MATHS Planning. Year 5 and 6 (HA GROUP) Objective Mental Oral Starter Objective Know by heart facts for all multiplication tables up to 12 x 12.focus of this week is the 9x table. http://www.strike.lancsngfl.ac.uk/dow • Compare and order fractions, including fractions >1 (including on a number line). nload/file/Willow%20Class/Maths/IT Ps/Hit_the_button_v10.swf Hit the button – as a class we play hit the button children take it in turns to match the questions of the 9x table to the answers in the 9x table. Mon There will be a mixture of hit the Date: 09/11/15 Success Criteria Steps to Success Children respond to their marking Children can identify fractions. Children can order fractions. button and hit the answer. To test application of knowledge. Main Activity Plenary Children today will be ordering fractions which are both mixed number and smaller than one. Ask the children what a fraction is? Why do we use them and how do they match to percentages and decimals? Show the children ½ and ¼ and ask them the biggest how do they know? How do we order different fractions? 5/6 and 3/8? ( rules of common denominators). http://www.primaryresources.co.uk/maths/mathsB6.htm - slideshow to help with process. Mr Saban to work with children who are struggling with the task of ordering fractions. Monitor focus of key identified children from last week. How can we order fractions? How do fractions relate to decimals and percentages? Year 6 Compare and order fractions, including fractions > 1 (including on a number line). Task will be to order fractions of different sizes and explain how we can order fractions when they have different denominators. Children will be working in their books and ordering fractions from a given list of fraction numbers. How can they adapt the denominator to aid in the ordering process? Show the children groups of three fractions and ask them to order them on their whiteboards. How did they know which one was the biggest? Tues LA/MA to start by ordering fractions with same denominator. HA to order fractions that first needs converting to common amounts. • Recall and use addition and subtraction facts for 1 (with decimal numbers to two decimal places). Give the children a decimal number on the IWB and ask them how we can make 1 start with the basics 0.5, 0.25 and 0.75 and then move on to more complex decimal numbers for the HA. Children will answer questions on whiteboards and will display their answers to the class. • Add and subtract fractions with different denominat ors and mixed numbers, using the concept of equivalent fractions. Steps to Success Children How can you add ½ AND ¼? How do we know this? What have we done to add them + we know that a quarter is 12/ of a half or ½ can be 2/4’s ask the children if this would work for 3/36 and 2/72 which would be the bigger fraction? And why would this be the case. respond to their marking. Children can add and take If we need to add fractions what would be a logical step? Making sure that all fractions are converted to the same denominator. Would this have to be the case for subtracting decimals? Mr Saban to work around all the groups today helping with misconceptions based on changing denominators and adding/ subtracting fractions. Work through the answers of the activities from today’s lessons. What are the rules od adding or subtracting fractions? Times the numerator and the denominator by the same number if converting to common fractions. away fractions Year 6 Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. Children can find and create equivalent fractions. Children can multiply by 10. 100 and 1000. • Mentally multiply and divide pairs of multiples of 10 and 100. Today’s MM is in response to perceived need for refreshing of multiplication by 10 and 100 and 1000 which arose with decimals in last week’s times table test. Children will be given a selection of decimal numbers and on their Wed whiteboards will have to multiply the numbers by selected figure based on the instruction. • Associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. ). Steps to Success Children respond to their marking. Children can link fractions to their Both groups in addition to add mixed number fractions also (this will be starting activity before common denominator work). LA and MA to add up to 4 fractions and to focus specifically on addition of fractions to avoid potential difficulties with mixed operations. HA group to work on a selection of adding and subtracting fractions and also to add a series of fractions together which create an addition sentence. Show the children a range of decimals and fractions – can the children match the fractions with the decimals. Why are decimals and fractions sometimes an indication of division? Decimal to Fraction. For another example, convert 0.625 to a fraction. Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8. Mr Saban to work with the children who will be struggling with the concept of division and therefore fraction links to decimals work with identifie d children on mathematical presentation. Year 6 Associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375 and ). equivalent e.g 1.3 x 1000 3.45 x 100 decimals. Children to match the cards – fractions and decimals and use the calculation method ( 1dp by 10, 2 dp by 100 and 3dp by 1000) shown above to work out which decimal matches which fraction – broaden the scope beyond simple fraction decimal conversion e.g. 0.25 = ¼ LA/ MA matching cards 1 and 2dp HA calculating matches up to three decimal places. As a class work through two additional fraction calculations. 1 addition (multiple numbers and one subtraction (maximum 3 fractions). This in addition to collective marking will allow the children to see their progress and comment on their difficulties. What are decimal fractions? How are decimals and fractions linked to division Match the cards and the equivalent fraction with decimals ask the children to explain their method how did they know to x by 10, 100 or 1000 ( based on decimal places) What are the difficulties with cancelling down? Children can identify numbers in the 12 x table. Focus of this week is the 9x table. http://www.strike.lancsngfl.ac.uk/dow nload/file/Willow%20Class/Maths/IT Ps/Hit_the_button_v10.swf Hit the button – as a class we play hit the button children take it in turns to match the questions of the 9x table to Perform mental calculations, including with mixed operations and large numbers and decimals. the answers in the 9x table. Steps to Success Children respond to their marking. Children can find missing There will be a mixture of hit the angles in button and hit the answer. To test shapes. application of knowledge. Thurs Children can Explain to the children that we are going to answer a mental maths test today. What will they have to remember when answering the questions? Make jottings if needed, listen to the questions carefully, ensure we apply or mental maths strategies. FG: Mr Saban – to ask the children a range of questions (20) based on a range of different mathematical concepts and areas. Also to be explain the ideas during the plenary and asking the children to explain their methodology. As a class we look through the questions and discuss the methods behind the answering of the questions. Children share their knowledge with each other. NC to work with her Maths intervention group. Which questions did you find difficult and why? Year 6 Perform mental calculations, including with mixed operations and large numbers. answer a range of calculations using mental strategies. Children can multiply and How did you answer the questions? How could you explain your methods to others? All children to answer 20 questions based on a series of mathematical concepts. Children will work independently and use a range of mental strategies. At the end of the test (after marking and scoring) the children will share their answers and explain the methods they used to answer questions successfully. divide numbers Fri mentally. 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