Myths about teaching can hold you back
- Year 10•
- Foundation
Problem solving with linear graphs
I can use my knowledge of linear graphs to solve problems.
- Year 10•
- Foundation
Problem solving with linear graphs
I can use my knowledge of linear graphs to solve problems.
Lesson details
Key learning points
- The shape of a graph can be used to identify its equation.
- Either the graphs or the equations can be used to identify parallel lines.
Keywords
Midpoint - The midpoint of a line segment is halfway between the two end points.
Common misconception
Pupils may not appreciate all the steps required to prove what type of shape is shown.
A warm-up for the lesson could be to review properties of shapes. Consider describing a shape, one property at a time. How much information is needed before pupils can be certain they know which shape is being described?
To help you plan your year 10 maths lesson on: Problem solving with linear graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Problem solving with linear graphs, 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 4 maths lessons from the Linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What number is halfway between 7 and 19?
Q2.Which of these coordinates are on the line $$x = 2$$?
Q3.Which of these lines passes through the coordinates (2, 8) and (5, 8)?
Q4. lines are straight lines which are always the same non-zero distance apart.
Q5.The gradient of this line is .

Q6.The gradient of the line passing through (5, 5) and (9, -3) is .
Assessment exit quiz
6 Questions
Q1.What is the coordinate of the midpoint of the line segment AB?

Q2.What is the coordinate of the midpoint of the line segment AB?

Q3.Point P has coordinates (3, -8) and point Q has coordinates (10, -2). What is the coordinate of the midpoint of PQ?
Q4.Point A has coordinates (6, 2) and B has coordinates (12, 0). Line L has equation $$y = 2x - 5.$$ What is the equation of the line parallel to L which passes through the midpoint of AB?

Q5.If shape ABCD is a parallelogram, which of these statements would have to be true?

Q6.Jacob plots four points A, B, C on a graph. Jacob says he can join the points to form a parallelogram. Why is Jacob incorrect?
