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. Suggestions are made throughout the lesson with respect to opportunities for exploration, questioning and reflection.
Additional details 

Year level(s)  Year 8 

Audience  Teacher 
Purpose  Teaching resource 
Format  Web page 
Teaching strategies and pedagogical approaches  Questioning, Explicit teaching, Concrete Representational Abstract model, Worked examples, Classroom talks 
Keywords  Cartesian plane, algorithms, Maths Hub lesson plan 
Curriculum alignment 

Curriculum connections  Critical and creative thinking 
Strand and focus  Number, Measurement, Space 
Topics  Pythagoras and trigonometry, Computational thinking 
AC: Mathematics (V9.0) content descriptions 
AC9M8N01
Recognise irrational numbers in applied contexts, including square roots and Π
AC9M8M06
Use Pythagoras' theorem to solve problems involving the side lengths of rightangled triangles
AC9M8SP04
Design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works 
Numeracy progression 
Understanding geometric properties (P7)
Understanding units of measurement (P10) Multiplicative strategies (P9) Proportional thinking (P6) 
Copyright details 

Organisation  Commonwealth of Australia 
Copyright  © 2024 Commonwealth of Australia. Creative Commons BY 4.0. 
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