Download St Peter`s Academy Mathematics Department

St Peter’s Academy
Mathematics Department
Secondary National Curriculum KS3 - Mathematics
Mathematics has a statutory programme of study at Key Stage 3. The study of
Mathematics at KS3 should include:
3.1 Number and algebra
a. rational numbers, their properties and their different representations
b. rules of arithmetic applied to calculations and manipulations with rational numbers
c. applications of ratio and proportion
d. accuracy and rounding
e. algebra as generalised arithmetic
f. linear equations, formulae, expressions and identities
g. analytical, graphical and numerical methods for solving equations
h. polynomial graphs, sequences and functions
3.2 Geometry and measures
a. properties of 2D and 3D shapes
b. constructions, loci and bearings
c. Pythagoras’ theorem
d. transformations
e. similarity, including the use of scale
f. points, lines and shapes in 2D coordinate systems
g. units, compound measures and conversions
h. perimeters, areas, surface areas and volumes
3.3 Statistics
a. the handling data cycle
b. presentation and analysis of grouped and ungrouped data, including time series and lines of
best fit
c. measures of central tendency and spread
d. experimental and theoretical probabilities, including those based on equally likely outcomes.
Secondary National Curriculum KS4 - Mathematics
Mathematics has a statutory programme of study at Key Stage 4. The study of Mathematics at
KS4 should include:
3.1 Number and algebra
a. real numbers, their properties and their different representations
b. rules of arithmetic applied to calculations and manipulations with real numbers, including
standard index form and surds
c. proportional reasoning, direct and inverse proportion, proportional change and exponential
growth
d. upper and lower bounds
e. linear, quadratic and other expressions and equations
f. graphs of exponential and trigonometric functions
g. transformation of functions
h. graphs of simple loci.
3.2 Geometry and measures
a. properties and mensuration of 2D and 3D shapes
b. circle theorems
c. trigonometrical relationships
d. properties and combinations of transformations
e. 3D coordinate systems
f. vectors in two dimensions
g. conversions between measures and compound measures.
3.3 Statistics
a. the handling data cycle
b. presentation and analysis of large sets of grouped and ungrouped data, including box plots and
histograms, lines of best fit and their interpretation
c. measures of central tendency and spread
d. experimental and theoretical probabilities of single and combined events.
EDEXCEL Board GCSE MATHS A (Linear) and MATHS B (Linear)
Knowledge and understanding
Edexcel GCSE in Mathematics A/B qualification requires students to:
 Develop knowledge, skills and understanding of mathematical methods and
concepts, including:
o Number
o Algebra
o Geometry
o Measures
o Statistics
o Probability
 Use their knowledge and understanding to make connections between mathematical
concepts
 Apply the functional elements of mathematics in everyday and real-life situations
Skills
Edexcel GCSE in Mathematics A/B gives students the opportunity to develop the ability to:
 Acquire and use problem-solving strategies
 Select and apply mathematical techniques and methods in mathematical, every day and
real-world situations
 Reason mathematically, make deductions and inferences and draw conclusions
 Interpret and communicate mathematical information in a variety of forms appropriate to
the information and context.