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Year 8 Mathematics Consolidation Scope and Sequence 2024
Term 4: Quadratic Equations and Non Linear Relationships, Financial Mathematics and Indices
The term begins by exploring algebra in the unit Quadratic Equations and Non Linear Relationships. Students will learn how to factorise algebraic expressions by identifying common factors and expanding binomial products. They will factorise monic and non-monic quadratic expressions, and finish off with solving quadratic equations. Connecting algebra to its graphical representations, students will apply graphing applications to visualise quadratic parabolas and exponential curves. They will construct a table of values to plot curves and gain insight into key features of parabolas, such as vertices, intercepts and symmetry. Students will distinguish between linear, quadratic and exponential functions, recognising their application in real life.
Next, the students will embark on the topic Probability. They will investigate relative frequencies from data to estimate probabilities involving “and” and “or”. Students will explore two-step and three-step chance experiments, using tree diagrams and arrays to list possible outcomes in a sample space. They will discover the complexities of independent events. Students will gain a rich understanding of conditional probability language using phrases like “if…then” and “given” and develop critical thinking.
During Term 4, students will complete Task 4 which contributes 35% of the student's overall assessment for the year.
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