Mathematics

Mathematics
In the Mathematics Department at St Margaret Ward Catholic Academy we see motivated and enthusiastic staff and students, where through a robust system of support every member feels successful. Staff model the ethos of inspiration, persistence and collaboration and students feel safe and are encouraged to take risks with their learning. All learners demonstrate a high level of confidence, enjoyment and pride in their work and we consistently demonstrate respect for one another. Vibrant learning results in excellent progress and we apply and problem solve with resilience and perseverance. Through the use of timely and effective feedback, clearly staged success criteria and an insistence of correct mathematical notation and conventions, students are guided towards a secure and accurate methodology, allowing them to become mathematically literate and achieve their potential in an ever changing society.

Key Stage 3 Curriculum for 2018

Students are taught in largely mixed ability groups in Year 7 and 8 to encourage an atmosphere of achievement for all. Students are stretched and challenged through a mastery curriculum which focuses on depth of understanding. Assessments happen each half term and test students are the content that they have covered up until that point.

The work in Maths is divided up into the areas of number, shape, algebra and statistics. Initially lessons are focused on knowledge acquisition, ensuring all pupils leave KS3 with a solid understanding of the key mathematical concepts. Lessons challenge students by delving deeper into concepts and interweaving previously learnt skills to keep knowledge fresh. Problem solving is only introduced when students are ready and have the necessary skills to be successful.

Students follow a sequential Scheme of Learning which builds on previously learnt concepts with starter activities recapping prior learning.

 

 

Year 7

Year 7 Top and Year 8

Year 8 Top

1

4 Operations

Expressions and formulae

Pythagoras

2

Expressions and formulae

Sequences

Expressions and formulae

3

Sequences

Angles

Sequences

4

Angles

Equations and inequalities

Angles

5

Fractions

2D Shape

Equations and inequalities

6

Equations

Algebraic graphs

Present and interpret data

7

Present and interpret data

Transformations

2D shapes

8

2D shape

Present and interpret data

Algebraic graphs

9

Decimals and estimation

Percentages

Transformations

10

Present and interpret data

Probability

Decimals and estimation

11

Percentages

Indices

Present and interpret data

12

Probability

3D shape

Percentages

13

Properties of number

Measures

Probability

14

Measures

Ratio

Indices

15

Ratio

Constructions

3D Shape

16

 

 

Measures

17

 

 

Ratio

18

 

 

Constructions

Key Stage 4 Curriculum 

Students study for OCR GCSE J560.

Aims and learning outcomes OCR’s GCSE (9–1) in Mathematics enables learners to:

• develop fluent knowledge, skills and understanding of mathematical methods and concepts

• acquire, select and apply mathematical techniques to solve problems

• reason mathematically, make deductions and inferences and draw conclusions

• comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

 

GCSE Foundation 1-5 GCSE Higher 4-9
Unit Unit Unit Unit Title/content
1 Number 1 Number inc LCM, HCF;  a number as product of prime factors 1 Number 1 Multiples, factors, primes;  Laws of indices(inc fraction & negative; Standard form; surds
2 Algebra 1 Algebraic Expressions inc substitution, expansion & factorisation 2 Algebra 1 Expressions- substitution, expansion, factorising; Algebraic fractions
3 Geometry & Measures 1 Angles inc parallel lines, bearings & polygons 3 Geometry and Measures 1 Angles inc parallel lines, polygons, bearings; Circle Theorems
4 Data Handling 1 Averages & Range 4 Data Handling 1 Statistics inc data collection/sampling; Averages & range & grouped data; Scatter diagrams; Time series
5 Number 2 Decimals inc estimation, upper & lower bounds 5 Number 2 Fractions & Decimals inc upper & lower bound calculations
6 Geometry & Measures 2 2D Shapes-area & perimeter inc parts of a circle (arc, sector, segment) 6 Geometry and Measures 2 2D Shapes- perimeter & area including parts of circle (arc, sector, segment)
7 Algebra 2 Solve Equations inc quadratics 7 Algebra 2 Linear Equations & Graphs inc algebraic & graphical solutions of linear simultaneous equations
8 Number 3 Fractions 8 Number 3 Percentages inc use of multiplier (exponential growth & decay); Reverse percentages
9 Geometry & Measure 3 Transformations(inc fraction sf);  Symmetry; Similar shapes 9 Geometry and Measures 3 Transformations inc negative and fractional scale factor enlargement
10 Algebra 3 Formulae inc substitution; change of subject; distinguish equation, formula, expression , identity 10 Algebra 3 Formulae & Sequences – substitution & transpose formulae; nth term of linear & quadratic sequences
11 Number 4 Percentages inc use of multiplier; compound interest 11 Geometry and Measures 4 Trigonometry 1 inc Pythagoras & 3D shapes
12 Data Handling 2 Presenting data inc pie chart, scatter diagram, frequency polygon, time series 12 Data Handling 2 Statistics 2 inc cumulative frequency & box plots; Histograms
13 Geometry & Measure 4 Volume & Surface Area of 3D Shapes inc sphere & pyramids 13 Geometry & Measure 5 3D Shapes- Surface Area & Volume of prisms. pyramids & spheres and the frustum
14 Algebra 4 Sequences inc geometric; nth term of linear sequence 14 Algebra 4 Algebraic Graphs inc quadratic, cubic, reciprocal, exponential
15 Number 5 Ratio & Proportion (direct and inverse) 15 Number 4 Ratio & Proportion inc direct & inverse  & graphs
16 Algebra 5 Algebraic Graphs- linear, quadratic, cubic and reciprocal 16 Geometry & Measure 6 Loci, Constructions & Congruence
17 Geometry & Measure 5 Measure inc compound; conversion of measure, graphs 17 Algebra 5 Inequalities inc graphical solutions
18 Algebra 6 Inequalities- notation, on a line, solve 18 Data Handling 3 Probability
19 Number 6 Powers & Roots inc rules for indices & standard form 19 Algebra 6 Further Factorising Quadratics inc complete the square; Manipulate & simplify algebraic fractions
20 Geometry & Measure 6 Pythagoras Theorem and Trigonometry 20 Geometry & Measure 7 Trigonometry 2 inc sine/cosine rule, trig graphs, area formula
21 Data Handling 3 Probability 21 Algebra 7 Solve Quadratic Equations inc factorising, completing square, formula; Equations with fractions
22 Geometry & Measure 7 Constructions  Loci Congruence 22 Geometry & Measure 8 Similar Shapes inc length, area and volume
23 Algebra 7 Solve Simultaneous Equations – algebraic & graphical methods 23 Algebra 8 Simultaneous Equations -linear/quadratic equations; Equation of circle; Equation of tangent
24 Algebra 8 Vector Geometry 24 Geometry & Measures 9 Vectors in solve geometric problems
25 Algebra 9 Transformation of  Functions inc trigonometric graphs

 

Key Stage 5 Curriculum

The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally-examined papers.

Pearson has provided a large data set, which will support the assessment of Statistics in Paper 3: Statistics and Mechanics. Students are required to become familiar with the data set in advance of the final assessment.

Assessments will be designed in such a way that questions assume knowledge and understanding of the data set. The expectation is that these questions should be likely to give a material advantage to students who have studied and are familiar with the data set.

Students must complete all assessment in May/June in any single year.

Overarching theme 1: Mathematical argument, language and proof

Overarching theme 2: Mathematical problem solving

Overarching theme 3: Mathematical modelling

Qualification aims and objectives

The aims and objectives of this qualification are to enable students to:

● understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study

● extend their range of mathematical skills and techniques

● understand coherence and progression in mathematics and how different areas of mathematics are connected

● apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general

● use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly

● reason logically and recognise incorrect reasoning

● generalise mathematically

● construct mathematical proofs

● use their mathematical skills and techniques to solve challenging problems that require them to decide on the solution strategy

● recognise when mathematics can be used to analyse and solve a problem in context

● represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them

● draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions

● make deductions and inferences and draw conclusions by using mathematical reasoning

● interpret solutions and communicate their interpretation effectively in the context of the problem

● read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding

● read and comprehend articles concerning applications of mathematics and communicate their understanding

● use technology such as calculators and computers effectively and recognise when their use may be inappropriate

● take increasing responsibility for their own learning and the evaluation of their own mathematical development.