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PHILOSOPHY & VISION
PHILOSOPHY & VISION
“Mathematics is, in its way, the poetry of logical ideas.” – Albert Einstein
“Mathematics is, in its way, the poetry of logical ideas.” – Albert Einstein
Studying maths provides our students with the opportunity to develop fluent knowledge, skills and understanding of mathematical methods and concepts. We ensure students acquire, select and apply mathematical techniques to solve problems, within mathematical and non-mathematical contexts. By providing opportunities to reason mathematically, draw conclusions and communicate mathematical information, we prepare students for further study and their future career.
We recognise certain priorities for the students and we aim to develop, alongside mathematic knowledge and skills,the communication and literacy skills to communicate these effectively. To support this we must develop the cultural capital (PSHE and broader curriculum lessons), particular around personal finance the workplace. We therefore to intend to contextualise and relate the mathematics to their future; ensuring students are aware of opportunities to take Mathematics further.
Sigma KS3 Maths Learning Journey.pdfMaths is the hidden secret to understanding the world
Maths is the hidden secret to understanding the world
Year 7
Year 7
Arithmetic Procedures - four basic operations (+,-,x,÷) , multiplying and dividing decimals and applying this knowledge to area and perimeter.
Multiplicative Reasoning – Introduction to ratio, discovery of how to share equitably and identify best buys.
Algebraic Manipulation – Algebraic notation, simplifying algebra and substitution. Applying these concepts to solving equations
Geometrical Properties – Identification of 2D and 3D shapes. Introduction to angles on a line and at a point. Application of this to 3 and 4 sided shapes. Symmetry
Year 8
Year 8
Multiplicative Reasoning – Discovery of the relationship between speed, distance and time and velocity/ time graphs
Geometrical Properties – Surface area and volumes of cuboids and cylinders
Algebraic Manipulation – Expanding and factorising, drawing straight line graphs, rearranging, solving by balancing.
Arithmetic Procedures – Factors & multiples, indices laws, ordering decimals.
Year 9
Year 9
Multiplicative Reasoning – percentage increase/ decrease with and without calculators, compound interest, direct and indirect proportion
Geometrical Properties – angles in parallel lines, angles in isosceles and equilateral triangles, bearings, loci, constructions
Algebraic Manipulation – simplifying and solving with powers and roots, fractional and negative powers, function machines, rearranging, double and triple brackets.
Year 10
Year 10
Statistical Analysis – probability and its application to tree diagrams, cumulative frequency and box plots, sampling, capture recapture, histograms
Geometrical Properties – angles in polygons, similar shapes, vectors and circle theorems. Surface area and volume of cones, spheres and frustums.
Graphical Representations – drawing linear, quadratic and cubic graphs. Being able to recognise graph shapes. Drawing scatter graphs, conversion graphs and Venn diagrams. Circle Theorems. Graphs of trig functions.
Year 11
Year 11
Multiplicative Reasoning – proportional work problems, recipe problems, exchange rates. Reading from meters
Algebraic Manipulation – algebraic fractions, expanding and factorising quadratics, difference of two squares, proof, functions and their inverses.
Arithmetic Procedures – gradients and areas under graphs, Highest Common Factor and Lowest Common Multiple, mixed and improper fractions, lower and upper bounds, product rule, surds, series.
Geometrical Reasoning – trigonometry, Pythagoras Theorem, midpoint of a line, equation of a circle, perpendicular lines.
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