Compute unit rates associated with ratios of fractions

Start lessonBegins with Unit rates with fractions · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

7.RP.A.1

**7.RP.A.1**: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour.

7.RP.A.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour.

What you'll learn

Identify the two quantities and their units in a ratio of fractions and determine which direction yields the desired unit rate
Set up the complex fraction that represents a unit rate when both quantities in a ratio are fractions
Compute a unit rate by dividing a fraction by a fraction, using the multiply-by-the-reciprocal procedure, and simplifying the result
Interpret the computed unit rate in context, including expressing units correctly (e.g., miles per hour, dollars per square foot)
Apply unit rate reasoning with fractions to scenarios involving lengths, areas, and quantities measured in like or different units