Teacher Sample

7th Grade Standard - 7.RP.A.1

Ratios & Proportional Relationships


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 an hour.


Will Attorney Matherstone make it home before the candle burns out?

Being able to recognize that a complex fraction is simply one fraction divided by another may help simplify this concept for students. During Candlelight Dinner, Attorney Matherstone tells his wife, Grace, that he will again be late, finishing briefs at the office. Having planned dinner for their anniversary, she is discouraged. She lights a brand new candle, and informs him that if he makes it home before it burns out, they can eat a nice dinner together. If not, he will be sleeping outside with their dog Roger. The data provided is a picture of the number of briefs he needs to finish, as well as a text message exchange, displaying the rate he is finishing his work and displaying the rate the candle is burning.

Day 1

The Math Simulator™

1. Immersion

  • Play Candelight Dinner Immersion video, whole-class.
  • Restate the question: Will Attorney Matherstone make it home before the candle burns out?
  • Facilitate classroom discussion, ask students: "What do we need to know?"

2. Computation

  • Print the Data Artifact, cut into halves, and distribute to students.
  • Allow students work time. Then ask students "Does your answer make sense?"
  • Consider using a sharing protocol to lead to mathematical insights and/or highlight misconceptions.
  • Allow students to revise their work.

3. Resolution

Answer: Attorney Matherstone barely makes it home in time, with a little trick!

Day 2

Clicker Quiz


1. Have your students go to midschoolmath.com/clicker.

2. Click on Launch Clicker Quiz and note Clicker Quiz #.

3. Have students enter quiz code on their screens.

4. Launch Clicker Quiz.

5. Review Clicker Quiz results and prompt students to make connections to the Math Simulator.


Day 3

Practice Printable


1. Print and distribute the Practice Printable to your students.

2. Print the Teacher Answer Key.

3. Give a short 5-7 minute teacher lecture on the concept of the standard.

4. Have students complete the Practice Printable.

5. Have student complete the Student Reflection Assignment.



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