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Lesson 13: From Ratio Tables to Equations Using the Value of

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Kaelyn James

on 14 October 2013

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Transcript of Lesson 13: From Ratio Tables to Equations Using the Value of

Lesson 13: From Ratio Tables to Equations Using the Value of a
Ratio

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ratio, which of the following statements are true?
Remember it's like a puzzle...
Music
True or False?
Complete the Table...
Red Paint (R)
Yellow Paint

(Y) Relationship


3

3 = 1 × 3

2

9

9 = 3 × 3



12
5

Table completed
p. 54 Malia is on a road trip. During the first five minutes of Malia’s trip, she sees
18

cars
and
6

trucks
. Complete the ratio table using this comparison. Let
T
represent the number of
trucks
she sees, and let
C
represent the number of
cars
she sees.

Trucks Cars
1
3
18
12
60
Answer
Trucks Cars
1 3
3 9
6 18
12 36
20 60
Answer: 3/1 or 3
What equation would model the relationship between cars and trucks?

Group Time
http://www.k12mathworksheets.com/ratios/gr6-ratio_tables.pdf
Choose wisely...
3/4 of a 4-gallon mix would be yellow paint.
Choose Wisely...
Every 1 gallon of yellow paint requires 1/3
gallon of red paint
Choose wisely...
Every 1 gallon of red paint requires 3 gallons of yellow paint.
Choose wisely...
There is 1 gallon of red paint in a 4-gallon mix of orange paint.
Choose wisely...
There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.
Red Paint (R)
Yellow Paint

(Y) Relationship

1

3

3 = 1 × 3

2
6

6=2 x 3
3

9

9 = 3 × 3

4


12
12= 4 x 3
5
15 15= 5 x 3

What is the value of the ratio of cars to trucks?
Answer
C=3T
At the end of the trip, Malia had counted 1,254 trucks. How many
cars did she see?

Put it in the equation!!!
C=3T
C= 1254 x 3
C=
!!!
In your groups, you will read the word problem. You will:
-create a ratio table with missing values (you must know the answer)
-create three questions to go along with your table.
-tomorrow another group will attempt to answer your questions.
Exercise 3
Jorge now wants to make purple paint. Jorge decides to mix 1 gallon of blue paint with 4 gallons of red paint. Fill out a table based on the information.
Table
Blue

Red
Relationship
1

4
4=1x4
p. 53 problem a.
. Using the same relationship of red to blue from above, create a table that models the relationship of the three colors blue, red, and purple (total) paint. Let 𝐵 represent the number of gallons of blue paint, let 𝑅 represent the number of gallons of red paint, and let 𝑇 represent the total number of gallons of (purple) paint. Then write an equation that also models this relationship and answer the questions.
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