Access the interactive simulator to begin this project.
In this activity, whenever you see 💬, stop and share your responses with your partner. If you have different responses, try to come to a consensus.
For 1 - 8, use the following instructions.
Use the simulation screen labeled “Explore”. Note you can switch between simulation screens using the toolbar located below the area model.
- Explain what the red and blue sliders do to the outside of the rectangle.
- Explain what the red and blue sliders do to the inside of the rectangle.
- Describe what changes and what doesn’t change when the red and blue sliders are moved. 💬
- Multiply 10✕15 using an area model. Find two different ways to partition the 10x15
rectangle. Use the sim to support you in filling out this table. 💬
Problem Labeled Area Model with Partial Products List partial products and write as a sum Total area of rectangle 10✕15
10✕15
- Use the sim to model 6✕18. What is the total area of this rectangle? Represent the
total area in multiple ways.
- In an area model, how do the partial products (interior numbers) get calculated?
- In an area model, what are two different ways the total area could get calculated?
- How do the partial products relate to the total area of the area model?