Use equivalence and compensation strategies to solve addition problems in a range of contexts
Lesson details
Learning outcome
I can use equivalence and compensation strategies to solve addition problems in a range of contexts.
Key learning points
- The part-whole structure can be used to represent additive problems in a range of contexts.
- A bar model structure can be used to represent additive problems in a range of contexts.
- The same sum rule can be used to solve additive problems in a range of contexts.
Keywords
Budget - A budget is the total amount of money that you have to spend on something. It is often split into parts and money can be redistributed between these parts.
Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.
Adjust - When you adjust you make a change to a number.
Redistribution - Redistribution is where some of one part is moved to another part. It is sometimes known as the same sum rule.
Common misconception
The idea of an extra cost being an addition and a saving being a subtraction can seem counter-intuitive to some children.
Talk through a more basic version using a pound for a budget and sweets at a tuck shop.
Teacher tip
If your school has any other building development projects of any kind, you might wish to change the context to give real-life motivation for the children.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What symbols do we make use of when comparing two or more expressions with different values?
Q2.What is the unknown in the bar model? £
Q3.The tally chart shows the number of vegetables sold in a week from a greengrocers. How many were sold altogether?
Q4.Calculate the following sum using adjustment.
£99 + £154 = £
Q5.Calculate the following sum using adjustment.
£ = £1,999 + £2,500
Q6.Use mental strategies to calculate the unknown in the bar model. The unknown is £
Assessment exit quiz
6 Questions
Q1.Which of the following best describes the word budget?
Q2.Solve the following addition without using a written method.
£6,999 + £1,750 = £
Q3.Find the unknown in the equation below.
£6,999 + £1,750 + £ = £10,000
Q4.The chart shows how many vegetables have been sold. Then, 6 more onions, 2 more spring onions and 4 more potatoes were sold. 5 radishes were returned. How many vegetables have been sold now?
Q5.What is the unknown garden part of the budget shown in the bar model? The budget for the garden is £
Q6.The budget was £10,000 and the graph shows the savings and extra costs. Was this over or under budget?
To help you plan your 6 maths lesson on: Use equivalence and compensation strategies to solve addition problems in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Use equivalence and compensation strategies to solve addition problems in a range of contexts, 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 equivalence and compensation to simplify and solve addition calculations unit, dive into the full primary maths curriculum, or learn more about lesson planning.