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Year 9 Mathematics
Pythagoras and trigonometry
Chapter 3
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RESTS ON
Signed numbers
CH 1
Decimal place value
CH 1
Simplify a fraction
CH 1
Solve two-step linear equations by inverse operations in reverse order
CH 2
Identify and place an angle of elevation or depression
FOUNDATIONS
Apply the unitary method to a rate
CH 1
Finding the hypotenuse
Pythagoras' theorem in 2D
Pythagoras' theorem in 3D
Trigonometric ratios
Unknown side in the numerator
Unknown side in the denominator
Finding angles with trigonometry
Elevation and depression
Bearings and navigation
Identify the hypotenuse and compute it from the two shorter sides
Compute a shorter side from the hypotenuse and the other leg
State an unknown side exactly as a surd
Rounding
Substitute known values into a formula and evaluate it correctly
Multiplication and division
Convert between units
Translate a practical description into a labelled right-triangle model
Find a length in a described solid by chaining plane right-angled triangles
Name each side of a right-angled triangle relative to a marked angle
State the exact trigonometric ratios from the named side lengths
Select the ratio that links the two involved sides
Evaluate sin, cos or tan of a stated angle at a stated precision
Find an unknown side in the numerator of a trigonometric ratio
Find an unknown side in the denominator of a trigonometric ratio
Recover an angle from the value of a trigonometric ratio
Find a marked angle from two sides of a right-angled triangle
Solve an elevation or depression situation for a side or angle
Solve a two-stage situation involving two related right triangles
Solve a modelled right triangle and answer in context
Convert between compass descriptions and three-figure bearings
Find the bearing of the return direction
Model and solve a journey leg as a right-angled triangle