Myths about teaching can hold you back
- Year 4
- Year 4
Explain how a mixed number is composed
I can explain how a mixed number is composed.
Lesson details
Key learning points
- Mixed numbers are composed of a whole number part and a fractional part.
- The composition of mixed numbers can be written as an addition equation, adding the whole part and the fractional part.
- Mixed numbers can be represented on a part-part-whole model.
- The part-part-whole model can be used to form addition and subtraction equations.
Keywords
Mixed number - A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.
Composition - The composition of a whole number is the way in which the whole number is made up. For example, ten is composed of seven and three.
Common misconception
Children may be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth.
As a school, establish how mixed numbers will be recorded so that you have consistency. Ensure children are accurately expressing the fraction part.
To help you plan your year 4 maths lesson on: Explain how a mixed number is composed, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 4 maths lesson on: Explain how a mixed number is composed, 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 Composition of fractions greater than one 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.Look at the part-part-whole model. 100 is made of 75 and
Q2.Mixed numbers always have a value that is __________ than one.
Q3.Look at this mixed number $$5{{3} \over {12}}$$ We say it as and three one-twelfths.
Q4.Look at this mixed number $$7{{3} \over {8}}$$ We say it as ‘seven and three- .
Q5.Look at this table then complete the sentence: Three and a hours were spent swimming in total.
Q6.Jacob has a three metre length of rope. Sophia has one-half a metre length of rope. How many metres of rope do they have altogether?
Assessment exit quiz
6 Questions
Q1.Look at the part-part-whole model. What is the missing part?
Q2.Which addition expression represents the composition of the mixed number, $$5{{1} \over {3}}$$?
Q3.4 + $$ {1} \over {9}$$ describes the composition of which mixed number?
Q4. + $$ {3} \over {12}$$ = $$2{{3} \over {12}}$$
Q5.Use the part-part-whole model to complete this equation. $$5{{3} \over {12}}$$ = + $$ {3} \over {12}$$
Q6.Complete this equation.
$$10{{3} \over {4}}$$ = + $$ {3} \over {4}$$