Classic sequences for AC V8.4

Year 8

Students examine "Think of a Number" tricks and model them visually and algebraically.

Year 8

Students investigate different demonstrations for the formula for the area of a circle.

Year 8

Students create polygons with specific properties, and establish algebraic generalisations about the angles of the polygons.

Year 8

Students discover that the Fibonacci sequence can be used to convert between miles and kilometres, and investigate why this is.

Year 8

Students investigate how tools such as car jacks and scissor lifts move. Physical and software models show how parallelograms and rhombuses are involved.

Year 8

Students cut convex polygons in two and create an algebraic formula for the number of sides of the resulting shapes.

Year 8

Students fold boxes from proportional paper rectangles then use algebraic reasoning to compare the boxes.

Year 8

Students learn a "dance" with ropes that can be used to generate any rational number. They investigate and justify the properties of this "dance".

Year 8

Students use real NBA salary data to investigate variation and spread. They graph data, calculate means and medians and construct arguments.

Year 8

Students complete a series of open-ended and mathematically interesting challenges centred on fluency and conceptual understanding in algebra.

Year 9

Students examine "Think of a Number" tricks and model them visually and algebraically.

Year 9

Students use a range of physical and digital technologies to model and explore a practical geometric problem.

Year 9

Students investigate road grades to create connections between concepts of gradient, angle of elevation and tangent.

Year 9

Students identify whether sequences of coinflips are truly randomly generated or fake. They investigate the "hot hand" phenomenon in basketball.

Year 9

Students use paper models, bikes and software to examine how long vehicles turn corners. They report implications for road design and road safety.