Myths about teaching can hold you back
- Year 8
Problem solving with graphing linear relationships
I can use my knowledge of graphing linear relationships to solve problems.
- Year 8
Problem solving with graphing linear relationships
I can use my knowledge of graphing linear relationships to solve problems.
Lesson details
Key learning points
- Real life relationships can be represented using a linear graph.
- Real life problems can be solved using a linear graph.
- Switching between algebraic and graphical representations can help solve real life problems.
Keywords
Rate of change - The rate of change is how one variable changes with respect to another. If constant, there is a linear relationship.
Gradient - The gradient is a measure of how steep a line is.
Common misconception
There is one answer to everything in maths.
We often see arithmetic and equations with one answer but, maths can be used to compare and justify multiple answers to a single problem.
To help you plan your year 8 maths lesson on: Problem solving with graphing linear relationships, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Problem solving with graphing linear relationships, 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 3 maths lessons from the Graphical representations of linear equations 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.The gradient is a measure of how __________ a line is.
Q2.Which of the values are missing from the table of values for the first five terms of the sequence $$7n-10$$?

Q3.A pupil is saving money. They start with $$£30$$ and save $$£8$$ per week. How much will they have after $$5$$ weeks?
Q4.At what coordinates do these two lines intersect?

Q5.Which of these lines has the steeper gradient?

Q6.Will this table of values plot a linear relationship?

Assessment exit quiz
6 Questions
Q1.On a time distance graph a greater speed is represented by a steeper .
Q2.The graph shows the cost of two taxi companies for miles travelled. Which firm is cheapest for a $$3$$ mile journey?

Q3.The graph shows the cost of two taxi companies for miles travelled. At how many miles do they cost the same price?

Q4.The graph shows the cost of two taxi companies for miles travelled. How much do firm A charge per mile in $$£$$?

Q5.This graph shows the time $$(t)$$ and distance $$(d)$$ of a car journey. For how long did the car stop?

Q6.This graph shows the time $$(t)$$ and distance $$(d)$$ of a car journey. When is the car moving fastest?
