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 8 Students 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)

Proportions and Customary Measurement 8-3 Proportions and Customary Measurement Course 1 Warm Up Problem of the Day Lesson Presentation

8-3 Proportions and Customary Measurement Warm Up Course 1 8-3 Proportions and Customary Measurement Warm Up Find the missing value in each proportion. 1. = 2. = 3. = 4. = 4 1 __ 24 x __ x = 6 x 30 __ 5 6 __ x = 25 14 16 __ x 40 __ x = 35 8 x __ 12 18 __ x = 12

8-3 Proportions and Customary Measurement Problem of the Day Course 1 8-3 Proportions and Customary Measurement 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

Additional Example 1A: Using Proportions to Convert Measurements 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? 1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find. 1 hr 60 min _____ 4 hr x min ____ = 60 • 4 = 1 • x The cross products are equal. 240 = x Sonja hiked for 240 minutes.

8-3 Proportions and Customary Measurement Try This: Example 1A 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? 1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find. 1 hr 60 min _____ 3 hr x min ____ = 60 • 3 = 1 • x The cross products are equal. 180 = x Helga biked for 180 minutes.

Additional Example 1B: Using Proportions to Convert Measurements 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. 1 foot is 12 inches. Write a proportion. Use a variable for the value you are trying to find. 1 ft 12 in ____ x ft 72 in. ____ = 12 • x = 1 • 72 The cross products are equal. 12x = 72 x is multiplied by 12. 12x 12 ___ 72 12 ___ Divide both sides by 12 to undo the multiplication. = x = 6 Mr. Lee is 6 feet tall.

8-3 Proportions and Customary Measurement Try This: Example 1B Course 1 8-3 Proportions and Customary Measurement Try This: Example 1B B. Ms. Hagan is 60 inches tall. Find her height in feet. 1 foot is 12 inches. Write a proportion. Use a variable for the value you are trying to find. 1 ft 12 in. ____ x ft 60 in. ____ = 12 • x = 1 • 60 The cross products are equal. 12x = 60 x is multiplied by 12. 12x 12 ___ 60 12 ___ Divide both sides by 12 to undo the multiplication. = x = 5 Ms. Hagan is 5 feet tall.

Additional Example 1C: Using Proportions to Convert Measurements 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? 1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find. 1 gal 16 cups _______ x gal 56 cups ______ = 16 • x = 1 • 56 The cross products are equal. 16x = 56 x is multiplied by 16. 16x 16 ___ 56 16 ___ Divide both sides by 16 to undo the multiplication. = x = 3.5 Hunter used 3.5 gallons of water to wash his car.

8-3 Proportions and Customary Measurement Try This: Example 1C 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? 1 gallon is 16 cups. Write a proportion. Use a variable for the value you are trying to find. 1 gal 16 cups _______ x gal 40 cups ______ = 16 • x = 1 • 40 The cross products are equal. 16x = 40 x is multiplied by 16. 16x 16 ___ 40 16 ___ Divide both sides by 16 to undo the multiplication. = x = 2.5 Seymour used 2.5 gallons of water to wash his dog.

6th Grade Math Homework Page 403 #1-5

Insert Lesson Title Here Course 1 8-3 Proportions and Customary Measurement Insert Lesson Title Here 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? 216 3 1 2 __ > = 21 days