Maths for Years 3 and 4

Please find below a number of videos illustrating and explaining how key aspects of Mathematics are taught in Year 3 and Year 4.

Addition

2 Digit + 2 Digit

1. Line up the place values. Ones above ones, tens above tens etc.
2. Start from ones place value (right side of number).
3. Add these numbers.
4. Write down the ones value.
5. Carry any tens if the value you made was above ten. Put these under the next column.
6. Go onto next tens place value and add. (Don’t forget to add the carry if you have one)
7. Add any carry you have.

3 Digit + 2 Digit

1. Line up the place values. Ones above ones, hundreds above hundreds etc.
2. Start from ones place value (right side of number).
3. Add these numbers.
4. Write down the ones value.
5. Carry any tens if the value you made was above ten. Put these under the next column.
6. Go onto next place value and add (Don’t forget to add the carry if you have one).
7. Repeat for the next column until you are finished.

3 Digit + 3 Digit

1. Line up the place values. Ones above ones, hundreds above hundreds etc.
2. Start from ones place value (right side of number).
3. Add these numbers.
4.Write down the ones value.
5. Carry any tens if the value you made was above ten. Put these under the next column.
6. Go onto next place value and add (Don’t forget to add the carry if you have one).
7. Repeat for the next column until you are finished.

Subtraction

2 Digit Number - 2 Digit Number

1. Look at the calculation.
2. Write the largest number down.
3. Write the second number down so the places values are in the correct place. E.g. One above ones, tens above tens.
4. Start from the right hand side.
5. Do the top number take away the bottom number.
6. If you cannot do this then exchange.
7. Take a ten from the place value to the left on the top and put this by the number above.
8. Make sure you reduce the place value to the left on the top by one.
9. Carry on subtracting.

3 Digit Number - 2 Digit Number

1. Look at the calculation.
2. Write the largest number down.
3. Write the second number down so the places values are in the correct place. E.g. One above ones, tens above tens.
4. Start from the right hand side.
5. Do the top number take away the bottom number.
6. If you cannot do this then exchange.
7. Take a ten from the place value to the left on the top and put this by the number above.
8. Make sure you reduce the place value to the left on the top by one.
9. Carry on subtracting.
10. A blank space will always contain a 0.

4 Digit Number - 3 Digit Number

1. Look at the calculation.
2. Write the largest number down.
3. Write the second number down so the places values are in the correct place. E.g. One above ones, tens above tens.
4. Start from the right hand side.
5. Do the top number take away the bottom number.
6. If you cannot do this then exchange.
7. Take a ten from the place value to the left on the top and put this by the number above.
8. Make sure you reduce the place value to the left on the top by one.
9. Carry on subtracting.
10. A blank space will always contain a 0.

3 Digit Number - 3 Digit Number

1. Look at the calculation.
2. Write the largest number down.
3. Write the second number down so the places values are in the correct place. E.g. One above ones, tens above tens.
4. Start from the right hand side.
5. Do the top number take away the bottom number.
6. If you cannot do this then exchange.
7. Take a ten from the place value to the left on the top and put this by the number above.
8. Make sure you reduce the place value to the left on the top by one.
9. You may have to exchange more than once.
10. Carry on subtracting to get the answer.

Multiplication

2 Digit x 1 Digit

1. Write numbers in column form in correct place value. E.g. Ones above ones.
2. Multiply the ones digit by the ones digit on the right hand side above.
3. Record the ones answer underneath carrying any tens below the answer space under the next place value column.
4. Multiply the ones value by the tens above remembering to add any carries underneath before you put your answer down.

3 Digit x 1 Digit

1. Write numbers in column form in correct place value. E.g. Ones above ones.
2. Multiply the ones digit by the ones digit on the right hand side above.
3. Record the ones answer underneath carrying any tens below the answer space under the next place value column.
4. Repeat with each digit from right to left remembering to add any tens underneath before you put your answer down.

4 Digit x 1 Digit

1. Write numbers in column form in correct place value. E.g. Ones above ones.
2. Multiply the ones digit by the ones digit on the right hand side above.
3. Record the ones answer underneath carrying any tens below the answer space under the next place value column.
4. Repeat with each digit from right to left remembering to add any tens underneath before you put your answer down.

Division

2 Digit Divided by 1 Digit

1. Draw the bus stop.
2. Use multiplication to see how many of the divisor (number on outside) go into the first digit of the dividend (number in the bus stop).
3. Write this number above.
4. Any remainders carry onto the next digit of the dividend.
5. Repeat for answer.
Tip! If the digit in the dividend is less than the divisor write 0 and carry over everything to the next place value.

3 Digit Divided by 1 Digit

1. Draw the bus stop.
2. Use multiplication to see how many of the divisor (number on outside) go into the first digit of the dividend (number in the bus stop).
3. Write this number above.
4. Any remainders carry onto the next digit of the dividend.
5. Repeat for answer.
Tip! If the digit in the dividend is less than the divisor write 0 and carry over everything to the next place value.

4 Digit Divided by 1 Digit

1. Draw the bus stop.
2. Use multiplication to see how many of the divisor (number on outside) go into the first digit of the dividend (number in the bus stop).
3. Write this number above.
4. Any remainders carry onto the next digit of the dividend.
5. Repeat for answer.
Tip! If the digit in the dividend is less than the divisor write 0 and carry over everything to the next place value.

Fractions

Adding Fractions with same Denominator

1. Draw a bar and split it into the correct number of equal parts (denominator).
2. Colour in the selected parts (numerator).
3. Count the total number of parts coloured in to find the total fraction.
OR...
1. Add the numerators.
2. Keep the denominators the same.

Finding the Fraction of an Amount - 1 as Numerator

1. Divide the amount by the denominator.
2. Take this answer and times by the numerator.
3. The numerator is one so the answer will stay the same.

Finding the Fraction of an Amount - Not 1 as Numerator

1. Take the amount and divide this by the denominator,
2. Take this answer and times it by the numerator.
3. This number will be the answer.

Subtraction of Fractions

1. Split a bar into equal parts (denominator).
2. Colour in the selected parts (numerator).
3. Cross out the number of equal parts, shown by the numerator in the fraction you are taking away.
4. Count the remaining fraction
OR...
1.Subtract the numerators.
2. Keep the denominator the same.