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NAME ______________________________ DATE _______________
FAMILY LETTER
(PAGE 1 OF 2)
About the Mathematics in This Unit
Dear Family,
Our class is starting a new mathematics unit about multiplication and division called How Many People and Teams? In this unit, students solve multiplication problems and learn and practice the U.S. standard algorithm for multiplication. Students focus on refining and efficiently using division strategies. They solve multi-step problems.
Throughout the unit, students work toward the following goals:
| Benchmarks/Goals | Examples | |
|---|---|---|
| Fluently solve multidigit multiplication problems using a variety of strategies including the U.S. standard algorithm. |
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| Solve division problems with up to 4-digit dividends and 2-digit divisors efficiently. |
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Table of Contents
Investigations 3 in Number, Data, and Space®, Student Activity Book
Unit 1 Puzzles, Clusters, and Towers
Investigation 1
Investigation 2
Investigation 3
Unit 2 Prisms and Solids
- Number Puzzles: 1 Clue
- Factors and Multiples
- Seeing Number Dot Patterns
- About the Mathematics in This Unit
- Number Puzzles: 2 Clues
- Factors of 2-Digit Numbers
- Number Puzzles Recording Sheet
- Number Puzzles
- Multiplication Facts
- Multiplication Facts Recording Sheet
- Homework
- Practicing Multiplication Facts
- Order of Operations
- Factors of 3-Digit Numbers
- Multiplication Facts 2
- Related Activities to Try at Home
- Practicing the Order of Operations
- Multiplication Facts 3
- Multiplying 2-Digit Numbers
- Multiplication Facts 4
- Solving Multiplication Problems
- Multiplying Two Ways
- Multiplication Practice
- More Multiplying Two Ways
- Which Is Greater?
- Multiplication Cluster Problems
- Problems Involving Teams
- More Multiplying 2-Digit Numbers
- Multiplication Facts 5
- More Multiplication Cluster Problems
- Using the Order of Operations
- Starter Problems
- Multiplication Clusters
- Multiplying 2-Digit Numbers
- More Starter Problems
- More Problems Involving Teams
- How Do I Start?
- Dividing by 2-Digit Numbers
- Solve in Two Ways
- Problems about Multiples of 21
- Sharing School Supplies
- Solving 315 ÷ 21
- Division Problems
- Making Teams
- Numbers Off the Tower
- Understanding the Order of Operations
- Multiple Tower for 15
- Division Cluster Problems
- Division
- Division Practice
- Problems about Division Compare
- Solving Division Problems
- Applying the Order of Operations
- Practicing Multiplication and Division
- Multiple Towers and Filmmaking
Investigation 1
Investigation 2
Unit 3 Rectangles, Clocks, and Tracks
- How Many Cubes?
- A Strategy for Finding Volume
- Will They Fit?
- Multiplication Practice
- About the Mathematics in This Unit
- Volume of Boxes
- What Should We Do with the Extras?
- More Boxes
- Related Activities to Try at Home
- Doubling the Number of Cubes
- Multiplication Practice: Solve Two Ways
- The Symphony
- How Many Packages in Box 1?
- Division Practice
- Multiplication Starter Problems
- Volume of Rectangular Prisms
- Doubling and Halving
- Solving Division Problems
- Volume of Solids
- How Many Packages in Box 2?
- Finding Volume
- Multiplication Clusters
- Double the Number of Cubes
- Design a Box
- Multiplication Starter Problems
- Solving More Division Problems
- Volume Problems
- Number Puzzles
Investigation 1
Investigation 2
Investigation 3
Unit 4 How Many People and Teams?
- What Do You Already Know?
- Practicing Multiplication and Division Problems
- Story Problems: The School Library
- About the Mathematics in This Unit
- Representing Fractions
- Equivalent Fractions
- Solving Division Problems
- What Fractions Do You See?
- Related Activities to Try at Home
- Finding Equivalent Fractions
- Which Is Greater?
- Representing More Fractions
- Comparing 23 2 thirds and 34 3 fourths
- Fraction Problems
- In Between Problems
- Comparing 78 7 eighths and 56 5 sixths
- Ordering Fractions
- More In Between Problems
- Clock Fractions
- Clock Fractions Addition Problems
- Comparing Fractions
- Problems about Volume
- Roll Around the Clock Problems
- Volume of Rectangular Prisms
- Using Rectangles to Add Fractions
- Adding Fractions
- Which is Closer to 1? Part 1
- Practice Adding Fractions
- Fractions That Add Up to One
- Which is Closer to 1? Part 2
- More Roll Around the Clock Problems
- Equivalents
- Finding Volume
- Subtracting Fractions
- Taking a Hike
- Volumes of Rectangular Solids
- Adding and Subtracting Fractions
- Order of Operations Practice
- Moves on the Fraction Track
- Using the Order of Operations to Solve Problems
- More Moves on the Fraction Track
- Addition and Subtraction Problems with Fractions
- Finding Common Denominators
- Solving Multiplication Story Problems
- Grasshopper Lengths
- Addition Compare
- Grasshopper Collections
- Adding and Subtracting Mixed Numbers
- Comparing Sums and Differences 1
- Practicing Division
- Comparing Sums and Differences 2
- Problems about Apples
Investigation 1
Investigation 2
Investigation 3
Unit 5 Temperature, Height, and Growth
- Multiplication: How Did I Solve It?
- Adding and Subtracting Fractions and Mixed Numbers
- Multiplication Two Ways
- About the Mathematics in This Unit
- Multiplication Problems
- Finding Products
- Solving 45 × 36
- Related Activities to Try at Home
- Two Algorithms: What Do They Mean?
- Applying the U.S. Standard Algorithm for Multiplication
- Finding Products 2
- Teams
- Practicing the U.S. Standard Algorithm
- Solving Multiplication Problems
- Using the U.S. Standard Algorithm for Multiplication
- Add and Subtract Fractions
- Multiplying Numbers
- Order of Operations Practice
- Multiplication and Division Practice
- Division Practice
- Sharing Equally
- Dividing by Multiples of 10
- Counting Around the Room
- Dividing 500 by 16
- Classroom Counting Puzzles
- Division Starter Problems
- Classroom Supplies
- Finish It Up!
- Counting Puzzles
- Solving Division Problems
- Different First Steps
- Adding and Subtracting Mixed Numbers Practice
- Division: How Did I Solve It?
- Making Estimates
- Division Practice
- Division Two Ways
- Field Day Refreshments
- Large and Small Hunt
- Multiplication and Division Practice
- Field Day Lunch and Cleanup
- Field Day Activities: Relay Race
- Field Day Activities: Kickball
- Field Day Activities: Tug of War
- Two-Part Problems
- Multiplying and Dividing Multiples of 10
- Field Day Problems
- Multiplying and Dividing Large Numbers
- Multiplication and Division with Large Numbers
- Juice and Oranges
- Multiplication and Division Two Ways
- Milk Cartons
- Supersonic Flight
Investigation 1
Investigation 2
Unit 6 Between 0 and 1
- Temperatures in Two Cities
- Solve Two Ways
- Division Practice
- About the Mathematics in This Unit
- High Temperatures in One Year in Honolulu
- High Temperatures in One Year in U.S. Cities
- Temperatures for a Day in June: Anchorage, Alaska
- Temperatures for a Day in June: El Paso, Texas
- Related Activities to Try at Home
- Growth Stories: Tara and Nat
- Division Starter Problems
- Teams
- Representing Growth Stories: Tony, Maya, and Susie
- Multiplication Practice
- Flickerbill's Growth
- Writing Numbers in Expanded Form
- Division Problems
- The Krink, the Trifoot, and the Water Weasel
- Powers of 10 Practice
- Fastwalker
- Spiraltail's and Inksnake's Growth Table
- School Supplies
- 3 Squares Across: Area
- 3 Squares Across: Perimeter
- School Carnival Problems
- Counting Puzzles
- Multiplication and Division Practice
- _______________ Squares Across: Area
- _______________ Squares Across: Perimeter
- _______________ Squares Across: Perimeter
- On Sale!
- Multiplying and Dividing Larger Numbers
- 10 Squares Across: Area
- 10 Squares Across: Perimeter
- Ordered pairs
- Field Day Prizes
- Growing Squares
- Graphing Ordered pairs
- Admission Price
- Staircase Towers: Jumps of 1
- Staircase Towers: Jumps of 2
- Practicing the U.S. Standard Algorithm for Multiplication
- Solving Division Problems
- Helping Hands
Investigation 1
Investigation 2
Unit 7 Races, Arrays, and Grids
- Tenths and Hundredths
- How Much of the Garden Is Planted?
- How Much Is Shaded?
- Solving Division Problems
- About the Mathematics in This Unit
- Hundredths and Thousandths
- Decimals on Hundredths and Thousandths Grids
- Matching Shaded Portions
- Comparing Decimals
- Solving Multiplication and Division Problems
- More Comparing Decimals
- Decimal Grids
- Ordering Decimals
- Solve Two Ways
- Ordering Precipitation Amounts
- Related Activities to Try at Home
- Which Is Greater?
- More Precipitation
- Rounding Decimals
- Practice with Rounding
- Decimal Problems
- Rounding Practice
- Swim Meet: 200-Meter Butterfly
- Smaller to Larger
- Birds and Bugs
- Collections
- Precipitation in the Desert
- The Jeweler's Gold
- Closest Estimate
- Decimals In Between Problems
- Adding Decimals
- Mystery Tower
- Subtraction Problems with Decimals
- Decimal Subtraction Problems
- Fill Two Problems
- Decimal Problems
- Gymnastics: Women's All-Around Scores
- What's the Difference?
- More Decimal Problems
- Gymnastics: Men's All-Around Scores
- Adding and Subtracting Decimals
- Close to 1
- Adding and Subtracting Precipitation Amounts
- Decimals in Expanded Form
- Understanding Place Value
- Solving Decimal Problems
Investigation 1
Investigation 2
Investigation 3
Unit 8 Properties of Polygons
- Running and Biking Distances
- Adding and Subtracting Decimals
- Multiplying Fractions by Whole Numbers
- About the Mathematics in This Unit
- Big Bicycle Race
- Comparing Batting Averages
- Take a Hike
- Bicycle Race Training
- Ordering Decimals
- Another Bicycle Race
- Related Activities to Try at Home
- Cycling and Running
- Squeeze Between
- Training for a Race
- Fractions of Fractions
- Fraction Match
- Canoe Trip
- Multiplying Fractions
- Measuring Distance
- More Multiplying Fractions
- Using Arrays to Multiply Fractions
- Planting Vegetables
- Hiking Trails
- Multiplying Fractions and Mixed Numbers Practice
- Practicing Multiplication of Fractions
- Dividing a Whole Number by a Fraction
- Writing Numbers in Expanded Form
- Making Bows
- Dividing a Fraction by a Whole Number
- Biking to the Park
- Dividing It All Up
- Dividing with Fractions
- Multiplying Fractions Problems
- Popcorn Problems
- Multiplying by Powers of 10
- Money and Powers of 10
- Adding and Subtracting with Decimals
- Multiplying Decimals
- Reasoning about Decimals
- Powers of 10 and Multiplication
- Buying School Supplies
- A Strategy for Multiplying Decimals
- Decimal Multiplication
- Adding and Subtracting Decimals Practice
- Animal Speeds
- How Far?
- Multiplication with Decimals
- Animal Speeds and Jumps
- Decimal Multiplication Problems
- Dividing by Powers of 10
- Hana's Money
- Miles and Miles
- Dividing Decimals
- Division Problems with Decimals
- Solving Decimal Problems
- Converting Length, Mass, and Capacity (Metric)
- Decimal Division Problems
- Metric Measurement Conversions
- Converting Length and Weight (U.S.)
- Rhomaar Animal Jumps
- U.S. Measurement Conversions
- More Dividing with Decimals
- Converting Capacity (U.S.)
- Converting Measurements
- Jumping Animals
- Equivalent Lengths
- Metric and U.S. Measurement Conversions
Investigation 1
Investigation 2
- Triangles: Two the Same, One Different
- Long and Tall
- Which Triangle Doesn't Belong?
- About the Mathematics in This Unit
- Quadrilaterals: Two the Same, One Different
- Types of Quadrilaterals
- Which Quadrilateral Doesn't Belong?
- Related Activities to Try at Home
- Some Figures Have Many Names
- Finding Equivalent Measures
- Squares and Rectangles
- Representation of Relationships among Quadrilaterals
- Categories of Triangles
- Fraction Bar Multiplication
- Parallel or Not?
- Quadrilateral Categories
- Follow the Rules
- Building a Sequence of Squares
- Converting U.S. Measurements of Length
- What's Cooking?
- Doubling Squares
- Category Search
- Decimal Division
- A Sequence of Rectangles
- Converting U.S. Measurements of Capacity
- Growing Rectangles
- Rearranging a 16 × 12 Rectangle
- Fencing a Garden
- Another Growing Rectangle
- Animal Robots
- Fraction Multiplication with Arrays