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