Ratio Tables Teacher Notes
Objective
Use ratio tables to represent and solve problems involving equivalent ratios.
Use these worksheets if students have trouble
• writing ratios
• solving proportional relationships
Vocabulary
• equivalent forms of one
• equivalent ratios
• ratio
• ratio table
Getting Started
Review how to write fractions in simplest form. Distinguish numerator and denominator and relate
fractions to ratios. Discuss multiples and how this relates to equivalent forms of one.
Lesson Information
Remind students that a ratio table displays pairs of numbers that have the same ratio.
Math Challenge
Complete the ratio table to solve the problem.
Rosie can make 28 necklaces in 16 hours. At this rate, how long would it take her to make 7
necklaces?
It would take her 4 hours to make 7 necklaces.
Differentiated Instruction
Kinesthetic Learners Have students work in pairs. Distribute dried beans or counters to each
group. Write the following ratios on the board. Have students use the beans or counters to create a
table for each ratio, labeling the relationship numerator and denominator. Tell students to find five
equivalent ratios for each example. Have students practice explaining to their partners how to find
the equivalent ratios, and then write the modeled ratio tables on a piece of paper. Ask pairs to share
their ratio tables with other classmates.
2 51 3
3, 4,6, 7
Naturalistic Learners Tell students to work in small groups. Students should use their classroom
and school environment to find ratios. Encourage them to consider smaller ratios such as the
number of paintbrushes per can in the art room, as well as larger ratios such as the number of
certain colored tiles on the floor of one classroom. Have groups brainstorm as many ratio examples
as they can, and then write two problems with ratio tables. Tell students to include the completed
tables and the answers to their problems. Encourage groups to share their problems with the class
and invite their classmates to find the answers.
Assess
Step 1 Draw the following ratio table on the board.
Step 2 Tell students to complete the ratio table to find the number of ounces of pineapple juice
needed for 5 cups of punch. Then have them find the number of cups of punch that could be
made with 16 ounces of pineapple juice.
Step 3 Have students work in pairs. Ask them to discuss what the ratio table shows and explain how
they found the equivalent ratios.
Step 4 Have students work alone to write an evaluation of the ratio table on the board. Encourage
students to use correct vocabulary terms and clear language in their explanations.
NAME ___________________________________________________________________ DATE _______________
NAME
Lesson
DATE
Vocabulary
and and
Vocabulary
2-2
English
Language
Development
English
Language
Development
Ratio Tables
Activate Prior Knowledge
2
21
___
3
16
___
12
2
c __
5
4
8
__
d
b
3
8
Chapter 2
Match each ratio in the first column with its simplified form in the
second column.
4
a 7
1 ___
10
4
__
3
1
Definition Review
Fill in the blanks.
ratios are ratios that have the same value.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5
6
A
is a table with columns filled with pairs of numbers
that have the same ratio.
7
Equivalent forms of
represent the same number.
are different expressions that
Application
• Students work in pairs.
• Student 1 creates a ratio table omitting the entries in one of the columns.
• Student 2 attempts to determine the missing values and explains to
student 1 how the solution was found.
• Students now interchange roles and repeat the activity.
• Repeat as time permits.
Math Triumphs
Ratio Tables
1
Lesson
2-2 A27
NAME ___________________________________________________________________ DATE _______________
Lesson
NAME
DATE
Skills
Skills Practice
2-2 Practice
Ratio Tables
Use the ratio table to solve each exercise.
1
The directions say to mix 3 capfuls of red paint for every capful
of yellow paint. How many capfuls of yellow paint should be
mixed with 27 capfuls of red paint?
Use equivalent forms of one.
3×
=
9×
=
1×
=
3×
=
________________
________________
Red paint
3
9
Yellow paint
1
3
You need
2
capfuls of yellow paint.
Lori needs 6 large apples to make a pie. How many apples would
she need to make 8 pies?
Use equivalent forms of one.
6×
=
12 ×
=
24 ×
=
1×
=
2×
=
4×
=
________________
_________________
6
12
Number of Pies
1
2
Lori would need
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Number of Apples
_________________
apples.
Complete the ratio tables.
3
5
Numerator
16
32
Denominator
4
8
Numerator
81
27
Denominator
54
18
2 Ratio Tables
A28
Lesson 2-2
4
6
Numerator
3
9
Denominator
1
3
Numerator
32
16
Denominator
80
40
Math Triumphs
NAME ___________________________________________________________________ DATE _______________
NAME
Lesson
Problem-Solving Practice
Problem-Solving Practice
2-2
Ratio Tables
DATE
Solve.
1
Mateo receives one free sandwich after buying
10 drinks. How many drinks must he buy to receive 8 free
sandwiches?
RESTAURANTS
Number of Sandwiches
2
3
10
20
1
2
Chapter 2
Number of Drinks
Pro Pizza says that one of its family size pizzas will
feed 6 people. How many family size pizzas are needed to feed
48 people?
PIZZA
Number of Pizzas
1
2
Number of People
6
12
CORN ON THE COBB The sign at the grocery store says that
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
24 ears of corn cost $8. How much does 6 ears of corn cost?
4
Ears of Corn
24
Cost ($)
8
MILEAGE Rico drove 200 miles on 12 gallons of gas. How far
can he drive on 3 gallons of gas?
Miles
Gallons of Gas
5
200
12
6
Eight people can fit into each shuttle van. How many
shuttle vans are needed to transport 64 people to the airport?
TRAVEL
People
8
16
Shuttle Vans Needed
1
2
Math Triumphs
Ratio Tables
Lesson
2-2 3A29
NAME ___________________________________________________________________ DATE _______________
Lesson
NAME
DATE
Homework Practice
2-2 Homework Practice
Ratio Tables
Use the ratio tables to solve each exercise.
1
2
3
The sign at the garage sale said 12 paper back books
could be purchased for $8. How much would 3 paper back books cost?
GARAGE SALE
Number of Paper Back Books
12
6
Cost ($)
8
4
SUDOKU Cammy can complete 3 Sudoku puzzles in 2 hours. How
many puzzles can she complete in 8 hours?
Sudoku Puzzles
3
6
Hours
2
4
Mark jogged 12 miles in 80 minutes. If he jogged at the
same speed the whole time, how far did he jog after 20 minutes?
EXERCISE
Miles
12
Minutes
80
6
Complete the ratio tables.
4
6
5
10
Denominator
2
4
Numerator
14
28
Denominator
10
20
Numerator
48
24
Denominator
80
40
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5
Numerator
Write the vocabulary word that completes each sentence.
7
Different expressions that represent the same number are called
.
8
A
4 Ratio Tables
A30
Lesson 2-2
is a comparison of two quantities by division.
Math Triumphs
Ratio Tables Answers
Vocabulary and English Language Development
1. c
2. a
3. b
4. d
5. Equivalent
6. ratio table
7. one
Skills Practice
1. 9
2. 48
3.
4.
5.
6.
Problem-Solving Practice
1. 80 drinks
2. 8 pizzas
3. $2
4. 50 miles
5. 8 vans
Homework Practice
1. $2
2. 12 puzzles
3. 3 miles
4.
5.
6.
7. equivalent forms of one
8. ratio