The mathematics curriculum will encourage students to use critical thinking skills and logical reasoning required for future education, training and employment.
Students will be equipped with the skills to make links with the wider curriculum and appreciate the impact and influence that mathematics has on their daily lives. Students will develop their fluency of numerical skills in order to confidently select the appropriate tools to solve problems in a reallife context.
YEAR 7
TERM 1 Number: An introduction to the number work students will need to access the Grace Academy Maths curriculum. Throughout lessons there will be lots of opportunities to problem solve and apply the topics to multiple contexts. Topics Include:  BIDMAS
 Adding/Subtracting/Multiplying and Dividing with positive and negative numbers
 Rounding to decimal places, significant figures and truncating
 Estimating calculations
 Multiplying and dividing with decimals
 Squares, Cubes, Roots, Indices introduction and its use in calculations
 Factors, multiples and primes including highest common factor, lowest common multiple and prime factorisation
 Adding/Subtracting/Multiplying and Dividing fractions including mixed numbers and improper
 Fractions of amounts and reciprocals
TERM 2
Perimeter/Area, Angles and Percentages: An introduction to geometry and a chance to apply their prior learning into new contexts. All of the previous number work will be developed into the geometry unit. Topics Include:  Perimeter of rectangles, parallelograms, triangles, trapeziums and compound shapes
 Area of rectangles, parallelograms, triangles, trapeziums and compound shapes
 Angles around a point, angles in triangles, quadrilaterals and other polygons
 Angles on parallel lines
 Converting between fractions, decimals and percentages
 Finding percentages of amounts, increasing and decreasing by a given percentage and application in reallife contexts
TERM 3 Ratio and Proportion and Algebra: Students will start to develop their proportional reasoning skills. These skills will play a vital part in the rest of their studies at Grace. Students will also be introduced to algebraic expressions and how we use letters to represent variables. Topics Include:  Simplifying ratios, dividing into given ratios
 The unitary method and proportional reasoning; application to recipe questions and realworld problems
 Writing algebraic expressions
 Collecting like terms
 Substituting into expressions
 Expanding brackets
 Factorising
 Introducing links between algebra and shapes
YEAR 8
TERM 1 Indices, Standard Form, Algebra, Volume and Surface Area: Students will develop their skills involving indices, build on their algebraic knowledge, and build on their area knowledge with volume and surface area. Topics include:  Multiplication/ Division and Power Laws of indices
 Writing to and from Standard Form
 Calculations in Standard Form
 Build on introductory algebraic skills
 Expand and simplify expressions with single brackets
 Volume of 3D shapes including cuboids, triangular prisms and cylinders
 Surface Area of 3D shapes including cuboids, triangular prisms and cylinders
TERM 2 Graphs, Equations, Construction, Ratio, Proportion, Probability and Sequences: Students will apply their algebraic skills to drawing graphs including distance/time graphs. Students will use geometric equipment to construct triangles and bisectors accurately. The ratio and proportion unit will develop key skills student need to use for many branches of maths Topics include:  Recognising and plotting straight line and curved graphs
 Solve linear equations
 Rearranging formulae
 Constructing triangles, perpendicular bisectors and angle bisectors
 Using ratio to solve problems
 Proportioning techniques linking to Speed, Distance, Time and Recipes
 Introduction to probability  Finding the probability of single events happening/ not happening
 Using experimental and theoretical probability
 Introduction to different sequences
TERM 3 Converting, Pythagoras and Statistics: Students will be able to convert between units of length, mass and capacity, apply Pythagoras’s theorem and learn how to represent and analyse data Topics include:  Metric conversions
 Upper/ Lower bounds
 Best buys
 Currency conversion
 Calculating missing sides using Pythagoras’s theorem
 Representing data on Frequency polygons, pie charts and Scatter Graphs
 Calculating averages from a list of data and frequency tables
YEAR 9
TERM 1 Expressions, Angles, Similar Shapes, Fractions, Decimals, Percentages, Ratio and Proportion: Students will consolidate some previous key concepts and apply them to solving more complex problems at Foundation GCSE level. (Higher topics are bracketed) Topics include:  Review index Laws
 Writing expressions from shapes
 Set up and solve equations
 (Algebraic Fractions – Add/ Subtract/ Multiply/ Divide and Simplify)
 Compare and convert between Fractions, Decimals and Percentages, Fractions of… Percentage of…
 Using percentage multipliers, simple/ compound interest, reverse %
 (Converting recurring decimals to fractions)
 Angles in parallel lines
 Interior/ Exterior angles of polygons
 Bearings
 (Congruent and similar shapes)
TERM 2 Formulae and Functions, Working in 2D, Probability with combined Events, Measures and Accuracy: Topics include:  Substituting into and rearranging formulae
 Expand double brackets and factorise into double brackets
 (Expand Triple Brackets, using function notation, AC method, Algebraic Proof)
 Mixed Areas
 Transformations – Reflection, Rotation, Translation, Enlargement
 (Negative Enlargements)
 Probability; Relative frequency, Venn diagrams and Tree diagrams
 (Set notation)
 Using appropriate accuracy, estimating calculations, using a calculator effectively
 Density, Mass, Volume
 Error Intervals
 (Upper and Lower bound calculations)
TERM 3 Solving Equations and Inequalities, Handling Data: Topics include:  Set up and solve equations
 Solve inequalities, represent on a number line
 Simultaneous equations
 (Solving Simultaneous equations and inequalities graphically. Quadratic inequalities. Equations involving indices)
 Mean from frequency table, Estimate of the mean from grouped frequency table
 (Quartiles, IQR, Cumulative Frequency, Box plots, Histograms)
YEAR 10
TERM 1 Equations, Inequalities, Prime factorisation, Pythagoras and Trigonometry, Calculations Topics include:  Equations revision
 Inequalities revision
 Simultaneous equations
 (Complex Simultaneous equations and inequalities graphically. Quadratic inequalities. Equations involving indices)
 Highest Common Factors/ Lowest Common Multiples, prime factorisation
 (Simplify/ Multiply/ Rationalise Surds)
 Indices, Standard form and Exact calculations
 (Fractional/ Negative powers, surd form)
 Use and apply Pythagoras and SOHCAHTOA
 Vectors introduction
 Exact Values of trigonometry
 (3D Pythagoras, Sine rule, Cosine rule, 1/2absinC)
 Vectors
 (Vector proofs)
TERM 2 Circles, Constructions and Graphs, Sequences: Topics include:  Compound shapes involving circles
 Constructing triangles, perpendicular and angle bisectors
 (Circle theorems, arc length/ sector area)
 Quadratic, cubic graphs
 Reading off graphs
 (Trigonometric, reciprocal, exponential, circle graphs. Tangent to a curve. Estimating an area under a velocity/time graph)
 Plotting straightlinear graphs, Y = mx + c
 Distance/Time graphs
 (Properties of quadratic graphs, roots, minimum points, completing the square, iterations)
 Using and finding an nth term of an arithmetic sequence
 Fibonacci, geometric sequences
 (Quadratic sequences)
TERM 3 Compound units and Proportion, Working in 3D, Sequences: Topics include:  Compound Units, Rates of change
 Scale factors of length
 (Proportion equations, scale factors of area and volume)
 Plans and elevations
 Volume/ surface area of prisms
 (Volume of a pyramid/ sphere)
YEAR 11 (Higher)
Year 11 students will continuously retrieve previous learning in order for them to remember more. The Key Learning topics interleave with previous learnt knowledge into their current learning preparing students thoroughly for GCSE examtype questions. TERM 1 Retrieval Practice  Error intervals, Compound interest/ Depreciation, solving mixed Ratio and Proportion problems
 Factorising quadratics (including AC method), Linear/ Quadratic nth terms, Solving Quadratic equations, Solving simultaneous linear equations
 Combined transformations, Angles on parallel lines, Similar triangle problems
 Reverse mean, Estimate of the mean, Cumulative frequency, Box plots
Key Learning  Number, Ratio, Proportion  Calculations involving Upper and Lower bounds
 Algebra  Complex rearranging, Functions – Inverse, Composite, Iterations, Direct and Inverse proportion equations, Algebraic proof, Rate of change (interpreting the gradient), Graphing linear inequalities
 Geometry  Scale factors  Length, Area, Volume, Area under a speed/time graph
 Statistics – Histograms; drawing and interpreting
TERM 2 Retrieval Practice  Interpreting pie charts, ratio and proportion problems, Bounds and their calculations
 Simplifying algebraic fractions, Finding the equation of a Straight line, Types of graphs – key points
 Circles/ Arcs/ Sectors, Trigonometry – rightangled triangles, Exact trigonometric values, 3D Pythagoras, Negative/ Fractional enlargement
 Drawing and interpreting histograms
Key Learning  Number, Ratio, Proportion  Product rule for counting
 Algebra  Equations from a given ratio, set up and solve simultaneous equations, Nonlinear simultaneous equations, Surds; Expanding, Rationalising the denominator, solving quadratic inequalities, set up and solve inequalities
 Geometry  Angles in a polygon, Problems involving Arcs/ Sectors, Circle theorems, Advanced Trigonometry – Sine rule, Cosine rule, Area of a triangle = 1/2abSinC
 Probability – Venn diagrams; Conditional probability
TERM 3 Retrieval Practice  Product rule for counting, Standard Form calculations,
 Equations from a given ratio, Surds, Nonlinear simultaneous equations
 Angles in a polygon, Circle theorems, Advanced Trigonometry – Sine rule, Cosine rule, 1/2abSinC
 Stem and leaf diagrams, Frequency polygons
Key Learning  Number, Ratio, Proportion  Capturerecapture
 Algebra  Equations of parallel and perpendicular lines, simultaneous equations graphically, solving quadratic equations from graphs, solving exponential equations, Area under a curve – trapezia (over and under estimates), Gradient of a point on a curve
 Geometry – Density/ Mass/ Volume, Vectors and Vector proof
 Probability  Tree diagrams; independent/ dependent events
YEAR 11 (Foundation)
Year 11 students will continuously retrieve previous learning in order for them to remember more. The Key Learning topics interleave with previous learnt knowledge into their current learning preparing students thoroughly for GCSE examtype questions. TERM 1 Retrieval Practice  BIDMAS, Fractions calculations, FDP Conversions, percentage calculations, simplifying ratios, sharing an amount into a given ratio, Best buys
 Simplifying algebraic expressions, Arithmetic sequences, Horizontal/ Vertical lines, Straight line graphs/quadratic graphs,
 Angles on a straight line, angles around a point.
 Writing probabilities, Relative frequency (probability), finding the Mode/ Median/ Mean, drawing and interpreting Pie charts
Key Learning  Number, Ratio, Proportion  Error Intervals, Standard form calculations, Estimation, Complex Ratio of amounts, Speed/ Distance/ Time
 Algebra  Rearranging equations, expanding Double brackets, representing and solving Inequalities
 Geometry – Multistep angles in a Triangle/ Quadrilateral, Angles on parallel lines, Area (tiling) questions, Vectors, Pythagoras, Venn Diagrams
 Statistics  Reverse Averages
TERM 2
Retrieval Practice  Factors, multiples and primes, Rounding and significant figures, Estimation, Ordering FDP, Flow charts, Complex ratio of amounts
 Solving equations, Factorising expressions, Arithmetic Sequences
 Lines of Symmetry, Rotational symmetry, Parts of a circle, Area of different shapes including compound shapes
 Pie charts, Probability scales, Tree diagrams
Key Learning  Number, Ratio, Proportion – Lowest Common Multiple (LCM)/ Highest Common Factor (HCF), writing one amount as a percentage of another, Compound interest, Combining ratios
 Algebra  Drawing inequalities, set up and solve equations, Fibonacci sequence
 Geometry – Transformations, Distance Time Graphs, Constructions
 Statistics  Frequency trees, Scatter graphs, Mean from frequency tables
TERM 3 Retrieval Practice  Fractions calculations, Decimal multiplication and division, LCM/HCF, Error Intervals, Estimation, Speed Distance Time
 Simplifying expressions, Expanding brackets, Terminology: Terms, Identities, Expressions, Equations
 Unit conversions, Area of circles, Transformations, Pythagoras, Constructions
Key Learning  Number, Ratio, Proportion – Negative/ Fractional indices, Reverse percentages, Simple vs Compound Interest, Indices
 Algebra  Sketching graphs, Area/perimeter and algebra (setting up and solving), SUVAT Equations, solving quadratic equations factorising, solving Simultaneous Equations
 Geometry – Pressure/ Force/ Area , Trigonometry, Area of sectors, Volume of prisms, Reverse area problems
