NAME ______________________________ DATE _______________
FAMILY LETTER
(PAGE 1 OF 2)
About the Mathematics in This Unit
Dear Family,
Our class is starting a new unit about multiplication and division called Multiple Towers and Cluster Problems. During this unit, students will build on the work they did in Unit 1. Students will be solving multiplication problems with 2-digit numbers, division word problems, and problems about multiples and number relationships.
Throughout the unit, students work toward these goals:
| Benchmarks/Goals | Examples |
|---|---|
| Multiply 2-digit numbers by 1-digit and small 2-digit numbers (e.g., 12, 15, 20) using strategies that involve breaking the numbers apart. |
d
6 × 37 = (6 × 30) + (6 × 7) 6 × 37 = 180 + 42 6 × 37 = 222 |
| Solve division problems (2-digit and small 3-digit numbers divided by 1-digit numbers), including some that result in a remainder. |
There are 52 people taking a trip. Each van holds 8 people. How many vans do they need? 52 ÷ 8 is 6 R4. They need 7 vans.
|
Table of Contents
- 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!
- 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?
- 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
- 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
- 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
- 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
- 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
- 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