Year 11 Curriculum  Maths

Topic 
Mastery Objectives 
Essential Knowledge 
Autumn Term (1^{st} Half term) 

Perimeter, area and circles 
· Calculate perimeters and areas of composite shapes made from circles and parts of circles (including semicircles, quartercircles, combinations of these and also incorporating other polygons); · Calculate arc lengths, angles and areas of sectors of circles; · Give answers in terms of π; · Form equations involving more complex shapes and solve these equations. 
· Recall and use the formulae for the area of a triangle, rectangle, trapezium and parallelogram using a variety of metric measures 

3D forms and volume, cylinders, cones and spheres 
· Calculate surface area and volume of spheres, pyramids, cones and composite functions 
· Know the formulae for the volume of a sphere, cone and pyramid · Know the formulae for the surface area of a sphere, a cone and a pyramid 


Accuracy and bounds 
· Apply and interpret limits of accuracy, including upper and lower bounds 


Collecting data 
· Infer properties of populations or distributions from a sample 
· Know the limitations of sampling 
Autumn Term (2^{nd}Half term) 

Cumulative frequency, box plots and histograms 
· Construct and interpret cumulative frequency graphs · Interpret, analyse and compare box plots · Interpret, analyse and compare the distributions of data through measures of spread and quartiles and interquartile range · Construct and interpret histograms with equal and unequal class intervals 
· Know the appropriate use of cumulative frequency graphs · Know appropriate use of box plots · Know appropriate use of histograms · Know interquartile range = upper quartile – lower quartile · Know how to construct a box plot 

Graphs of trigonometric functions 
· Sketch or plot and interpret graphs of y = sin x, y = cos x, y = tan x 
· Know the graphs of the trigonometric functions y = sin x, y = cos x, y = tan x for angles of any size 

Further trigonometry 
· Apply the trigonometric ratios in three dimensional figures · Apply the sine rule and cosine rule to find unknown lengths and angles · Apply the sine rule for area to calculate the area, sides or angles of any triangle 
· Know the sine rule and the cosine rule a^{2} = b^{2} + c^{2} 2bc cos A · Know area = ½ absinC 


Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics 
· Expanding brackets of more than two binomials · Deduce turning points of quadratic functions by completing the square · Sketch translations and reflections of a given function 
· Know the meaning of roots, intercepts and turning points 
Spring Term (1^{st} Half term) 

Circle theorems 
· Apply the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results 
· Know the circle theorems 

Circle geometry 
· Apply concepts of rate of change (gradient of chords and tangents) in numerical, algebraic and graphical contexts · Recognise and use the equation of circle with centre origin · Find the equation of a tangent to a circle at a given point 

Changing the subject of formulae (more complex), rationalising surds, proof 
· Calculate exactly with surds and rationalise denominators · Rearrange the subject of a formulae with multiple step or where the subject appears twice · Interpret the reverse process as an inverse function · Interpret the reverse process as the ‘inverse function’ 

Spring Term (2^{nd} Half Term) 

Vectors and geometric proof 
· Apply addition and subtraction of vectors, multiplication of vectors by a scalar and diagrammatic and column representations of vectors · Use vectors to construct geometric arguments and proofs 

Reciprocal and exponential graphs; Gradient and area under graphs 
· Plot and interpret graphs of nonstandard functions in real life contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration · Sketch or plot and interpret exponential and reciprocal graphs · Calculate or estimate gradients of graphs are areas under graphs and interpret results in such cases such as distancetime graphs, velocitytime graphs and graphs in financial contexts 
· Know that graphs of exponential functions y = k^{x} for positive values of k · Know the characteristic shape of the graph of an exponential function · Know the definition of acceleration 

Direct and inverse proportion 
· Interpret and construct equations that describe direct and inverse proportion 
· Understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y · Know how to set up an equation involving direct or inverse proportion · Recognise graphs that illustrate direct and inverse proportion 