# Maths for Years 1 and 2

Please find below a number of videos illustrating and explaining how key aspects of Mathematics are taught in Year 1 and Year 2.

## Addition

#### 1 Digit + 1 Digit Using a Number Line

1. Put your finger on the starting number.

2. What is the other number? Draw that many jumps.

3. Write the amount you are adding in each jump (e.g. +1).

4. Put the starting number in your head.

5. Count on using the jumps.

6. The last number you jump on is the answer.#### 1 Digit + 1 Digit Using Dienes

1. Draw the starting number of blocks.

2. Draw the amount of blocks you need to add.

3. Count all the blocks.#### 2 Digit + 1 Digit Using Dienes

1. Draw the tens dienes (long blocks) of the first number.

2. Draw the ones dienes (small blocks) of the same number.

3. Write an add sign.

4. Draw the other number.

5. Add all the tens.

6. How many tens? Put this in your head and add on the ones.

#### 2 Digit + 1 Digit on a Number Line Using Number Bond Knowledge

1. Draw the number line.

2. Write the starting (largest) number at the start of the line (on the left).

3. Using your number bonds jump to the nearest number ending in 0.

4. Write in the jump how many you jumped by.

5. Look at the number you are adding.

6. How many more ones are still left for you need to add? Add these on.

9. The answer is the final number you land on.#### 2 Digit + 1 Digit Using Number Line Jumps of 1

1. Draw the number line and write the first number.

2. Do single jumps of +1.

3. Do the same amount of jumps as the second number.

4. Count along the hops to find the answer.#### 2 Digit + 2 Digit Using Dienes

1. Draw the tens dienes (Long Blocks) of the first number.

2. Draw the ones dienes (Individual Blocks) of the same number.

3. Do the same with the second number in the sum.

4. Add all the tens.

5. Keep that number in your head and continue, now adding on the ones.

#### 2 Digit + 2 Digit Using Number Line (Number Bonds and Jumps of Ten)

1. Draw a number line and write the first number.

2. Look at the tens place value in the second number.

3. Do this number of hops of ten.

4. Write this new number down under the number line.

5. Now look in the ones place value in the second number.

6. Do this amount of single jumps.

7. The number on which you land is the answer.#### Finding a Missing Number Using a Number Line

1. Look at the sum you have been given.

2. On a number line draw the first number.

3. Do jumps of +1 until you get to the answer that's been given in the sum.

4. The answer is the amount of jumps you did.#### Adding Counters to a Number

1. Put the number in your head.

2. Add one for the first counter and write the new number underneath.

3. Keep doing this for all counters.

4. The last number you write is the answer.

#### Adding Objects

1. Look at the first group of objects.

2. Count these and write the number underneath.

3. Put a + sign between the objects.

3. Look at the next group of objects.

4. Count these and write the number underneath.

5. Count all of the counters.

6. This is your answer.

#### Bar Model - Finding the Largest Number

1. Look at the numbers underneath. These add together to make the answer.

2. Draw dienes for the first number.

3. Draw the tens dienes (Long Blocks) of the first number.

4. Draw the ones dienes (Individual Blocks) of the first number.

5. Do this for the second number.

6. Add all of the tens you have.

7. Add all the ones you have.

8. Add these together to get the answer.

#### Petal Partitioning - Easier

1. Write the sum down.

2. Draw a petal.

3. Partition the first number into tens and one. Write the tens above the petal and the ones below.

4. Draw another petal.

5. Partition the second number into tens and ones. Write the tens above and the ones below this petal.

6. Add the tens together above the petals.

7. Add the ones together below the petals.

8. Combine these two place values together for your answer.

#### Petal Partitioning - Harder

1. Write the sum down.

2. Draw the first petal.

3. Partition the first number into tens and one. Write the tens above and the ones below.

4. Draw another petal.

5. Partition this number into tens and ones. Write the tens above and the ones below.

6. Draw a petal for your answer.

7. Add the tens together and then add the ones together from the previous petals.

8. Add these two numbers above and below the answer petal together.## Subtraction

#### 1 Digit - 1 Digit Using Dienes

1. Look at the calculation.

2. Your answer will always be smaller than your largest number.

3. Draw dienes in ones for the largest number.

4. Look at the other number.

5. Cross this many dienes out.

6. The amount of dienes you have left is your answer.#### 1 Digit - 1 Digit Using Objects

1. Draw the same amount of objects (sweets or chocolates) as the first number.

2. Cross out the same amount of objects as the second number.

3. The amount of objects you have left is the answer.#### 1 Digit Number - 1 Digit Using Number Line

1. Draw a number line.

2. Write the largest number on the right hand side of the line.

3. Write the smallest number on the left hand side of the line.

4. From the largest number jump back by 1.

5. Record the number you are now at below.

6. Keep jumping back by 1 until you get to the smallest number.

7. The amount of jumps you did is the answer.#### 2 Digit - 1 Digit (No Bridging)

1. Draw the tens dienes (Long Blocks) of the first number.

2. Draw the ones dienes (Individual Blocks) of the first number.

3. Cross out the same amount of dienes as the number you are subtracting.

4. Count up the amount of dienes you have left.

5. This is your answer.#### 2 Digit - 2 Digit Using Dienes and Number Line

1. Draw a number line and add the largest number on the right hand side.

2. Look at the number you are subtracting.

3. Jump back in tens until you get to the same amount of tens in the number.

4. Record the number on which you land.

5. Then jump back by the same amount of ones as in the number you are subtracting.

6. The number on which you land is the answer.#### 10 Split into 2 Parts with a Missing Number

1. The number at the top is the number you need to get to.

2. The number below is the number you already have.

3. Draw a number line and write the smallest number you have on the left side.

4. Do jumps of one until you get to the number on the top.

5. Count the amount of jumps you did.

6. The amount of jumps you did is the missing number you need to find.#### Bar Model - Finding the Smallest Number

1. The biggest box contains the biggest number.

2. The two numbers below add up to the biggest number above.

3. Find the missing number by using the inverse and taking away the smallest number you have from the largest number on top.

4. Draw the ten dienes (Long Blocks) of the largest number.

5. Draw the ones dienes (Individual Blocks) of the largest number.

6. Cross out the amount of tens dienes in the number you are taking away.

7. Cross out the amount of ones dienes in the number you are taking away.

8. Count up the tens and ones dienes you have left. This is your missing number.#### Bar Model Using Number Bonds to 20

1. The biggest box contains the biggest number.

2. The two boxes below add up to the biggest number above.

3. Draw a number line and add the smallest number you have on the left hand side.

4. Keep adding +1 until you get to the number at the top of the bar model.

5. Count up all the jumps of +1 you have.

6. The amount of jumps is your answer.#### Finding Difference Using Towers

1. Look at the first tower and tick the amount of block it contains.

2. Tick this same amount of blocks on the second tower.

3. Count the amount of block on the large tower that have not been ticked.

4. The number of unticked blocks is the answer.#### Finding Difference Using Number Line

1. Look at the largest number and underline it so you do not go past.

2. Circle the smallest number.

3. Starting at the next number, tick all the numbers up to and including the one you need to stop at.

4. Count up the amount of ticks you have.#### Missing Number Problems

1. Look at the addition sum.

2. Use the inverse and subtract the number you have from the answer to find the missing number.

3. For the largest number, draw the tens dienes (Long Blocks) of this number.

4. Draw the ones dienes (Individual Blocks) of this number.

5. Look at the number you are subtracting.

6. Cross out the tens dienes that this number has from the dienes you have already drawn.

7. Cross out the ones dienes that this number has from the dienes you have already drawn.

8. Add the dienes up that you have left.

9. This is your answer.

#### Missing Number Subtraction Using Number Line and Dienes

1. The largest number is on top.

2. The missing number below will be less than this.

3. Use the inverse and subtract the smallest number from the largest one.

4. Draw the tens dienes (Long Blocks) of the number at the top.

5. Draw the ones dienes (Individual Blocks) of the number at the top.

6. Cross out the amount of tens dienes of the number you are subtracting from the dienes you have already drawn.

7. Cross out the amount of ones dienes of the number you are subtracting from the ones dienes you have already drawn.

8. If you have not got enough ones dienes. Take a tens dienes (Long Block) and split it into ten individual blocks.

9. The amount of dienes you have left is your answer.

#### Subtraction - Exchanging Dienes

1. Look at the calculation.

2. Draw the tens dienes (Long Blocks) for the largest number.

3, Draw the ones dienes (Individual Blocks) for the largest number.

4. Look at the number you are subtracting.

5. Cross out the number of ones dienes.

6. If you run out of ones dienes to cross out then take a long block of ten and exchange it for ten individual blocks.

7. Continue to cross these individual block out until you have subtracted all you need to.

8. Add up all the dienes left to find your answer.## Multiplication

#### Multiplication Using Arrays

1. Look at the calculation.

2. Draw the same amount of circles as the first number going down.

3. Draw the same amount of circles as the second number going across for each circle going down.

4. Count the total amount of circles.#### Multiplication Using Groups

1. Look at the calculation.

2. Look at the first number. Draw this amount circles.

3. Look at the second number. In each circle put this amount of crosses.

4. Add up all the crosses that you have made.

5. The amount of crosses you have is the answer.#### Multiplication Using Objects

1. Read the question and understand the calculation.

2. Draw larger circles for the first number.

3. Look at the second number.

4. Put this amount of objects in in each the large circles.

5. Count how many objects you have. #### Repeated Addition for Multiplication

1. Look at the calculation. Think about how many 'lots of' you have.

For examples 10 lots of 3 or 3 lots of 10.

2. If changing it around makes it easier then do this. The answer will be exactly the same.

3. Keep adding the first number the same amount of times as the second number.

4. The number on which you stop is the answer.## Division

#### Division - Sharing into Groups

1. Look at the calculation.

2. Draw the amount of circles that you are dividing by.

3. Start putting one dot in each circle in order.

4. Stop when you reach the number you that you are dividing.

5. Count how many dots are in each circle.

6. This is your answer.#### Division Using Arrays

1. Look at the calculation.

2. Draw circles for the number you are dividing by in a line going down.

3. Keep drawing columns of circles of the same amount.

4. Stop when you have the same number of circles as the number that is being divided.

5. Put a box around a row.

6. Count the circles in this row.

7. The circles you have counted will be your answer.#### Division Using Repeated Subtraction

1. Read your calculation.

2. Draw a number line.

3. Add the number you are dividing on the right hand side.

4. Keep taking away the number you are dividing by until you get to 0.

5. Add the amount of hops you have done.

6. The amount of jumps will be your answer.

## Fractions

#### Finding a Fraction of a Number

1. Look at the fraction calculation.

2. The denominator (bottom number) tells you how many circles to draw.

3. Draw these circles.

4. Put a dot in each circle until you get to the number that is being divided.

5. Look at the numerator (top number). Count the dots in this amount of circles.

6. The amount of dots will be the answer.