Introduction to Ratios in Tables

Expressions and Equations
6

Unit 2

Lesson 11

Introducing Ratios

Representing Ratios with Tables

Learning
Targets

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Unit 2 ● Lesson 11

● If I am looking at a table of

values, I will know where the
rows are and where the columns
are.

● When I see a table representing a

set of equivalent ratios, I will be
able to come up with numbers to
make a new row.

● When I see a table representing a

set of equivalent ratios, I will be
able to explain what the
numbers mean.

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Warm-up

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

2 minutes with shoulder partner

1.

How many total tiles will be in:

a.

the 4th figure?

b.

the 5th figure?

c.

the 10th figure?

2.

How do you see it growing?

PAGE 83

Unit 2 ● Lesson 11 ● Activity 1

Multiple Choice

How many total tiles will be in the 4th figure?

• 22 tiles

• 28 tiles

• 30 tiles

• 32 tiles

Multiple Choice

the 5th figure?

• 45 tiles

• 30 tiles

• 35 tiles

• 40 tiles

Multiple Choice

the 10th figure?

• 40 tiles

• 50 tiles

• 60 tiles

• 70 tiles

Open Ended

How do you see it growing?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

A Huge Amount of Sparkling Orange Juice

Unit 2 ● Lesson 11 ● Activity 2

Glossary
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Some tables are simple and we can simply find the number of
increase or decrease for each COLUMN. Example:

Glossary
6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Glossary
6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

A recipe for trail mix says: “Mix 7 ounces of
almonds with 5 ounces of raisins.” Here is a
table that has been started to show how
many ounces of almonds and raisins would
be in different-sized batches of this trail
mix.

1.

Complete the table so that ratios
represented by each row are
equivalent.

2.

What methods did you use to fill in the
table?

3.

How do you know that each row shows
a ratio that is equivalent to 7 : 5?
Explain your reasoning.

Batches of Trail Mix

Unit 2 ● Lesson 11 ● Activity 3

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Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

● When might it be easier to use a table versus a

double number line diagram to represent equivalent
ratios?

● If you know one ratio in a table row, how do you find

equivalent ratios for other rows in the table?

Representing Ratios with Tables

Unit 2 ● Lesson 11

6

Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

In previous lessons, we worked with a diagram and a double
number line that represent this cookie recipe. Here is a table
that represents the same situation.

1.

Write a sentence that describes a ratio shown in the table.

2.

What does the second row of numbers represent?

3.

Complete the last row for a different batch size that hasn’t
been used so far in the table. Explain or show your
reasoning.

Batches of Cookies in a Table

Unit 2 ● Lesson 11 ● Activity 4

flour (cups)

vanilla (teaspoons)

5

2

15

6

2

1

Glossary
6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

table

A table organizes information into
horizontal rows and vertical
columns. The first row or column
usually tells what the numbers
represent.

For example, here is a table
showing the tail lengths of three
different pets. This table has four
rows and two columns.

Unit 2 ● Lesson 11

Glossary
6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Practice problems: 2 min on your own. Then
compare answers with table.

Glossary
6

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Try this on your whiteboard.

Glossary
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

2 minutes on your own

.

This slide deck is copyright 2020 by Kendall Hunt Publishing, https://im.kendallhunt.com/, and is licensed under the Creative
Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0),
https://creativecommons.org/licenses/by-nc/4.0/.

All curriculum excerpts are under the following licenses:

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright
2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY
4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the
Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are
licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without
the prior and express written consent of Illustrative Mathematics.

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