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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:
use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles
apply trigonometry to solve right-angled triangle problems.
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
MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
Students will:
identify right-angled triangles with equal reference angles as similar
investigate and determine that ratios of matching sides of similar right-angled triangles are equal.
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
MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
Students will:
use the terminology, hypotenuse, adjacent and opposite sides
explore the ratios between the opposite, adjacent and hypotenuse in similar right-angled triangles
use the names sine (sin), cosine (cos) and tangent (tan) to refer to the ratios between the sides in right-angled triangles
identify the appropriate equation to use to find the missing information.
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
MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
Students will:
solve trigonometric equations when the missing side length is the numerator in the ratio of sides
solve trigonometric equations when the missing side length is the denominator in the ratio of sides.
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
MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
Students will:
be introduced to inverse trigonometric functions
use inverse trigonometric functions to find the missing angle in trigonometric equations
apply skills to find missing sides and angles in right-angled 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
MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings
Resource evaluation
Resource evaluation
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