Pythagoras and trigonometry

Chapter 90 of 26 strong

RESTS ONSigned numbersCH 2 Decimal place valueCH 1 Solve a one-step linear equationCH 2 Apply the unitary method to a rateCH 2

Finding the hypotenuse

Finding a shorter side

Pythagoras' theorem in 2D and 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

Not started yet

Practise this

RESTS ON

Substitute known values into a formula and evaluate it correctlyNot startedMultiplication and divisionNot started

UNLOCKS

Trace the boundary of a composite shape CH 1Compute a shorter side from the hypotenuse and the other leg CH 1Apply the curved-solid surface-area formulas CH 1Calculate the exact squared distance and then the distance between two points, retaining a surd internally and rounding only when asked CH 6Decide whether three given side lengths form a right-angled triangle: identify the longest side, compute the sum of the squares of the other two, compare it with the square of the longest side, and conclude right-angled exactly when they are equalFind a length in a described solid by chaining plane right-angled trianglesName each side of a right-angled triangle relative to a marked angle