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Ratios and Proportions Using ratios to compare quantities

Ratios and proportions are fundamental mathematical concepts used to compare quantities and establish relationships between them.

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Ratios and Proportions Using ratios to compare quantities

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  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 : 5 • Understanding Ratios • 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." • Example: • The ratio of the number of apples to the number of bananas is • 2 apples for every 5 bananas www.sudo24.com

  6. 2 : 5 • 2 : 7 • Different Types of Ratios • 2 • 5 • We can express ratios in different forms. • Part to part ratio • Part to • whole ratio • Ratio as a fraction www.sudo24.com

  7. Part to Part Ratio • 3 • 8 • There are 3 volleyballs for • every 8 basketballs. • Comparing one part to another part. • : • part • part www.sudo24.com

  8. Part to Whole Ratio • 3 • 8 • 11 • 11 • 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 • whole • part • whole www.sudo24.com

  9. Tip: • Ratio • as a Fraction • 3 : 11 • 8 : 11 • 3 • 8 • 11 • 11 • There are 8 basketballs and 11 balls in total. • There are 3 volleyballs and 11 balls in total. • We can also express ratios as fractions. • The numerator shows the left side, while the denominator shows the right side. www.sudo24.com

  10. ? • ? • ? • Checkpoint Task • ? • Express the ratio of oranges to lemons into different types. • Part to Part • Part to Whole • Fraction www.sudo24.com

  11. 7 : 17 • 10 : 17 • 7 : 10 • 7 • 10 • Checkpoint Task • ANSWER KEY • 17 • 17 • Express the ratio of oranges to lemons into different types. • Part to Part • Part to Whole • Fraction www.sudo24.com

  12. 1 : 3 • 2 : 6 • Equivalent Ratios • ×2 • ×2 • Refer to two or more ratios that have the same value. • = Multiplying or dividing both parts of a ratio by the same number will result in an equivalent ratio. www.sudo24.com

  13. 5 : 10 • 1 : 2 • Simplified Ratios • 5 • 10 • 5 • 5 • Refer to a ratio that has been expressed in its simplest form. • = • : Dividing both parts of a ratio by a common factor will result in a simplified ratio. • = www.sudo24.com

  14. Try This! • If you spend 3 hours in a day playing your favorite game, what simplified ratio can you use to represent it? www.sudo24.com

  15. 3 : 24 • 1 : 8 • ANSWER KEY • 3 • 24 • 3 • 3 • Try This! • = • : • = • The simplified ratio of 3 : 24 is 1 : 8. 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

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