Help Sheets for Addition and Subtraction Outcomes Early Stage: I have explored numbers, understanding that they represent quantities, and I can use them to count, create sequences and describe order. MNU 0-02a I can use practical materials and can ‘count on and back’ to help me to understand addition and subtraction, recording my ideas and solution in different ways. MNU 0-03a 1st Stage: I can use addition and subtraction when solving problems, making best use of the mental strategies and written skills I have developed. MNU 1-03a I have investigated how whole numbers are constructed, can understand the importance of zero within the system and can use my knowledge to explain the link between a digit, its place and its value. MNU 1-02a 2nd Stage: Having determined which calculations are needed, I can solve problems involving whole numbers using a range of methods, sharing my approaches and solutions with others. MNU 2-03a Having explored the need for rules for the order of operations in number calculations, I can apply them correctly when solving simple problems. MTH 2-03c I can show my understanding of how the number line extends to include numbers less than zero and have investigated how these numbers occur and are used. MNU2-04a Guide to: Addition (Horizontal Layout) For Example: John has 5 sweets and buys 4 more. How many sweets does John have altogether? Step 1: Write the calculation as shown in the box Step 2: 7 units add on 2 units equals 9 Record this answer 5+4=9 Addition Words: add, find the sum, find the total, how many altogether, count on Step 3: Check your answer by using the inverse operation: 9 - 4 = 5 A Guide to: Addition (Horizontal Layout) with Carrying For Example: There are 11 people on a bus, at the next stop 2 more people get on the bus. How many people are there on the bus now? Step 1: Write the calculation as shown in the box Step 2: 11 units add on 2 units equals 13 units Record this answer 11 + 2 = 13 Addition Words: add, find the sum, find the total, how many altogether, count on Step 4: Check your answer by using the inverse operation: 13 – 2 = 11 A Guide to: Addition (Horizontal Layout) For Example: John has 23 sweets and buys 16 more. How many sweets does John have altogether? Step 1: Write the calculation as shown in the box 23 +16 = 39 Step 2: Start at 23 on the number line. Add 10 on and then add 6 on. 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Step 3: Check your answer by using the inverse operation. 39 - 16 = 23 Addition Words: Words: add, find the sum, find the total, how many altogether, count on A Guide to: Addition (Horizontal Layout) with Carrying For Example: There are 34 people on a bus, at the next stop 8 more people get on the bus. How many people are there on the bus now? Step 1: Write the calculation as shown in the box Step 2: Start by adding the units 4 units add 8 units equals 12 units Record the 2 units and carry 1 ten Step 3: Now add the tens column 3 tens add the carried 1 ten equals to 4 tens Record the 4 tens and say the answer 34 + 8 = 42 Addition Words: add, find the sum, find the total, how many altogether, count on Step 4: Check your answer by using the inverse operation. 42 – 8 = 34 Guide to: Addition (Counting On) For Example: John has 7 sweets and buys 2 more. How many sweets does John have altogether? 7+2=9 Step 1: Write the calculation as shown in the box 1 2 3 4 5 6 7 8 9 10 Addition Addition Words: add, find the sum, find the total, how many altogether, count on Step 2: Start at 7 and count on 2 Record this answer Step 3: Check your answer by using the inverse operation: 9 - 2 = 7 A Guide to: Addition (Counting On) For Example: There are 11 people on a bus, at the next stop 2 more people get on the bus. How many people are there on the bus now? 11 + 2 = 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Step 1: Write the calculation as shown in the box Step 2: Start at 11 and count on 2 units Record this answer Addition Words: add, find the sum, find the total, how many altogether, count on Step 4: Check your answer by using the inverse operation: 13 – 2 = 11 A Guide to: Addition (Missing Number) For Example: John and Bob have 5 sweets altogether. John has 3 sweets, how many does Bob have? 3+ =5 Step 1: Write the calculation as shown in the box Step 2: How many do we need to add on to 3 to make 5? Step 2: 3 add on 2 equals 5 Record and say the answer. Step 3: Check your answer: 3+2=5 Addition Words: add, find the sum, find the total, how many many altogether, count on A Guide to: Addition (Missing Number) An Example: There are 9 cars in the car park altogether. There are 4 red cars, the rest are blue cars. How many blue cars are there? Step 1: Write the calculation as shown in the box Step 2: There are 9 altogether, and 4 of these are red. 9 take away 4 equals 5 Step 3: Check your answer: 5 + 4 = 9 +4=9 Addition Words: add, find the sum, find the total, how many altogether, count on A Guide to: Addition with Tens and Units without Carrying For Example: John has 23 sweets and buys 16 more. How many sweets does John have altogether? Step 1: Write the calculation as shown in the box Step 2: Start by adding the units column 3 units add on 6 units equals 9 Record this answer Step 2: Add the tens column 2 tens add on 1 ten equals 3 tens Record and say the answer 23 +1 6 39 Addition Words: add, find the sum, find the total, how many altogether, count on Step 3: Check your answer by using the inverse operation A Guide to: Addition with Tens and Units with Carrying For Example: There are 34 people on a bus, at the next stop 8 more people get on the bus. How many people are there on the bus now? Step 1: Write the calculation as shown in the box Step 2: Start by adding the units column 4 units add 8 units equals 12 units Record the 2 units and carry 1 ten Record the 1 ten as shown 34 + 8 42 Step 3: Now add the tens column 3 tens add the carried 1 ten equals to 4 tens Record the 4 tens and say the answer Step 4: Check your answer by using the inverse operation Addition Words: add, find the sum, find the total, how many altogether, count on A Guide to: Addition with Hundreds, Tens and Units - No Carrying For Example: There are 123 children in Guides and 132 children in the Scouts. How many children are there altogether? Step 1: Write out the calculation as shown in the box Step 2: Start by adding the units column 3 units add on 2 units equals 5 units Record this answer Step 3: Add the tens column 2 tens add on 3 tens equals 5 tens Record this answer Step 4: Add the hundreds column 1 hundred add on 1 hundred equals 2 hundred Record and say the answer 123 +132 255 Addition Words: add, find the sum, find the total, how many altogether, count on Step 5: Check your answer by using the inverse operation A Guide to: Addition with Hundreds, Tens and Units with Carrying For Example: There are 349 people in the tennis club and there are 241 people in the hockey club. How many people altogether are in tennis and hockey clubs? Step 1: Write the calculation as shown in the box Step 2: Start by adding the units 9 units add 1 unit equals 10 units Record the 0 units and carry 1 ten Record the 1 ten as shown 349 +241 590 Step 3: Now add the tens column 4 tens add 4 tens equals 8 and add the carried 1 ten equals to 9 tens Record the 9 tens Step 4: Now add the hundreds column 3 hundreds add 2 hundreds equal 5 hundreds Record and say the answer Step 5: Check your answer by using the inverse operation Addition Words: add, find find the sum, find the total, how many altogether, count on Guide to: Subtraction (Number Line) For Example: John has 7 sweets and eats 2 of them. How many sweets does John now? 7-2=5 Step 1: Write the calculation as shown in the box 1 2 3 4 5 6 7 8 9 10 Addition Words: add, find the sum, find the total, how many altogether, count on Step 2: Start at 7 and then take 2 away Record this answer Step 3: Check your answer by using the inverse operation: 5 + 2 = 7 A Guide to: Subtraction (Number Line) For Example: There are 11 people on a bus, at the next stop 2 people get off the bus. How many people are there on the bus now? 11 - 2 = 9 Step 1: Write the calculation as shown in the box 1 2 3 4 5 6 7 Step 2: Start at 11 and take away 2 Record this answer 8 9 10 11 12 13 14 15 Addition Words: add, add, find the sum, find the total, how many altogether, count on Step 4: Check your answer by using the inverse operation: 11 – 2 = 9 A Guide to: Subtraction with Tens and Units without Exchanging For example: There are 16 cars in the cinema car pack and 4 cars in the office car park. How many more cars are in the cinema car park? Step 1: Write the calculation as shown in the box 16 - 4 12 Step 2: Start with the units column 6 units take away 4 units leaves 2 units Record this answer Step 3: Now calculate the tens column 1 ten take away 0 ten leaves 1 ten Step 4: Record and say the answer Subtraction Language: subtract, minus, difference between, subtraction, count on/back, exchange, more than and less than Step 5: Check your answer by using the inverse operation A Guide to: Subtraction with Tens and Units with Exchanging For example: There are 31 cars in a car park. How many cars are left after 8 have driven away? 2 Step 1: Write the calculation as shown in the box Step 2: Start at the units column You cannot take 8 units away from 1 unit You now have to exchange 1 ten for 10 units Record this as shown Step 3: 11 units take away 8 units leaves 3 units Record this Step 4: 2 tens take away zero tens leaves 2 tens Record this. Step 5: Record and say the answer 31 - 8 2 3 Subtraction Language: subtract, minus, difference between, subtraction, count on/back, exchange, more than and less than Step 6: Check your answer by using the inverse operation A Guide to: Subtraction with Hundreds, Tens and Units without Exchanging For Example: There are 325 cars in a car park at 8 o’clock. At 10 o’clock there are 114 cars in the car park. How many cars left the car park? Step 1: Write the calculation as shown in the box Step 2: Start with the units column 5 units take away 4 units leaves 1 unit Record this answer Step 3: Now calculate the tens column 2 tens take away 1 ten equals 1 ten Record this answer 325 -114 211 Subtraction Language: subtract, minus, difference between, subtraction, count on/back, exchange, exchange, less than Step 4: Now move to the hundreds column 3 hundreds take way 1 hundred equals 2 hundreds Record this answer Step 5: Record and say the answer Step 6: Check your answer by using the inverse operation A Guide to: Subtraction with Tens and Units with Exchanging For Example: There are 314 cars in a car park. How many are left after 183 cars have driven away? Step 1: Write the calculation as shown in the box Step 2: Start at the units column 4 units take away 3 units equals 1 unit Record this 2 31 4 - 18 3 1 31 Step 3: Now calculate the tens column You cannot take 8 tens away from 1 ten You now have to exchange 1 hundred for 10 tens 11 tens take away 8 tens equals 3 tens Record this Subtraction Language: Step 4: 2 hundreds take away 1 hundred equals 1 Record this subtract, minus, difference between, subtraction, count hundred on/back, exchange, less than Step 5: Record and say the answer Step 6: Check your answer by using the inverse operation