Chapter 3
Ratios and Rates
Day…..
1.
Expressing ratios in all forms
2.
Equivalent ratios
3.
Creating and interpreting ratio tables to
represent and solve problems involving
equivalent ratios.
4.
Exploring ratios using models
5.
Creating and simplifying equivalent ratios
Day 1
Bell Work
During one year Mrs. Laymon sent 484 text
messages. This number was 1/3 the number of text
messages her son sent during the same year. How
Many text message did her son send?
Draw a diagram and justify your response.
If he sent the same number of messages each month,
how many messages did he send in one month?
I Can….
express ratios in all
forms.
(ex. a:b, a to b, and
𝑎
)
𝑏
Vocabulary
• Ratio – A comparison of two quantities
by division.
𝑎
(Example: a:b, a to b, )
𝑏
• Equivalent Ratio – ratios the express the same relationship
between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the
4 20
80
same number. (Example: 2x20 = 40 )
• Ratio Table – a table with columns filled with pairs of numbers
that have the same ratio.
Example: Nails Used
5
10
15
Shelves Hung
1
2
3
Introducing Ratios
Essential Understanding:
• A ratio compares two quantities. It can compare a part
to a part, part to whole, or whole to part.
• Ratios can be written 3 different ways 1:2, 1 to 2, or
½
• Ratios can be written in simplest form by dividing
each quantity by the greatest common factor.
3
Example: can be reduced to ½ by dividing both qualities
6
by 2.
Ratio Scavenger Hunt
1. Write your exit ticket.
2. Pack up everything but a pencil.
3. When told, place your backpack or other
belongings in your chair
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 2
Bell Work
A recipe requires a ratio of 2 cups of flour to
3 cups of water. How much water will you
need if you have 12 cups of flour?
The ratio of Tennessee representatives to total
representatives in the U.S Congress is 3 to 145.
If the U.S. Congress has 435 representatives,
how many represent Tennessee?
Homework Check
Vocabulary
No New Vocabulary
• Ratio – A comparison of two quantities
by division.
𝑎
(Example: a:b, a to b, )
𝑏
• Equivalent Ratio – ratios the express the same relationship
between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the
4 20
80
same number. (Example: 2x20 = 40 )
• Ratio Table – a table with columns filled with pairs of numbers
that have the same ratio.
Example: Nails Used
5
10
15
Shelves Hung
1
2
3
I Can….
determine if two
ratios are equivalent.
Equivalent Ratios
Essential Understanding:
• To create equivalent ratios, multiply or divide
each quantity by the same number.
• To determine if two ratios are equivalent, first
write the ratios in fraction form. Then find
their cross products by multiplying the
numerator of one ratio by the denominator of
the other product. If the cross products are
equivalent then the ratios are equivalent.
Watch This
• http://learnzillion.com/lessons/606-createequivalent-ratios
• http://learnzillion.com/lessons/607-simplifyratios-using-common-factors
Practice
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 3
Bell Work
The ratio of walkers to bikers on a trail is about
10 to 6. If there are 20 walkers, about how
many bikers would there be?
Draw a diagram and justify your response.
Homework Check
Vocabulary
No New Vocabulary
• Ratio – A comparison of two quantities
by division.
𝑎
(Example: a:b, a to b, )
𝑏
• Equivalent Ratio – ratios the express the same relationship
between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the
4 20
80
same number. (Example: 2x20 = 40 )
• Ratio Table – a table with columns filled with pairs of numbers
that have the same ratio.
Example: Nails Used
5
10
15
Shelves Hung
1
2
3
I Can….
create and use ratio
tables to represent and
solve problems involving
equivalent ratios.
Ratio Tables
Essential Understanding:
• Ratio tables can be used to find equivalent
ratios.
Remember equivalent ratios express the same
relationship between two quantities.
Example: Ratio of eggs to servings in a recipe for cake
Servings
8
16
24
32
40
48
56
Eggs
2
4
6
8
10
12
14
Watch This
• http://learnzillion.com/lessons/587-solveratio-problems-using-tables-andmultiplication
• http://learnzillion.com/lessons/608-solvemissing-values-in-ratio-problems-using-a-table
Practice
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 4
Bell Work
The table below shows how students in two classes arrive at
school most mornings.
Method
Bus
Walk
Bike
Car
Number of Students
14
18
10
8
Based on the results in the table, how many how many can be
expected to take the bus if there are 250 students in the school?
I Can….
explore ratios using
models.
Vocabulary
No New Vocabulary
• Ratio – A comparison of two quantities
by division.
𝑎
(Example: a:b, a to b, )
𝑏
• Equivalent Ratio – ratios the express the same relationship
between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the
4 20
80
same number. (Example: 2x20 = 40 )
• Ratio Table – a table with columns filled with pairs of numbers
that have the same ratio.
Example: Nails Used
5
10
15
Shelves Hung
1
2
3
Homework Check
Lego Creation Station
Clear your desk
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 5
Bell Work
Packs of gum are on sale this week 5 for $4. If Mrs. E wanted to
buy gum for the class how much would it cost to buy each
student a pack?
Create a ratio table to find the price for 10, 15, 20, and 25 packs.
# of Packs
5
Price
$4
10
15
20
25
Wow! That’s a lot of money for gum, when you have 90 students!
Mrs. E decides to buy every student one piece of gum instead.
For a total of 90 pieces. Each pack had 5 pieces.
How many packs did she buy in all?
Homework Check
Vocabulary
No New Vocabulary
• Ratio – A comparison of two quantities
by division.
𝑎
(Example: a:b, a to b, )
𝑏
• Equivalent Ratio – ratios the express the same relationship
between two quantities.
(Example: 10:15 is equivalent to 2:3 and 20:30)
• Scaling – to multiply or divide two related quantities by the
4 20
80
same number. (Example: 2x20 = 40 )
• Ratio Table – a table with columns filled with pairs of numbers
that have the same ratio.
Example: Nails Used
5
10
15
Shelves Hung
1
2
3
I Can….
• Relate ratios and rates to the
multiplication and division of
fractions.
• Look at my answer to check that
I answered what was asked and see
if my answer makes sense.
Let’s Review
Please
Take out your
Study Guide
pOp Quiz
• Take out a pencil and a calculator
• Clear everything else from your desk
Wrap it Up
• Review
• Questions
• Quiz
Ratio Bingo