Use knowledge of the relationship between parts and wholes to solve problems
Lesson details
Learning outcome
I can use knowledge of the relationship between parts and wholes to solve problems.
Key learning points
- If two parts are the same size, but a different fraction of the whole, the whole with the most parts will be greater.
- If two parts are different, but are the same fraction of the whole, the whole with the larger part will be greater.
- If the size of the part and the fraction of the whole are different, we need to calculate to determine which is greater.
Keywords
Times as much - Times as much is a phrase that is used to compare and describe objects.
Common misconception
Children may confuse the different methods used to compare fractions of amounts and their wholes.
Guide through questioning. What is the same/different? Can you represent this visually? What is the size/value of the parts? What fraction of the whole is each part?
Teacher tip
The fractions, and calculations involving them, have been chosen deliberately based on known times table facts. You may wish to modify these to focus on times table facts your learners are more familiar with to support understanding of the new learning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A part is defined as:
Q2.When we have all of something, it is known as the .
Q3.Match the factors to their product.
30
50
12
20
16
Q4.If one-half is a part, then the whole is times as much. Take parts and combine them to make one whole.
Q5.If a part is one-sixth of the whole, how many equal parts are there in the whole?
Q6.The part is a rectangle. It is one third of the whole. Complete the table. There will be equal parts in the whole.
Assessment exit quiz
6 Questions
Q1.If one-quarter is a part, then the whole is times as much. We need to take parts and put them together to make one whole.
Q2.If one-eighth is a part, then the whole is times as much. We need to take parts and put them together to make one whole.
Q3.Look at this table, complete the missing section.
Q4.Who has the most marbles in their whole set?
Q5.Look at the line segments, which whole line would be longer?
Q6.Which whole box of toy cars contains more toy cars?
To help you plan your 3 maths lesson on: Use knowledge of the relationship between parts and wholes to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 3 maths lesson on: Use knowledge of the relationship between parts and wholes to solve problems, 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.