Lesson Plan - Fractions, Decimal, Percentages APP Objectives Pupils to assess their understanding of fractions, decimals and percentages. Key Words: Reflect, Assess, Explain, Communicate Mental and Oral Starter Ask pupils to complete the key words table. Main Pupils to work independently through the assessment task. Pupils can choose whether to start on level 3, 4, 5 or 6 but they should not start on level 7. Remind pupils that they must show all their working out fully. Pupils should not discuss the task with one another but they can look back through their books to remind themselves of some of the methods they have learnt recently. Plenary Ask pupils to look at their assessment sheet. Tell pupils that they must complete the ‘Tips / Hints’ box by explaining in their own words the maths they did today. Ask them to also describe any help that they had. Remind pupils that you will be marking their work and completing the ‘my teacher’s’ boxes. Remind students that next lesson for the starter activity they must come in and look for the question you have set and respond either by answering it or by explaining why the question is too hard for them to answer.

Probing Questions Level 3 Level 4 Recognise proportions of a whole and use simple fractions and percentages to describe these. Order decimals to 3 decimal places. What fractions can you easily work out in your head? Talk me through a couple of examples. What do you look for first when you are ordering numbers with decimals? Give me a number between 0.12 and 0.17. Which of the two numbers is it closer to? How do you know? Level 5 Find Equivalent fractions. Reduce a fraction to its simplest form by cancelling common factors Order decimals.  Calculate simple fractions of a number/quantity e.g. ⅜ of 40g Give me two equivalent fractions. How do you know they are equivalent?  Give me some fractions that are equivalent to … How did you do it? How do you know when you have the simplest form of a fraction? How do you decide when to use a calculator, rather than a mental or written method, when finding fractions of quantities? Give me some examples. Level 6 Use the equivalence of fractions, decimals and percentages to compare proportions.  How would you go about finding the decimal and percentage equivalents of any fraction?  How would you find out which of these is closest to 1/3: 10/31; 20/61; 30/91; 50/151?  Give me a fraction between 1/3 and 1/2. How did you do it? Which is it closer to? How do you know? Level 7 Understand the equivalence between recurring decimals and fractions. Write some fractions which terminate when converted to a decimal. What do you notice about these fractions? What clues do you look for when deciding if a fraction terminates?  1/3 is a recurring decimal. What other fractions related to one-third will also be recurring?

LO To assess your understanding of Fractions, Decimals and Percentages RAG Reflect, Assess, Explain, Communicate 24-Apr-17 Starter Activity Look back at your never heard the word grid. Are there any key words which you now know the meaning of which you didn’t know before. Write down their meanings in your ‘Heard the Word’ table. 3

Key Words Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context. Jot down your ideas here... Fraction Numerator Denominator Equivalent Lowest Terms Percentage

Key Words Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context. Jot down your ideas here... Fraction Numerator Denominator Equivalent Lowest Terms Percentage

Task Level 3 Write down the fraction of each diagram that is shaded in. Level 4 Task Choose two of these diagrams and write down two equivalent fractions for each one. Level 4 Question Which is bigger ¼ of 28 or ⅕ of 30? Explain how you know. Level 5 Task Which of these fractions can be cancelled down? Write each one in its lowest terms. Explain how you can tell that the other fractions can’t be cancelled down? Level 5 Question Which is bigger ⅜ of 48 or ⅘ of 25? Explain how you know. Level 6 Task Choose three fractions and convert them into percentages and decimals without using a calculator, explain how you did it. Choose three different fractions and use a calculator to convert them into percentages and decimals. Put the six fractions in order from smallest to biggest. Level 7 Task Explain how you can tell whether a fraction is a terminating decimal or a recurring decimal.

Tips / Hints ...... level Fractions 7 I understand the equivalence between recurring decimals and fractions. 6 I can change fractions to decimals and percentages and order them from biggest to smallest. 5 I can cancel down a fraction to its simplest form. I can calculate simple fractions of an amount e.g. ⅜ of 40g 4 I can use an equivalent fraction to shade in a given fraction on a diagram. 3 I can shade in fractions on a diagram that has been divided into the right number of parts.

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