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Ratios and Proportions Using ratios to compare quantities
- 1. Ratios and Proportions Using ratios to compare quantities www.sudo24.com
- 2. Equivalent Ratios Simplified Ratios Understanding Ratios Activity Lesson Outline www.sudo24.com
- 3. How many hours do you spend playing games in a day? www.sudo24.com
- 4. Learning Outcomes: By the end of this lesson, you'll be able to: Understand the concept of ratios Identify and create equivalent ratios Simplify ratios Apply ratios to solve problems www.sudo24.com
- 5. 2 apples for every 5 bananas Ratios are used to compare the number of one thing to another. It's written in the form a : b, which is read as "a to b." Understanding Ratios Example: The ratio of the number of apples to the number of bananas is 2 : 5 www.sudo24.com
- 6. 2 5 2 : 5 2 : 7 Ratio as a fraction Part to whole ratio Part to part ratio We can express ratios in different forms. Different Types of Ratios www.sudo24.com
- 7. 3 8 : part part There are 3 volleyballs for every 8 basketballs. Comparing one part to another part. Part to Part Ratio www.sudo24.com
- 8. 3 8 11 : part whole 11 : part whole There are 3 volleyballs and 11 balls in total. There are 8 basketballs and 11 balls in total. Comparing one part to the whole or the total quantity. Part to Whole Ratio www.sudo24.com
- 9. 11 3 11 8 3 : 11 8 : 11 Tip: There are 3 volleyballs and 11 balls in total. There are 8 basketballs and 11 balls in total. We can also express ratios as fractions. Ratio as a Fraction The numerator shows the left side, while the denominator shows the right side. www.sudo24.com
- 10. ? ? Part to Part Part to Whole Fraction ? ? Express the ratio of oranges to lemons into different types. Checkpoint Task www.sudo24.com
- 11. 7 : 17 10 : 17 7 : 10 17 7 17 10 ANSWER KEY Part to Part Part to Whole Fraction Express the ratio of oranges to lemons into different types. Checkpoint Task www.sudo24.com
- 12. ×2 ×2 Refer to two or more ratios that have the same value. Equivalent Ratios Multiplying or dividing both parts of a ratio by the same number will result in an equivalent ratio. 1 : 3 2 : 6 = www.sudo24.com
- 13. Refer to a ratio that has been expressed in its simplest form. Simplified Ratios Dividing both parts of a ratio by a common factor will result in a simplified ratio. 5 : 10 1 : 2 5 5 5 10 = = : www.sudo24.com
- 14. If you spend 3 hours in a day playing your favorite game, what simplified ratio can you use to represent it? Try This! www.sudo24.com
- 15. 3 : 24 1 : 8 3 3 3 24 = = : The simplified ratio of 3 : 24 is 1 : 8. ANSWER KEY Try This! www.sudo24.com
- 16. Great work! Today, you learned how to: visualize and write the ratio of two given numbers simplify ratios identify equivalent ratios www.sudo24.com