Explain how a combination of different parts can be equivalent to the same whole
Lesson details
Learning outcome
I can explain how a combination of different parts can be equivalent to the same whole.
Key learning points
- The same whole can be composed in different ways.
- Different ways of composing the whole are equivalent.
- Expressions can be used to express the combinations of different parts of the whole.
Keywords
Equivalent - Two expressions are equivalent if they have the same value.
Common misconception
Pupils may look at each rod as representing a number rather than focusing on the colour.
Remind pupils that the rods have no numerical value and encourage pupils discuss the rods by their colour name. They may notice proportional relationships but these should not be labelled numerically.
Teacher tip
If pupils are unfamiliar with number rods, ensure pupils take time to play with the rods and explore them for themselves, becoming familiar with how they can represent equivalence. Online tools could be used to allow pupils to manipulate number rods.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Select the values that could be labelled as parts in this equation: 500 = 150 + 350
Q2.Which of the following expressions are equivalent to 5 + 5 + 5?
Q3.0.3 + 0.1 + 0.6 = 1 Which other combination of three parts has the same whole?
Q4.Complete the statement: If I know 1.7 + 8.3 = 10 then I know + 7.3 = 10
Q5.Select two addends which sum to make 1,000
Q6.Lucas and some of his friends drank some water. Lucas drank 0.25 l of water, Sofia drank 130 ml, and Andeep drank 0.3 l. How much water did they drink in total? Give your answer in ml. ml
Assessment exit quiz
6 Questions
Q1.Two expressions are _________ if they have the same value.
Q2.Which equations match this image?
Q3.Which equations match this image?
Q4.Which equation matches this image?
Q5.Which bar model represents this equation? o = 2 × p + r
Q6.Complete this equation. bl = lg + × r
To help you plan your 6 maths lesson on: Explain how a combination of different parts can be equivalent to the same whole, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain how a combination of different parts can be equivalent to the same 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 Use knowledge of part-part-whole structure to solve additive problems unit, dive into the full primary maths curriculum, or learn more about lesson planning.