Key Stage 4

YEAR 10

AUTUMN 1a 

SHAPE

AUTUMN 1B

ALGEBRA

SPRING 2A

DATA

SPRING 2B

SHAPE

SUMMER 3A

ALGEBRA

SUMMER 3B

NUMBER

All students to cover
Constructions Inequalities

Dealing with bar charts

Area and volume revisited Substitution including SUVAT Revisit powers and roots
Loci

Solving quadratic equations (by factorisation)

Time series Arcs, sectors Simple algebraic proof Inverse proportion
Congruence and similarity Functions (input/output) Sampling Volume of cuboid, prism, cylinder, composite solids nth term of linear sequences Proportional reasoning
Solving linear simultaneous equations algebraically YEAR 10 TEST 1 Probability combined events (tree diagrams) Surface area and volume of pyramids, cones and spheres (including exact answers) Standard non-linear sequences YEAR 10 EXAMS
MATHS WEEK   Venn diagrams YEAR 10 TEST 2    
Additional Higher content
Geometric proof with topics covered so far Solving quadratic equations (by completing the square and the quadratic formula) Histograms (unequal classes) Complex/combined areas and volumes Complex algebraic proof Manipulating surds
Circle theorems  Turning points of quadratic graphs Conditional probability Similar areas and volumes nth term of quadratic sequences “Formal” inverse proportion with powers etc.
  Quadratic inequalities   Area of segments using trigonometry and Pythagoras. Recurrence relations Fractional indices
  Functions and their inverses     Iteration Growth and decay
  Composite functions     Geometric progressions  
Links to previous/future topics
Revisit shape properties when doing constructions e.g. linking perp. bisector to rhombus Use Pythagoras/area of trapezium etc. to form quadratic equations Revisit averages Revisit rounding to dp/sf and bounds Revisit directed number Revisit direct proportion, ratio and similarity
  Revisit solving by graphical methods Use Venn diagrams  to revisit HCF/LCM Revisit nets, plans and elevations with surface area Link nth term to  
      Revisit density with volume problems Revisit rearranging/solving equations  

YEAR 11

AUTUMN 1a 

ALGEBRA

AUTUMN 1B

SHAPE

SPRING 2A

MOCKS & NUMBER

SPRING 2B

 

SUMMER 3A

 

(SUMMER 3B)

 

All students to cover
Equations of parallel lines Angles revisited Review and revision Review and revision Review and revision Examinations
Forming and solving linear simultaneous equations Bearings (revisit trigonometry) Standard index form Re-Mock Exam in class    
Cubic and reciprocal graphs Geometric proof Mock Exams      
MATHS WEEK Vectors        
  Pre-Mock Exams        
Additional Higher content
Equations of perpendicular lines 3-D trigonometry and Pythagoras’ theorem Gradients of curves and areas under graphs Review and revision Review and revision Examinations
Simultaneous equations where one is linear, one quadratic Sine/cosine rule and½absinC Algebraic fractions      
Equation of a circle and tangent to a circle Arcs, sectors revisited Review and revision      
Transformation of graphs Segments introduced using ½absinC        
  Vector proofs        

UKMC success and enrichment

Like most schools we enter the most able students for the UKMT individual and group challenges. Unlike many schools, our students do so well we always a few have entries for the subsequent rounds too.