Mastering Multiplication by Multiples of 10

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Delve into the world of multiplying by multiples of 10 with this comprehensive lesson. Learn how to utilize basic multiplication facts and number patterns to solve problems efficiently. Practice using repeated addition, identifying basic facts, adding zeros, and understanding the properties of multiplying single-digit numbers by multiples of 10. Enhance your skills through engaging activities and real-world scenarios involving sharks swimming at different speeds.


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  1. Multiplying by Multiples of 10 Lesson 5-6 CCSS 3.NBT.3

  2. Objective I can use basic multiplication facts and number patterns to multiply by multiples of 10.

  3. Set the Purpose You have already learned basic multiplication facts. Today, you will use those basic facts and patterns with zero to multiply by multiples of 10.

  4. Connect What are some things that might come in groups of tens? What might be an easy way to count things that are in groups of ten?

  5. Pose the Problem - Partners Find the products by using repeated addition. What patterns do you see in the products? 5 x 30 = 2 x 40 = 9 x 20 =

  6. Demonstrate What repeated addition sentence does 5 x 30 represent? 30 + 30 + 30 + 30 + 30 = 150

  7. Multiplying Find the basic fact in each sentence. For example, in 20 X 6, the basic fact is 2 X 6. What is the basic fact in 50 X 4? Next count the number of zeros in the multiple of 10. How many zeros are there in 50? Write that many zeros after your basic fact. 50 X 4 = 200

  8. Whole Class Discussion Underline the basic fact in each factor and the product of that basic fact in each sentence. 2 x 40 40 + 40 = 80 6 x 20 20 + 20 + 20 + 20 + 20 + 20 = 120 What patterns do you see in these multiplication sentences? There is a basic fact in each sentence. There is also a zero written after each product in the fact. What rule can we make for multiplying a single-digit number by a multiple of 10? Find the product of the basic fact and write a zero after that product.

  9. Practice! 30 X 9 60 X 5 20 X 8 5 X 90 80 X 9

  10. Try It A tiger shark swims 69 miles per hour for 10 hours. A great white shark swims 37 miles per hour for 10 hours. Which shark swam more miles? By how many more miles did the shark swim?

  11. Writing to Explain Use a basic multiplication fact to write a multiplication problem that gives 180 as the product. Explain your thinking.

  12. Writing to Explain - Rubric

  13. 1 Point - Weak 2 x 90 = 180 (The answer is correct, but no explanation is given.)

  14. 2 Points 2 x 90 = 180 The basic fact is 2 x 9. Add one 0, so the answer is 180. (The answer is correct and the explanation has some good ideas)

  15. 3 Points Strong! 2 x 90 = 180 The basic fact is 2 x 9 = 18 The product of 2 x 90 = 180 There is one 0 in 180, so one of the factors is a multiple of 10,

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