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Understanding ratio

Learn how to express one quantity as a fraction of another, identify and work with fractions in ratio problems, and use ratio notation including reduction to simplest form.

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Understanding ratio

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  1. Understanding ratio Today we are learning how to: Express one quantity as a fraction of another Identify and work with fractions in ratio problems Use ratio notation, including reduction to simplest form

  2. For the starter: A factor is a number that goes into 2 or more numbers without any remainder. For example, the factors of 16 are 1, 2, 4, 8, 16. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The highest common factor is 8 as it is common to both 16 and 24. WHAT YOU NEED TO KNOW

  3. STARTER DRILL

  4. STARTER DRILL

  5. RATIO

  6. Ratio Which of the following statements relate to the following diagram and why? 5/12 2:5 2/5 12/5 1/6 Write down anything else that is relevant.

  7. MAKE YOU THINK! Here are two statements that describe the same diagram. How are the ratio and the fraction different? Fraction 8/16, 2/16, 6/16 Ratio 8 : 2 : 6 What is missing from each to strengthen your understanding of what they represent?

  8. MAKE IT HARDER! Red : Yellow : White 6 : 2 : 4 How are these related? What could the 2nd ratio be?

  9. WHAT DO YOU NOTICE? Red : Yellow : White 6 : 2 : 4 24 : 8 : 16 In how many different ways could this be represented?

  10. Summary A ratio is a way of comparing 2 or more quantities. Ratios can be scaled or simplified by using a single factor/multiplier for all terms in the ratio. A fraction is a way of representing proportion (i.e. a number to a total). Fractions can be simplified by using a single factor/multiplier for both the numerator and denominator.

  11. SCAFFOLDING Simplify the following ratio: 6 : 2 3 : ?

  12. SCAFFOLDING Simplify the following ratio: 24 : 30 ? : 5

  13. SCAFFOLDING Simplify the following ratio: 35 : 49 ? : ?

  14. SCAFFOLDING Simplify the following ratio: 5 : 10 : 20 ? : ? : ?

  15. SCAFFOLDING Simplify the following ratio: 4 : 12 : 8 ? : ? : ?

  16. SCAFFOLDING Simplify the following into the form 1:m 4 : 12 ? : ?

  17. SCAFFOLDING Simplify the following into the form n:1 35 : 5 ? : ?

  18. DO NOW ACTIVITY

  19. DO NOW ACTIVITY Answers:

  20. We know there is 1cm:10mm. What about: 4cm = ? ?cm = 80mm ?cm = 54mm We know there is 100cm:1m. What about: 400cm = ? 8m = ?cm 4cm = ?m We know there is 1 inch:2.5cm. What about: 5cm = ?inch 8inch = ?mm ?cm = ?inch Make your own

  21. Summary 95% 8/10 2:3 £3.50 3:4:6 £2.10 10% 2/3 3/4 1:2:5:7 50p 2:5 1:4 £0.80 4/8 33% Which of the following are ratios? What do all of them have in common?

  22. Summary In how many different ways could you show that the following ratios are the same? 12 : 20 3 : 5 Clue: Multiplier between the two numbers.

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