Myths about teaching can hold you back
- Year 6
Explain which strategy for comparing non-related fractions is most efficient
I can explain which strategy for comparing non-related fractions is most efficient.
- Year 6
Explain which strategy for comparing non-related fractions is most efficient
I can explain which strategy for comparing non-related fractions is most efficient.
Lesson details
Key learning points
- If the numerator is the same, the greater the denominator, the smaller the fraction.
- If the numerator is the same, the greater the numerator, the larger the fraction.
- In fractions equivalent to a whole, the numerator is the same as the denominator.
- In fractions equivalent to a half, the numerator is half the value of the denominator.
Keywords
Common denominator - When two or more fractions share the same denominator, you can say they have a common denominator.
Magnitude - The magnitude of something refers to the size of something.
Efficient - To be efficient means finding a way to solve a problem quickly whilst also maintaining accuracy.
Common misconception
Pupils look to convert all fractions so that they have a common denominator in order to compare them.
The vast majority of fractions can be compared without common denominators. To support this, pupils need to have a strong sense of the magnitude of the fractions they are comparing. Do not feel you need to move away from bar models too quickly.
To help you plan your year 6 maths lesson on: Explain which strategy for comparing non-related fractions is most efficient, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Explain which strategy for comparing non-related fractions is most efficient, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Comparing fractions unit, dive into the full primary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.If the numerator is half the size of the denominator, we can say that the fraction is __________.
Q2.Tick the fractions greater than one half.
Q3.Tick the fractions less than one half.
Q4.Compare these two fractions: $$ {4} \over {7}$$ ___ $$ {5} \over {8}$$
Q5.Order the fractions from largest to smallest.
Q6.Compare these two fractions: $$ {5} \over {6}$$ ___ $$ {6} \over {7}$$
Assessment exit quiz
6 Questions
Q1.To complete a calculation efficiently means to calculate it __________.
Q2.Use reasoning to compare these two fractions: $$ {3} \over {12}$$ ___ $$ {7} \over {8}$$
Q3.Use reasoning to compare these two fractions: $$ {6} \over {10}$$ ___ $$ {7} \over {10}$$
Q4.Use reasoning to compare these two fractions: $$ {8} \over {6}$$ ___ $$ {8} \over {10}$$
Q5.Use reasoning to compare these two fractions: $$ {2} \over {3}$$ ___ $$ {4} \over {5}$$
Q6.Use reasoning to compare these two fractions: $$ {3} \over {8}$$ ___ $$ {5} \over {12}$$