Pythagoras’ theorem two ways
In this lesson, students use Pythagoras’ theorem to calculate unknown side lengths in right-angled triangles after undertaking a step-by-step method of working through visual and algebraic proofs simultaneously. This will help students develop deeper connections between algebra and measurement in this context.
Additional details |
|
Year level(s) | Year 9 |
---|---|
Audience | Teacher |
Purpose | Teaching resource |
Format | Web page |
Teaching strategies and pedagogical approaches | Classroom talks, Mathematics investigation, Worked examples, Explicit teaching |
Keywords | right-angled triangles, problem solving, proofs, congruency, similarity, algorithms, Maths Hub lesson plan |
Curriculum alignment |
|
Curriculum connections | Critical and creative thinking |
Strand and focus | Measurement |
Topics | Pythagoras and trigonometry, Using units of measurement, Computational thinking |
AC: Mathematics (V9.0) content descriptions |
AC9M9M03
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles |
Numeracy progression |
Understanding geometric properties (P7)
Understanding units of measurement (P10) Proportional thinking (P7) |
Copyright details |
|
Organisation | Commonwealth of Australia |
Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
Related resources
-
Volume and surface area
Area of quadrilaterals, surface area and volume of prisms and cylinders
Resource details -
Algorithms: Year 9 – planning tool
This planning resource for Year 9 is for the topic of Algorithms.
Resource details -
Pythagoras: Cartesian coordinate plane
This lesson is one in a series of lessons on Pythagoras theorem. Students calculate the distance between any two points on the Cartesian coordinate plane using Pythagoras’ theorem and then develop a set of steps that outline the process. It combines the use of Pythagoras’ theorem with the Cartesian coordinate plane and the use of coordinates to specify position, form line segments, shapes of triangles and determine their perimeters.
Resource details -
reSolve: Geometry: Lunch Lap (Trial)
Two inquiry-based lessons where students are challenged to use Pythagoras' Theorem to optimise the path of a lunch cart.
Resource details