Starter quiz
- Match the key words to their definitions
- dividend⇔The amount that you want to divide. ✓
- divisor⇔The number we divide by. ✓
- quotient⇔The result after division has taken place. ✓
- Use 27 × 3 = 81 to calculate 27 × 6 = ______
- '162' ✓
- Calculate 840 ÷ 7 = ______
- '120' ✓
- Which expression could help to solve this problem?
- 2,340 ÷ 30
- 234 ÷ 3 ✓
- 234 ÷ 30
- 2,340 ÷ 0.3
- 23,400 ÷ 30
-
- Which expressions could you use to solve this problem? Some tomatoes have a total mass of 1.44 kg. Each tomato has a mass of 80 g. How many tomatoes are there altogether?
- 144 ÷ 8 ✓
- 1,440 ÷ 80 ✓
- 144 ÷ 80
- 1,440 ÷ 8
- 144 x 8
-
- Sam’s mum takes part in an 2.7 km swimming race. She swims 60 m in one minute. How long will it take her to complete the race? ______ minutes.
- '45' ✓
Exit quiz
- Match the multiplication equations to related division facts.
- 10 × 12 = 120⇔120 ÷ 10 = 12 ✓
- 2 × 12 = 24⇔24 ÷ 2 = 12 ✓
- 4 × 12 = 48⇔48 ÷ 4 = 12 ✓
- 20 × 12 = 240⇔240 ÷ 20 = 12 ✓
- 24 × 12 = 288⇔288 ÷ 24 = 12 ✓
- Which part of the equation is written above the division frame?
- dividend
- divisor
- quotient ✓
- factor
- product
-
- How many hundreds have been regrouped?
- 12
- 24
- 2 ✓
- 288
- 4
-
- What is the missing digit in this short division?
- '6' ✓
- Which of the following is a reasonable estimate for the following equation. 576 ÷ 12 =
- 30
- 40
- 45 ✓
- 50
- 60
-
- Calculate the equation using long division. 576÷ 12 = ______
- '48' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Long division records the subtraction as a calculation underneath the dividend.
- Long division records the regrouping alongside the subtraction.
- There are similarities and differences between long and short division.
Common misconception
Pupils may not unitise when using long division and make errors (e.g. when dividing 7 hundreds by 12).
Explain to pupils that they are looking for multiples of the divisor (1 hundred × 12 = 1,200). This becomes clearer when dividing the tens digits (6 tens × 12 = 72 tens).
Keywords
Estimate - Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved.
Long division - Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
Remainder - A remainder is an amount left after a division.
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