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Year 4

Express an amount of quarters as a mixed number and an improper fraction.

I can express an amount of quarters as a mixed number and an improper fraction.

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Year 4

Express an amount of quarters as a mixed number and an improper fraction.

I can express an amount of quarters as a mixed number and an improper fraction.

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Lesson details

Key learning points

  1. A fraction with a numerator that is equal to or greater than the denominator is called an improper fraction.
  2. Improper fractions have values that are equal to or greater than one.
  3. A mixed number can be written as an improper fraction of equal value.

Keywords

  • Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Common misconception

Children may just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number.

Encourage checking of work using the stem sentence. For example, there are four groups of four quarters, which is eight quarters, and two more quarters, so that is 10 quarters. Bar models could also be used while understanding develops.

A secure recall of multiplication facts is beneficial in this lesson. If pupils are less secure consider providing a multiplication square to allow them to focus on the concept of converting.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Look at the bar. What fraction of the bar is shaded grey?
An image in a quiz
$$ {3} \over {1}$$
$$ {1} \over {3}$$
Correct answer: $$ {3} \over {4}$$
$$ {4} \over {3}$$
Q2.
Look at this number $$3 {{2} \over {4}}$$ We say it as three and two .
Correct Answer: quarters, fourths
Q3.
Match the equation to its product.
Correct Answer:2 × 4 =,8

8

Correct Answer:5 × 4 =,20

20

Correct Answer:7 × 4 =,28

28

Correct Answer:11 × 4 =,44

44

Correct Answer:12 × 4 =,48

48

Q4.
Look at the part-part-whole model. What is the missing part?
An image in a quiz
3
4
Correct answer: $$ {3} \over {4}$$
$$ {4} \over {3}$$
5
Q5.
Match the equations so they are complete.
Correct Answer:$$ {2} \over {4}$$ =,$$ {1} \over {4}$$ + $$ {1} \over {4}$$

$$ {1} \over {4}$$ + $$ {1} \over {4}$$

Correct Answer:$$ {3} \over {4}$$ =,$$ {1} \over {4}$$ + $$ {2} \over {4}$$

$$ {1} \over {4}$$ + $$ {2} \over {4}$$

Correct Answer:$$ {1} \over {4}$$ =,$$ {3} \over {4}$$ − $$ {2} \over {4}$$

$$ {3} \over {4}$$ − $$ {2} \over {4}$$

Correct Answer:1 =,$$ {1} \over {4}$$ + $$ {3} \over {4}$$

$$ {1} \over {4}$$ + $$ {3} \over {4}$$

Q6.
Jacob has three buckets. Each contains four tennis balls. How many tennis balls does he have? tennis balls
Correct Answer: 12

Exit quiz

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6 Questions

Q1.
Which of the following are improper fractions?
$$ {1} \over {4}$$
$$ {2} \over {4}$$
$$ {3} \over {4}$$
Correct answer: $$ {5} \over {4}$$
Correct answer: $$ {10} \over {4}$$
Q2.
Look at this counting sequence. What comes next? 16 quarters 20 quarters 24 quarters quarters
Correct Answer: 28
Q3.
Look at this number line. Which improper fraction is equivalent to $$1{{2} \over {4}}$$?
An image in a quiz
$$ {4} \over {4}$$
$$ {5} \over {4}$$
Correct answer: $$ {6} \over {4}$$
$$ {7} \over {4}$$
Q4.
How do we write the whole number four as an improper fraction with a denominator of four?
$$ {8} \over {4}$$
$$ {12} \over {4}$$
Correct answer: $$ {16} \over {4}$$
$$ {20} \over {4}$$
Q5.
Which of these represents this mixed number $$1{{1} \over {4}}$$ as an improper fraction?
$$ {2} \over {4}$$
$$ {11} \over {4}$$
Correct answer: $$ {5} \over {4}$$
$$ {6} \over {4}$$
Q6.
If nine apples were each cut into quarters, how many quarters would there be? quarters
Correct Answer: 36

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