Constructing a whole
Lesson details
Learning outcome
I can construct a whole when given one part and the fraction that it represents.
Key learning points
- If you know a part and the fraction it represents, you can construct the whole.
- If one-__________ is a part, then the whole is __________ times as much.
- Take __________ parts and put them together to make one whole.
Keywords
Construct - Construct means to make or build something. In the context of this lesson, it means to make or build a whole from equal parts.
Common misconception
Children may struggle to construct the whole from a given part. They may misunderstand the total number of parts needed as this includes the original part.
Emphasise the denominator as the number of equal parts and ensure the learner sees the part they have as one of ___ equal parts. Take time to construct and deconstruct wholes from and into equal parts so learners know what to include in the count.
Teacher tip
Practical experience of creating wholes from equal parts is vital here. Consider what real-life and practical experiences you could provide pupils such as using cubes or counters or shapes divided into equal parts. Handling parts and wholes will enhance understanding of key learning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.All of something is known as the .
Q2.Some, but not all of something, is known as a .
Q3.If a whole is divided into two equal parts, each part is one- of the whole.
Q4.If a whole is divided into four equal parts, each part is one- of the whole.
Q5.Which image shows one-third of the whole bar?
Q6.A rod is one part of the whole. Five equal rods make up the whole. Which image shows the whole?
Assessment exit quiz
6 Questions
Q1.When we make or build something, we it.
Q2.One red rod is one-sixth of the whole. Which representation shows a part alongside its whole?
Q3.Which statement describes the relationship between the blue bar and the green bar?
Q4.If a part is one-eighth of the whole. How many equal parts are there in the whole?
Q5.Complete the sentence. If one-quarter is a part, then the whole is times as much. Take parts and put them together to make one whole.
Q6.Complete the table - what would be the number of equal parts in the whole?
To help you plan your 3 maths lesson on: Constructing a whole, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 3 maths lesson on: Constructing a whole, 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 Calculate the value of a part (fractions as operators) unit, dive into the full primary maths curriculum, or learn more about lesson planning.