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Module 1 Lesson 11

NYS Engage NY grade 5 module 1 lesson 11

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Module 1 Lesson 11

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  1. NYS Math Module 1 Lesson 11 I can… take out the unit 5.NBT.1 add, subtract, and multiply decimals 5.NBT.7 Objective: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.

  2. Take Out the Unit Say this number: 1.234 = ____ thousandths 1234 Think about how many thousandths are in 1.234. How much is one thousand, thousandths? 1.000 = 1 One thousand thousandths = 1 whole Say this number: 65.247 = _________________ 65 ones 247 thousandths

  3. On your board, fill in the blank. 76.358 = 7 tens ____ thousandths 6 358 6358 Let’s try another one. 76.358 = 763 tenths ____ thousandths 58 58 What do you notice? Discuss with your partner.

  4. Last one. 7635 76.358 = ____ hundredths 8 thousandths 7635

  5. Add and Subtract Decimals Write the addition sentences in decimal form. 7258 thousandths + 1 thousandth = _______ 7.258 + 0.001= 7.259 7 ones 258 thousandths + 3 hundredths = _______ 7.258 + 0.03= 7.288 7 ones 258 thousandths + 4 tenths = _______ 7.258 + 0.4= 7.658

  6. Let’s try some more… 6 ones 453 thousandths + 4 hundredths = _______ 6.453 + 0.04= 6.493

  7. 2 ones 37 thousandths + 5 tenths = _______ 2.037 + 0.5 =2.537 Tell your partner how you are solving these problems. You add the number to the corresponding place value. 2.037 + 0.5 =2.537 Both the “0” and “5” are in the tenths place, so you add 0 +5 = 5. All the other place values did not change.

  8. 6 ones 35 hundredths + 7 thousandths = _______ 6.35 + 0.007 = 6.357

  9. Write the subtraction sentence in decimal form. 4 ones 8 hundredths – 2 ones = _______ 4.08 - 2 = 2.08 9 tenths 7 thousandths – 4 thousandths = _______ 0.907 - 0.004 = 0.903 4 ones 582 thousandths – 3 hundredths = _______ 4.582 – 0.3 = 4.552

  10. 9 ones 708 thousandths – 4 tenths = _______ 9.708 – 0.4 = 9.308

  11. 4 ones 73 thousandths – 4 hundredths = _______ 4.073 – 0.4 = 3.673

  12. Word Problem After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther? How much farther? 2 11 10 3.20 1.95 - 1.25

  13. Concept Development Show 2 tenths on your place value chart. How many tenths to you have in all? 6 tenths Make 3 copies of 2 tenths. Write a number sentence to express how we made 6 tenths. 0.2 + 0.2 + 0.2 = 0.6 6 tenths 3 copies of 2 tenths is ____________ 3 x 0.2 = 0.6 Read the equation in unit form.

  14. Find the value of 3 x 0.3 and 4 x 0.3. 12 tenths 9 tenths How was 4 x 3 tenths different from 3 x 3 tenths? 12 tenths makes a number greater than 1 whole 4 copies of 3 tenths is _______________. 12 tenths 12 tenths is the same as _______________. 1 and 2 tenths

  15. How can we use our knowledge from the previous problems to solve this? 2 x 0.43 = _______ 0.86 We make copies of hundredths like we make copies of tenths. Hundredths is a different unit, but we can multiply it just like tenths. Use your place value chart to find the product. Complete the sentence, “2 copies of 43 hundredths is __________.” 0.86 Read what your place value chart shows. Two groups of 3 hundredths= 0.06 Two groups of 4 tenths = 0.8

  16. Solve this problem using your disks. 4 x 0.423 = _______ 1.692 0.423 X 4 1.692 1 6 9 2 Read the product that is shown on your place value chart. How was this problem different? We had to bundle 10 thousandths to make 1 hundredth. Did any other units have to be regrouped? Yes, the tenths. We had to regroup 10 tenths to make 1 whole. Show how you found the product using an area model and equation.

  17. Solve this problem using an area model. 6 x 1.21 = _______ 7.26 Draw an area model. 3; ones, tenths, and hundredths How many sections do we have? 1.21 X 6 7.26 6 6 12 tenths 6 hundredths 6 + 1.2 + 0.06 = 7.26 6 I am multiplying each number by what? With a partner, solve the equation using an area model and an equation.

  18. Solve this problem using an area model and an equation. 16.87 7 x 2.41 = _______ 7 14 28 tenths 7 hundredths 14 + 2.8 + 0.07 = 16.87 2.41 X 7 16.87

  19. Last one.. 18.72 8 x 2.34 = _______ 8 16 24 tenths 32 hundredths 16 + 2.4 + 0.32 = 18.72 2.34 X 8 18.72

  20. Thank you for your purchase. To view more of my products visit: http://www.teacherspayteachers.com/Store/A-Teachers-World Backgrounds and clip art provided by: www.mycutegraphics.com WWW.TEACHERSPAYTEACHERS.COM/STORE/MRSDSFIRSTIES Worksheets in this file are from NYS Math Module 1 Grade 5. I have simply minimized the pages to reduce the use of paper. For the entire module visit: www.engageny.org/resource/grade-5-mathematics-module-2

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