Use a bar model to represent spatial problems with two unknowns
Lesson details
Learning outcome
I can use a bar model to represent spatial problems with two unknowns.
Key learning points
- The model can represent a scaling structure with one part being __ times the size of the other.
- The model can represent an additive structure.
- The model can represent values of measures in a problem involving shape.
- The model can represent different elements of a problem involving shapes.
Keywords
Represent - To represent something means to show something in a different way.
Common misconception
Pupils cannot identify the lengths of the shapes that make up the length provided in each problem.
Encourage pupils to draw a line over the sides of the shapes that represent the length within the problem. This can help pupils to see how many 'lots of' the smaller shapes length are used and how many 'lots of' the larger shapes lengths.
Teacher tip
You might like to compare these sort of problems to problems with the same structure that pupils have encountered in previous lessons. Making this connection can support pupils to represent the problem efficiently.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.7 × c + 4 × f can also be written as:
Q2.Tick the properties of a square.
Q3.What is the value of the gap marked ? in the bar model? Give your answer in pounds. £
Q4.What is the value of f in the bar model? Give your answer in pounds. £
Q5.What is the value of d in the bar model? Give your answer in pounds. £
Q6.Aisha buys 3 croissants and 2 baguettes for €2.80 Sam buys 5 croissants and and 2 baguettes for €4.40
What is the cost of a croissant?
Assessment exit quiz
6 Questions
Q1.Which set of bar models is it best to compare with?
Q2.This pattern is made from two different-sized equilateral triangles. It is not to scale. What is the side-length of the smaller equilateral triangle? cm
Q3.This pattern is made from two different-sized equilateral triangles. It is not to scale. What is the side-length of the larger equilateral triangle? cm
Q4.This pattern is made up of two different-sized squares. Tick the pair of equations that represent the problem.
Q5.This pattern is made up of two different-sized squares. What is the length of the shorter sided square? cm
Q6.This pattern is made up of two different-sized squares. What is the length of the longer sided square? cm
To help you plan your 6 maths lesson on: Use a bar model to represent spatial problems with two unknowns, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Use a bar model to represent spatial problems with two unknowns, 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 Solving problems with two unknowns unit, dive into the full primary maths curriculum, or learn more about lesson planning.