Starter quiz
- Which of the numbers are factors of 8?
- 1 ✓
- 2 ✓
- 4 ✓
- 6
- 8 ✓
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- 1, 2, 3, 4, 6 and 12 are all factors of which number in this list?
- 6
- 10
- 12 ✓
- 16
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- Which number would be a factor of both 9 and 12?
- 2
- 3 ✓
- 4
- 6
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- What number do you get if 6 is scaled up by a factor of 3? ______
- '18' ✓
- What number do you get if 18 is scaled down by a factor of 2? ______
- '9' ✓
- Which of these expressions have the same value?
- 12 ÷ 3 ✓
- 20 ÷ 4
- 12 ÷ 4
- 20 ÷ 5 ✓
- 100 ÷ 25 ✓
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Exit quiz
- What is the highest factor which is common to the numerator and denominator in the fraction
- '6' ✓
- Is the fraction written in its simplest form?
- Yes because the numerator and denominator are both one digit numbers
- No because the numerator and denominator both share a factor greater than 1 ✓
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- What is written in its simplest form?
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-
- ✓
-
-
- Is Jun's statement always, sometimes or never true?
- Always
- Sometimes ✓
- Never
-
- Which of these fractions are in their simplest form?
-
- ✓
- ✓
-
- ✓
-
- Match the fractions to the equivalent in its simplest form.
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
Worksheet
Presentation
Lesson Details
Key learning points
- If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent.
- If a fraction has been simplified, the numerator and denominator are as small as they can be to keep the relationship.
- Create an equivalent fraction in a simpler form with lower values of the numerator and denominator.
- Use common factors of the numerator and denominator to simplify fractions.
Common misconception
Pupils may not see that the fraction and its simplified version are equivalent. Pupils may not have a deep understanding of how factors relate to fractions.
Stress the equivalence of fractions when simplifying and make use of representations to show that fractions are equivalent using parts of a whole and position on a number line. Discuss the language of factors, common factors and prime numbers.
Keywords
Common factor - When you are comparing the factors of two numbers, a common factor is one shared by both numbers.
Simplest form - When a fraction is in its simplest form, the numerator and denominator only share a common factor of one.
Simplify - To simplify a fraction is to identify the highest common factor shared by the numerator and denominator and to scale down both by that factor.
Scale up/down - To scale up or down is to multiply or divide by a given number or factor.