Download 5.1 to 5.4, 5.8 Notes

Name:
Math Notes
Date:
Period:
5.1 Introduction to Ratios
Ratio:
Comparing two amounts using division.
Ratios can be written in words, with a colon, as a fraction, or with a model
In Words
With a Colon
In Words
With a Colon
With a Model
As a Fraction
As a Fraction
5.2 Ratio Representations
1. Write each ratio as a fraction
2. Simplify each fraction
3. Compare the simplified fractions
There are 20 sixth graders and 30 eighth graders in the chess club.
Which is greater, the ratio of sixth graders to the total number of
club members, or the ratio of eighth graders to the total number of
club members?
Total club members = 20 + 30 = 50
Sixth grade 20
Total
50
20  10
50  10
= 52
<
The ratio of eighth graders to
the total number of club
member is greater.
Eighth grade 30
Total
50
30  10
50  10
=
3
5
Name:
Math Notes
Date:
Period:
5.3 Writing Equivalent Ratios
Rate:
A ratio compares different units.
4
4
Proportion:
Two ratios that are equivalent to each other.
Scaling up (Making equivalent fractions):
Multiply the numerator and denominator by the same factor.
Scaling down (Reducing or Simplifying):
Divide the numerator and denominator by the same factor.
Name:
Math Notes
Date:
Period:
5.4 Modeling Ratios
Double Number Line:
Two number lines that show how two numbers are equivalent.
The Muffin Man Bakery offers two types of muffins – corn or cinnamon raison. It
cost the bakery $2.50 to make 3 corn muffins.
5.8 Introduction to Unit Rates
Unit Rate:
Comparing two numbers when the denominator is one unit.
Unit rates are used to calculate the best buy.
Compare the prices for popcorn at
the movies.
Mega Bag
$10.24 for 31 oz.
Medium Bag $4.48 for 16 oz.
Kid’s Bag
Mega Bag
$10.24 $0.331
31 oz.
1 oz.
$10.24  31 =
$0.331/oz.
Medium Bag
$4.48
$0.28
16 oz.
1 oz.
$4.48  16 =
$0.28/oz.
Kid’s Bag
$2.40
$0.30
8 oz.
1 oz.
$2.40  8 =
$0.30/oz.
$2.40 for 8 oz
BEST
BUY