Level 3: Angles and lines

Geometry · level 3 of 8 · rough age 9-10 (a guide for parents; anyone can start anywhere)

An angle is an amount of turning, and once you can measure turning in degrees, a whole world of shapes opens up. This level starts with turns you already know (quarter, half and full turns), gives them numbers with a protractor, and then uses them to sort lines, triangles and four-sided shapes into families. It ends with coordinates: two numbers that pin down any point on a grid.

Lesson	You will be able to
What an angle is	See an angle as a turn, and name right, acute, obtuse, straight and reflex angles
Measuring angles with a protractor	Measure and draw angles in degrees, read the right scale, and explain why a full turn is 360°
Parallel and perpendicular lines	Recognise, test and draw parallel and perpendicular lines, and use the ∥ and ⊥ signs
Triangles by sides and by angles	Name any triangle by its sides and its angles, and explain why no triangle has two right angles
The quadrilateral family tree	Sort squares, rectangles, rhombuses, parallelograms, trapezoids and kites, and say which is a special case of which
Coordinates: finding points on a grid	Read and plot points (along, up), measure along grid lines, and find a missing corner of a shape

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