reSolve: Trigonometry: Rule of Twelfths Image

Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.

Go to website

reSolve: Trigonometry: Rule of Twelfths

This sequence of three lessons gives students the opportunity to explore how tidal variations can be modelled and predicted using trigonometric functions and approximated with useful 'rules of thumb'. Students use real tidal data to explore how sailors make predictions at sea, draw their own graphs using a range of approximation methods including segments of sine curves and then make comparisons between these methods. The lessons are outlined in detail including curriculum links, materials needed, discussion points and student resources such as links to real data and modelling tools. This sequence is part of the reSolve: Mathematics by Inquiry program.

Additional details

Year level(s) Year 10A
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords tides, unit circles, periodic functions, time series

Curriculum alignment

Curriculum connections Numeracy, STEM/STEAM
Strand and focus Measurement, Build understanding, Apply understanding, Geometry
Topics Non-linear relationships, Pythagoras and trigonometry
AC: Mathematics content descriptions
ACMMG274 Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies
National numeracy learning progression Understanding geometric properties
Understanding units of measurement - UuM9

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.