Daily Review
1. Using the distributive property rewrite
the sum of 42 + 24 as a multiple of a sum
whose addends have no common factors
of the following number.
2. Using the distributive property rewrite
the sum of 88+44 as a multiple of a sum
whose addends have no common factors
of the following number.
Homework Check
5. 27 girls
6. A
7. 12
8. D
Equivalent Ratio Review
• The table shows the number of chairs and
tables needed for a banquet. How many
tables are needed for 48 chairs.
Tables and Chairs
Tables
2
3
4
x
Chairs
16
24
32
48
GPS: MCC6.RP.1 Understand the concept of a ratio and use ratio
language to describe a ratio relationship between two
quantities.
MCC6.RP.3:Use rate and ratio to solve real world problems . a.
Make table of equivalent ratios with whole numbers
Essential Questions
• What information do I get when I
compare two numbers using a ratio?
• What are equivalent ratios? Can I give
examples of equivalent ratios?
• What kinds of problems can I solve by
using ratios?
Add to Vocabulary Sheet
Term
Definition
Example
equivalent
ratios
Two equal ratios
8 4
=
6 3
cross products
The products of the
numerator of one ratio and
the denominator of the
other ratio
8 4
=
6 3
cross multiply
One way to tell if two ratio
or rates are equivalent.
8 4
=
6 3
proportion
Two equal ratios
2 12
=
3
𝑦
Variable
Represents unknown
“number”
a–z
a=12
Shadow Problem
If Fabian is 6 feet tall and his shadow is 9 feet
long, how tall is the flag pole if it has a 32 foot
shadow?
What is It?
How can it be written?
Two equal ratios
Proportion
How is it solved?
By cross multiplying and
solving for the variable
In fraction form,
however, it can be
written using the word
(to) and a colon (:)
What are some examples?
Solving ratio word problems using a
proportion
• A recipe uses 6 cups of flour for every 3 cups
of sugar. If I want to make a recipe using 10
cups of flour. How many cups of sugar should I
use?
• Jordan’s store sold mp3 players and
headphones in the ratio 3:7.His store sold 9
mp3 players yesterday. How many
headphones were sold?
• If Fabian is 6 feet tall and his shadow is 9 feet
long, how tall is the flag pole if it has a 32 foot
shadow?
Independent Practice
• Pairs
– Complete proportion handout examples
What is?
Summarizing
• What is a proportion?
• What is a variable?
• What is the inverse operation (undo) for
multiplication?
• How do we solve proportions?