### Standard ACMNA213

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

### Standard ACMNA233

Expand binomial products and factorise monic quadratic expressions using a variety of strategies

### Standard ACMNA239

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate

### Standard ACMSP246

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

#### Activity: Probable Factors

What is the probability that a randomly generated quadratic will factorise? This investigation looks at a significantly reduced set of quadratics using dice to generate the coefficients. The coefficient of x is the sum of two dice and the constant is the product of two dice. Simulation is used for predicting the probability followed by theoretical computations.