## Summation Square

**Type:** Mini-lesson

**Theme:** Numbers

**Grades:** 5, 6, 7, 8, 9, 10

**Learning Target:** Students will construct rational fractions using a visual model.

Instructions

- Warm-up. Show the following graphic. Ask what fraction of the whole does the blue, red, and/or purple represent?

fraction.jpg - Explain that parts can be divided by the whole.
- Show the following graphic, which represents infinite squares.

summation-squares.jpg - Provide a PowerPoint presentation for students to construct their rational fraction. Duplicate the page, so that groups of two can work on the puzzle. Older students will attempt to produce a rational fraction using an infinite pattern.

Summation-Squares.pptx - Demonstrate using Desmos: https://www.desmos.com/calculator/833aqfxoma

Exit Ticket

CCSS Math Practice

- I can make sense of problems and persevere in solving them.
- I can model with mathematics.

NGSS Crosscutting Concepts

- Patterns