Multiply Every Term in a Group
The distributive property rewrites a product of a factor and a sum as a sum of products.
About 20 minutes, plus any extended practice
Open lesson 1Expression Structure and Equivalent Forms
An expression names a quantity without asserting equality to another quantity. Equivalent expressions give the same output for every allowed input, and their structures can reveal repeated groups, fixed extras, or shared factors.
Before you begin
- Use whole-number multiplication and signed addition; recognize a variable and a coefficient.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Combine Like Terms without Losing Signs
Like terms have the same variable part and exponent.
About 20 minutes, plus any extended practice
Open lesson 2Reverse Distribution with a Common Factor
Factoring rewrites a sum as a product.
About 20 minutes, plus any extended practice
Open lesson 3Distinguish Repeated Amounts from a Fixed Extra
A context can describe a variable amount repeated several times and a fixed amount added once.
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
- California CCSS mathematics topic reference: topic reference — Expression Structure and Equivalent Forms
These references informed the topic selection. They do not certify complete standards alignment.