**This activity is based on a set of three spreadsheets with lesson notes which allow you to quickly display and make links between equations, their resultant tables and graphs.**There are spreadsheets for linear, quadratic and simultaneous equations.

Year 7 Objectives covered:

- Generate coordinate pairs that satisfy a simple linear rule
- Plot the graphs of simple linear functions, where y is given explicitly in terms of x, on paper and using ICT
- recognise straight-line graphs parallel to the x-axis or y-axis

- Generate points in all four quadrants and plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT
- Recognise that equations of the form y = mx + c correspond to straight-line graphs

- Find the gradient of lines given by equations of the form y = mx + c, given values for m and c

- Investigate the gradients of parallel lines and lines perpendicular to these lines
- Use ICT to explore the graphical representation of algebraic equations and interpret how properties of the graph are related to features of the equation, e.g. parallel and perpendicular lines
- Understand that the point of intersection of two different lines in the same two variables that simultaneously describe a real situation is the solution to the simultaneous equations represented by the lines
- Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution; consider cases that have no solution or an infinite number of solutions
- Explore simple properties of quadratic functions; plot graphs of simple quadratic and cubic functions, e.g. y = x
^{2}, y = 3x^{2}+ 4, y = x^{3}

**Download resources**