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EngageNY grade 5 module 1 lesson 14

engageny grade 5 module 1 lesson 14

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EngageNY grade 5 module 1 lesson 14

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  1. NYS Math Module 1 Lesson 14 I will … multiply and divide by exponents 5.NBT.2 round to different place values 5.NBT.4 find the quotient 5.NBT.5 Objective: Divide decimals with a remainder using place value understanding and relate to a written method.

  2. Multiply and Divide by Exponents Write 65 tenths as a decimal. 6.5 6 5 6 and 5 tenths Say the decimal. 6.5 x 100 = 650 Multiply it by 100.

  3. 0.008 0.8 ÷ 102 = _______ 0.8 .0

  4. 70 0.7 x 102 = _______

  5. 3,895 3.895 x 103 = 3.895

  6. 5.472 5472 ÷ 103 =

  7. Round to Different Place Values Say this number: 6.385 On your board, round the number to the nearest tenth. 6.385 ≈ 6.4

  8. Now, let’s round 6.385 to the nearest hundredth. 6.385 ≈ 6.39 One more…

  9. Say this number: 37.645 Round it to the nearest hundredth. 37.645 ≈ 37.65

  10. Find the Quotient Write the complete division sentence on your white boards. 7 14 ÷ 2 = _____ Say the division sentence in unit form. 14 ones ÷ 2 = 7 ones

  11. Let’s keep practicing. 0.7 1.4 ÷ 2 = _____ Say the division sentence in unit form. 14 tenths ÷ 2 = 7 tenths 0.07 0.14 ÷ 2 = _____ Say the division sentence in unit form. 14 hundredths ÷ 2 = 7 hundredths

  12. Write all three in unit form and solve. 8 24 ÷ 3 = _____ 24 ones ÷ 3 = 8 ones 0.8 2.4 ÷ 3 = _____ 24 tenths ÷ 3 = 8 tenths 0.08 0.24 ÷ 3 = _____ 24 hundredths ÷ 3 = 8 hundredths

  13. Write all three in unit form and solve. 4 36 ÷ 9 = _____ 36 ones ÷ 9 = 4 ones 0.4 3.6 ÷ 9 = _____ 36 tenths ÷ 9 = 4 tenths 0.04 0.36 ÷ 9 = _____ 36 hundredths ÷ 9 = 4 hundredths

  14. Say the sentence in unit form. 10 30 ÷ 3 = _____ 30 ones ÷ 3 = 10 ones Look at this problem. What is another way to look at 3 ones that will help us solve this problem? Discuss with a partner. 0.6 3 ÷ 5 = _____ 3 ones = 3.0 So, 30 tenths 30 tenths ÷ 5 = 6 tenths 0.4 2 ÷ 5 = _____ 20 tenths ÷ 5 = 4 tenths

  15. Word Problem A bag of potato chips contains 0.96 grams of sodium. If the bag is split into 8 servings, how many grams of sodium will each serving contain?

  16. Bonus: What other ways can the bag be divided into equal servings so that the amount of sodium in each serving has two digits to the right of the decimal and the digits are greater than zero in the tenths and hundredths place??

  17. Concept Development 5.16 ÷ 4 = Show 5.16 using your place value chart. I will record using the algorithm. 1 5.16 4 Can we share 5 ones with 4 groups? Show me on your place value chart. - 4 1 How many ones did we share? 4 1 How many ones are left? Can we share 1 one with 4 groups? no

  18. 1 2 5.16 4 What can we do to keep sharing? - 4 We can change 1 one into 10 tenths. 1 1 Show the change on your board. How many tenths do you have now? 11 tenths. If we share 11 tenths with 4 groups, how many tenths will be in each group. Show me on your place value chart. 2 tenths

  19. 1. 2 9 8 tenths How many tenths did we share? 5.16 4 3 tenths. - How many tenths are left over? 4 1 1 I can’t share 3 tenths with 4 groups, so I have to change 3 tenths into hundredths. Show me the change. - 8 3 6 How many hundredths do you have? 36 hundredths Can we share 36 hundredths with 4 groups? How many hundredths would be in each group? 9 hundredths

  20. 6.72 ÷ 3 = Show 6.72 using your place value chart.

  21. 6.72 ÷ 3 = 2 2. If we share 6 ones equally with 3 groups. How many ones are in each group? How many ones are left to share? 6 ones – 6 ones = 0 ones How many tenths can we share with each group? How many tenths are left to share? 2 tenths 2 ones 7 tenths – 6 tenths = 1 tenth Can we share 1 tenth with 3 groups? What can we do to keep sharing?

  22. 4 2. 2 6.72 ÷ 3 = We can change 1 tenth for 10 hundredths. How many hundredths do we have now? 12 hundredths Can we share 12 hundredths with 3 groups? If so, how many hundredths can we share with each group? 2 tenths 4 hundredths 2 ones 4 hundredths 12 hundredths – (4 + 4 + 4) = 0 How many hundredths did we share in all? How many are in each group? 2 ones and 24 hundredths

  23. Work with a partner. One of you use an algorithm and the other partner solve using a place value chart. 6.72 ÷ 4 = 1. 6 8 6.72 4 - 4 7 2 - 24 3 2 6 tenths 8 hundredths 1 one 32 0

  24. Using an algorithm or a place value chart, solve the problem 20.08 ÷ 8 = _____ 2.51

  25. Last one… 6.372 ÷ 6 = _____ 1.062

  26. Problem Set Review Example #1 –Solve the division problem using an algorithm and with the use of a place value chart. 7.46 ÷ 2 = _____ 3.73 3. 3 7 7.46 2 - 6 4 1 - 14 06 - 6 0

  27. Example #2 –Solve the division problem using an algorithm. 2.41 9.64 ÷ 4 = _____ 4 2. 1 4 9.64 - 8 Example #3 –Word problems 1 6 - Read the entire problem carefully. Make sure you show all of your work. 16 04 - 04 0

  28. 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.teacherspayteachers.com/Store/write-in-the-middle www.mycutegraphics.com www.teacherspayteachers.com/store/Lindy-Du-Plessis 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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