Unit 9, Lesson 5
Rectangle Madness (Optional)
Accelerated 6
Preparation
Lesson Narrative
This lesson is optional. In this exploration in pure mathematics, students tackle a series of activities that explore the relationship between the greatest common factor of two numbers and related fractions using a geometric representation. The activities in this lesson build on each other, providing students an opportunity to express the relationship between the greatest common factor of two numbers and related fractions through repeated reasoning (MP8). Thus, the activities should be done in order. It is not necessary to do the entire set of problems to get some benefit from the activities in this lesson, although more connections are made the farther one gets.
This lesson can be used anytime after Unit 3 is completed.
- Coordinate diagrams and expressions involving equivalent fractions.
- Interpret and create diagrams involving a rectangle decomposed into squares.
Let’s cut up rectangles.
Required Materials
Activity 2
Required Preparation
None