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Dr Fog Presents

Learn how to compare fractions using three different methods: number line, same denominator, and decimal conversion. Practice and check your answers using interactive calculators. Suitable for Year 7 students.

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Dr Fog Presents

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  1. Which fraction is bigger? Dr Fog Presents Year 7 (National Numeracy Strategy) (Based on DFEE Sample Lessons) www.DrFog.co.uk

  2. Resources • Demonstration calculator • Calculators.

  3. Mental Learning Objective • I know every fraction can be seen as a division.

  4. Mental Learning Task • Here are three pizzas. • There are four children. • How much will each get if they are shared equally?

  5. Mental Learning Task • Three pizzas shared among 4 children is • 3 divided by 4. • This means each gets ¾ of a pizza. • 34 is the same as writing ¾.

  6. Mental Learning Task Every fraction can be seen as a division.

  7. Mental Learning Objective • I know every fraction can be seen as a division.

  8. Main Learning Objective • I can compare fractions using a number line. • I can compare fractions by giving them the same denominator. • I can compare fractions by converting them to decimals.

  9. Key idea I know there are three ways of comparing a fraction.

  10. Main Learning Task 5 6 • Which of these fractions is bigger? • How do you know? 7 8

  11. Main Learning Task • You could • Make both fractions to 1 and compare these differences. • Use equivalent fractions, using the same denominator. • Think of each fraction as a division and use a calculator to find their decimals equivalents.

  12. Main Learning Task • We will look at each of these methods in turn. • If we know more than one method, we can use one to solve a question. • We can then use another method to check the answer,

  13. 5 6 1 7 8 1 Main Learning Task • The first method uses an empty line.

  14. 5 6 1 7 8 1 Main Learning Task • How large is each step to 1?

  15. 5 6 1 7 8 1 Main Learning Task 1 6 • Which one is closer to 1? 1 8

  16. 5 6 1 Main Learning Task 1 6 • Which one is closer to 1? 7 8 1 8 • As 1/8 is smaller than 1/6, we know 7/8 is bigger than 5/6 as it is closer to 1.

  17. Main Learning Task • The second method requires more explanation. • You need to find whether 5/6 or 7/8 is bigger and one way is to turn them into fractions with the same denominator.

  18. Main Learning Task • For the denominator, you need to find a number that 6 and 8 will both go into exactly.

  19. Main Learning Task • List the multiples of 6 and 8 until there is at least one number that features in both sets…

  20. Main Learning Task • What is the smallest number in both sets of numbers?

  21. Main Learning Task • We now need to turn both fractions into their equivalents with 24 as a denominator.

  22. 5 6 __ 24 7 8 __ 24 Main Learning Task • Find the equivalent fractions. • Show the workings on the board.

  23. Main Learning Task • Which fraction was bigger? 5 6 __ 24 7 8 __ 24

  24. Main Learning Task • The third method requires either a class size calculator or the teacher to click Start button in windows • Programs • Accessories • Calculator.

  25. Main Learning Task • I am going to think of each fraction as a division and use a calculator to find the difference.

  26. Main Learning Task • 5/6 is the same as 5 divided by 6… which is what? • 7/8 is the same as 7 divided by 8… which is what? • Which is bigger? • How do you know?

  27. Main Learning Task • Choose a pair of fractions and find which of the two are larger. • You may choose any method you want. • Do try the new methods. • Check your reasoning by using a different method

  28. Main Learning Task • How many can you do before the end of the lesson? 2 or 3 3 4 1 or 3 4 8 4 or 5 9 8

  29. Main Learning Objective • I can compare fractions using a number line. • I can compare fractions by giving them the same denominator. • I can compare fractions by converting them to decimals.

  30. Plenary • What have you found today? • Which method did you use? • What were the answers?

  31. Review of Key Idea • I know there are three ways of comparing a fraction. • Did you learn this today?

  32. Where Can I Find More Resources Like This? • You can now visit my teaching resource website at http://www.DrFog.co.uk • You can click here to search for more of my teaching resources. • Click here to visit my TES shop!

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