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Understanding Decimal Multiplication Through Models and Strategies

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overton
19 diapositives · 388 Views · Jul 31, 2014

In this math lesson, students explore multiplying decimals to the hundredths place using concrete models, drawings, and strategies based on place value and the properties of operations. The essential question focuses on how to model the multiplication of decimals effectively. Students will learn to use repeated addition and arrays to visualize and solve decimal multiplication problems. Group activities will include creating arrays with decimals and answering related questions. The lesson also incorporates a spiral review of previous concepts, ensuring a comprehensive understanding of decimal multiplication.

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  1. Math Lesson Multiplying Decimals 11/26/12

  2. The Standard: Our goal or standard is to add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

  3. Essential Question: How can we model multiplication of decimals?

  4. Multiplying DecimalsUsing Repeated Addition How do we write 3 x 0.4 as a repeated decimal? 0.4 + 0.4 + 0.4 How do we solve? (Remember to line the decimal.) 0.4 0.4 + 0.4 1.2

  5. Today’s Task: Today you will work together using repeated addition to come up with solutions to multiplication of decimal problems. You will then make a poster of one of the problems showing how to solve it. 8 x 0.6 4 x 1.3 5 x 0.25 9 x 0.17 3 x 4.2 7 x 0.45 9 x 0.5 6 x 2.8

  6. Homework Complete spiral review for Monday.

  7. Essential Question: How can we model multiplication of decimals?

  8. Multiplying Decimals Using Arrays What is an Array? An array is an arrangement of objects in rows and columns. We can use arrays to model multiplication with decimals. What does 0.3 look like using base ten blocks? What does 4 x 0.3 look like using base ten blocks? ( Think about what you know about the base ten rule)

  9. Today’s Task: You will work in groups to make arrays of decimal multiplication problems. You will work in teams to come up with answers to different problems. You will be shown different picture of arrays and asked to come up with the multiplication problem and answer that it shows.

  10. Essential Question: How can we model multiplication of decimals?

  11. Today’s Task: You will work in centers to review Order of Operations, Dividing Decimals by Powers of Ten, Division, and using base ten model arrays to multiply decimals.

  12. Essential Question: How can we model multiplication of decimals?

  13. Review using base ten blocks to modelMultiplying with Decimal You can do multiplication as repeated addition. For example, to multiply 3 x 0.4 you pull out 3 sets of 0.4, represented by 3 sets of 4 longs. Arrange them in a 3 by 0.4 array as shown below. There are a total of 12 longs. 10 longs can be traded for a flat, with 2 longs left over. Or you can think of 12 tenths as being one whole and 2 tenths, therefore, 3 x 0.4 = 1.2.

  14. Review using base ten blocks to modelMultiplying with Decimal How can we model 2x 0.3 using base ten blocks to form an array?

  15. Let’s Practice! 4 x 0.4 8 x 0.3 6 x 0.5 3 x 0.7

  16. Multiplying Decimals by Decimals To view video, go to Discovery Education.com

  17. Today’s Task: You will work in centers to review Order of Operations, Dividing Decimals by Powers of Ten, Division, and using base ten model arrays to multiply decimals.