Angles

Singapore P6 Angles — the three number facts (a straight line is 180°, a point is 360°, vertically opposite angles are equal), then the questions that need a second step: a right angle used as a given, an unknown written as a multiple, a remainder shared between equal angles, and angles set out as a ratio. Every question comes with a figure, and every figure is not drawn to scale — these are found, never measured.

What the PSLE asks about angles

P6 angles rests on three facts: angles on a straight line add up to 180 degrees, angles at a point add up to 360 degrees, and vertically opposite angles are equal. The harder questions need a second step, such as a right angle given in the figure, an unknown written as a multiple, or angles set out as a ratio. In the PSLE Math paper every figure is not drawn to scale, so angles are found by reasoning and never measured.

The most common way to lose marks is not a slip of subtraction, it is using the wrong fact: 360 on a straight line, or 180 at a point. A figure that looks as though it ought to be a certain size invites a guess, and the guess is usually wrong.

Choosing the fact first, rather than trusting the picture

The first lesson trains a pupil to name the fact before touching a number. Is the angle on a line, at a point, or opposite another? Once that is said, the subtraction is routine.

The second lesson takes the same facts into questions where the answer is not a single subtraction, and shows how a given right angle, a multiple, a remainder shared between equal angles or a ratio changes the first step without changing the principle.

What comes with the course

The two lessons below carry the teaching, each with a worked example, and a free account is enough to read them. The practice that follows is where the repetition happens: multiple-choice, short-answer and structured questions in the style of the paper, which a pupil can attempt as often as they like, at any hour.

There are 23 timed topic tests for rehearsing under exam conditions, so that a method that works at the kitchen table can be seen to hold when the clock is running.

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