Dates to Remember



 Wash                         Khan
                              Academy
Clothes

                              Khan
cut the
                              Academy
 Grass
Warm-Up
1. Is the following a proportion? Why or why not:
      18/3 = 96/24

2. Solve: 3 + y = -y
            4      6
3. Students at MHS go to school 180 out of the 365 days
in a non leap year. What percent of the year is this?
Proportions
   The shadow of a 4 ft. tall mailbox is 3 ft. long.
   If the shadow of a tree is 36 ft. long, how tall
   is the tree?
  height          height
            =
 shadow          shadow

      4          H
      3      =   36
                           You must be careful to place the
                           same quantities in corresponding
144 = 3H                   positions in the proportion
H = 48
The tree is 48 ft. tall
                                      4
Are the Ratios Proportions?

Simplify to tell whether the ratios are equivalent.
Unit Conversions
Ratios vs. Rates
 A ratio is the comparison of two different numbers.
Solve: The basketball team won 7 games and lost 4 games.
  A. What is the ratio of wins to losses? B. What Percent
  of its games has the team won. (What is its win Percent?)
In a ratio, if the numerator and denominator are measured in
different units then the ratio is called a rate.
 You can travel 1200 miles on 60 gallons of gas. This rate is
 expressed as: 1200 miles/ 60 gal.
A unit rate is a rate in which the second quantity is 1. Like 60
miles per 1 hour. In the above example, what is the Unit? What
is the unit rate?
Comparing Unit Rates
Ratios vs. Rates
Ratios Involving Measurement



1. Express the ratio 6 feet to 15 inches as a fraction in
   simplest form.

Six feet = 72 in. Simplify 72/15; the answer is 24/5




*Change the larger unit to the smaller one. 3 pints = 6cups.
 The ratio is now 6 cups to 2 cups. Simplify to: 3/1
.   Class Work:
 Pages 62-63: Odd/Even
**Page 66: Odd; do 3, 5, 7
     Even; do 4, 6, 8
**Page 65: Odd; do 3, 5, 9
     Even; do 2, 6, 8

Dec.3

  • 2.
    Dates to Remember Wash Khan Academy Clothes Khan cut the Academy Grass
  • 3.
    Warm-Up 1. Is thefollowing a proportion? Why or why not: 18/3 = 96/24 2. Solve: 3 + y = -y 4 6 3. Students at MHS go to school 180 out of the 365 days in a non leap year. What percent of the year is this?
  • 4.
    Proportions The shadow of a 4 ft. tall mailbox is 3 ft. long. If the shadow of a tree is 36 ft. long, how tall is the tree? height height = shadow shadow 4 H 3 = 36 You must be careful to place the same quantities in corresponding 144 = 3H positions in the proportion H = 48 The tree is 48 ft. tall 4
  • 5.
    Are the RatiosProportions? Simplify to tell whether the ratios are equivalent.
  • 6.
  • 8.
    Ratios vs. Rates A ratio is the comparison of two different numbers. Solve: The basketball team won 7 games and lost 4 games. A. What is the ratio of wins to losses? B. What Percent of its games has the team won. (What is its win Percent?) In a ratio, if the numerator and denominator are measured in different units then the ratio is called a rate. You can travel 1200 miles on 60 gallons of gas. This rate is expressed as: 1200 miles/ 60 gal. A unit rate is a rate in which the second quantity is 1. Like 60 miles per 1 hour. In the above example, what is the Unit? What is the unit rate?
  • 9.
  • 10.
  • 11.
    Ratios Involving Measurement 1.Express the ratio 6 feet to 15 inches as a fraction in simplest form. Six feet = 72 in. Simplify 72/15; the answer is 24/5 *Change the larger unit to the smaller one. 3 pints = 6cups. The ratio is now 6 cups to 2 cups. Simplify to: 3/1
  • 13.
    . Class Work: Pages 62-63: Odd/Even **Page 66: Odd; do 3, 5, 7 Even; do 4, 6, 8 **Page 65: Odd; do 3, 5, 9 Even; do 2, 6, 8