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Education Game. Support One Goal. You choose:. Maths . English. Maths. Addition. Subtraction. Multiplication. Division . Click to go back to main menu. Addition. Numberline. Open Columns. Partitioning. Compensation. Click to go back to main menu. Number line. options.
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Education Game Support One Goal
You choose: Maths English
Maths Addition Subtraction Multiplication Division Click to go back to main menu
Addition Numberline Open Columns Partitioning Compensation Click to go back to main menu
Number line options Skills you need to know for this method. You need to be good at addition. You need to choose numbers you feel comfortable with. Red=70+15 using number line • Explanation • This is a number line method. • First you write the sum you are doing. • Next you draw a neat ruler line. • Then at the start of the number line you write the biggest number in your sum. • You partition the smallest number in your sum so it is easier to add. • Finally you do jumps of which ever number you feel comfortable with. Amber=66+43 using number line Green=227+336 using number line Choose an activity. Your smallest number is 32 so you partition 30 in to 3 tens and 2 in to 2 units. +10 +10 +10 +2 86 54 54+32=86 This is your addition sum. • Click to go back to menu
Open vertical method • First write your calculation. • Next write H.T.U. • Then you complete you addition. • First add the Units, then the Tens, then the Hundreds. • You will do H.T.U as long as you go down. • Finally add all of the digits in each column to find your total. Rag activates. R 85 + 325 = A 600 + 360 = G7000 + 2423 = Why don’t you try one of these. • 150 +235 =385 H T U 1 5 0 2 3 5 0 0 5 U 0 8 0 T 3 0 0 H 3 8 5 2. 185 + 300 =485 H T U 1 8 5 3 0 0 0 0 5 U 0 8 0 T 4 0 0 H 4 8 5 Click to go back to menu
Step by step partitioning • Write a addition sum. • Partition the smallest number that you have into hundreds, tens and units etc. For example 88+31=? Partition the number 31 to 30 and 1. • Then you do 88+30=118 because we partition the number 31 to 30 and 1. • Then you add 1 to your answer which was 118. • 118+1=119 because I got the 1from the 31. • That's how we get the answer. Red:60+35=? Amber:130+390=? Green:254+3105=? Example 450+163=613 100 60 3 450+100=550 550+60=610 610+3=613 • Click to go back to menu
Compensation.Addition.54+49= Compensation helps you get the answer quickly by adding easier numbers together. • Step 1 write your sum which is 54+49. • Step 2 round the smallest number to 50. 49 50. • Step 3 do 54+50=104 • Step 4 take away 1 unit from the answer that you got which was 104-1=103 Click to go back to menu Red – 28+19= Amber - 42+39= Green – 133+59= Your answer should be 103.
Subtraction Numberline Partitioning Difference Counting On Click to go back to main menu
Red13-8= Amber48-19= Green81-36= • First you draw a line. • Then you put the smallest number at the beginning of the line and the biggest number at the end. • Next you have to use the opposite operation which is addition. If you add 4 to 16 you will get 20 which is a multiple of 10.Multiples of 10 are very easy to work with. • Then you add 9 to 20 because we want to get to 29 and when you add 9 to 20 that will equal 29. • Finally you add the jumps which are 9 and 4 this equals 13 and that is the answer. 29-16=13 Subtraction number line +4 +9 16 20 29 • Click to go back to menu
Subtraction. Difference. 78-56= After that you add 8 units because the number that we are trying to get to is 78 so we are at 70 and we need to add 8 more units to get to 78. H T U 56 60 + 0 0 4 60 70 + 0 1 0 70 78 + 0 0 8 Finally you add the H T U together because then you will get your answer. H T U 56 60 + 0 0 4 60 70 + 0 1 0 70 78 + 0 0 8 0 1 2 U 0 1 0 T 0 2 2 Your answer should be 22. • First start with the smallest number. Work out how many units needs to be added to this number to get it to the nearest multiple of 10 when counting upwards. 56 60 = 4. • Next write the number you added (4) on to 56 to get to 60 in the correct column on a place value chart. H T U 56 60 + 0 0 4 • Then you work out how many tens you need to add to get to the multiple of 10 closest to the larger number. H T U 56 60 + 0 0 4 60 70 + 0 1 0 Click to go back to menu
Subtraction.Partitioning. • First you partition the smallest number into units, tens, hundreds (etc.) • Then with the biggest number you take away the tens from it. • Finally with the answer you’ve got, take away the units from it. The answer you should have is 25. Example: 68-43=25 40 3 68-40=28 28-3=25 R 53-32=? A 68-106=? G 346-378=? • Click to go back to menu
Subtraction Counting on is an efficient strategy when subtracting 2 numbers that are close together. For example: 1002-997= In this example you have to round up the smallest number which is 997 to 1000 (Add 3). After that you have to count on from 1000 to 1002 (Add 2). Finally you add 3 and 2 together which gives you your answer 5. Counting on. Red=32-28= Amber=173-167= Green=3562-3554= Click to go back to menu.
Multiplication Times table facts Partitioning Compensation Grid method Click to go back to main menu
Practice question 5x4= 1x0= 1x1= 1x2= 1x3= 1x4= 1x5= 1x6= 1x7= 1x8= 1x9= 1x10= 3x5=… … … … … 3x6=… … … … … … 3x7=… … … …… … … Your times tables facts will really help you know your times tables. Timestablesfacts If you know how to double you can use your 3 times tables to find your 6 times tables and you can use your 2times tables to find your 4 times tables. • The order to learn your times tables in. • 1x • 2x • 5x • 10x • 3x • 4x • 6x • 8x • 9x • 7x 2x0= 2x1= 2x2= 2x3= 2x4= 2x5= 2x6= 2x7= 2x8= 2x9= 2x10= 3x0= 3x1= 3x2= 3x3= 4x3= 5x3= 6x3= 7x3= 8x3= 9x3= 10x3 Knowing your times tables facts let you answer multiplication problems easily. You can use your time tables facts to solve really hard problems. RAG activities • Red • 1. 10x5= • 2. 5x5= • 3. 4x2= • Green • 8x9= • 9x7= • 8x6= • Click to go to menu
Partitioning Reded. Amber. Green. Red is if you want an easy sum. Amber is if you want to challenge your self. • First you partition the number that you do not know times tables facts for. • Next you complete the separate calculations. • Then add up the separate totals and you will get your answer. Green is if you really want to push your self. R,6x4= A,7x8= G,18x7= Example: Have a go… 9X6=54 7x8=? ?x?= ?x?= 5 4 ?+?= 5x6=30 4x6=24 30+24=54 ? ? • Click to go to menu
This helps you with your 9 x table Step By Step • Write your calculation. E.G 6 x 9 = 135 x 9= 135 x 10 = Compensation • First change the 9 into a 10 because it’s easier to multiply by 10. Example : 79 x 9 = 711 79 x 10 = 790 790 – 79 =711 81 x 9 = 81 x 10 = • Then do 6 x 10 = 60 because you changed 9 to 10. • After that do 60 – 6 = 54 because you added an extra 6. 63 x 9 = 63 x 10 = • And there’s your answer. • Click to go to menu
Grid method 1. Draw thegrid. • Step by step • 1] First draw a Grid. • 2] Then draw an • X in the left hand • Corner. • 3] Next partition 29x19= 551 • 29 into 20 and 9 • and 19 into 10 200+180=380 • and 9. 90+81=171 • 4]Then place them 171+380=551 • Into the grid on the x 20 9 • top and the left hand side. • 5]Then times 10 by 20 10 200 90 • which equals 200.Then do • 9x10=90 then 20x9=180 • then 9x9=81. 9 180 81 • Finally add 200,90,180 and 81 2. Draw an x in the left hand corner. xx x 3. Partition 29 into 20 and 9 10 9 • Click to go to menu
Division Chunking Method Division facts Numberline Click to go back to main menu
Step by step instructions: • (Ignore the 6 above 36 for now). • 1) If your sum was 36 divided by 6 then this would be how you lay it out: • The number that you are dividing by goes on the • left hand side of the box. • Then you will put the number that you are dividing here. • 2)We will have to use our multiplication knowledge to find out how many groups of 6 are in 36. • 3)To make it easier we will do 6x3 because if you know your multiplication facts the answer is 18 which is less than 36.(While using the chunking method, you cannot go over the number you are dividing). Chunking method • 4)Now we shall find the difference between 36 and 18 which is 18. • But we still haven’t got our answer yet, so we will do 6x3 again. • 5)Now we have to find the difference between 18 and 18 which is 0. • 6)Now we need to add up the numbers that we have • multiplied 6 by,(3 and 3) which equals 6. • Our answer is 6 so write it at the top! 6 6 36 • 6x3 • 18 • 6x3 • 0 6 A remainder is a number that is leftover. 6 36 RAG: R-48 divided by 4 A-67 divided by 8 G-74 divided by 6 Tip. If there is a remainder write it like this: r 3 or whatever the remainder is at the bottom, (where the 0 is). • Click to go back to menu
Division on a number line 32 divided by 5 =6r2 First we started with 0 and added 1 group of 5.Then we added 6 groups of 5 until we got to 30.We couldn’t add another group of 5 .Our number was 32,so we had 2 left over. The answer was 6 remainder 2. +5 +5 +5 +5 +5 r2 +5 5 20 15 30 r2 0 10 25 6 6 6 6 24 divided by 6 = 4 6 12 0 24 18 First we started with 0 and added one group of 6.Then we added another group of 6. After that we added 2 more groups of 6.Then we got our answer 4 because we added 4 groups of six to get 24. • Click to go back to menu
Division facts • If you are not comfortable with your times tables you need to go to the times tables slide because all of these division methods need you to have some understanding of your times tables. • If you don’t want remainders or decimals here are some rules you can follow: • You can only divide numbers by 3 that are in the 3 times table. • You can only divide numbers by 4 that are in the 4 times table. • You can only divide numbers by 5 that are in the 5 times table. • You can only divide numbers by 6 that are in the 6 times table. • The same rule applies for all numbers. • Click to go back to menu