Lesson 18
Design With Fractions (optional)
Lesson Purpose
The purpose of this lesson is for students to apply their understanding of fractions to create geometric designs.
Lesson Narrative
This lesson is optional because it does not address any new mathematical content standards. It does provide students with an opportunity to apply precursor skills of mathematical modeling.
In this lesson, students apply their understanding of fractions to create geometric designs, starting with a given square. They are tasked with marking a fractional length (\(\frac{1}{2}\) or \(\frac{1}{4}\)) of each side of the square with a point. They then connect the points, which creates a new shape within the square. Students iterate this process of marking a fractional length and connecting points to generate their designs.
To mark a given length, students apply their experience with partitioning a segment into equal parts. To mark a fractional length, they decide which endpoint of each side to use as a starting point, whether to always mark the points in the same direction (clockwise or counterclockwise), how many iterations are practical, and so on (MP4).
 Representation
 MLR2
Learning Goals
Teacher Facing
 Apply fraction understanding to create geometric designs.
Student Facing
 Let’s use fractions to create a design.
Required Materials
Materials to Gather
Required Preparation
CCSS Standards
Lesson Timeline
Warmup  10 min 
Activity 1  15 min 
Activity 2  25 min 
Lesson Synthesis  10 min 
Teacher Reflection Questions
How did the student work that you selected impact the direction of the discussion? What student work might you pick next time if you taught the lesson again?
Suggested Centers
 Rolling for Fractions (3–5), Stage 1: Equivalent Fractions (Addressing)
 Number Line Scoot (2–3), Stage 3: Halves, Thirds, Fourths, Sixths and Eighths (Addressing)
 Five in a Row: Multiplication (3–5), Stage 2: Factors 1–9 (Supporting)
Print Formatted Materials
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Additional Resources
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