Solve problems with two unknowns with one, several and infinite solutions
Lesson details
Learning outcome
I can systematically solve problems with two unknowns with one, several and infinite solutions.
Key learning points
- Problems can be represented using bar models.
- Problems can be solved using trial and improvement.
- Different strategies work for different problems.
Keywords
Precise - If something is precise, it is exact, accurate and careful about the details.
Infinite - Infinite means without an end. If something is unlimited, you could say it has an infinite number of things.
Common misconception
Pupils resort to trial and improvement each time to solve every problem.
Pupils should look to apply what they know from previous learning and explore the structure of each problem to help them identify how best to solve it. You could come up with a checklist as a class for how best to explore a new problem each time.
Teacher tip
There is no set criteria to identify whether a problem has one, multiple or an infinite number of solutions. However, similarities can be found between problems. Encourage pupils to reason each time why they think a problem has one, multiple or infinite solutions.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In this problem, the difference between the known addends is 15 Match the expressions correctly.
Q2.If we call the first missing addend a, match the expressions correctly.
Q3.If we call the first missing addend a, what is the second addend when a = 10?
Q4.Match the value of the first missing number with the correct value of the second missing number.
Q5.Match the value of the second missing number with the correct value of the first missing number.
Q6.If the value of the first missing number is a, what is the value of the second missing number when a = 77?
Assessment exit quiz
6 Questions
Q1.How many solutions do you think this problem has?
Q2.What are the possible values of c if c is an integer? 4c < 13
Q3.c and d are integer values. What is the value of c? You will need to find the value of d to help you. c =
Q4.A baker is packing cakes into boxes to take to a shop. He has 72 cakes. A small box can hold 6 cakes and a large box can hold 8 cakes.
Correctly match the numbers of small and large boxes.
Q5.Which of the solutions are correct?
Q6.Look at this isosceles triangle. What are the sizes of the remaining two angles? °
To help you plan your 6 maths lesson on: Solve problems with two unknowns with one, several and infinite solutions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Solve problems with two unknowns with one, several and infinite solutions, 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.