Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Successfully reported this slideshow.

Like this presentation? Why not share!

- 7.3 by nglaze10 213 views
- The not-so-distant future of marketing by Jeff Pundyk 5663 views
- 2012 Chevrolet Colorado For Sale NE... by SidDillon Crete 311 views
- Pension pots and how to survive them by ILC- UK 3510 views
- Angel capital primer_10aug2010_bw by Bryan Watson 402 views
- Chapter2.4 by nglaze10 785 views

No Downloads

Total views

1,075

On SlideShare

0

From Embeds

0

Number of Embeds

2

Shares

0

Downloads

5

Comments

0

Likes

1

No embeds

No notes for slide

- 1. Warm Up California Standards Lesson Presentation Preview
- 2. Warm Up Write each fraction in lowest terms. 7 8 3 8 1 8 3 8 14 16 1. 9 72 3. 24 64 2. 45 120 4.
- 3. Preparation for MG1.1 Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters). California Standards
- 4. Vocabulary ratio equivalent ratios
- 5. A ratio is a comparison of two quantities. Ratios can be written in several ways. 7 to 5, 7:5, and name the same ratio. 7 5
- 6. Additional Example 1: Writing Ratios in Simplest Form Write the ratio 15 bikes to 9 skateboards in simplest form. 15 9 5 3 The ratio of bikes to skateboards is , 5:3, or 5 to 3. = Write the ratio as a fraction. = = Simplify. 5 3 15 ÷ 3 9 ÷ 3 bikes skateboards
- 7. Check It Out! Example 1 Write the ratio 24 shirts to 9 jeans in simplest form. 24 9 8 3 The ratio of shirts to jeans is , 8:3, or 8 to 3. = Write the ratio as a fraction. = = Simplify. 8 3 shirts jeans 24 ÷ 3 9 ÷ 3
- 8. When simplifying ratios based on measurements, write the quantities with the same units, if possible.
- 9. Write the ratio 3 yards to 12 feet in simplest form. First convert yards to feet. 9 feet 12 feet There are 3 feet in each yard. Additional Example 2: Writing Ratios Based on Measurement 3 yards = 3 ● 3 feet = 9 feet Multiply. Now write the ratio. Simplify. = 3 yards 12 feet 3 4 = 9 ÷ 3 12 ÷ 3 = The ratio is , 3:4, or 3 to 4. 3 4
- 10. Write the ratio 36 inches to 4 feet in simplest form. First convert feet to inches. 36 inches 48 inches There are 12 inches in each foot. Check It Out! Example 2 4 feet = 4 ● 12 inches = 48 inches Multiply. Now write the ratio. Simplify. = 36 inches 4 feet 3 4 = 36 ÷ 12 48 ÷ 12 = The ratio is , 3:4, or 3 to 4. 3 4
- 11. Ratios that make the same comparison are equivalent ratios . Equivalent ratios represent the same point on the number line. To check whether two ratios are equivalent, you can write both in simplest form.
- 12. Additional Example 3: Determining Whether Two Ratios Are Equivalent Simplify to tell whether the ratios are equivalent. 1 9 1 9 4 5 3 4 12 15 B. and 27 36 3 27 A. and 2 18 Since , the ratios are equivalent. 1 9 = 1 9 = 3 ÷ 3 27 ÷ 3 3 27 = = 2 ÷ 2 18 ÷ 2 2 18 = = 12 ÷ 3 15 ÷ 3 12 15 = = 27 ÷ 9 36 ÷ 9 27 36 = Since , the ratios are not equivalent. 4 5 3 4
- 13. Check It Out! Example 3 Simplify to tell whether the ratios are equivalent. 1 5 1 5 2 7 4 9 14 49 B. and 16 36 Since , the ratios are equivalent. 1 5 = 1 5 = 3 ÷ 3 15 ÷ 3 3 15 = = 9 ÷ 9 45 ÷ 9 9 45 = = 14 ÷ 7 49 ÷ 7 14 49 = = 16 ÷ 4 36 ÷ 4 16 36 = Since , the ratios are not equivalent. 2 7 4 9 3 15 A. and 9 45
- 14. Additional Example 4: Earth Science Application At 4°C, four cubic feet of silver has the same mass as 42 cubic feet of water. At 4°C, would 20 cubic feet of silver have the same mass as 210 cubic feet of water? Divide. Simplify. 4 ÷ 2 42 ÷ 2 ? = 20 ÷ 10 210 ÷ 10 2 21 = 2 21 4 42 ? = 20 210 Since , 210 cubic feet of water would have the same mass at 4°C as 20 cubic feet of silver. 2 21 = 2 21 ft 3 silver ft 3 water
- 15. Check It Out! Example 4 At 4°C, two cubic feet of silver has the same mass as 21 cubic feet of water. At 4°C, would 105 cubic feet of water have the same mass as 10 cubic feet of silver? Divide. Simplify. ? = 10 ÷ 5 105 ÷ 5 2 21 2 21 = 2 21 2 21 ? = 10 105 Since , 105 cubic feet of water would have the same mass at 4°C as 10 cubic feet of silver. 2 21 = 2 21 ft 3 silver ft 3 water
- 16. Lesson Quiz: Part I Write each ratio in simplest form. 1. 22 tigers to 44 lions 2. 5 feet to 14 inches Find two ratios that are equivalent to each given ratio. 4 15 3. 8 21 4. 8 30 12 45 Possible answer: , 16 42 24 63 Possible answer: , 1 2 30 7
- 17. Lesson Quiz: Part II 7. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. Are the ratios of poured juice to starting amount of juice equivalent? Simplify to tell whether the ratios are equivalent. and and 8 64 16 128 and ; yes, both equal 1 8 8 5 8 5 = ; yes 16 10 5. 36 24 6. 32 20 28 18 3 2 14 9 ; no

No public clipboards found for this slide

Be the first to comment