A9a – Plotting straight line graphs

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Prerequisites

Part 1 – Vertical and horizontal lines

Teacher resources for Part 1

Coordinate grids – one quadrant (0 to 10) – for Alpha Exercise:
- 1 per page
- 2 per page
Coordinate grids – four quadrants (-10 to 10) – for Beta and Gamma Exercises:
- 1 per page
- 2 per page

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)
Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)
Handout (slides with exercises only; 4 per page for reduced printing)
- Worked solutions to all questions

Card sort

Interactive Desmos graph showing horizontal and vertical lines (external site)

Link to Desmos

Links to past exam questions

Teachers: log in to access these.

Interactive GeoGebra activity: Horizontal and vertical lines and coordinates

Part 2 – Lines of the form y = mx + c

Teacher resources for Part 2

Coordinate grids – one quadrant (0 to 10) – for Alpha Exercise:
- 1 per page
- 2 per page
Coordinate grids – four quadrants (-10 to 10) – for Beta and Gamma Exercises:
- 1 per page
- 2 per page

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)
Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)
Handout (slides with exercises only; 4 per page for reduced printing)
- Worked solutions to all questions

Card sort

Shortcut activity: A tricky slope?

Interactive Desmos graph showing lines of the form y = mx + c (external site)

Links to past exam questions

Teachers: log in to access these.

Interactive GeoGebra activity: Finding the gradient of a straight line

What is the gradient of the line shown?

Interactive GeoGebra activity: Identifying equations of straight line graphs

What is the equation of the line shown?

Interactive GeoGebra activity: Straight line graphs and coordinates

Interactive GeoGebra activity: Draw the line - RECOMMENDED ACTIVITY!

Drag the blue points to match the equation given. The line will turn green if you get it correct! Click the “New line” button to have another go.

With thanks to Steve Phelps, whose Graph the Line worksheet is available here. Material modified and embedded here under the CC-BY-SA 3.0 license.

Interactive GeoGebra activity: Identify the scales

The equation of a line is given. Use this to help identify the distances between adjacent tick marks on each axis. Click the “New question” button to have another go.

Part 3 – Lines of the form ax + by = k

Teacher resources for Part 3

Coordinate grids – one quadrant (0 to 10) – for Alpha Exercise:
- 1 per page
- 2 per page
Coordinate grids – four quadrants (-10 to 10) – for Beta and Gamma Exercises:
- 1 per page
- 2 per page

Teachers: log in to access the following:

Slides in PPTX (with click-to-reveal answers)
Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)
Handout (slides with exercises only; 4 per page for reduced printing)
- Worked solutions to all questions

Links to past exam questions

Teachers: log in to access these.

In the real world

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What next?

A10a – Identifying and interpreting gradients and intercepts of linear functions graphically and algebraically – gradient and intercept should be your next topic, if you are not already familiar with them.
A9b – Using y = mx + c to identify parallel and perpendicular lines
A9c – Finding the equation of a line through two given points or through one point with a given gradient