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Module 2 Lesson 6. Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. Common Core Standards.
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Module 2 Lesson 6 • Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming.
Common Core Standards 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
I can connect visual models and the distributive property to partial products of the standard algorithm without renaming. Learning Targets
Activate Knowledge Write the multiplication sentence 21 × 100 = _____
Activate Knowledge Write the multiplication sentence 21 × 100 = _____ 2100 x 4 = _____
Activate Knowledge Write 21 × 400 as a three-step multiplication sentence, taking out the hundred. 21 × 100 = _____ 2100 x 4 = _____ 21 x 400 = _____
Activate Knowledge Write the multiplication sentence 312 × 100 = _____
Activate Knowledge Write the multiplication sentence 312 × 100 = _____ 31200 x 3 = _____
Activate Knowledge Write 312 × 300 as a three-step multiplication sentence, taking out the hundred. 312 × 100 = _____ 31200 x 3 = _____ 312 x 300 = _____
Activate Knowledge Write the multiplication sentence 2314 × 100 = _____
Activate Knowledge Write the multiplication sentence 2314 × 100 = _____ 231400 x 2 = _____
Activate Knowledge Write 2134 × 200 as a three-step multiplication sentence, taking out the hundred. 2314 × 100 = _____ 231400 x 2 = _____ 2314 x 200 = _____
Activate Knowledge Draw an area model on your personal board and solve 43 x 12
Activate Knowledge Draw an area model on your personal board and solve 243 x 12
Activate Knowledge Draw an area model on your personal board and solve 312 x 12
Activate Knowledge Scientists are creating a material that may replace damaged cartilage in human joints. This hydrogel can stretch to 21 times its original length. If a strip of hydrogel measures 3.2 cm, what would its length be when stretched to capacity?
Learn Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. 64 × 73 Problem 1
Learn Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. 814 x 39 Problem 2
Learn Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. 624 x 82 Problem 3