Starter quiz
- Which of the numbers in the following equation is the divisor? 18 ÷ 6 = 3
- '6' ✓
- Which of these is the inverse of multiplying by 7?
- × 7
- ÷ 7 ✓
- + 7
- − 7
-
- Which of the numbers in the following equation is the quotient? 108 ÷ 12 = 9
- '9' ✓
- What is the missing factor in this equation? ______ × 8 = 96
- '12' ✓
- Match these times tables with their related division facts.
- 3 × 9 = 27⇔27 ÷ 9 = 3 ✓
- 2 × 11 = 22⇔22 ÷ 11 = 2 ✓
- 6 × 8 = 48⇔48 ÷ 8 = 6 ✓
- 6 × 7 = 42⇔42 ÷ 7 = 6 ✓
- True or false? If the dividend is made 10 times the size, the quotient will be 10 times the size.
- True ✓
- False
Exit quiz
- True or false? If the dividend is made 100 times the size the quotient will be 100 times the size.
- True ✓
- False
- Match the times tables to the related division facts with a dividend and quotient 100 times the size.
- 4 × 8 = 32⇔3,200 ÷ 8 = 400 ✓
- 12 × 6 = 72⇔7,200 ÷ 6 = 1,200 ✓
- 3 × 4 = 12⇔1,200 ÷ 4 = 300 ✓
- 5 × 8 = 40⇔4,000 ÷ 8 = 500 ✓
- 6,300 ÷ 9 = ______
- '700' ✓
- 9,600 ÷ 12 = ______
- '800' ✓
- A factory makes 4,500 squash balls every hour. They are put into packs of 5 balls. How many packs are made every hour? ______ packs
- '900' ✓
- The school council raises £4,800 for 6 classes to spend on their class library. If the money is shared equally between classes, how much do they each get? £______
- '800' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- If the dividend is multiplied by 100 then the quotient will be one hundred times the size.
- The dividend is equivalent to the product in the inverse calculation.
- 18 divided by 6 is equal to 3 so 1,800 divided by 6 is equal to 300 or 18 hundreds divided by 6 is equal to 3 hundreds.
Common misconception
Place value counters don't have proportionality in the same way that Base 10 blocks do 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 200 ÷ 2 or 400 ÷ 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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