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6 th Grade Math Homework. Page 394 #1-10 Answers. 6 th Grade Math Homework. Page 400 #1-5 And Page 403 #1-5. Our Learning Goal for Chapter 8. - PowerPoint PPT Presentation
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6th Grade Math Homework
Page 394
#1-10
Answers
6th Grade Math Homework
Page 400 #1-5
And
Page 403 #1-5
Our Learning Goal for Chapter 8Students will understand ratios, proportions, and percents by being able to write ratios, find unit rates, solve proportions, identify similar figures, find unknown measures, make scale drawings, understand relationships, and solve problems including those involving discounts, tips, sales tax, and simple interest.
Our Learning Goal Assignments• Learn to write ratios and rates and to find unit rates (8-1)• Learn to write and solve proportions (8-2)• Learn to use proportions to make conversions within the
customary system (8-3)• Learn to use ratios to identify similar figures (8-4)• Learn to use proportions and similar figures to find unknown
measures (8-5)• Learn to read and use map scale and scale drawings (8-6)• Learn to write percents as decimals and as fractions (8-7)• Learn to write decimals and fractions as percents (8-8)• Learn to find the missing value in a percent problem (8-9)• Learn to solve percent problems that involve discounts, tips,
and sales tax (8-10)
8-3 Proportions and Customary Measurement
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Warm UpFind the missing value in each proportion.
1. =
2. =
3. =
4. =
x = 6
x = 25
x = 35
Course 1
8-3 Proportions and Customary Measurement
4 1
__ 24 x
__
x30
__ 5 6
__
1416
__ x 40
__
8 x
__ 12 18
__ x = 12
Problem of the Day
There are 4 ounces in a gill. There are 4 gills in a pint. There are 8 pints in a gallon. How many ounces are the same as the total of 3 gallons, 3 pints, 3 gills, and 3 ounces?447
Course 1
8-3 Proportions and Customary Measurement
Today’s Learning Goal Assignment
Learn to use proportions to make conversions within the customary system.
Course 1
8-3 Proportions and Customary Measurement
Course 1
8-3 Proportions and Customary Measurement
Additional Example 1A: Using Proportions to Convert Measurements
A. Sonja went hiking for 4 hours. For how many minutes did she go hiking?
4 hrx min
____ 1 hr60 min
_____ =
1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find.
The cross products are equal.60 • 4 = 1 • x
240 = x
Sonja hiked for 240 minutes.
Course 1
8-3 Proportions and Customary Measurement
Try This: Example 1A
A. Helga went biking for 3 hours. For how many minutes did she go biking?
3 hrx min
____ 1 hr60 min
_____ =
1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find.
The cross products are equal.60 • 3 = 1 • x
180 = x
Helga biked for 180 minutes.
Course 1
8-3 Proportions and Customary Measurement
Additional Example 1B: Using Proportions to Convert Measurements
B. Mr. Lee is 72 inches tall. Find his height in feet.
x ft72 in.
____ 1 ft 12 in
____ =
1 foot is 12 inches. Write a proportion. Use a variable for the value you are trying to find.The cross products are equal.12 • x = 1 • 72
x is multiplied by 12.12x = 72
Mr. Lee is 6 feet tall.
12x 12
___ 72 12
___ = Divide both sides by 12 to undo the multiplication.
x = 6
Course 1
8-3 Proportions and Customary Measurement
Try This: Example 1B
B. Ms. Hagan is 60 inches tall. Find her height in feet.
x ft60 in.
____ 1 ft 12 in.
____ =
1 foot is 12 inches. Write a proportion. Use a variable for the value you are trying to find.
The cross products are equal.12 • x = 1 • 60
x is multiplied by 12.12x = 60
Ms. Hagan is 5 feet tall.
12x 12
___ 60 12
___ = Divide both sides by 12 to undo the multiplication.
x = 5
Course 1
8-3 Proportions and Customary Measurement
Additional Example 1C: Using Proportions to Convert Measurements
C. Hunter used 56 cups of water to wash his car. How many gallons of water did he use?
x gal56 cups
______ 1 gal 16 cups
_______ =1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find.
The cross products are equal.16 • x = 1 • 56
x is multiplied by 16.16x = 56
Hunter used 3.5 gallons of water to wash his car.
16x 16
___ 56 16
___ = Divide both sides by 16 to undo the multiplication.
x = 3.5
Course 1
8-3 Proportions and Customary Measurement
Try This: Example 1C
C. Seymour used 40 cups of water to wash his dog. How many gallons of water did he use?
x gal40 cups
______ 1 gal 16 cups
_______ =1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find.
The cross products are equal.16 • x = 1 • 40
x is multiplied by 16.16x = 40
Seymour used 2.5 gallons of water to wash his dog.
16x 16
___ 40 16
___ = Divide both sides by 16 to undo the multiplication.
x = 2.5
Course 1
8-3 Proportions and Customary Measurement
6th Grade Math Homework
Page 403 #1-5
Lesson Quiz
Find the missing value.
1. in. = 6 yd
2. 24 pt = gal
Compare. Write <, >, or =.
3. 42 oz 2 lb.
4. 7,920 ft 1.5 mi
5. If your family is going to take a 3-week
vacation, how many days will you be gone?
3
216
Insert Lesson Title Here
>
=
1 2
__
21 daysCourse 1
8-3 Proportions and Customary Measurement
