Linear Algebra (Years 7-9)
Below is a collection of possible resources which can be used across 6 lessons (approx).
It includes resources which can be used in any order, depending entirely on the class in question.
Resources can be altered and used to build a strong knowledge base, extend pupils further and assess learning.
Pupils could also use the weblinks to develop understanding of linear algebra individually using ICT.
by David Main and sarahpage
Coordinate Plotting
This resource has 8 clues as to where certain letters go on a positive cartesian grid.
This can be used to assess pupils understanding of co-ordinates and plotting skills, although a knowledge of symmetry and rotational symmetry is required.
The resources is interactive and can be used in front of entire class or by individual pupils.
Midpoint Triangle
A resource which uses pupils knowledge of midpoints to cut a square into 4 pieces, so that the pieces then become a triangle. Pupils are able to assess their own success, as the triangle created should be a perfect triangle, and mistake will be obvious.
Possible Extension; Challenge pupils to use midpoint knowledge to create their own version of the problem.
Linear Graphs and Equations
Resource that includes various activities, of which the following are particularly useful.
Page 1: Plotting points which join together to make various shapes.
Page 7-14: Examines the gradients of straight line graphs, focusing on diff y / diff x, as well as more in-depth questions.
Page 20-27: parallel lines with equal gradients, along with in-depth questions.
Number and Algebra 4
A collection of activities. Linear Algebra starts on page 37.
Page 37 describes the connection between mappings, function machines and mapping diagrams.
Page 39 includes graphical calculator activities.
Page 43-46 has real-life conversion graphs, distance time graphs and percentage graphs.
Equations of a Line
Uses the mathsisfun site to illustrate, with examples and explanations, how gradients and intercepts change the shape of a straight-line graph.
At the bottom of the page there is a link to an interactive line-plotter, which should allow students to see the effect of different gradients and intercepts.
Performing Number Magic A9
The final flash game on this page, 'Number Magic Routes', is useful for illustrating the different effects C and M have on the output, as well as the importance of getting them the correct way around.
Could also help with creating a table of values in class.
Interpreting Distance-Time Graphs with a Computer A5
A resources from the 'Standards Unit' which examines distance-time graphs using a car travelling along a road.
Pupils can then make their own graphs and probelms.
Sports Graphs
A collection of graphs based on Tennis Serves, Football league positions over time, Runners speeds and altitute and various others.
Pupils can use this resource to perform reports on matches or races, using the graphs as a basis for these.
Interpreting Distance – Time Graphs A6 *suitable for home teaching*
A resource from the 'Standards Unit' which involves interpretting and constructing distance-time graphs. It looks at constant and changing speeds and consequently gradients of graphs. Lots of matching activities are included.
