Year 4

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

1Think 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 moneyFinding 25% off in a saleSplitting the bill in a restaurantMeasuring for fitting at homeCooking times and temperaturesTiming journeysChanging currency

1999 A new approach to teaching Mathematics

Strong emphasis placed on mental strategies and a real understanding of numbers

2006Another change to the Maths curriculum!

Continuing to focus on mental strategies, but more emphasis on using and applying Maths in real life situations

A short video clipFrom Year 3 to Year 61. 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 stepsADDITIONHow would you calculate these? 256 + 627 =53523 +2346 =Place ValueBase ten equipmentArrow cardsPlace value gridsNumicon

ADDITION EARLY STEPS1. Partitioning: E.g. 256 + 627 =Hundreds: 200 + 600 = 800Tens: 50 + 20 = 70Units:6 + 7 = 13800 + 70 + 13 = 883

2. Empty number lines: E.g 38 + 86

ADDITION EARLY STEPSRemember to always begin with the largest numberADDITION LATER STEPS2. Column addition: E.g. 53523 + 2346 = 5352353523 2346 + 2346 +Units 9 55869Tens 60Hundreds 800Thousands 5000Ten thousands 50000 Total 55869

Ensure the place value is correct i.e.T H T UFinal 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, AED3449The exact same method is used when adding decimals . Just ensure that the decimal stays in the same place in the question and answer.for his flight and AED240 for food. Did he have enough money? 1 2 1 48021363449 240

6305

He had AED6500, he spent AED6305 so yes, he had enough money!

SUBTRACTIONHow would you calculate these? 873 - 791 = 8456 - 3938=Do you remember doing this calculation at school? 800-699 Think back to those questions1. 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?1. Using an empty number line: E.g. 86 28 = (Counting BACKWARDS)

86666058- 20-6-2SUBTRACTION EARLY STEPS86 28 = 58SUBTRACTION EARLY STEPS2. 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 90 939 + 10 + 3 = 22SUBTRACTION LATER STEPS3. Column subtraction WITHOUT compensation e.g. 837 425 =

800 + 30 + 7- 400 + 20 + 5 400 + 10 + 2 = 412 837 425 -41218SUBTRACTION LATER STEPS2. Column subtraction WITH compensation e.g. 8456 3938 =

7000 1 40 18000 + 400 + 50 + 6 - 3000 + 900 + 30 + 8

4000 + 500 + 10 + 8 = 4518 7 1 4 18456 3938 -

451819Applying our subtracting skills

2.809.651.256.50I head to the sports shop with 20.00. I buy a cricket bat and a cricket ball. How Much change do I get? Step 1Step 2 1 9.65 20.00 - 10.90 1.25 += 9.10 10.90

MULTIPLICATION AND DIVISIONImportance of knowing times tables By the end of Year 3: 2x, 3x, 4x, 5x and 10xYears 4-6 should know all times tablesTHENDivision facts E.g. if 5 x 7 = 35 then 35 7 = 522Multiplying and dividing by 10ThousandsHundredsTensUnits.1/10 tenths1/100 hundredths27.5.9368.27 10 = 2.7

5.9 x 10 = 59

368 10 = 36.8MULTIPLICATION EARLY STEPSUse 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 = 140MULTIPLICATION EARLY STEPS2. Grid Method E.g. 346 x 9x93002700403606542700 + 360 + 54 3114 1 125 72 x 38 16 8 x 2 560 8 x 70 60 30 x 2 + 2100 30 x 70 2736 13. Column method: e.g. 72 x 38MULTIPLICATION LATER STEPS 1 72 x 38 576 + 2160 2736 1 Applying your multiplication1. 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?

27 x 55

1000 + 100 + 350 + 35 = AED 1485 in total

x207501000350510035PART 2

10 x 27 = 270 for the buses

1485 270 = AED 1215 for the planetarium in total12 3

Sort the counters into groups of 3 there are 4 groupsDIVISION FIRST STEPS SHARING AND GROUPING12 3 12 sweets shared between 3 children they get 4 each

2924 4 = 6 BECAUSE 6 X 4 = 24DIVISION FIRST STEPS DIVISION AS THE OPPOSITE OF TIMES TABLES

DIVISION EARLY STEPS, CHUNKING196 6

196 - 180 (30 x 6) 16 - 12 (2 x 6) 4Answer: 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) 431365 15 = 24 r5 2 4 r5 15 365 3 0 6 5 6 0 5 DIVISION MUCH LATER STEPSFinally:

24 r5 615 365Apply these division skillsA netball team is made up of 7 players. If 212 children turn up to a netball tournament, how many full teams could you make?

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.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 = 100Once 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.

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