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Knowledge Base: Mathematics TOPIC 9: Understanding 2D Shapes Year 7 | Summer Term 1
By the end of this topic you should be able to:
• Recognise and name the different types of angle
• Measure and draw angles to the nearest degree
• Accurately draw shapes with a ruler and protractor
• Use angle facts
• Know the different types of triangle and their angles
• Name the different types of quadrilateral
• Know the properties of quadrilaterals
Angle
Triangle
A measure of turn, given in degrees
A 2D shape with 3 straight sides and 3 angles
90° is a quarter turn or right angle
Language
Meaning
Example
Acute Obtuse Reflex
Less than 90° from 90° to 180° From 180° to 360°
Equilateral Isosceles Scalene
Important things to remember:
1) A full turn is 360°
2) A half turn or straight line is 180°
3) A quarter turn or right angle is 90°
4) The angles in a triangle always add to 180°
5) The angles in a quadrilateral always add to 360° 6) Use the right scale on your protractor (see below)
Parallel
All equal angles 2 equal angles No equal angles
Lines which are always the same distance apart
Perpendicular
Lines which meet at right angles
Quadrilateral
Polygon
A 2D shape with 4 straight sides and 4 angles
A 2D shape with 3 or more sides
Rectangle, square, rhombus, parallelogram, trapezium, kite, arrowhead
Pentagons (5), hexagons (6) and octagons (8) are all examples
Worked examples
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