Related Learning

Stage 3

Two-Dimensional Space:

• identify and name parts of circles (centre, radius, diameter, circumference, sector, semicircle, quadrant)

Angles:

• describe angle size in degrees for each angle classification (acute, right, obtuse, straight, reflex)
• identify and name angle types formed by the intersection of straight lines (angle on straight line, angle at a point, vertically opposite angles)

Stage 4 & 5

Algebraic Techniques:

• generalise number properties to operate with algebraic expressions [S4 Algebraic Techniques 1]

Equations:

• use algebraic techniques to solve simple linear and quadratic equations [S4 Equations]

Ratios:

• operate with ratios and rates, and explore their graphical representation [S4 Ratios and Rates]

Length:

• calculate the perimeter of plane shapes and the circumferences of circles [S4 Length]

Right-Angled Triangles (Pythagoras & Trigonometry):

• apply Pythagoras' theorem to calculate side lengths in right-angled triangles, and solve related problems [S4 Right-Angled Triangles (Pythagoras)]
• apply trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression [S5.1 Right-Angled Triangles (Trigonometry)]

Properties of Geometrical Figures:

• classify, describe and use the properties of triangles and quadrilaterals [S4 Properties of Geometrical Figures 1]
• determine congruent triangles to find unknown side lengths and angles [S4 Properties of Geometrical Figures 2]
• calculate the angle sum of any polygon and use minimum conditions to prove triangles are congruent or similar [S5.2 Properties of Geometrical Figures]
• prove triangles are similar, and use formal geometric reasoning to establish properties of triangles and quadrilaterals [S5.3 Properties of Geometrical Figures]

Angle Relationships:

• identify and use angle relationships, including those related to transversals on sets of parallel lines [S4 Angle Relationships]