Reasoning
Fractions - Sharing Brownies
Element
Reasoning
e
The learner
Demonstrates understanding
that the greater the number of
portions of a whole, the smaller the size of each equal share.
f
The learner
Justifies the ordering of fractions and whole numbers along a number line.
04.
g
The learner
Explains the role of the numerator and denominator.
Compares and orders unit fractions with the different
denominators.
h
The learner
Compares fractions, including equivalent
fractions, [proper, and mixed numbers]
and orders them on a number line.
i
The learner
Compares and orders fractions including
equivalent fractions, with different denominators and numerators on a number line.
J
The learner
Explains how the value of a fraction relates to the value/ size of the whole unit.
Language
Bigger, More, Smaller, Less than, The same as, Fewer
On Monday afternoon, you have some friends coming round. You have bought brownies for them to eat.
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On Thursday, you have more friends round than you had on Monday, but you have the same number of brownies.
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More or less brownies on Thursday compared to Monday?
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Agree with a partner
Brownie thinking
Use ‘brownie’ thinking to solve other problems
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Introducing notation
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4 brownies between 6 friends: 4/6
4 brownies between 7 friends: 4/7
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So which is bigger: 4/6 or 4/7?
More Brownie Thinking.....
What kinds of brownie /people numbers give people 1 full brownie each?
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3 brownies shared between 3 people, 4 brownies, 4 people, 15 brownies, 15 people, 89 brownies, 89 people
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What kinds of brownie/people numbers give people half a brownie each?
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With 4 brownies, how many people would you give each person half a brownie?
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8 people, so 4/8 = 1/2
Say it with brownies thinking.....
Put in order of size: ​
What kind of number of people would you give each person a really small bit of brownie?
Tasks
1. What can you say about these six fractions
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1/6, 1/25, 3/5, 3/20, 4/15, 5/8
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2. Can we decide which fraction is largest & which is smallest?
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3. Pick two fractions and say which one is larger.
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4. Tell me another fraction that is equal to 3/5. And another?
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5. Tell me another fraction that is equal to 5/8. And another?
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6. Is the answer to 3/5 + 5/8 less than 1 or more than 1?
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7. How can we work out the answer to 3/5 + 5/8?
