# Solve linear equations

- Solve problems involving linear equations, including those derived from formulas (ACMNA235)
- Solve linear equations involving simple algebraic fractions (ACMNA240)
- Solve problems involving parallel and perpendicular lines (ACMNA238)

## Video: The Coordinate Geometry of Typography Page

Computers use mathematical expressions to display points, lines, curves and shapes to represent images.

## Task: Graphing letters

Find the coordinates and gradients of the letters A and K before choosing your own letters to represent using linear and non-linear equations. One should include two lines that are parallel and two that are perpendicular – how do their gradients relate?

# Solve simultaneous equations

- Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology (ACMNA237)

## Video: Solving linear simultaneous equations

Use number plumber and algebra to find the cheapest rental truck.

## Task: Find the cheapest rental truck

Use number plumber (load theย Hiring-a-moving-truck example) and algebra to find the cheapest rental truck.

# Solve inequalities

- Solve linear inequalities and graph their solutions on a number line (ACMNA236)

## Video: Graphing inequalities Page

Using Geogebra to graph inequalities

## Task: “You sunk my inequality!”

Choose coordinates for your battleship and use inequalities to plot your opponent’s destruction! Optional game board.

# Non-linear relationships

- Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate (ACMNA239)
- Solve simple quadratic equations using a range of strategies (ACMNA241)

## Interactive: Graphing parabolas

Graph parabolas using Geogebra.

## Interactive: Throwing a ball

Apply quadratic equations to projectile motion.