Learning Objectives—Pythagoras and Trigonometry

From Teach

Key Learning Objectives
  • Pythagoras' Theorem:
    • Identify the hypoteneuse of a right-angled triangle.
    • Recall Pythagoras' Theorem.
    • Use Pythagoras' Theorem to find the length of any side of a right-angled triangle.
  • Further work with Pythagoras' Theorem:
    • Pick out right-angled triangles from diagrams (e.g. circles, isosceles triangles).
    • Use Pythagoras' theorem to solve problems such as bearins, areas of triangles, diagonals of rectangles etc.
  • Sine, Cosine, Tangent:
    • Use the SIN, COS and TAN keys on a calculator.
    • Identify the sides of the right-angled triangle as hypoteneuse, adjacent and opposite.
    • Recall the ratios for sin, cos and tan, perhaps using SOHCAHTOA mnemonic.
  • Finding Lengths in Right-Angled Triangles:
    • Use the appropriate ratio.
  • Finding Angles in Right-Angled Triangles:
    • Use the appropriate ratio to find angles.
  • Mixed Problems with Trigonometry:
    • Find angles of elevation and depression.
    • Apply trigonometric rations and Pythagoras's theorem to solve assorted problems, including bearings.
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