1 / 36

Mathematics Workshop KS2, Years 3-6

Mathematics Workshop KS2, Years 3-6. Helping your child with Maths calculations. Think back to the Maths you were taught at primary school. In what situations do you use this Maths now?. Shopping – estimating if you have enough money Finding 25% off in a sale

quito
Download Presentation

Mathematics Workshop KS2, Years 3-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mathematics WorkshopKS2, Years 3-6 Helping your child with Maths calculations

  2. Think back to the Maths you were taught at primary school. In what situations do you use this Maths now?

  3. Shopping – estimating if you have enough money • Finding 25% off in a sale • Splitting the bill in a restaurant • Measuring for fitting at home • Cooking – times and temperatures • Timing journeys • Changing currency

  4. 1999 A new approach to teaching Mathematics • Strong emphasis placed on mental strategies and a real understanding of numbers 2006 Another change to the Maths curriculum! • Continuing to focus on mental strategies, but more emphasis on using and applying Maths in real life situations

  5. A short video clip…

  6. From Year 3 to Year 6 1. Can I do this in my head? 2. Could I use drawings or informal jottings to help me? 3. Do I need to use a formal written method? 4. Should I use a calculator? } Earlier steps Later steps

  7. ADDITIONHow would you calculate these? 256 + 627 = 53523 +2346 =

  8. Place Value • Base ten equipment • Arrow cards • Place value grids • Numicon

  9. ADDITION – EARLY STEPS 1. Partitioning: E.g. 256 + 627 = Hundreds: 200 + 600 = 800 Tens: 50 + 20 = 70 Units: 6 + 7 = 13 800 + 70 + 13 = 883

  10. ADDITION – EARLY STEPS 2. Empty number lines: E.g 38 + 86 Remember to always begin with the largest number

  11. ADDITION – LATER STEPS 2. Column addition: E.g. 53523 + 2346 = 53523 53523 2346 + 2346 + Units 9 55869 Tens 60 Hundreds 800 Thousands 5000 Ten thousands 50000 Total 55869 Ensure the place value is correct i.e. T H T U

  12. Final steps: Can weAPPLY these addition skills? Fred went to Bahrain to see the Grand Prix. He had AED6500 for the trip. It cost him AED480 for his ticket, AED2136 to stay 2 nights at a hotel, AED3449 for his flight and AED240 for food. Did he have enough money? The exact same method is used when adding decimals . Just ensure that the decimal stays in the same place in the question and answer.

  13. He had AED6500, he spent AED6305 so yes, he had enough money! 1 2 1 480 2136 3449 240 6305

  14. SUBTRACTIONHow would you calculate these? 873 - 791 = 8456 - 3938=

  15. Do you remember doing this calculation at school? 800 -699 Think back to those questions… 1. Can I do this in my head? 2. Could I use drawings or informal jottings to help me? 3. Do I need to use a formal written method? 4. Should I use a calculator?

  16. SUBTRACTION – EARLY STEPS 1. Using an empty number line: E.g. 86 – 28 = (Counting BACKWARDS) 66 60 86 58 -6 - 20 -2 86 – 28 = 58

  17. SUBTRACTION – EARLY STEPS 2. Using an empty number line: E.g. 93 – 71 = (Counting FORWARDS from the smaller number to the bigger because the numbers are close together) + 9 + 10 +3 71 80 90 93 9 + 10 + 3 = 22

  18. SUBTRACTION – LATER STEPS 3. Column subtraction WITHOUT compensation e.g. 837 – 425 = 800 + 30 + 7 - 400+ 20 + 5 400 + 10 + 2 = 412 837 425 - 412

  19. SUBTRACTION – LATER STEPS 2. Column subtraction WITH compensation e.g. 8456 – 3938 = 7000 1 40 1 8000 + 400 + 50 + 6 - 3000+ 900 + 30 + 8 4000 + 500 + 10 + 8 = 4518 7 1 4 1 8456 3938 - 4518

  20. Applying our subtracting skills… £6.50 £9.65 £1.25 £2.80 I head to the sports shop with £20.00. I buy a cricket bat and a cricket ball. How Much change do I get?

  21. Step 1Step 2 1 £ 9.65 £20.00 - £10.90 £ 1.25 + = £9.10 £ 10.90

  22. MULTIPLICATION AND DIVISION • Importance of knowing times tables • By the end of Year 3: 2x, 3x, 4x, 5x and 10x • Years 4-6 should know all times tables THEN… • Division facts E.g. if 5 x 7 = 35 then 35 ÷ 7 = 5

  23. Multiplying and dividing by 10 27 ÷ 10 = 2.7 5.9 x 10 = 59 368 ÷ 10 = 36.8

  24. MULTIPLICATION – EARLY STEPS • Use known facts: • Use your times tables: E.g. 15 x 7 = (10 x 7) + (5 x 7) = • Use your doubling skills: E.g. 35 x 4 = 35 x 2 = 70 70 x 2 = 140

  25. MULTIPLICATION – EARLY STEPS 2. Grid Method E.g. 346 x 9 2700 + 360 + 54 3114 1 1

  26. MULTIPLICATION – LATER STEPS 3. Column method: e.g. 72 x 38 1 72 x 38 576 + 2160 2736 1 72 x 38 16 8 x 2 560 8 x 70 60 30 x 2 + 210030 x 70 2736 1

  27. Applying your multiplication… 1. 27 children pay AED 55 for a school trip to the planetarium. How much money is paid in total? 2. AED 10 was to pay to the bus company and the rest was to pay to the Planetarium. How much money did the planetarium take in total?

  28. PART 2 10 x 27 = 270 for the buses 1485 – 270 = AED 1215 for the planetarium in total 27 x 55 1000 + 100 + 350 + 35 = AED 1485 in total

  29. DIVISION – FIRST STEPS SHARING AND GROUPING 12 ÷ 3 12 sweets shared between 3 children – they get 4 each 12 ÷ 3 Sort the counters into groups of 3 – there are 4 groups

  30. DIVISION – FIRST STEPS DIVISION AS THE OPPOSITE OF TIMES TABLES 24 ÷ 4 = 6 BECAUSE 6 X 4 = 24

  31. DIVISION – EARLY STEPS, CHUNKING 196 ÷ 6 196 - 180 (30x 6) 16 - 12 (2x 6) 4 Answer: 32 remainder 4 or 32 r 4 196 60 (10 x 6) 136 60 (10 x 6) 76 60 (10 x 6) 16 12 (2 x 6) 4

  32. DIVISION – MUCH LATER STEPS 365 ÷ 15 = 24 r5 2 4 r5 15 365 3 0 6 5 6 0 5 Finally: 24 r5 6 15 365

  33. Apply these division skills… A netball team is made up of 7 players. If 212 children turn up to a netball tournament, how many full teams could you make?

  34. How many teams?212 ÷ 7 = 212 70 (10 x 7) 142 70(10 x 7) 72 70(10 x 7) 2 So you can make 30 full teams. There will be 2 players left over.

  35. Is my answer sensible? 1. Estimate the answer - can they round up the numbers to come up with a rough answer? E.g. 47 x 2 = Estimate: 50 x 2 = 100 Once you have calculated the answer ask yourself, “Is it close to the estimate?” 2. Check the answer using the inverse - E.g. 47 x 2 = 94 so 94 ÷ 2 = 47.

  36. What now? • www.gemslearninggateway.com – - Notes from today - ‘Helping you to help your child with Maths booklet’ - Calculation booklets with these methods explained in detail - Useful websites - Mental Maths passports • Juliette.s_JPS@gemsedu.com

More Related