Myths about teaching can hold you back
- Year 8
Using dynamic software to explore linear relationships
I can solve a range of problems involving graphical and algebraic aspects of linear relationships using dynamic software.
- Year 8
Using dynamic software to explore linear relationships
I can solve a range of problems involving graphical and algebraic aspects of linear relationships using dynamic software.
Lesson details
Key learning points
- Dynamic software can be used to investigate how the gradients affects the line.
- Dynamic software can be used to investigate how the intercept affects the line.
- Dynamic software can be used to investigate connections between lines, coordinates, tables and algebraic representations
Keywords
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Common misconception
From the line $$y=x$$ to $$y=x+1$$ to $$y=x-1$$ the lines are moving left/right rather than up/down.
It can be shown by using a $$(x,c)$$ coordinate in desmos. That coordinate moves up and down with the change in '$$c$$'.
To help you plan your year 8 maths lesson on: Using dynamic software to explore 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: Using dynamic software to explore 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
Prior knowledge starter quiz
6 Questions
Q1.Relationships in the form of $$y=mx+c$$ will give us a .
Q2.What is the gradient of this line?

Q3.Which of these coordinates is $$(0,3)$$?

Q4.Which of these coordinates sits on the $$y$$-axis?

Q5.This table of values will plot a linear relationship with what gradient?

Q6.This table of values will plot a linear relationship with what gradient?

Assessment exit quiz
6 Questions
Q1.For relationships in the form $$y=mx+c$$ the value of $$m$$ determines the .
Q2.What of these statements will be true about the lines $$y=3x$$, $$y=7x$$, and $$y=-2x$$?
Q3.What is the equation of this line?

Q4.Which statements are true about the lines $$y=x+5$$, $$y=x+9$$, and $$y=x+0.5$$?
Q5.The lines $$y=4-7x$$ and $$y=-0.1-7x$$ have the same .
Q6.Calculate the equation of the line.
