NYS Math Module 1 Lesson 16

1. NYS Math Module 1 Lesson 16 I can… divide by exponents 5.NBT.2 find the quotient 5.NBT.7 Objective: Solve word problems using decimal operations.

2. Divide by Exponents **8 minutes** On your mark, get set, GO!

3. Find the Quotient 0.3 ÷ 2 = _____ 0.15 On your place value chart, draw 3 tenths in number disks. 30 1 5 3 tenths ÷ 2 = ___ hundredths ÷ 2 = ___ tenths ___ hundredths 0.15 Now solve using an algorithm. 0.30 2 - 0 2 10 - 10 0

4. Solve using an algorithm. 0.9 ÷ 5 = _____ 0.18 0.18 0.90 5 - 0 5 40 - 40 0

5. Solve using an algorithm. 0.58 ÷ 4 = _____ 0.145 0.145 0.580 4 - 0 4 0 18 - 16 2 0 - 2 0 0

6. Solve using an algorithm. 6.7 ÷ 5 = _____ 1.34 1.34 6.70 5 - 5 1 7 - 15 20 - 20 0

7. Solve using an algorithm. 93 tenths ÷ 5 = _____ 1.86 1.86 9.30 5 - 5 43 - 40 30 - 30 0

8. Word Problem Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay? 02.84 11.36 4 - 8 Step 1 – Add (total cost of snacks) Step 2 – Divide (individual. Cost) Step 3 – multiply (Check cost) 33 - 32 1 1 $5.42 $2.55 +$3.39 $11.36 2.84 X 4 11.36 16 - 16 0

9. Concept Development Let’s read this word problem together: This is the first problem on your problem set. Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive? Let’s identify our variables. Who and what is this problem about? Draw a bar. $126 Mr. Frye’s money ? Read the first sentence of the problem together. What is the important information in that sentence? Discuss with a partner. How can we represent the 4 children? How can we represent this on our diagram? What is our unknown? The amount of money each child receives.

10. $126 Mr. Frye’s money ? 4 units = $126 1 units = ? 1 units = $126 ÷ 4 = $31.50 031.5 How many unit bars are equal to $126? 4 units is the same as $126 126.0 4 - How can we find the value of one unit? 12 06 Divide $126 by 4, because we have a whole that we are sharing equallly. - 04 Write the equation that will give us the amount that each child receives? 20 - $126 ÷ 4 = _______ 20 0 Solve the problem and write down your answer in a complete sentence. Each child received $31.50 for their weekly allowance.

11. Let’s look at part b on your problem set. Solve using a tape diagram. $31.50 ? Johns’ money 10.50 31.50 3 - 30 Step 1: Step 2: 31.50 (from Dad) +10.50 (from John) $42.00 Each of his siblings will get $42.00 in all. 15 - 15 1 00

12. Read problem #4 on your worksheet, identify the variable (who and what). Illustrate using a bar. Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag? 6.83 3.57 Brandon’s cashews/pistachios Read the first sentence. Tell a partner. What is the important information in this sentence? How can I represent this information on our tape diagram? Draw two parts . Should the parts be equal? No. Let’s read the next sentence. How will we we represent this part of the problem? Make a new bar , split into number of bags used and one part for what is left over. OR Erase bar separating nuts and split into even parts.

13. I am going to use the bar that I’ve already drawn. I’ll label my bags with the letter b and label the part that wasn’t put into a bag. Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag? 6.83 + 3.57 Brandon’s cashews/pistachios left b b b b b ? What is the question? How much did each bag weight? 0.35 Where should we put our question mark? Inside one of the units labeled b. How will we find the value of 1 unit? We need to divide by 6. We first have to take away the part that is not in a bag. Perform your calculations. State your answer in a complete sentence.

14. 6.83 + 3.57 = 10.4 6 units + 0.35 = 10.4 1 unit = (10.4 - 0.35) ÷ 6 10.40 - 0.35 10.05 01.675 10.050 6 - 6 1 unit = 1.675 lbs. 40 - 36 45 Each bag contained 1.675 lbs. of nuts. - - 30 42 0 30 Complete question 2, 3, and 5 on your worksheet, using tape diagrams and calculations to solve.

15. Problem #2 Step 2: Ava’s height 89 cm + 23 cm 112 cm Step 1: Olivia’s height 1 0.89 m 1.78 m 2 - 1 6 18 Olivia is 89 cm tall. Ava is 112 cm tall. - 18 0

16. Problem #3 Step 1: Total of payments Step 2: Total cost of payments 286.00 + 510.00 $ 796.00 35.75 X 8 286.00 Step 3: Savings 796.00 + 699.99 $ 96.01 795 100 Mr. Hower will save$96.01 if he pays cash.

17. Problem #5a Step 2: Flour used for muffins 475 g X 4 1900g Step 1: Figure out how much flour the store bought. 8.85 kg of flour will be left. 2 3 2 3.5 X 4 14.0 kg Step 3: Convert to kg 1900 g = 1.9kg Step 4: Flour used for bread 0.65 X 5 3.25 kg 3 2 Step 5: Total flour used Step 6: Flour left over 3.25 + 1.90 5.15kg 14.00 - 5.15 8.85kg 1 13 100

18. Problem #5b Step 1: How many bins? 2.95 8.85 3 - 6 - 28 15 - 27 0 15 3 bins will be needed to store all the remaining flour.

19. 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/WHITNEY-PARLIN 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