Task Teacher Guide
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In This Task…
Students will determine quantities using arrays. They will be encouraged to explore partial products.
Intentionality…
The purpose of the Day 2 activities is to reinforce key concepts from Day 1. Students will engage in a string of related problems through a math talk and will have an opportunity to complete independent purposeful practice. The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas.
- Numbers can be decomposed.
- The relationship between repeated addition and multiplication.
- The relationships between rows and columns in an array.
- The distributive property of multiplication over addition and over subtraction.
- Numbers can be decomposed
- The relationship between repeated addition and multiplication
- The relationships between rows and columns in an array
- The distributive property of multiplication over addition and over subtraction.
Math Talk
String of Related Problems
Students will be encouraged to explore the grid or concrete array model through the following string of related problems. Encourage or create opportunities to represent student thinking using the grid or concrete array by pausing questions such as “would it be ok if I show your thinking using this array” if students do not initiate. If students want to model their thinking another way however, this should not be discouraged. Through this string, students are encouraged to see multiplication as rows and columns that can be composed using friendly facts (partial products).
5 x 8
10 x 8
15 x 8
6 x 9
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Purposeful Practice
Working With Arrays: Multiplication
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We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.
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Explore The Entire Unit of Study
This Make Math Moments Task was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, and extensions to elicit and emerge mathematical models and strategies.
Click the links at the top of this task to head to the other related lessons created for this unit of study.
What’s the product?
5 x 8
…
10 x 8
…
15 x 8
…
6 x 9
…
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…
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1a. Determine the number of items…
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1b. Determine the number of items…
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1c. Determine the number of items…
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1d. Determine the number of items…
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2a. Determine the number of items…
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2b. Determine the number of items…
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3a. Determine the product…
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3b. Determine the product…
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Open Printable PDF Handout
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Download Editable/Printable Handout
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