Illustrative Mathematics Grade 7, Unit 3, Lesson 11: Stained-Glass Windows
Learning Targets:
- I can apply my understanding of area and circumference of circles to solve more complicated problems.
Related Pages
Illustrative Math
Grade 7
Lesson 11: Stained-Glass Windows
Let’s use circumference and area to design stained glass windows.
Illustrative Math Unit 7.3, Lesson 11 (printable worksheets)
Lesson 11.1 Cost of a Stained-Glass Window
The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. Here is their design.
They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot.
Do they have enough money to cover the cost of making the window?
Lesson 11.2 A Bigger Window
A local community member sees the school’s stained glass window and really likes the design. They ask the students to create a larger copy of the window using a scale factor of 3. Would $450 be enough to buy the materials for the larger window? Explain or show your reasoning.
Lesson 11.3 Invent Your Own Design
Draw a stained glass window design that could be made for less than $450. Show your thinking. Organize your work so it can be followed by others.
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