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- Work with coordinates in all four quadrants
- Identify and draw lines that are parallel to the axes
- Recognise and use the line \(y = x\)
- Recognise and use lines of the form \(y = kx\)
- Link \(y = kx\) to direct proportion problems
- Recognise and use lines of the form \(y = x + a\)
- Explore graphs with negative gradient (\(y = -kx, y=a-x, x+y=a\))
- Link graphs to linear sequences
- Plot graphs of the form \(y = mx + c\)

For higher-attaining pupils:

- Explore the gradient of the line \(y = kx\)
- Explore non-linear graphs
- Find the midpoint of a line segment

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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.

- Coordinate Plotter Drag the given points so that they are in the correct positions according to their coordinates.
- Coordinates Picture Plot the coordinates and join them with straight lines to produce a picture.
- Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.
- Coordinates Video For those who would like a reminder about coordinates here it is. This video is to help you do the online, self-marking exercises
- Coordinates A self marking exercise on identifying coordinates culminating in finding the mid point of two given points.
- Plotting Graphs Complete a table of values then plot the corresponding points to create a graph.
- Deconstructing Graphs Fill in the tables of values from the information that can be read from the given graphs.
- Straight Line Graphs Video After drawing a straight line graph learn about its equation in the form y = mx + c.
- Where's Wallaby? Find the hidden wallaby using the clues revealed at the chosen coordinates.
- Graph Patterns Find the equations which will produce the given patterns of graphs.
- 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.

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

- Coordinates It is important that pupils become proficient at understanding coordinates at a basic level before using them in their study of graphs. Plotting points and finding the coordinates of points are the pre-requisite skills for studying a number of branches of mathematics. Pupils should learn the conventions starting with knowing that the horizontal axis is the x-axis and the vertical axis is the y-axis (remember x is a cross so the x axis is across!). The axes meet at the origin which has coordinates (0,0). Coordinates are written as two numbers separated by a comma and contained inside brackets. For example (3,9) means the point is above 3 on the x-axis and level with 9 on the y-axis. To get to this point from origin you go along 3 and up 9 (remember to go along the hall before going up the stairs or that pole vaulter has to run along before leaping up into the air!). Coordinates can be positive or negative (remember points to the right of the origin have a positive x-coordinate – being positive is right!). The abscissa often refers to the horizontal coordinate of a point and the ordinate refers to the vertical coordinate. In three dimensions, three perpendicular lines are defined as the axes and the coordinates of each point is defined with three numbers.
- 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.

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

Plot the given coordinates then join them up to form a picture.

The blue point is exactly in the middle of two red points. What are their coordinates?

Work out which team played which from the information given.

Four different actions depending on the number which appears.

A tricky problem set on a coordinate grid.

Rearrange the numbers, row and column headings so that this table is mathematically correct.

What are the numbers if their sum equals their product?

Divide one whole number by another on your calculator. If the answer has one digit repeated but no other digits you have a Noodlewhack.

Which group of four numbers, arranged in a square, has the largest total?

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.