Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will...
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Transcript of Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will...
![Page 1: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/1.jpg)
Lesson 17:Objective: Relate decimal and
fraction multiplication
By the end of this lesson, you will be able to…
5th Grade Module 4– Lesson 17K. Clauson
![Page 2: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/2.jpg)
Multiply fractionsUse teacher tools for all warm up activities!
![Page 3: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/3.jpg)
Write Fractions as Decimals
![Page 4: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/4.jpg)
Multiply Whole Numbers by Decimals
![Page 5: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/5.jpg)
Application Problem
Ms. Casey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she still has 16 tests to grade after school, how many tests are there?
![Page 6: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/6.jpg)
Problem 1a 0.1 x 4
Read this multiplication expression using unit form and the word of
Write this expression as a multiplication sentence using a fraction and solve- Do NOT simplify your product
Write this as a decimal on your board
Concept Development
1 tenth of 4
1/10 x 4 = 4/10
0.4
![Page 7: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/7.jpg)
Problem 1a 0.1 x 4 = 0.4Let’s compare the 4 ones that we started with to the product that we found, 4 tenths. Place 4 and 0.4 on a place value chart and talk to your partner about what happened to the digit 4 when we multiplied by 1 tenth.
Why did our answer get smaller?
Concept Development- Students will need aPlace Value Chart!
![Page 8: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/8.jpg)
Problem 1a 0.1 x 4 = 0.4
Why did our answer get smaller?
Answer: This is like 4 copies of 1 tenth. There are 40 tenths in 4 wholes. 1 tenth of 40 is 4. The unit is tenths, so the answer is 4 tenths. The digit 4 stays the same because we are multiplying by 1 of something, but the unit is smaller, so the digit 4 shifted one space to the right. The answer is 4 tenths.
Concept Development
![Page 9: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/9.jpg)
Higher level thinking!
What about 1/100 of 4?Multiply and show your thinking on a place value chart.
What about 1/1000 of 4?Multiply and show your thinking on a place value chart.
0.04
0.004
![Page 10: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/10.jpg)
Problem 1b 0.1 x 2
Read this multiplication expression using unit form and the word of
Write this expression as a multiplication sentence using a fraction and solve- Do NOT simplify your product
Write this as a decimal on your board
Concept Development
1 tenth of 2
1/10 x 2 = 2/10
0.2
![Page 11: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/11.jpg)
Problem 1c 0.01 x 6
Read this multiplication expression using unit form and the word of
Write this expression as a multiplication sentence using a fraction and solve- Do NOT simplify your product
Write this as a decimal on your board
Concept Development
1 hundredth of 6
1/100 x 6 = 6/100
0.06
![Page 12: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/12.jpg)
Problem 2a 0.1 x 0.1
Write this as a fraction multiplication sentence and solve it with a partner.
Let’s draw this as an area model to see if this makes sense. What should I draw first?
1/10 x 1/10 = 1/100
![Page 13: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/13.jpg)
Problem 2a 0.1 x 0.1
Let’s draw this as an area model to see if this makes sense.
1/10 x 1/10 = 1/100
110
110
Look at the double-shaded parts, what is 1/10 of 1/10?
1/100
Write the answeras a decimal.
0.01
![Page 14: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/14.jpg)
Problem 2a 0.1 x 0.1Let’s show this multiplication on the place value chart. When writing 1 tenth, where do we put the digit 1? Turn and talk to your partner about what happened to the digit 1 that started in the tenths place, when we took 1 tenth of it.
Answer!The digit shifted 1 place to the right. We were taking a part of 1 tenth, so the answer is smaller than 1 tenth. It makes sense that the digit shifted to the right one place again because the answer got smaller.
![Page 15: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/15.jpg)
Problem 2b 0.2 x 0.1
Write this as a fraction multiplication sentence and solve it with a partner.
Show me 2 tenths on your place value chart.Explain to your partner what happened when you multiply it by 1 tenth!
2/10 x 1/10 = 2/100
![Page 16: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/16.jpg)
Problem 2c 1.2 x 0.1
Show me 1.2 on your place value chart.Explain to your partner what happened when you multiply it by 1 tenth.
Write this as a fraction multiplication sentence.How can we express 1.2 as a fraction greater than 1? 12/10 x 1/10 = 12/100
![Page 17: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/17.jpg)
Problem 3a 0.1 x 0.01
Work with a partner to show this as fraction multiplication.
![Page 18: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/18.jpg)
Problem 3b 0.5 x 0.01
Visualize a place value chart. When writing 0.5, where will the digit 5 be?
What will happen as we multiply by 1 hundredth?
Show the solution to this problem using fraction multiplication.
Show the answer as a decimal.
In the tenths place
The 5 will shift two places to the right to the thousandths place.
5/10 x 1/100 = 5/1000
0.005
![Page 19: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/19.jpg)
Problem 3c 1.5 x 0.01
Express 1.5 as a fraction greater than 1
Show the solution to this problem using fraction multiplication.
Write the answer as a decimal.
15/10
15/10 x 1/100 = 15/1000
0.015
![Page 20: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/20.jpg)
Problem 4a 7 x 0.2
I am going to rewrite this problem expressing the decimal as a fraction. 7 x 2/10
0.2 = 2/10 * They show the same thing!
This is like multiplying fractions like we’ve been doing!
![Page 21: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/21.jpg)
Problem 4b 0.7 x 0.2
Work with a partner to show the solution using fraction multiplication.
![Page 22: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/22.jpg)
Problem 4c 0.07 x 0.2
Solve this problem independently. Compare your answer with your partner when you’re done.
![Page 23: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/23.jpg)
Get Ready to Finish theProblem Set on Your Own!
Complete Problem Set for Lesson 17-----------------------------------------------------------------Fast finishers:- Math Center Activities- choice boards,
extra Sprint challenge- CML packets/ worksheets- Problem Solving pages
5th Grade Module 4– Lesson 17K. Clauson
![Page 24: Lesson 17: Objective: Relate decimal and fraction multiplication By the end of this lesson, you will be able to… 5th Grade Module 4– Lesson 17 K. Clauson.](https://reader036.fdocuments.net/reader036/viewer/2022062313/56649d745503460f94a5470e/html5/thumbnails/24.jpg)
5th Grade Module 4- Lesson 17K. Clauson
LET’S DEBRIEF
• Take 2 minutes to check your answers with your partner.• Let’s share any insights you had while solving these problems.
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5th Grade Module 4– Lesson 17K. Clauson
EXITTICKETLESSON 17