# 4.6 Multiplying and Dividing Multi-digit Numbers

## Unit Goals

- 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.

### Section A 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.

### Section B 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.

### Section C 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.

### Section D Goals

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

### Lessons

- 5
#### Products Beyond 100

- 6
#### Multiply Two-digit Numbers and One-digit Numbers

- 7
#### Multiply Three- and Four-digit Numbers by One-digit Numbers

- 8
#### Multiply 2 Two-digit Numbers

- 9
#### Recording Partial Products: One-digit and Three- or Four-digit Factors

PLC Activity

- 10
#### Using Algorithms with Partial Products: 2 Two-digit Numbers

- 11
#### Partial Products and the Standard Algorithm

- 12
#### Solve Problems Involving Multiplication

- 13
#### Situations Involving Equal-size Groups

- 14
#### Situations Involving Factors and Multiples

- 15
#### Situations Involving Area

PLC Activity

- 16
#### Base-ten Blocks to Divide

- 17
#### Base-ten Diagrams to Represent Division

- 18
#### Divide with Partial Quotients

- 19
#### Division With and Without Remainders

- 20
#### Interpret Remainders in Division Situations