Unit 9, Lesson 11
Rectangle Fractions (Optional)
Grade 6
Preparation
Lesson Narrative
This optional lesson continues and builds on the work of the previous one. Students represent fractions geometrically by decomposing rectangles into squares. 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). 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.
- Generalize that decomposing rectangles into squares is a geometric way to determine the greatest common factor of two numbers.
- Interpret and create diagrams involving a rectangle decomposed into squares.
Let's compare fractions and rectangles.
Required Materials
Activity 1
Required Preparation
None