using tape diagrams with part- whole ratio problems 1

Using Tape Diagrams with Part-Whole Ratio Problems

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Content Objective: SWBAT solve part-whole ratio problems by using a tape diagram. Learning Target: SWBAT identify the ratio in a word problem and translate the words into a tape diagram.

Lesson Target

Warm UpOBJECTIVE: SWBAT solve part-whole ratio problems by using a tape diagram. Language Objective: SWBAT identify the ratio in a word problem and translate the words into a tape diagram.

Agenda

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But I have 6.

But I have 6.

I have 9 cookies.I have 9 cookies.

Crystal and her brother Marcus have some cookies.

1. If there are 5 chocolate chips in each cookie, how many chips are in all the cookies?

2. What part of a dozen cookies does Crystal have?3. If Crystal ate one cookie each day, how many weeks would her cookies last?CrystalCrystal MarcusMarcus

Hint: A dozen is 12!Hint: A dozen is 12!

9 x 5 + 6 x 5 = 75 chips9 x 5 + 6 x 5 = 75 chips

¾ dozen¾ dozen

1 2/7 weeks1 2/7 weeks

Launch

Agenda

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Abby and Zack are mixing red and yellow paint to make an orange color to paint their kitchen table. They each think they have the perfect shade of orange.

Launch – Think, Pair, Share

Agenda

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Abby’s orange paint is made by mixing 1 cup of red for every 3 cups of yellow.

Zack’s orange paint is made by mixing 3 cups of red for every 5 cups of yellow.

Lefty – Tell Righty the ratio of yellow to total in Zack’s orange paint.

Righty – Tell Lefty the ratio of red to total in Abby’s orange paint.

Partner

SharePartner

Share

Explore – Predict

Agenda

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They will need a gallon of orange paint for the project.

1. How can Abby make enough of her orange paint for the project?

Hint: A gallon is 16 cups.Hint: A gallon is 16 cups.

2. How can Zack make enough of his orange paint for the project?

Write down in your notes any ideas you have about

how to answer these questions.

Explore – Mini-Lesson

Agenda

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Tape Diagram Tool Tape Diagram ToolFollow along by filling out the whiteboard as we go.

Explore – Mini-Lesson

Agenda

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Example 1) A recipe for fruit punch says to use 5 ounces of orange juice for every 3 ounces of grape juice. Janice’s punch bowl can hold 80 ounces of punch. How much orange juice is that? How much grape juice?

Now let’s look at what’s given.

New Tool: Tape Diagram New Tool: Tape Diagram

First, let’s draw the tapes.Orange

Grape

?

?

We don’t know the amounts of each juice so…

All of these boxes from both tapes make 80 ounces of punch.

80oz.

So, if 8 boxes equals 80 ounces, then each box is…

10 10 10 10 1010 10 10

Now we can see that the orange juice is…And the grape juice is …

50 oz30 oz

50

30

T O T A L

Why 10?Why 10?

Because 80 ÷ 8 = 10 Or algebraically: 8b = 80

So… b = 10

What is the ratio in the problem?Orange to grape is 5:3. So…

Explore – Guided Practice

Agenda

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Let’s practice this next one together.

Continue to put your work on

your whiteboard

Tape Diagram Tool Tape Diagram Tool


Agenda

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A florist makes Mother’s Day bouquets of a dozen roses with a ratio of 1 pink rose to every 2 yellow roses. How many yellow roses are needed for 1 bouquet?

Vocabulary:

Here are the tapes: Now You:Label the tape diagram with

the information from the problem.

_____________

_____________

Let’s see how you did!

Hint: A dozen is 12.Guided Practice #1Guided Practice #1

What is the ratio in the problem?

Pink to yellow is 1:2.

What is a bouquet? What is a bouquet?


Vocabulary

Agenda

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Bouquet - a pretty collection of flowers sometimes with a bow usually given as a gift to someone.

Roses

Back to LessonBack to Lesson


Agenda

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A florist makes Mother’s Day bouquets of a dozen roses with a ratio of 1 pink rose to every 2 yellow roses. How many yellow roses are needed for 1 bouquet?

Vocabulary

pink

yellow

?

?

12

Hint: A dozen is 12.

I know that 3 boxes is equal to 12 roses so each box has… 4 roses

4

4 4

That makes the pink equal to

4 roses

And the answer: Yellow roses needed is...

Answer:8 roses

4

8

Guided Practice #1Guided Practice #1T O

T A L



Agenda

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Try the next one on your own.

Remember to put your

work on the

worksheet.



Agenda

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Mrs. Stanford is having a class pizza party. She has found that students prefer pepperoni pizza to cheese pizza in a ratio of 3 to 1. If she needs 48 slices of pizza in total, how many slices of pepperoni will she need?

____________

____________________

Let’s see how you did!Identify the ratio. Draw the tapes.Then fill out the diagram and find the answer.

Is there anyone who can draw the diagram and find the answer?Ok, let’s see what it should look like.

The ratio of pepperoni to cheese is 3:1.



Agenda

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Mrs. Stanford is having a class pizza party. She has found that students prefer pepperoni pizza to cheese pizza in a ratio of 3 to 1. If she needs 48 slices of pizza in total, how many slices of pepperoni will she need?

____________

____________________

pepperoni

cheese48 slices

If all four boxes equals 48 slices, then that means that each box is equal to …

12 12 1212

12 slices

So the amount of pepperoni pizza is…

Answer:36 slices

36

T O T A L


Explore – Independent Practice

Agenda

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There are two more tape diagram ratio problems for you to solve on your own on your worksheet. Show your work. Circle your answer.

Answer #3 Answer #4 Challenge Answers

Tape Diagram Tape Diagram

orange

brown45

T O T A L

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Answer: 9 brown candies Answer: 9 brown candies

Explore – Independent Practice Answers

Agenda

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The ratio of orange to brown candies in a bag of M & Ms is 4:1. If there are 45 orange and brown candies in the bag of M & Ms altogether then how many brown candies are there?

Independent Practice #3

9 9 9 9

9

Ratio of orange to brown is 4:1Ratio of orange to brown is 4:1

Explore – Independent Practice Answers

Agenda

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For every eraser in a pencil box there are 2 pencils. If there are 14 pencils in the box, then how many pencils and erasers are there altogether?

Independent Practice #4

pencils

eraser?

T O T A L

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Answer: 21 pencils & erasers

Ratio of pencils to erasers is 2:1Ratio of pencils to erasers is 2:1

7 7

7

Explore – Independent Practice Challenge Answers

Agenda

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To make the Perfectly Pink paint color you use 8 parts of white paint for every one part of red paint. If 27 cups of Perfectly Pink paint is mixed up in a bucket, then how many cups of red paint were used?

Challenge Practice #5

Answer: 3 cups red paintAnswer: 3 cups red paint

The ratio of flour to sugar in a cake recipe is 7 to 5. If the recipe calls for 20 tablespoons of sugar, then how many tablespoons of flour and sugar will be required in total?


Answer: 48 tablespoons totalAnswer: 48 tablespoons total

Explore – Independent Practice Challenge Answers

Agenda

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A water molecule has a ratio of 2 Hydrogen atoms for every 1 Oxygen atom. If there are 27 atoms that make up some water, then how many Hydrogen atoms are there?


Answer: 18 atoms of HAnswer: 18 atoms of H

The ratio of flour to sugar in a cake recipe is 7 to 5. If the recipe calls for 20 tablespoons of sugar, then how many tablespoons of flour and sugar will be required in total? Extension: For the problem above: If 4 tablespoons equals ¼ cup, then how many cups of flour and how many cups of sugar are required for the cake?


Answer: 20 tbsp sugar ÷ 4 = 5 quarter cups or 1 ¼ cups sugar28 tbsp flour ÷ 4 = 7 quarter cups or 1 ¾ cups flour

Answer: 20 tbsp sugar ÷ 4 = 5 quarter cups or 1 ¼ cups sugar28 tbsp flour ÷ 4 = 7 quarter cups or 1 ¾ cups flour

Exit Ticket – use the half sheet of paper provided

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The painting project will require a gallon of orange paint . 1. How many cups of red paint and yellow paint will Abby need to make enough of her orange paint for the project?

Hint: A gallon is 16 cups.

2. How many cups of red paint and yellow paint will Zack need to make enough of her orange paint for the project?

Use tape diagrams to determine how much red and how much yellow paint each

child needs.

using tape diagrams with part- whole ratio problems 1

Documents

orange grape

ounces of orange juice

ratio of yellow

abbys orange paint

gallon of orange paint

zacks orange paint

yellow paint

orange color