Split a Factor and Combine Partial Products
Split the stated factor at five when useful.
About 15 minutes, plus any extended practice
Open lesson 1Build Fact Strategies and Solve Two-Step Problems
Use distribution, regrouping, zero/one patterns, and multiple operations.
Before you begin
- Interpret multiplication and both meanings of division.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Regroup Three Factors to Make an Easier Product
Find a friendly pair among the supplied factors.
About 15 minutes, plus any extended practice
Open lesson 2Explain Zero, One, and Even-Product Patterns
Use the stated factor pattern to explain the product before calculating.
About 15 minutes, plus any extended practice
Open lesson 3Finish a Two-Step Multiplication Story
Write the equal-group product, calculate the intermediate total, then apply the stated second change.
About 20 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- Common Core State Standards, mathematics: 3.OA.B.5 — Use distribution, regrouping, zero/one patterns, and multiple operations.
- Common Core State Standards, mathematics: 3.OA.C.7 — Use distribution, regrouping, zero/one patterns, and multiple operations.
- Common Core State Standards, mathematics: 3.OA.D.8 — Use distribution, regrouping, zero/one patterns, and multiple operations.
- Common Core State Standards, mathematics: 3.OA.D.9 — Use distribution, regrouping, zero/one patterns, and multiple operations.
These references informed the topic selection. They do not certify complete standards alignment.