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6 th Grade Math Homework

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.

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6 th Grade Math Homework

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  1. 6th Grade Math Homework Page 394 #1-10 Answers

  2. 6th Grade Math Homework Page 400 #1-5 And Page 403 #1-5

  3. 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.

  4. 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)

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

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

  7. Proportions and Customary Measurement 8-3 Course 1 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

  8. Proportions and Customary Measurement 8-3 Course 1 Today’s Learning Goal Assignment Learn to use proportions to make conversions within the customary system.

  9. Proportions and Customary Measurement 8-3 Course 1

  10. Proportions and Customary Measurement 8-3 4 hr 1 hr ____ _____ x min 60 min Course 1 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. = 60 • 4= 1 • x The cross products are equal. 240= x Sonja hiked for 240 minutes.

  11. Proportions and Customary Measurement 8-3 3 hr 1 hr ____ _____ x min 60 min Course 1 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. = 60 • 3= 1 •x The cross products are equal. 180= x Helga biked for 180 minutes.

  12. Proportions and Customary Measurement 8-3 x ft 1 ft 72 12x ____ ____ ___ ___ 12 12 72 in. 12 in Course 1 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. = 12 •x = 1 • 72 The cross products are equal. 12x= 72 x is multiplied by 12. Divide both sides by 12 to undo the multiplication. = x = 6 Mr. Lee is 6 feet tall.

  13. Proportions and Customary Measurement 8-3 x ft 1 ft 60 12x ____ ____ ___ ___ 12 12 60 in. 12 in. Course 1 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. = 12 •x = 1 • 60 The cross products are equal. 12x= 60 x is multiplied by 12. Divide both sides by 12 to undo the multiplication. = x = 5 Ms. Hagan is 5 feet tall.

  14. Proportions and Customary Measurement 8-3 x gal 1 gal 56 16x ______ _______ ___ ___ 16 16 56 cups 16 cups Course 1 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. = 16 •x = 1 • 56 The cross products are equal. 16x= 56 x is multiplied by 16. Divide both sides by 16 to undo the multiplication. = x = 3.5 Hunter used 3.5 gallons of water to wash his car.

  15. Proportions and Customary Measurement 8-3 x gal 1 gal 40 16x ______ _______ ___ ___ 16 16 40 cups 16 cups Course 1 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. = 16 •x = 1 • 40 The cross products are equal. 16x= 40 x is multiplied by 16. Divide both sides by 16 to undo the multiplication. = x = 2.5 Seymour used 2.5 gallons of water to wash his dog.

  16. 6th Grade Math Homework Page 403 #1-5

  17. Proportions and Customary Measurement 8-3 1 __ 2 Course 1 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 > = 21 days

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