Algebra : Expressions, Equations, and Inequalities
Task
Timber Grove’s Park Design
The municipality of Timber Grove wants to create a square park bordered by square tiles. Here is their first sketch.
- Without counting them one by one, how many tiles are there around the park? How did you count them?
- Their second sketch has 15 tiles on each side of the park. How many tiles will there be in total around the park?
- Determine an algebraic expression that allows you to calculate the total number of tiles needed to go around the park based on the number of tiles on one side.
- Compare your expression with those of other students. In what ways are they similar? different? equivalent? How do you know?
- If the municipality has 70 square tiles, each measuring 1 foot by 1 foot, what will be the dimensions of the park?
Reflection
- How can I enhance these activities to encourage students to deepen their thinking meaningfully?
- What extensions can I add?
- What questions can I ask to support students in getting started with the problem?
- How will I facilitate these activities?
- In small groups or individually?
- Standing or at their desks?
- In or out of the classroom?