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.