Lesson 11
Multiplication Strategies on Ungridded Rectangles
Lesson Purpose
The purpose of this lesson is for students to represent multiplication strategies on an ungridded rectangle.
Lesson Narrative
Previously, students used gridded rectangles to represent strategies based on the distributive and associative properties. Here, they use the same strategies, but represent them on an area diagram without a grid. Then, students match expressions that could represent the area of the same rectangle, without using diagrams. The reasoning helps students work toward fluent multiplication within 100.
- Engagement
- MLR2
Learning Goals
Teacher Facing
- Apply associative and distributive properties of multiplication to find products within 100.
- Recognize that multiplication is associative and can be distributed over addition.
Student Facing
- Let’s use different strategies to find the area of ungridded rectangles.
Required Materials
Materials to Copy
- Centimeter Grid Paper - Standard
- Card Sort: Different Expressions, Same Rectangle
Required Preparation
Activity 2:
- Create a set of cards from the blackline master for each group of 2 or 4.
CCSS Standards
Addressing
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 15 min |
| Activity 2 | 20 min |
| Lesson Synthesis | 10 min |
| Cool-down | 5 min |
Teacher Reflection Questions
Which students came up with an unexpected strategy in today’s lesson? What are some ways you can be more open to the ideas of each and every student?
Suggested Centers
- Rectangle Rumble (3–5), Stage 3: Factors 1–10 (Addressing)
- Capture Squares (1–3), Stage 7: Multiply with 6–9 (Addressing)
Print Formatted Materials
Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.
| Student Task Statements | docx | |
| Lesson Cover Page | docx | |
| Cool Down | Log In | |
| Teacher Guide | Log In | |
| Teacher Presentation Materials | docx | |
| Blackline Masters | zip |