Starter quiz
- Which of the numbers in the following equation is the dividend? 18 ÷ 6 = 3
- '18' ✓
- Which of these is the inverse of multiplying by five?
- × 5
- ÷ 5 ✓
- + 5
- − 5
-
- Which of the numbers in the following equation is the quotient? 18 ÷ 6 = 3
- '3' ✓
- What is the missing factor in this equation? ______ × 7 = 21
- '3' ✓
- Match these times table with their related division facts.
- 7 × 5 = 35⇔35 ÷ 5 = 7 ✓
- 2 × 12 = 24⇔24 ÷ 12 = 2 ✓
- 3 × 5 = 15⇔15 ÷ 5 = 3 ✓
- 8 × 3 = 24⇔24 ÷ 3 = 8 ✓
- True or false? To multiply a whole number by 10 you place a zero after the final digit of that number.
- True ✓
- False
Exit quiz
- True or false? If the dividend is made 10 times the size the quotient will be 10 times the size.
- True ✓
- False
- Match the times tables facts to the related division facts with a dividend and quotient 10 times the size.
- 5 × 9 = 45⇔450 ÷ 9 = 50 ✓
- 4 × 5 = 20⇔200 ÷ 5 = 40 ✓
- 3 × 5 = 15⇔150 ÷ 5 = 30 ✓
- 4 × 3 = 12⇔120 ÷ 3 = 40 ✓
- 840 ÷ 12 = ______
- '70' ✓
- 240 ÷ 4 = ______
- '60' ✓
- A tennis club needs to buy 480 tennis balls. Tennis balls come in packs of 6 How many packs should they buy? ______ packs
- '80' ✓
- The school council raises £540 for 9 classes to spend on their class library. If the money is shared equally between classes, how much do they each get? £______
- '60' ✓
Worksheet
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Lesson Details
Key learning points
- If the dividend is multiplied by 10 then the quotient will be ten times the size.
- The dividend is equivalent to the product in the inverse calculation.
- 18 divided by 6 is equal to 3 so 180 divided by 6 is equal to 30 or 18 tens divided by 6 is equal to 3 tens.
Common misconception
Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.
Smaller divisions can be used with Base 10 to model scaling to start off with. Try 2 ÷ 2 or 4 ÷ 2 scaling up to become 20 ÷ 2 or 40 ÷ 2 with Base 10 and then put this modelling side-by-side with place value counters to make the links.
Keywords
Dividend - The dividend is the number being divided.
Divisor - The divisor is the number we are dividing by.
Quotient - The quotient is the result after division has taken place. It is a whole number.
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