Unit 6: Multiplying and Dividing Multi-digit Numbers

Students multiply and divide multi-digit whole numbers using partial products and partial quotients strategies, and apply this understanding to solve multi-step problems using the four operations.

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What this unit covers

A Features of Patterns · 4 lessons

Goals

• Generate a number or shape pattern that follows a given rule.
• Identify apparent features of a number pattern that were not explicit in the rule itself.

Lessons

1. Patterns that Grow
2. Patterns that Repeat
3. Numerical Patterns
4. More Numerical Patterns

B Multi-Digit Multiplication · 8 lessons

Goals

• Multiply a whole number of up to four digits by a one-digit whole number, and 2 two-digit numbers using strategies based on place value and the properties of operations.

Lessons

1. Products Beyond 100
2. Multiply Two-Digit Numbers and One-Digit Numbers
3. Multiply Three- and Four-Digit Numbers by One-Digit Numbers
4. Multiply 2 Two-Digit Numbers
5. Recording Partial Products: One-Digit and Three- or Four-Digit Factors
6. Using Algorithms with Partial Products: 2 Two-Digit Numbers
7. Partial Products and the Standard Algorithm
8. Solve Problems Involving Multiplication

C Multi-Digit Division · 9 lessons

Goals

• Divide numbers of up to four digits by one-digit divisors to find whole-number quotients and remainders, using strategies based on place value, properties of operations, and the relationship between multiplication and division.

Lessons

1. Situations Involving Equal-Size Groups
2. Situations Involving Area
3. Base-Ten Blocks to Divide
4. Base-Ten Diagrams to Represent Division
5. An Algorithm with Partial Quotients
6. Use an Algorithm with Partial Quotients
7. Divide with Remainders
8. Interpret Remainders in Division Situations
9. Problems with Remainders

D Let’s Put It to Work: Problem Solving with Large Numbers · 5 lessons

Goals

• Use the four operations to solve problems that involve multi-digit whole numbers and assess the reasonableness of answers.

Lessons

1. Different Ways to Solve Problems
2. Problems about Perimeter and Area
3. Solve Problems with Many Operations
4. Assess the Reasonableness of Solutions
5. Paper Flower Decorations (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 4 Math · Unit 5 Multiplicative Comparison and Measurement

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