Change text size
Show/Hide TOC
NAME ______________________________ DATE _______________
ACTIVITY
(PAGE 2 OF 2)
Doubles and Halves
-
2 Look at your solutions to the two problems in 1f.
-
a. Use arrays, pictures, or a story context to show how the two problems are related.
-
b. Explain what your representation shows.
-
c. Write a rule about what you think happens when you double one factor and cut the other factor in half in a multiplication problem.
-
Table of Contents
Investigations 3 in Number, Data, and Space®, Student Activity Book
Unit 1 Arrays, Factors, and Multiplicative Comparison
Investigation 1
Investigation 2
Unit 2 Generating and Representing Measurement Data
- How Many in This Array?
- Things That Come in Arrays
- Arrays All Around Us
- More Things That Come in Arrays
- About the Mathematics in This Unit
- Addition Starter Problems
- Related Activities to Try at Home
- Looking at Our Arrays
- How Many Groups?
- Reviewing Multiplication Facts
- About Mathematics Homework
- Array Picture Problems
- Class Collections
- Reviewing Multiplication Facts 2
- Multiplicative Comparison Problems
- Solving Multiplicative Comparison Problems
- Prime or Composite
- More Multiplicative Comparison Problems
- Collecting 1,000 Pennies
- More Prime or Composite
- Distance Problems
- Related Problem Sets
- Factors and Products
- Finding the Factors of 100
- Finding the Factors of 200
- Finding the Factors of 300
- How Many More?
- More Factors and Products
- Finding the Factors of Other Multiples of 100
- Story Problems
- How Many People Counted?
- Factors of 16 and 48
- More Multiplicative Comparison Problems 2
- Multiplying by Factors of 100
- Rock On!
Investigation 1
Investigation 2
Unit 3 Multiple Towers and Cluster Problems
- Choosing a Data Question
- Peanut Count
- How Many Cubes Can Students Grab?
- Number of Houses
- Composite or Prime?
- Comparison Problems
- What Did You Learn From Your Data Project?
- Leg Riddles
- Arranging Cans of Juice
- Mystery Data A
- Mystery Data B
- Mystery Data C
- Parking Lot Data
- More Composite or Prime?
- How Heavy Is Your Pumpkin?
Investigation 1
Investigation 2
Investigation 3
Unit 4 Measuring and Classifying Shapes
- Mr. Jones and the Bagels
- Multiplication Story Problems
- TV Time
- Planning a Party
- About the Mathematics in This Unit
- How Many People Counted?
- Leg Riddles
- Arranging Cans of Soup
- Matching Arrays
- Related Activities to Try at Home
- Breaking Up Arrays
- Solving Multiplication Problems
- Fundraiser Comparisons
- Lots of Legs
- Division Stories
- More Leg Riddles
- Division Problems
- What Do You Do with the Extras?
- Division with Remainders
- Story Problems
- More Division Stories
- Factor Pairs
- How Many People Counted?
- Division and Remainders
- What's the Story?
- Related Multiplication and Division Problems
- Factors and Products
- Simpler Parts
- About Our Multiple Tower
- Arranging Juice Cans
- A Multiple Tower
- Problems About Oranges
- Multiplying by Multiples of 10: What Happens?
- Kayla's Multiple Tower
- Story Problems 2
- Story Problems About 10s
- Things That Come in Groups
- Multiplying Groups of 10
- Ms. Santos's Apples
- Doubles and Halves
- Counting Around the Class
- Division Practice
- Multiplication Cluster Problems
- Multiplication Pairs
- Factors and Products 2
- More Multiplication Problems
- Counting Around the Class 2
- Solving a Cluster Problem
- Sunken Treasure
Investigation 1
Investigation 2
Investigation 3
Investigation 4
Unit 5 Large Numbers and Landmarks
- Measurement Benchmarks
- Using Measurement Benchmarks and Measurement Tools
- Reading Measurement Tools
- Factors and Products
- When and How Do You Measure Length?
- About Mathematics in This Unit
- Converting Classroom Measurements
- Multiplication Problems
- How Tall Is an Adult?
- Related Activities to Try at Home
- Perimeters Around the Classroom
- Converting Lengths Problems
- How Long Is Our Classroom?
- What Should We Do with the Extras?
- Measuring Ribbon
- Perimeters of Rectangles
- More Perimeters of Rectangles
- Explaining Measurement Differences
- More Converting Lengths
- Polygons, Not Polygons
- Is It a Polygon?
- Parallel and Perpendicular Lines
- Find the Polygons
- Making Polygons
- Names for Polygons
- Division Stories
- Sorting Shapes
- Guess My Rule with Quadrilaterals
- Making Quadrilaterals
- Mystery Rectangles
- Guess My Rule with Triangles
- Today's Number: Broken Calculator
- Sorting Quadrilaterals
- Obtuse, Acute, and Right Angles
- Sorting Triangles by Angle Size
- Division and Multiplication Practice
- Sides and Angles
- Directions for Making a Design
- Measuring Area with Triangles
- Related Problems About Multiplying Groups of 10
- Is It Symmetrical?
- What's the Area?
- Mirror Symmetry
- Crazy Cakes
- More Lines and Angles
- More Multiplication and Division Stories
- Area of Polygons
- Related Problems About Doubling and Halving
- That's Not Fair!
- Partially Covered Rectangles
- Area of Rectangles
- More Measuring Angles with a Protractor
- More Area of Rectangles
Investigation 1
Investigation 2
Investigation 3
Unit 6 Fraction Cards and Decimal Grids
- The Jones Family's Trip
- How Many Miles?
- Count Your Change Carefully
- Addition Problems
- About the Mathematics in This Unit
- More Addition Problems
- Solving Addition Problems
- Even More Addition Problems
- Addition Starter Problems
- Related Problems about Multiplying Groups of 10
- How Do You Solve an Addition Problem?
- Related Activities to Try at Home
- Two Different Solutions
- Applying the U.S. Standard Algorithm for Addition
- Solving an Addition Problem in Two Ways
- Practicing the U.S. Standard Algorithm for Addition
- Apple Orchard
- Adding to 1,000
- Related Problems about Doubling and Halving
- Subtraction Word Problems
- Subtraction Problems
- Close to 1,300
- Solving Subtraction Problems
- What's the Story?
- What Should We Do with the Extras?
- Addition Practice
- Events at the Community Center
- The U.S. Standard Algorithm for Subtraction
- Using the U.S. Standard Algorithm
- Subtraction Starter Problems
- Solving Subtraction Problems
- Solving More Addition Problems
- Distances from Chicago
- Practicing the U.S. Standard Algorithm for Subtraction
- More Subtraction Starter Problems
- Mystery Tower
- Addition and Subtraction Practice
- Division Stories
- Shark Attack!
- How Many 10s Are in 10,000?
- Writing and Rounding Numbers
- Stadium and Arena Capacities
- Filling Up and Emptying
- Rounding Large Numbers
- Concert Tickets
- Rock On!
- Traveling the World
- Areas of Countries
- Practicing Addition and Subtraction
- Using Place Value
- Concert Time
- Addition and Subtraction Problems
- Place Value to 1,000,000
Investigation 1
Investigation 2
Investigation 3
Investigation 4
Unit 7 How Many Packages and Groups?
- 4 × 6 Rectangles
- Solve Two Ways, Addition
- Halves, Fourths, and Eighths
- About the Mathematics in This Unit
- Parts of Rectangles
- Equivalent Fractions
- 5 × 12 Rectangles
- Solve Two Ways, Subtraction
- Subtraction Practice
- Related Activities to Try at Home
- 10 × 10 Squares
- Decimal Grids A and B
- Stamp Collection
- Representing and Identifying Decimals
- More Equivalent Fractions
- Addition and Subtraction Problems
- Showing Decimals on a 10 × 10 Square
- Relationship Among Equivalent Fractions
- What Is the Decimal?
- Fractions for Fraction Cards
- How Many Miles?
- Are These Fractions Equivalent?
- What's the Fraction?
- Expanded Form and Rounding Numbers
- Finding Equivalent Fractions
- Reading a Long Book
- Which Is Greater?
- Fractions in Containers
- Addition and Subtraction Practice
- Fraction Number Line
- Subtracting Numbers in the Thousands
- Fill-In Fractions
- Make Your Move
- Decimals for Decimal Cards
- Selling Fruit
- Comparing Decimals
- Showing Decimals on a 10 × 10 Square
- Ordering Decimals
- Decomposing Fractions
- Adding Fractions
- More Adding Fractions
- More Decomposing Fractions
- Subtracting Fractions
- More Subtracting Fractions
- Butterfly Wingspans
- Fraction Subtraction
- Pepper's Puppies
- Adding and Subtracting Fractions and Mixed Numbers
- More Adding and Subtracting Fractions and Mixed Numbers
- Lizard Lengths
- Runner's Log
- Bug Collections
- Which Is More?
- Comparing Fractions
- Adding Tenths and Hundredths
Investigation 1
Investigation 2
Investigation 3
Unit 8 Penny Jars and Towers
- Converting Measurements
- More Converting Measurements
- About the Mathematics in This Unit
- Measurement Problems
- Measurement Conversions
- More Measurement Problems
- Closest Estimate Problems
- Stamp Collections
- More or Less?
- Related Activities to Try at Home
- Solving 2-Digit Multiplication Problems
- Multiplying Two Ways
- Solving a Multiplication Problem
- Two Cluster Problems
- Comparing Fractions
- Multiplication Cluster Problems
- Pencil Problems
- Equivalent Fractions
- Multiplication Story Problem
- Problems about Oranges
- Making an Easier Problem
- Related Problems
- Solving Measurement Problems
- More Related Problems
- More Multiplication Cluster Problems
- More Problems about Oranges
- How Many Waffles?
- Multiplying 4-Digit Numbers by 1-Digit Numbers
- Solving Another Multiplication Problem
- Division Practice
- Writing Multiplication Story Problems
- Driving Long Distances
- How Many Legs?
- Solving Division Problems
- Problems about Teams
- How Many Hundreds? How Many Total?
- Multiplication Practice
- Marisol's Mystery Multiple Tower
- Problems about Multiple Towers
- Solving Division Problems
- City Sports Leagues
- Dividing 4-Digit Numbers by 1-Digit Numbers
- Solving a Division Story Problem
- Writing a Division Story Problem
- Multi-Step Problems
- Dividing Large Numbers
- Division Problems about Pencils
- Solving Multiplication and Division Problems
- Flea Market
- Selling Fruit
Investigation 1
- Penny Jar Amounts
- Penny Jar Situations
- A Vegetable Farm
- Closest Estimate
- About the Mathematics in This Unit
- Penny Jar Table
- Solving Division Problems
- Adding Pennies to a Penny Jar
- Related Activities to Try at Home
- Penny Jar Patterns
- Adding Pennies to a Penny Jar 2
- Solve in Two Ways, Multiplication
- Round 20
- How Many Windows? How Many Cars?
- Penny Jar Tables
- Penny Jar Tables A and B
- Estimate and Solve
- Your Own Penny Jar
- Windows and Towers
- Solve in Two Ways
- Solving Multiplication Problems
- Giant Penny Jars
- Square and Corner Towers
- Pizza Problems
- Writing Multiplication Story Problems
- Backward Problems for Single and Double Towers
- Backward Problems for Square and Corner Towers
- Benson's Mystery Multiple Tower
- A Table and a Rule
- Rules for Towers: Singles and Doubles
- Rules for Towers: Corners and Squares
- Summer Reading
- Penny Jar Problems
- Saving Money
- Removing Pennies from a Penny Jar