass


Session 6: Estimate, Measure & Compare the Mass		1. Which metric unit of mass is appropriate? 2. Read a scale - metric units 3. Convert metric units of mass
Session 6: Estimate, Measure & Compare the Mass
1. Which metric unit of mass is appropriate? 2. Read a scale - metric units 3. Convert metric units of mass
Module 2 - Measuring Volume & Solving Measurement Story Problems
Session 1: Measuring Liquid Volume		1. Which metric unit of volume is appropriate? 2. Convert metric units of volume
Session 1: Measuring Liquid Volume
1. Which metric unit of volume is appropriate? 2. Convert metric units of volume

Session 2: Measurement Scavenger Hunt		1. Which metric unit of length is appropriate? 2. Convert metric units of length
Session 2: Measurement Scavenger Hunt
1. Which metric unit of length is appropriate? 2. Convert metric units of length

Session 3: Measurement Story Problems		1. Measurement word problems
Session 3: Measurement Story Problems
1. Measurement word problems

Session 4: More Measurement Problems		1. Compare metric units
Session 4: More Measurement Problems
1. Compare metric units

Session 5: Multi-Step Measurement Problems Forum		1. Metric units of length: word problems
Session 5: Multi-Step Measurement Problems Forum
1. Metric units of length: word problems
Module 3 - Fractions as Fair Shares
Session 1: Fair Shares, Unit Fractions		1. Identify equal parts 2. Make halves, thirds, fourths, sixths, and eighths
Session 1: Fair Shares, Unit Fractions
1. Identify equal parts 2. Make halves, thirds, fourths, sixths, and eighths

Session 2: Comparing & Ordering Unit Fractions		1. Compare unit fractions: denominators up to 12 2. Match unit fractions to models Also consider: • Unit fractions: modeling word problems • Unit fractions: word problems
Session 2: Comparing & Ordering Unit Fractions
1. Compare unit fractions: denominators up to 12 2. Match unit fractions to models Also consider: • Unit fractions: modeling word problems • Unit fractions: word problems

Session 3: Pattern Block Fractions		1. Compare fractions using models 2. Show fractions: area models
Session 3: Pattern Block Fractions
1. Compare fractions using models 2. Show fractions: area models

Session 4: Fractions as Distances		1. Identify fractions on number lines 2. Graph fractions on number lines
Session 4: Fractions as Distances
1. Identify fractions on number lines 2. Graph fractions on number lines

Session 5: Fractions on the Number Line		1. Compare fractions using number lines
Session 5: Fractions on the Number Line
1. Compare fractions using number lines
Module 4 - Fractions on a Line Plot
Session 1: Creating & Measuring Beanstalks		1. Measure using an inch ruler: nearest ¼ inch
Session 1: Creating & Measuring Beanstalks
1. Measure using an inch ruler: nearest ¼ inch

Session 2: Gathering & Recording Beanstalk Data		1. Create line plots with fractions
Session 2: Gathering & Recording Beanstalk Data
1. Create line plots with fractions

Session 3: Beanstalk Leaf Line Plots		1. Create and interpret line plots with fractions
Session 3: Beanstalk Leaf Line Plots
1. Create and interpret line plots with fractions

Session 4: Unit 4 Post-Assessment		1. Graph and compare fractions on number lines 2. Graph and order fractions on number lines 3. Compare fractions in recipes
Session 4: Unit 4 Post-Assessment
1. Graph and compare fractions on number lines 2. Graph and order fractions on number lines 3. Compare fractions in recipes

5	Unit 5 Multiplication, Division, & Area
Module 1 - Linking Multiplication & Division
Session 1: Unit 5 Pre-Assessment		1. Multiply 4 by numbers up to 10
Session 1: Unit 5 Pre-Assessment
1. Multiply 4 by numbers up to 10

Session 2: Connecting Multiplication & Division		1. Relate multiplication and division for groups 2. Relate multiplication and division 3. Divide by counting equal groups Also consider: • Write division sentences for groups • Skip-count
Session 2: Connecting Multiplication & Division
1. Relate multiplication and division for groups 2. Relate multiplication and division 3. Divide by counting equal groups Also consider: • Write division sentences for groups • Skip-count

Session 3: Multiplication & Division Arrays		1. Relate multiplication and division for arrays 2. Use arrays to solve multiplication word problems 3. Multiplication and division word problems: factors up to 5 4. Write two multiplication sentences for an array
Session 3: Multiplication & Division Arrays
1. Relate multiplication and division for arrays 2. Use arrays to solve multiplication word problems 3. Multiplication and division word problems: factors up to 5 4. Write two multiplication sentences for an array

Session 4: Game Story Problems, Part 1		1. Use equal groups to solve division word problems 2. Multiplication word problems with factors up to 10 Also consider: • Divide by 2: quotients up to 10
Session 4: Game Story Problems, Part 1
1. Use equal groups to solve division word problems 2. Multiplication word problems with factors up to 10 Also consider: • Divide by 2: quotients up to 10

Session 5: Game Story Problems, Part 2		1. Multiplication and division word problems Also consider: • Multiply 5 by numbers up to 10 • Divide by 5: quotients up to 10
Session 5: Game Story Problems, Part 2
1. Multiplication and division word problems Also consider: • Multiply 5 by numbers up to 10 • Divide by 5: quotients up to 10

Session 6: Game Story Problems, Part 3		1. Use equal groups and arrays to solve division word problems 2. Multiplication word problems with factors up to 10: find the missing number Also consider: • Multiply 10 by numbers up to 10 • Divide by 10: quotients up to 10
Session 6: Game Story Problems, Part 3
1. Use equal groups and arrays to solve division word problems 2. Multiplication word problems with factors up to 10: find the missing number Also consider: • Multiply 10 by numbers up to 10 • Divide by 10: quotients up to 10
Module 2 - Multiplication & Division Families
Session 1: Division Story Problems & Fact Families		1. Division word problems: divisors and quotients up to 5 2. Division facts for 2, 3, 4, 5, and 10 Also consider: • Multiplication and division facts up to 5: true or false?
Session 1: Division Story Problems & Fact Families
1. Division word problems: divisors and quotients up to 5 2. Division facts for 2, 3, 4, 5, and 10 Also consider: • Multiplication and division facts up to 5: true or false?

Session 2: Division Story Problems Forum		1. Multiply and divide by 5 and 10 2. Multiply and divide by 2, 4, and 8
Session 2: Division Story Problems Forum
1. Multiply and divide by 5 and 10 2. Multiply and divide by 2, 4, and 8

Session 3: What's Missing? Bingo		1. Multiplication and division facts up to 10: find the missing number 2. Multiplication facts up to 10: select the missing factors Also consider: • Divide by 4: quotients up to 10 • Multiply 8 by numbers up to 10 • Divide by 8: quotients up to 10
Session 3: What's Missing? Bingo
1. Multiplication and division facts up to 10: find the missing number 2. Multiplication facts up to 10: select the missing factors Also consider: • Divide by 4: quotients up to 10 • Multiply 8 by numbers up to 10 • Divide by 8: quotients up to 10

Session 4: True or False?		1. Multiplication and division facts up to 10: true or false? 2. Multiplication sentences up to 10: true or false? 3. Division sentences up to 10: true or false? Also consider: • Multiply 6 by numbers up to 10 • Divide by 6: quotients up to 10
Session 4: True or False?
1. Multiplication and division facts up to 10: true or false? 2. Multiplication sentences up to 10: true or false? 3. Division sentences up to 10: true or false? Also consider: • Multiply 6 by numbers up to 10 • Divide by 6: quotients up to 10
Module 3 - Division Practice
Session 1: Sharing & Grouping Problems		1. Division word problems Also consider: • Multiply 3 by numbers up to 10 • Divide by 3: quotients up to 10 • Division facts up to 10: true or false?
Session 1: Sharing & Grouping Problems
1. Division word problems Also consider: • Multiply 3 by numbers up to 10 • Divide by 3: quotients up to 10 • Division facts up to 10: true or false?

Session 2: Sharing & Grouping Forum		1. Write division sentences for arrays 2. Make arrays to model division Also consider: • Multiply 9 by numbers up to 10 • Divide by 9: quotients up to 10
Session 2: Sharing & Grouping Forum
1. Write division sentences for arrays 2. Make arrays to model division Also consider: • Multiply 9 by numbers up to 10 • Divide by 9: quotients up to 10

Session 3: Line 'Em Up		1. Pick the model that shows a division expression 2. Divide two-digit numbers by one-digit numbers using arrays Also consider: • Multiply 7 by numbers up to 10 • Divide by 7: quotients up to 10
Session 3: Line 'Em Up
1. Pick the model that shows a division expression 2. Divide two-digit numbers by one-digit numbers using arrays Also consider: • Multiply 7 by numbers up to 10 • Divide by 7: quotients up to 10

Session 4: Division Capture		1. Division facts up to 10: find the missing number 2. Division facts up to 10: select the missing numbers Also consider: • Squares up to 10 x 10
Session 4: Division Capture
1. Division facts up to 10: find the missing number 2. Division facts up to 10: select the missing numbers Also consider: • Squares up to 10 x 10
Module 4 - Introducing Area
Session 1: Paper Rectangles		1. Division facts up to 10 2. Find the area of figures made of unit squares
Session 1: Paper Rectangles
1. Division facts up to 10 2. Find the area of figures made of unit squares

Session 2: Finding Areas Large & Small		1. Tile a rectangle and find the area
Session 2: Finding Areas Large & Small
1. Tile a rectangle and find the area

Session 3: Measuring Area in Customary Units		1. Area of figures on grids Also consider: • Find the area of rectangles: word problems
Session 3: Measuring Area in Customary Units
1. Area of figures on grids Also consider: • Find the area of rectangles: word problems

Session 4: Rainbow Rectangles		1. Use multiplication to find the area of a rectangle made of unit squares Also consider: • Select figures with a given area • Select two figures with the same area
Session 4: Rainbow Rectangles
1. Use multiplication to find the area of a rectangle made of unit squares Also consider: • Select figures with a given area • Select two figures with the same area

Session 5: Adding Areas		1. Multiply one-digit numbers using grids 2. Multiply using the distributive property
Session 5: Adding Areas
1. Multiply one-digit numbers using grids 2. Multiply using the distributive property

Session 6: Unit 5 Post-Assessment		1. Division facts for 6, 7, 8, and 9 2. Division facts for 6, 7, 8, and 9: sorting 3. Addition, subtraction, multiplication, and division word problems 4. Solve for the unknown number: multiplication and division only 5. Write equations with unknown numbers to represent word problems: multiplication and division only
Session 6: Unit 5 Post-Assessment
1. Division facts for 6, 7, 8, and 9 2. Division facts for 6, 7, 8, and 9: sorting 3. Addition, subtraction, multiplication, and division word problems 4. Solve for the unknown number: multiplication and division only 5. Write equations with unknown numbers to represent word problems: multiplication and division only

6	Unit 6 Geometry
Module 1 - Investigating Polygons
Session 1: Unit 6 Pre-Assessment		1. Open and closed shapes 2. Is it a polygon? Also consider: • Identify polygons: up to 8 sides
Session 1: Unit 6 Pre-Assessment
1. Open and closed shapes 2. Is it a polygon? Also consider: • Identify polygons: up to 8 sides

Session 2: Attributes of a Rectangle		1. Identify rectangles Also consider: • Parallel sides in quadrilaterals • Angles greater than, less than, or equal to a right angle
Session 2: Attributes of a Rectangle
1. Identify rectangles Also consider: • Parallel sides in quadrilaterals • Angles greater than, less than, or equal to a right angle

Session 3: Creating Shape Posters		1. Identify parallelograms 2. Identify trapezoids 3. Identify rhombuses Also consider: • Sort shapes into a Venn diagram
Session 3: Creating Shape Posters
1. Identify parallelograms 2. Identify trapezoids 3. Identify rhombuses Also consider: • Sort shapes into a Venn diagram

Session 4: Creating Tangrams		1. Identify congruent shapes Also consider: • Acute, obtuse, and right triangles
Session 4: Creating Tangrams
1. Identify congruent shapes Also consider: • Acute, obtuse, and right triangles

Session 5: Constructing Polygons with Tangrams		1. Compose two-dimensional shapes
Session 5: Constructing Polygons with Tangrams
1. Compose two-dimensional shapes
Module 2 - Quadrilaterals
Session 1: Making Toothpick Polygons		1. Count and compare sides and vertices
Session 1: Making Toothpick Polygons
1. Count and compare sides and vertices

Session 2: Introducing Geoboard Polygons		1. Draw squares, rectangles, rhombuses, parallelograms, and trapezoids
Session 2: Introducing Geoboard Polygons
1. Draw squares, rectangles, rhombuses, parallelograms, and trapezoids

Session 3: Sorting Quadrilaterals		1. Pick all the names for a quadrilateral
Session 3: Sorting Quadrilaterals
1. Pick all the names for a quadrilateral

Session 4: Guess My Quadrilateral		1. Classify squares, rectangles, rhombuses, parallelograms, and trapezoids 2. Name quadrilaterals more than one way
Session 4: Guess My Quadrilateral
1. Classify squares, rectangles, rhombuses, parallelograms, and trapezoids 2. Name quadrilaterals more than one way

Session 5: Writing Quadrilateral Riddles		1. Sides and angles of quadrilaterals
Session 5: Writing Quadrilateral Riddles
1. Sides and angles of quadrilaterals

Session 6: Perimeters of Paper Quadrilaterals		1. Perimeter of quadrilaterals
Session 6: Perimeters of Paper Quadrilaterals
1. Perimeter of quadrilaterals
Module 3 - Perimeter & Area
Session 1: The 329th Friend: How Many Tables? Part 1		1. Perimeter of figures on grids Also consider: • Multiplication and division: real-world patterns • Perimeter of rectilinear shapes
Session 1: The 329th Friend: How Many Tables? Part 1
1. Perimeter of figures on grids Also consider: • Multiplication and division: real-world patterns • Perimeter of rectilinear shapes

Session 2: The 329th Friend: How Many Tables? Part 2		1. Perimeter of rectangles Also consider: • Relationship between area and perimeter: find the area
Session 2: The 329th Friend: How Many Tables? Part 2
1. Perimeter of rectangles Also consider: • Relationship between area and perimeter: find the area

Session 3: Metric Rectangles		1. Multiply to find the area of a rectangle made of unit squares 2. Find the area or perimeter of rectangles and squares Also consider: • Find the perimeter: word problems
Session 3: Metric Rectangles
1. Multiply to find the area of a rectangle made of unit squares 2. Find the area or perimeter of rectangles and squares Also consider: • Find the perimeter: word problems

Session 4: Bayard's Borrowed Tables		1. Create rectangles and squares with a given area Also consider: • Relationship between area and perimeter: find the perimeter • Compare area and perimeter of two figures
Session 4: Bayard's Borrowed Tables
1. Create rectangles and squares with a given area Also consider: • Relationship between area and perimeter: find the perimeter • Compare area and perimeter of two figures

Session 5: Area & Perimeter Problems		1. Find the area of complex figures by dividing them into rectangles 2. Find the area of complex figures
Session 5: Area & Perimeter Problems
1. Find the area of complex figures by dividing them into rectangles 2. Find the area of complex figures
Module 4 - Shapes & Fractions
Session 1: Exploring Halves on a Geoboard		1. Make halves 2. Understand fractions: area models 3. Find equivalent fractions using area models: two models
Session 1: Exploring Halves on a Geoboard
1. Make halves 2. Understand fractions: area models 3. Find equivalent fractions using area models: two models

Session 2: Fractions on a Geoboard		1. Make halves, fourths, and eighths 2. Show fractions: fraction bars 3. Compare fractions with like denominators using models 4. Compare fractions with like numerators using models
Session 2: Fractions on a Geoboard
1. Make halves, fourths, and eighths 2. Show fractions: fraction bars 3. Compare fractions with like denominators using models 4. Compare fractions with like numerators using models

Session 3: Geoboard Quilt Blocks		1. Find equivalent fractions using area models: one model 2. Compare fractions with like denominators 3. Compare fractions with like numerators
Session 3: Geoboard Quilt Blocks
1. Find equivalent fractions using area models: one model 2. Compare fractions with like denominators 3. Compare fractions with like numerators

Session 4: Unit 6 Post-Assessment		1. Find the perimeter of rectangles and squares: use properties 2. Perimeter: word problems Also consider: • Count coins and bills word problems - up to $5 bill • Making change
Session 4: Unit 6 Post-Assessment
1. Find the perimeter of rectangles and squares: use properties 2. Perimeter: word problems Also consider: • Count coins and bills word problems - up to $5 bill • Making change

7	Unit 7 Extending Multiplication & Fractions
Module 1 - Multiplication Beyond the Basics
Session 1: Unit 7 Pre-Assessment		1. Multiply three numbers 2. Multiplication facts for 2, 3, 4, 5, and 10 3. Multiplication facts for 6, 7, 8, and 9
Session 1: Unit 7 Pre-Assessment
1. Multiply three numbers 2. Multiplication facts for 2, 3, 4, 5, and 10 3. Multiplication facts for 6, 7, 8, and 9

Session 2: Multiplication Stories & Equations		1. Multiply three numbers: word problems Also consider: • Write equations with unknown numbers to represent word problems • Perform multiple operations with whole numbers
Session 2: Multiplication Stories & Equations
1. Multiply three numbers: word problems Also consider: • Write equations with unknown numbers to represent word problems • Perform multiple operations with whole numbers

Session 3: Multiplying by Eleven		1. Multiply 11 by numbers up to 12 Also consider: • Two-step multiplication and division word problems
Session 3: Multiplying by Eleven
1. Multiply 11 by numbers up to 12 Also consider: • Two-step multiplication and division word problems

Session 4: Multiplying by Twelve		1. Multiply 12 by numbers up to 12 Also consider: • Multiplication facts to 12 • Multiplication facts up to 12: true or false?
Session 4: Multiplying by Twelve
1. Multiply 12 by numbers up to 12 Also consider: • Multiplication facts to 12 • Multiplication facts up to 12: true or false?

Session 5: Multiplying Single Digits by Multiples of Ten		1. Multiply by a multiple of ten Also consider: • Multiply by a multiple of 100 • Multiply by a multiple of ten using place value
Session 5: Multiplying Single Digits by Multiples of Ten
1. Multiply by a multiple of ten Also consider: • Multiply by a multiple of 100 • Multiply by a multiple of ten using place value
Module 2 - One-By-Two Digit Multiplication
Session 1: Building Arrays for One-by-Two-Digit Multiplication Problems		1. Multiply one-digit numbers by teen numbers using grids 2. Break apart two-digit numbers to multiply
Session 1: Building Arrays for One-by-Two-Digit Multiplication Problems
1. Multiply one-digit numbers by teen numbers using grids 2. Break apart two-digit numbers to multiply

Session 2: Sketching Arrays for One-by-Two-Digit Multiplication		1. Multiply one-digit numbers by two-digit numbers using area models I 2. Multiply one-digit numbers by two-digit numbers: word problems Also consider: • Multiplication and division facts up to 12: true or false?
Session 2: Sketching Arrays for One-by-Two-Digit Multiplication
1. Multiply one-digit numbers by two-digit numbers using area models I 2. Multiply one-digit numbers by two-digit numbers: word problems Also consider: • Multiplication and division facts up to 12: true or false?

Session 3: Mystery Arrays		1. Multiply one-digit numbers by two-digit numbers using area models II Also consider: • Multiplication and division sentences up to 12: true or false? • Multi-step inequalities
Session 3: Mystery Arrays
1. Multiply one-digit numbers by two-digit numbers using area models II Also consider: • Multiplication and division sentences up to 12: true or false? • Multi-step inequalities

Session 4: Making Posters for One-by-Two Arrays		1. Multiply one-digit numbers by two-digit numbers Also consider: • Multiplication facts up to 12: find the missing factor • Multiplication facts up to 12: select the missing factors
Session 4: Making Posters for One-by-Two Arrays
1. Multiply one-digit numbers by two-digit numbers Also consider: • Multiplication facts up to 12: find the missing factor • Multiplication facts up to 12: select the missing factors

Session 5: Sharing Multiplication Posters		1. Inequalities with multiplication Also consider: • Solve using properties of multiplication • Multiplication sentences up to 12: true or false?
Session 5: Sharing Multiplication Posters
1. Inequalities with multiplication Also consider: • Solve using properties of multiplication • Multiplication sentences up to 12: true or false?
Module 3 - Fractions as Parts of a Whole & Parts of a Set
Session 1: Fractions on a Ruler		1. Multiplication patterns: multiples of 10 and 100 2. Unit fractions of number lines
Session 1: Fractions on a Ruler
1. Multiplication patterns: multiples of 10 and 100 2. Unit fractions of number lines

Session 2: Introduction to Egg Carton Fractions		1. Match unit fractions to models Also consider: • Identify unit fractions on number lines • Graph fractions equivalent to 1 on number lines • Modeling word problems involving unit fractions
Session 2: Introduction to Egg Carton Fractions
1. Match unit fractions to models Also consider: • Identify unit fractions on number lines • Graph fractions equivalent to 1 on number lines • Modeling word problems involving unit fractions

Session 3: Exploring Egg Carton Fractions		1. Show fractions: area models 2. Understand fractions: area models 3. Find equivalent fractions using two models: denominators up to 12 Also consider: • Modeling word problems involving fractions of a whole
Session 3: Exploring Egg Carton Fractions
1. Show fractions: area models 2. Understand fractions: area models 3. Find equivalent fractions using two models: denominators up to 12 Also consider: • Modeling word problems involving fractions of a whole

Session 4: Equivalent Egg Carton Fractions		1. Identify equivalent fractions on number lines 2. Find equivalent fractions using number lines 3. Find equivalent fractions using fraction strips Also consider: • Fractions of a group: word problems
Session 4: Equivalent Egg Carton Fractions
1. Identify equivalent fractions on number lines 2. Find equivalent fractions using number lines 3. Find equivalent fractions using fraction strips Also consider: • Fractions of a group: word problems

Session 5: Dozens of Eggs		1. Add fractions with like denominators using area models
Session 5: Dozens of Eggs
1. Add fractions with like denominators using area models
Module 4 - Fractions at Work
Session 1: Racing Fractions		1. Fractions of number lines 2. Add fractions using number lines Also consider: • Graph smaller or larger fractions on a number line
Session 1: Racing Fractions
1. Fractions of number lines 2. Add fractions using number lines Also consider: • Graph smaller or larger fractions on a number line

Session 2: Pizza Fractions		1. Compare fractions and justify your answer 2. Match fractions to models Also consider: • Add and subtract fractions with like denominators: word problems
Session 2: Pizza Fractions
1. Compare fractions and justify your answer 2. Match fractions to models Also consider: • Add and subtract fractions with like denominators: word problems

Session 3: Surveys & Fractions		1. Fractions of a group 2. Identify equivalent fractions 3. Fractions of a number - unit fractions: word problems Also consider: • Interpret tally charts • Fractions of a number - unit fractions
Session 3: Surveys & Fractions
1. Fractions of a group 2. Identify equivalent fractions 3. Fractions of a number - unit fractions: word problems Also consider: • Interpret tally charts • Fractions of a number - unit fractions

Session 4: Pull & Graph		1. Graph and compare fractions with like denominators on number lines 2. Graph and compare fractions with like numerators on number lines Also consider: • Certain, probable, unlikely, and impossible
Session 4: Pull & Graph
1. Graph and compare fractions with like denominators on number lines 2. Graph and compare fractions with like numerators on number lines Also consider: • Certain, probable, unlikely, and impossible

Session 5: Unit 7 Post-Assessment		1. Find equivalent fractions 2. Word problems involving fractions of a whole
Session 5: Unit 7 Post-Assessment
1. Find equivalent fractions 2. Word problems involving fractions of a whole

8	Unit 8 Bridge Design & Construction: Data Collection & Analysis
Module 1 - Introducing Bridges
Session 1: What We Know & Wonder About Bridges		1. Add and subtract data from tables: up to three digits 2. Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor
Session 1: What We Know & Wonder About Bridges
1. Add and subtract data from tables: up to three digits 2. Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor

Session 2: Three Kinds of Bridges		1. Make arrays to model multiplication: given products 2. Multiplication facts for 6, 7, 8, and 9: find the missing factor
Session 2: Three Kinds of Bridges
1. Make arrays to model multiplication: given products 2. Multiplication facts for 6, 7, 8, and 9: find the missing factor

Session 3: Researching & Building Beam Bridges		1. Rectangles with the same perimeter or area 2. Find the area of rectangles and squares 3. Find the missing side length of a rectangle Also consider: • Find the area between two rectangles
Session 3: Researching & Building Beam Bridges
1. Rectangles with the same perimeter or area 2. Find the area of rectangles and squares 3. Find the missing side length of a rectangle Also consider: • Find the area between two rectangles

Session 4: Building & Testing Paper Beam Bridges		1. Division facts up to 10: sorting 2. Greatest and least: numbers up to 10,000 Also consider: • Solve for the unknown number • Comparison word problems: addition or multiplication?
Session 4: Building & Testing Paper Beam Bridges
1. Division facts up to 10: sorting 2. Greatest and least: numbers up to 10,000 Also consider: • Solve for the unknown number • Comparison word problems: addition or multiplication?

Session 5: Researching & Testing Arch Bridges		1. Create line plots II 2. Complete the addition, subtraction, multiplication, or division sentence Also consider: • Division patterns over increasing place values: up to hundreds
Session 5: Researching & Testing Arch Bridges
1. Create line plots II 2. Complete the addition, subtraction, multiplication, or division sentence Also consider: • Division patterns over increasing place values: up to hundreds
Module 2 - Investigating Structures in Bridges
Session 1: More Measurement Olympics		1. Make halves, thirds, and fourths in different ways 2. Find the elapsed time 3. Area and perimeter of rectangles: find the missing side length Also consider: • Find the elapsed time: word problems • Create rectangles with a given area
Session 1: More Measurement Olympics
1. Make halves, thirds, and fourths in different ways 2. Find the elapsed time 3. Area and perimeter of rectangles: find the missing side length Also consider: • Find the elapsed time: word problems • Create rectangles with a given area

Session 2: Introducing Suspension Bridges		1. Choose the appropriate measuring tool
Session 2: Introducing Suspension Bridges
1. Choose the appropriate measuring tool

Session 3: Researching & Building Suspension Bridges		1. Two-step word problems: identify reasonable answers 2. Measure using an inch ruler: nearest 1/4 inch
Session 3: Researching & Building Suspension Bridges
1. Two-step word problems: identify reasonable answers 2. Measure using an inch ruler: nearest 1/4 inch

Session 4: Sorting & Graphing Bridges		1. Use bar graphs to solve problems Also consider: • Interpret picture graphs: multiples of 10
Session 4: Sorting & Graphing Bridges
1. Use bar graphs to solve problems Also consider: • Interpret picture graphs: multiples of 10

Session 5: Exploring Shapes in Bridges		1. Draw quadrilaterals II 2. Make halves, thirds, and fourths 3. Perimeter: find the missing side length
Session 5: Exploring Shapes in Bridges
1. Draw quadrilaterals II 2. Make halves, thirds, and fourths 3. Perimeter: find the missing side length
Module 3 - Planning, Building, & Analyzing Bridges
Session 1: Planning Strong Bridges		1. Make sixths and eighths 2. Reading schedules
Session 1: Planning Strong Bridges
1. Make sixths and eighths 2. Reading schedules

Session 2: Building Strong Bridges		1. Find the start time, the end time, or the elapsed time: word problems
Session 2: Building Strong Bridges
1. Find the start time, the end time, or the elapsed time: word problems

Session 3: Strong Bridge Trial & Analysis		1. Create bar graphs: multi-digit numbers
Session 3: Strong Bridge Trial & Analysis
1. Create bar graphs: multi-digit numbers

Session 4: Planning & Building Long Bridges		1. Two-step mixed operation word problems 2. Perimeter of polygons
Session 4: Planning & Building Long Bridges
1. Two-step mixed operation word problems 2. Perimeter of polygons

Session 5: Long Bridge Analysis, Part 1		1. Create line plots with halves 2. Compare fractions Also consider: • Order fractions
Session 5: Long Bridge Analysis, Part 1
1. Create line plots with halves 2. Compare fractions Also consider: • Order fractions

Session 6: Long Bridge Analysis, Part 2		1. Interpret frequency tables
Session 6: Long Bridge Analysis, Part 2
1. Interpret frequency tables
Module 4 - Demonstrating Our Learning About Bridges
Session 1: Planning Longer & Stronger Bridges		1. Multiply whole numbers in recipes
Session 1: Planning Longer & Stronger Bridges
1. Multiply whole numbers in recipes

Session 2: Building Longer & Stronger Bridges		1. Perform multiple operations with whole numbers
Session 2: Building Longer & Stronger Bridges
1. Perform multiple operations with whole numbers

Session 3: Measuring & Drawing the Final Bridges		1. Shape patterns 2. Find the end time: word problems
Session 3: Measuring & Drawing the Final Bridges
1. Shape patterns 2. Find the end time: word problems

Session 4: Analyzing Final Results & Drawing Conclusions About Bridges		1. Interpret bar graphs: multi-digit numbers
Session 4: Analyzing Final Results & Drawing Conclusions About Bridges
1. Interpret bar graphs: multi-digit numbers

This document includes the IXL® skill alignments to The Math Learning Center's Bridges^® in Mathematics 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 The Math Learning Center 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.