- Mathematics
- Year 9
Pythagoras' Theorem and Trigonometry
approx. 9 hrs
5 topics
19 concepts
Become proficient with Pythagoras' Theorem and acquire the knowledge in Trigonometry you need to succeed.
approx. 9 hrs
5 topics
19 concepts
Become proficient with Pythagoras' Theorem and acquire the knowledge in Trigonometry you need to succeed.
Pythagoras' Theorem and Trigonometry are essential techniques used to solve problems with right-angled triangles. In this learning program, students become competent in solving questions using the theory and processes of trigonometry with right-angled triangles. Students recall and apply the appropriate rules of Trigonometry to find unknown sides and angles, including applications of bearings and 3D trigonometry to problems.
This learning program is made up of the following 5 topics, broken down into 19 concepts.
Solve a variety of practical problems involving Pythagoras' theorem
Use Pythagoras' theorem to find the length of an unknown side in a right-angled triangle
Use Pythagoras' theorem to find the length of the hypotenuse side in a right-angled triangle
Review Pythagoras theorem
Define the sine, cosine and tangent ratios for angles in right-angled triangles
Identify the hypotenuse, adjacent sides and opposite sides on a right angles triangle
Rounding angles to the nearest degree, minute or second
Rounding angles to the nearest degree, minute or second
Find the size in degrees of unknown angles using SOH CAH TOA in right-angled triangles
Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees
Use the calculator to find unknown angles using sine, cosine and tangent functions
Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees and minutes
Find the size in degrees and minutes of unknown angles using SOH CAH TOA in right-angled triangles
Construct a bearing diagram from a worded problem
Calculate a bearing from a given diagram
Apply Pythagoras' Theorem to 3D problems
Interpret three-figure (or true) bearings and compass bearings
Solve worded problems involving bearings using SOH CAH TOA
Solve a variety of practical problems involving angles of elevation and depression of right-angled triangles
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