Embedded Files
This is the teacher notes page identifying the outcomes addressed in these lessons. Copy each lesson link and send it to your students. For printable versions of these materials log into the teacher information section of the Department of Education.
Introduction
Introduction
Students will:
read, interpret and communicate directions, using bearings
apply trigonometry to determine distances between locations in a northerly, southerly, easterly or westerly direction
use the sine and cosine rules to calculate missing pieces of information in triangles.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures
MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently
MA5.3-15MG applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions
Students will:
read compass and true bearings
interpret compass and true bearings to solve problems using trigonometry
calculate return bearings
use return bearings to determine location.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
Students will:
understand the relationship between angles of a triangle and the side length opposite
understand the conditions for using the sine rule
use the sine rule to calculate missing side lengths
use the sine rule to calculate missing angles.
Outcomes:
MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures
MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently
MA5.3-15MG applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions
Students will:
understand the conditions for using the cosine rule
use the cosine rule to calculate missing side lengths
use the cosine rule to calculate missing angles.
Outcomes:
MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures
MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently
MA5.3-15MG applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions
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