Shape and Space is all about the mathematical side of triangles, squares and that Pythagoras man.

These topics are for GCSE Maths Level.

You'll learn; Area, Volume, Circumference, Symmetry, Reflections, Translations, 3D Shapes, Plans, Elevations, Angles, Coordinates, Rotations, Pythagoras Theorem, Trigonometry, Vectors and other clever stuff.

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• 9
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What are the 3D shapes?

By Ryan McGuire on the 10th of January, 2013

Topics

 Calculate angles where circles are involved B Calculate average speeds from distance-time graphs C Calculate the area of a circle D Calculate the circumference of a circle D Calculate the distance between two points using their coordinates B Calculate the length of an arc and the area of a sector and a segment of a circle A Calculate the surface areas of cylinders, cones and spheres A Calculate the volume of prisms and cylinders C Calculate the volumes of cylinders, cones and spheres A Carry out accurate constructions, using ruler and compass C Classify a quadrilateral by its geometric properties C Construct an accurate locus C Construct and recognise the nets of 3-D shapes such as pyramids and triangular prisms D Convert between different units of area and volume C Describe fully, and carry out reflections in lines and rotations about any point C Discuss and interpret graphs modelling real situations B Draw a quadrilateral such as a kite or a parallelogram with given measurements D Draw and interpret maps and scale drawings D Draw plans and elevations of 3-D shapes D Enlarge a shape by a negative scale factor A Enlarge a shape by a positive integer scale factor D Enlarge a shape by any positive scale factor C Find the area and perimeter of compound shapes D Find the area of a triangle, parallelogram, kite and trapezium D Find the midpoint of a line segment C Find the volume of the frustum of a truncated cone A* Identify reflection symmetry in 3-D shapes D Interpret velocity-time graphs B Prove and use the circle theorems A Prove that angles in a triangle add up to 180 degrees C Reflect shapes in lines such as x = 2 or y = -1 D Reflect shapes in the lines y = x and y = -x C Solve loci problems C Solve problems involving perimeters and areas of circles C Solve problems involving similar triangles B Solve problems involving surface areas of prisms and cylinders C Solve problems involving the enlargement of areas and volumes A Solve problems using angle and symmetry properties of polygons C Solve problems using bearings D Solve problems using the properties of intersecting and parallel lines D Solve vector geometry problems A* Solve vector geometry problems by adding, subtracting or multiplying with vectors A Transform shapes by a combination of translation, reflection and rotation and know that area and angles are unchanged C Translate a shape by a vector C Translate a shape using directions D Understand and use compound measures such as speed and density C Understand and use coordinates in three dimensions C Understand the graphs of trigonometric functions for angles of any size A* Use congruent triangles to solve problems and to provide proofs A Use Pythagoras theorem C Use Pythagoras theorem in 3-D problems A Use Pythagoras theorem in practical problems C Use sin, cos and tan in a right-angled triangle B Use the cosine rule in any triangle A Use the sine rule in any triangle A Use trigonometry in three dimensions A* Work out the area of a triangle using sin A

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