Divide Fractional Distances by Fractional Times
A unit rate asks how much of one quantity corresponds to one whole unit of another.
About 20 minutes, plus any extended practice
Open lesson 1Fractional Rates and Proportional Relationships
Proportional relationships compare multiplicative changes rather than fixed additions. Rates connect two labeled quantities, and a proportional graph must be consistent with a zero starting amount as well as a constant ratio.
Before you begin
- Divide positive fractions; read ordered pairs; interpret a ratio with named units.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Test a Whole Table for Proportionality
A proportional rule has the form y=kx.
About 20 minutes, plus any extended practice
Open lesson 2Read a Proportional Graph’s Constant
The point (1,k) on a proportional graph describes its constant.
About 20 minutes, plus any extended practice
Open lesson 3Compare Rates with Different Totals
Rates can be compared fairly after both are expressed per one identical unit.
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 — Fractional Rates and Proportional Relationships
These references informed the topic selection. They do not certify complete standards alignment.