Exam Questions Cross Curricular Links Assessment Points Subject Specific Skills CEIAG Links
Mathematics Curriculum Map Product rule for counting Understand and use trigonometrical graphs Sketch translations and reflections of the graph of given function Formal proof with congruent triangles
Reasoning - Multiplicative, geometric and algebraic Revise non-calculator methods
Use exponential graphs, use equations of perpendicular lines, find the equation of tangent to a curve
Progression to next stage of learning: A Level Mathematics and Further Mathematics A Level / BTEC Level 3 in many different subjects Apprenticeships Problems involving variation with powers Formal geometric proofs inc the remaining circle theorems and algebraic proofs
Derive, use and prove first four circle theorems (The rest are Y11) Equation of a circle, Construct geometric proofs with vectors.
Revision and communication Transforming and constructing Listing and describing, show that…..
Revise area and volume ratios, use iterative methods and conditional probabilities Exact trig values, area and vol without calc, use equations when Revisit formal methods of calculation solving problems about the mean and fraction arithmetic
Revisit solving equations, incorporate proportional reasoning eg conversions Graphs Gradients and lines, non linear graphs and using graphs. Algebra Expanding and Factorising, changing the subject, functions
Angles and bearings Working with circles Vectors, Ratios & fractions % and Interest
11
Completing the square Using the quadratic fo Solving by iteration Composite and inverse functions
Revise Trig, area and vol inc compound shapes, Estimation rounding and sig fig
Collecting, representing and interpreting data Calculate with surds, rule for nth term of a quadratic sequence, fractional Non-calculator methods indices, rational and irrational numbers inc recurring decimals, limits of Types of number sequences accuracy, frequency diagrams box-plots and histograms equations to Indices and Roots
Context for include probability, area, angles, ratio problems etc
Enlarge by a negative scale factor, Revisit circumference, y=mx and Use set Similar triangles, inverse Links equations of graphs to independent events Notation proportion, Tree diagrams solving graphs Reasoning with Number and Geometry Solve inequalities in 2 variables Reasoning with Proportion Solve quadratic equations and Revise Angle rules inc in parallel Numbers, Using percentages Enlargement and similarity lines, equations ax=b, Pythagoras’ inequalaties by factorization Maths and money Solving ratio & proportion problems theorum Deduction, rotation and translation Rates Pythagoras theorem
10 in 2 and 3 Dimensions Explore vol of cones, sphereConstructing and 3D Shapes Representations and Revision complex shapes Constructions and congruency Probability, Algebraic representations Links to data collection and Revision Find unknown data values given representation in other the mean or changes in the mean areas of the curriculum Explore histograms for unequal groups Perform standard constructions including Reasoning with data Find the median from a table of perpendiculars The data handling cycle values Understand and use the properties of Measures of location and dispersion diagonals of quadrilaterals
9 Developing geometry Revisit forming and solving Developing Number Angles in parallel lines and polygons equations, properties of shapes, Fractions and Area of a trapezia and circles equations of straight lines percentages Revisit the use of Line symmetry and reflection Standard index form directed number Number sense Solve equations set in the Find the mid-point of a line Link to solving context of earlier context segment. Explore gradient such as shape, angles, and two-step Explore non-linear graphs probability, ration etc Use the product rule for counting
Revisit finding the range and using algebraic substitution to form lists for averages and the range
one
linear equations
Algebraic Techniques Brackets, equations and inequalities Sequences Expand a pair of binomials Indices Solve equations and inequalities with unknown on both sides Find the rule for the nth term of a linear sequence Explore powers of powers Understand and use: parallel line rules Sum of angles in any polygon Derive simple proofs using angles rule
Revisit area, equations, converting improper and mixed number
Representation Working in the Cartesian plane Link to Representing data Probability representing data
and using graphs in other areas of the curriculum
Revisit calculation with directed number , Revisiting Venn diagrams and set notation
Revisit area, equations, converting improper fractions and mixed number
Reasoning with Algebra Straight line graphs Forming and solving equations Testing conjectures
Express any ratio in the Form 1 : n Explore direct proportion graphs Multipy and divide mixed numbers Multiply and divide simple algebraic fractions
Proportional Reasoning Ratio and scale Multiplicative Change Multiplying and dividing fractions
8
Lines and Angles Construction and measuring Geometric Reasoning
Revisit FDP, equivalence and simple FDP addition and subtraction. Revisit factors and multiples both algebraically and numerically
Reasoning with numbers Developing Number Sense Sets and probability Prime numbers and proof
Understand and use complement of a set Use prime factors to find HCF and LCM Revisit area, equations, converting improper fractions and mixed number
Algebraic Thinking Exploring Sequences Understanding and using algebraic notation Equality and equality
7 Addition of numbers given in standard form, area of trapezium. HCF and LCM of algebraic expressions, areas involving algebraic expressions. Use of fractions greater than 1
Application of Number Addition and subtraction Multiplication and division Fractions and percentages of amounts
Revisit rounding, perimeter problems to revisit equations and simplifying, tables to include distance charts and simple tables. Order of operations to be revisited with negative numbers
Explore and use standard index form. Fractions above one. Convert multiples of one eighth to decimals and percentages
Place Value and Proportion Place value and ordering Fraction, decimal and percentage equivalence
Change the subject of a complex formulas, Explore the gradients of perpendicular lines
Area and volume of Similar shapes. Formal proof of congruency of triangles, enlargement by a negative scale factor, trig in 3D shapes, Derive sine and cosine rules use 0.5 absinC to find area of non right Congruence, similarity and enlargement angle triangle Trigonometry Representing solutions of equations and inequalities Simultaneous equations Revisit fraction, decimal and percentage equivalence Finding the original given any percentage. Revisit formal methods Understand and use: surd notation; for calculation, for negative and simple fractional indices integers and fractions Convert between units of area and volume Compare and use ratios Use error interval notation in the context of FDP
Solve equations with fractions, including fractional coefficients. Consider sequences with fractions