Download Year 10 MATHS GCSE UNIT 3 OVERVIEW

Year 10 MATHS GCSE UNIT 3 OVERVIEW
This exam counts as 40% of your final GCSE and is 1 hour 30 mins.
It will take place in June 2013.
This is a CALCULATOR PAPER and is called “Geometry and Algebra”
TOPIC
Number work
CONTENT
 Revision of number work from Unit 2.
 Fractions, Decimals, Percentages, Ratio and proportion
Angles and
Angle sums including triangles and quadrilaterals
Shapes
Angles on parallel lines
Angles in polygons
Algebraic
Distinguish between expression, equation, formula and identity
manipulation
Simplify algebraic expressions including multiplying 2 brackets
and formulae
Substitution
Trial and
Identify integers above and below a solution, progressing to identifying
Improvement
solution to 1 dp.
Equations
Set up and solve linear equations and simultaneous equations including
where one is non linear
Solve quadratics using factorising, the formula and completing the
square
Coordinates and Use of axes including 3D
graphs
Understand and use y = mx + c and find intersection of 2 lines and a line
and a quadratic
Sketch and recognise cubic, 1/x, kx and trigonometric graphs
Perimeter, area Calculate perimeters and areas of quadrilaterals, triangles and compound
and volume
shapes
Calculate area and circumference of circles, lengths of arcs, sector
areas.
Calculate volumes of prisms, cubes and cuboids and more complex shapes
and solids, including spheres, pyramids and cones
Transformations Reflection, rotation, translation and enlargement
Understand the effect of enlargement on areas and volumes
Understand and use congruence and similarity.
Measures
Convert measurements from one unit to anther including imperial units
Understand and use maps and scale drawings, bearings and compound
measures
Quadratics
2D and 3D
shapes
Circle Theorems
Pythagoras’
Theorem
Trigonometry
Vectors
Construct quadratic graphs and interpret them in real situations
Find approximation solutions to simple quadratic functions
Transformation of functions
Use 2D representations of 3D shapes
Construct triangles and other2D shapes using ruler and protractor
Use ruler and compasses to do constructions
Construct loci
Understand the words centre, radius, diameter, circumference, tangent,
arc, sector, segment.
Know and use circle theorems.
Simple geometric proofs
Use Pythagoras’ Theorem in 2D and 3D problems
Use sine, tan and cosine in right angled triangles
Use the sine and cosine rules to solve 2d and 3D problems
Understand and use vector notation
Represent graphically the sum of 2 vectors, the difference and scalar
multiple.
Calculate the resultant of 2 vectors, solve simple geometrical problems
Recognise when vectors are parallel or collinear.