Real world mathematics is complicated. A digital turtle resides in Maths-World where every movement is precise. In this activity students program a virtual turtle using the Python Turtle module. Students learn a combination of pseudocode, algorithmic thinking and geometry in one neat little lesson!

Transformation are significantly more powerful when they are created and explored in a dynamic, digital environment. In this activity students perform a series of dilations on triangles and quadrilaterals in a geometry environment and also on the Cartesian plane. They explore variant (length and area) and invariant (angle) properties in a simple yet powerful visual experience.

Consul the Educated Monkey was a mechanical toy from 1916. The toy relied on geometric properties to perform the multiplication tables. In this activity students use a virtual representation of the toy to analyse and explain how the geometry works and apply new ideas for other applications.

Students investigate the ratio between the opposite side and hypotenuse of a right angled triangle as the triangle is dilated. Once students identify the outcome they explore changes to the angle and estimate ratios for specific angles.

Students investigate the ratio between the adjacent side and hypotenuse of a right angled triangle as the triangle is dilated. Once students identify the outcome they explore changes to the angle and estimate ratios for specific angles.
Note: Students should complete the “Similar Signs” activity first.

Electronic, auto correcting assessment for the Australian Mathematics Curriculum standard ACMMG224 using the TI-Navigator system including a companion PDF of the same. Content detail: "Apply trigonometry to solve right-angled triangle problems."

Electronic, auto correcting formative or summative assessment for the Australian Mathematics Curriculum standard ACMMG223 using the TI-Navigator system including a companion PDF of the same.