Weekly Planning Sheet for Maths Place Value (Counting, Including Negative Numbers) Year 5 Mr Beckett WC 11.01.16 (5 Lessons) Day Mental/Oral Objective 1 Practice 4x tables Activity Using online games and clapping/quick draw games in class revise 4x tables for test on Friday Main Activity Objective Count in multiples of 6, 7, 8, 25 and 1000. Success Criteria • Have you used your number bonds to help? • Have you partitioned to help? • Chn write out the 4x table and put it in their book bags to take home and learn 2 Count up and down in hundredths. http://mathsfra me.co.uk/en/reso urces/resource/5 5/sequences_fra ctions_and_decim als Chn count up and down in hundredths in this interactive Have you drawn on your step? Activities incl. differentiation Main teaching Chn chant their 4x tables as a class. Which songs have we covered to help? Model counting on from a number not in their 6x table. How can we do this? Practice number bonds to 10 on wbs, asking short sharp questions. Why have we done this? 18 + 6 = ? First add 2 as you know your number bond, then add 4 more. Repeat for 7, 8, 25, 1000. Plenary Key questions/focus Work through the difficult ones together ensuring that everyone understands. Thumbs up if they found this easy, thumbs down if they did not understand. Self-mark the questions together. For 25’s, what could we do to make it easier? Partition. • Count backwards through zero to include negative numbers. Have you checked your answers? Explain task to the children and check understanding with thumbs CMB LA - support MA front table with setting out of work. MA Y5E HA Y5D Provide the chn with a Chn count on and back in set of sequences multiples of 6, 7, 9, and 1000 counting on in multiples from even numbers. of 6, 7, and 9 from even numbers. EXT – chn create their own questions for their partner to solve. Main teaching Show the chn a counting stick. What number is this? • Have you counted back when adding? • Have you counted forwards when taking away? What happens if it goes below zero? Ask chn to provide examples of where they have had to use negative numbers before. E.g. thermometers, lifts. Work through examples of adding and subtracting negative numbers, discussing the rules (see notes below) • Have you Discuss task and check understanding with thumbs. Work through the difficult ones together ensuring that everyone understands. Thumbs up if they found this easy, thumbs down if they did not understand. Discuss the answers with game, responding on their wbs. Teacher assess. checked your answers with a partner? CB – Support HA with placing their numbers on the number line MA Y5E Using a number line for support, chn add and subtract numbers crossing zero. 3 Count backwards through zero to include negative numbers. http://mathsfra me.co.uk/en/reso urces/resource/4 2/sequences Chn count on and back in steps of up to 12 (including negative numbers), responding on their wbs. Teacher assess. Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps. • Have you found the missing terms in the sequences? • Have you worked out the difference? • Have you checked the rule for at least 3 numbers? Repeat for counting on and back in steps of up to 50 (including negative numbers). 4 To test understanding of adding and subtracting fractions http://inteleduca tionresources.int el.co.uk/content/ primary/maths/a dd_sub_frac/ind ex.html In the back of their maths books chn complete test. To answer questions mentally in a given time • • Have you listened to the questions carefully? Have you used the correct mental strategy to answer the question? the chn. What did you do if -5 -5? HA Y5D Same as MA but place their answers on a number line. Main teaching Write the numbers 1, 3, 5, 7 ? ? ? on the board. Are they getting bigger or smaller? Is the gap between the numbers the same? How big is the gap? Chn solve the 3 missing numbers on their wbs. Sometimes sequences can be incomplete. On wbs chn try a missing number sequence. What is the rule? How will you work out the rule if two terms are not together? Work out the difference and half it. Discuss multiplication sequences and divide sequences, giving examples for the chn to work out on wbs. Explain the activity and check understanding using thumbs. CB support ERo and JWo to ensure appropriate calculation is selected MA Y5E HA Y5D Chn are given a selection of Chn are given a selection of sequences to work out the sequences to work out the missing numbers and the missing numbers and the rules for. rules for. 2 add, 3 numbers not 5 add and 5 missing together, 3 multiplications, numbers. 3 divide. EXT – work on to the 3 multiplication questions. Children indicate in their books using 1, 5, 10 scale how much they understood the lesson. Main teaching Work through the difficult ones together ensuring that everyone understands. Thumbs up if they found this easy, thumbs down if they did not understand. Explain to children that this is an assessment of their mental maths ability. Work through mental maths questions and discuss how to solve quickly and efficiently Play CD and children answer questions in the given time. Mark together going over any misconceptions. Record results Work through the trickier questions with the chn and get the chn to come and show how they worked out the answers on the board. Chn check their work to make sure they have written the rule. Work through a few more division examples with the chn. Which questions did you find tricky? Mark together. • 5 Times table test (4x) In the back of their books, chn are tested (out of order) on their knowledge of the 4x table To use and apply knowledge of counting, including negative numbers • Have you read the questions carefully? • Have you remembered what you have been taught throughout the week? • Notes NEGATIVE NUMBERS Have you used jottings to help solve instantly? Have you tried to solve the problems logically? CB – Encourage the HA group to work with jottings so that they can work it out after hearing the question the first time. Mark together and record results. Y5 D Children aim to get above 10 on the year 3 test, ensuring that during the plenary they make jottings to help them next time Consider the sequence: 6, 11, 16, 21, 26…. What statements can you make that will be true for all numbers in the sequence? Discuss with talk partner on wbs. Will 77 be highlighted? Explain your thinking. Sequence A: 3, 6, 9, 12… Sequence B: 5, 19, 15, 20 Sequence C consists of the terms that appear in both sequence A and sequence B. Give a three-digit number that will be in sequence C and explain how you know. Give some more three-digit numbers in sequence C. What do you notice about these numbers? This weather chart shows the highest and lowest temperatures in a town on five days in March. Which day has the greatest difference between the highest and the lowest temperatures? Give 5 more pairs of temperatures with the same difference. All chn solve the below problem in pairs. Upon completion, chn solve further word problems involving negative numbers Check understand using thumbs method Work through the answers with the chn, drawing upon their own responses and opinions. What should Harry have done with his money instead? Pose some of the assessment questions from the Lancashire documents to the class to check understanding -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 ADDING NEGATIVE NUMBERS: EXAMPLES: 4 + (-5) START AT POINT 4 AND COUNT BACK 5 PLACES = -1 RULE: 4 + (-5) 4 – 5 = -5 + 4, START AT -5 AND COUNT ON 4 PLACES = -1 -4 + (-5) START AT POINT -4 AND COUNT BACK 5 PLACES = -9 -4 - 5 = SINCE THEY HAVE THE SAME SIGN, ADD THEM TOGETHER AND PUT THE MINUS SIGN IN FRONT OF THE ANSWER. TAKING AWAY NEGATIVE NUMBERS: EXAMPLES; 4 - (-5) WHEN TAKING AWAY NEGATIVE NUMBERS, GO IN THE OPPOSITE DIRECTION OF ADDING THEM RULE: 4 - (-5) 4 + 5 = 9 START AT 4 AND COUNT ON 5 = 9 -4 - (-5) START AT -4 AND COUNT ON 5 = 1
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