Straight line graphs

Term 1 starting in week 1 :: Estimated time: 2 weeks

Lines parallel to the axes, \(y = x \) and \( y = - x \)
Using tables of values
Compare gradients
Compare intercepts
Understand and use \(y = mx + c \)
Write an equation in the form \(y = mx + c \)
Find the equation of a line from a graph
Interpret gradient and intercepts of real-life graphs

For higher-attaining pupils:

Model real-life graphs involving inverse proportion
Explore perpendicular lines

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Activities for pupils

Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Gradient of a Line Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run.

Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.

Straight Line Graphs Video After drawing a straight line graph learn about its equation in the form y = mx + c.

Straight Line Graph Equation An online exercise about the equation y=mx+c and the features of a straight line graph.

Graphs of Vertical and Horizontal Lines Questions about the equations of straight line graphs that are parallel to the axes.

Don's Graph Snaps Complete the tables and find the equations of the graphs that can be seen in the snaps.

Graph Patterns Find the equations which will produce the given patterns of graphs.

Line Graph Challenge A challenge to produce the straight line patterns using a GDC or graph plotting software.

Straight Line Graphs 10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator.

Graph Match Match the equations with the images of the corresponding graphs. A drag-and-drop activity.

Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.

Parallel Graphs Collect together in groups the equations of the graphs that are parallel to each other.

Perpendicular Pairs Find the pairs of equations that will produce perpendicular graphs.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.

Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

1st Lesson

BTS

You have four minutes to write down as many equations as you can involving B, T and S.

2nd Lesson

Red Lines

Either estimate the lengths of the red lines or, if you know how, calculate how long they are.

3rd Lesson

Multiply Quickulations

Random multiplications appear on screen every few seconds.

4th Lesson

Refreshing Revision

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

5th Lesson

Cunning Code

Decode the message by doing the calculations given for each letter.

6th Lesson

Mult Sum Diff Div

For each pair of numbers multiply the sum by the difference then divide the answer by 5.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.