--- title: "Mathematics" url: "https://www.st-wilfrids.org/curriculum/subjects/mathematics" school: "St. Wilfrid's R.C. College, South Shields" --- # Mathematics ![Art & Photography banner](https://www.st-wilfrids.org/images/gallery/curriculum-image/250623St_Wilfrid_RC_School___078-2.jpg) # Mathematics Curriculum Building confident mathematicians for life ![Art and Photography](https://www.st-wilfrids.org/images/lo.png) ## Why study mathematics? ### What mathematics develops - Builds problem-solving skills you can use in real life - Helps you make sense of money, data and decisions - Opens doors to loads of careers, not just 'maths jobs' - Trains your brain to think logically and spot patterns ### Student voice “Maths helps me to understand the world. I love that moment where everything suddenly clicks into place and makes sense.” **Muhammed, Year 8** - KS3 Mathematics (Y7–9) - KS4 Mathematics - KS5 Mathematics Key Stage 3 Mathematics– Cycle Overview Cycle 1 #### Year 7 #### Knowledge focus - The decimal number system - Properties of arithmetic - Factors, multiples, primes, squares and roots - Order of operations #### Key skills - Adding and Subtracting Decimals - Multiplying and Diving by 10s - Place Value Grids - Factor Pairs, Common Factors, Division Methods, Common Multiples - HCF, LCM, - Equal and Unequal Priority, Using a calculator #### Assessment - Prior Understanding Quiz, Diagnostic Assessment, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Equal and unequal priority - Brackets - Square and Square root - Evaluate - Expressions - Multiple - Factor - Square - Prime - Prime factor decomposition - Venn diagram - LCM - HCF - Decoding - Base 10 - Exchange - Integer - Digit - Multiply - Divide #### Year 8 #### Knowledge focus - Proportional - Reasoning - Representations #### Key skills - Ratio and Scale - Multiplicative Change - Multiplying and Dividing Fractions - Working in the Cartesian Plane - Representing Data - Tables and Probability #### Assessment - 6 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Ratio - Proportion - Factors - Scale - Units - Numerator - Denominator - Perimeter - Circumference - Pi - Diameter - Gradient - Currency - Conversion - Linear - Enlargement - Scale Factor #### Year 9 #### Knowledge focus - Reasoning with Algebra - Constructing in 2 and 3 Dimensions #### Key skills - Straight Line Graphs - Forming and Solving Equations - Test Conjectures - 3D Shapes - Constructions and Congruency #### Assessment - 5 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Gradient - Intercept - Equation - Solve - Conjecture - Counterexample - Face / Edge / Vertex - Net - Congruent - Bisect - Perpendicular - Parallel Cycle 2 #### Year 7 #### Knowledge focus - Negative numbers - Expressions - Equations - Coordinates #### Key skills - Negative numbers - Expressions - Equations - Coordinates #### Assessment - Prior Understanding Quiz, Diagnostic Assessment, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Equal and unequal priority - Brackets - Square and Square root - Evaluate - Expressions - Multiple - Factor - Square - Prime - Prime factor decomposition - Venn diagram - LCM - HCF - Decoding - Base 10 - Exchange - Integer - Digit - Multiply - Divide #### Year 8 #### Knowledge focus - Algebraic Techniques - Developing Number #### Key skills - Brackets Equations and inequalities - Sequences - Indices - Fractions & Percentages - Standard Index Form - Number Sense #### Assessment - 6 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Expression - Simplify - Term - Substitute - Coefficient - Expand - Product - Factor - Like Terms - Equation - Solve - Inequality - Linear - Fibonacci - Indices #### Year 9 #### Knowledge focus - Reasoning with Number - Reasoning with Geometry #### Key skills - Numbers - Using Percentages - Maths and Money - Deduction - Rotation and Translation - Pythagoras’ Theorem #### Assessment - 6 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Integer - Decimal - Fraction - Percentage - Multiplier - Profit / Loss - Budget - Estimate - Angle - Rotation - Translation - Vector - Hypotenuse - Right angle - Square number / Square root Cycle 3 #### Year 7 #### Knowledge focus - Properties of 2D shapes - Conceptualising and comparing fractions - Manipulating and calculating with fractions - Ratio and Proportion - Representing data #### Key skills - Properties of 2D shapes - Conceptualising and comparing fractions - Manipulating and calculating with fractions - Ratio and Proportion - Representing data #### Assessment - Prior Understanding Quiz, Diagnostic Assessment, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Equal and unequal priority - Brackets - Square and Square root - Evaluate - Expressions - Multiple - Factor - Square - Prime - Prime factor decomposition - Venn diagram - LCM - HCF - Decoding - Base 10 - Exchange - Integer - Digit - Multiply - Divide #### Year 8 #### Knowledge focus - Developing Geometry - Reasoning with Data #### Key skills - Angles in Parallel Lines and Polygons - Area of Trapezia and Circles - Line of Symmetry and Reflection - The Data Handling Cycle - Measures of Location #### Assessment - 5 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Parallel - Corresponding - Alternate - Vertically Opposite - Transversal - Co-interior - Rhombus - Parallelogram - Trapezium - Kite - Quadrilateral - Interior - Exterior - Pentagon/Hexagon etc (up to 12 sided shapes) - Bisect - Acute - Obtuse - Reflex #### Year 9 #### Knowledge focus - Reasoning with Proportion - Representations #### Key skills - Enlargement and Similarity - Solving Ratio and Proportion Problems - Rates - Probability - Algebraic Representations #### Assessment - 5 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Scale factor - Similar shapes - Ratio - Proportion - Unit rate - Speed / Density / Pressure - Outcome - Sample space - Probability - Expression - Term - Coefficient - Variable Key Stage 4 Mathematics Cycle 1 #### Year 10 #### Knowledge focus - Similarity - Developing Algebra #### Key skills - Congruence, Similarity and Enlargement - Trigonometry - Equations and Inequalities - Representing Solutions - Simultaneous Equations #### Assessment - 5 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Congruent - Similar - Scale factor - Sine / Cosine / Tangent - Opposite / Adjacent / Hypotenuse - Equation - Inequality - Solution set - Simultaneous - Substitution - Elimination #### Year 11 #### Knowledge focus - Graphs - Algebra #### Key skills - Gradients & Lines - Non-Linear Graphs - Using Graphs - Expanding and Factorising - Changing the Subject - Functions #### Assessment - 5 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - November Prelims - Regular Past Papers #### Key Vocabulary - Proportion - Multiplier - Scale - Angle - Parallel / Perpendicular - Expression / Equation - Transformation - Reflection / Rotation / Translation / Enlargement - Construction - Sample space - Systematic listing #### Cycle 2 #### Year 10 #### Knowledge focus - Geometry - Proportions and Proportional Change #### Key skills - Angles and Bearings - Working with Circles - Vectors - Ratios & Fractions - Percentages and Interest - Probability #### Assessment - 6 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Clockwise - Circumference - Radius / Diameter - Sector / Arc - Vector - Magnitude - Ratio - Fraction - Percentage - Simple / Compound interest - Probability - Expected value #### Year 11 #### Knowledge focus - Reasoning - Communication #### Key skills - Multiplicative Reasoning - Geometric Reasoning - Algebraic Reasoning - Transforming & Constructing - Listing and Describing #### Assessment - 4 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - February Prelims - Regular Past Papers #### Key Vocabulary - Gradient - Intercept - Quadratic / Cubic - Curve - Plot / Read off - Expand - Factorise - Rearrange - Subject of a formula - Function - Input / Output - f(x) #### Cycle 3 #### Year 10 #### Knowledge focus - Delving into Data - Using Number #### Key skills - Collecting, Representing and Interpreting Data - Non-Calculator Methods - Types of Number and Sequences - Indices and Roots #### Assessment - 4 end-of-unit in class assessments, Sparx Maths, Retrieval Starters. - End of Cycle Assessment - All topics once covered can then appear on any future end of cycle assessments. #### Key Vocabulary - Discrete / Continuous - Frequency - Mean / Median / Mode / Range - Estimate - Prime / Factor / Multiple - Sequence / Term-to-term / Position-to-term - Index / Power - Square / Cube - Root - Standard form #### Year 11 #### Preparation for External Examinations Key Stage 5 Mathematics Cycle 1 #### Year 12 #### Knowledge focus - Quadratic algebra - Coordinate geometry - Statistical measures, - Probability theory #### Key Skills - Using quadratic expressions to model real life examples. - Calculating summary statistics of grouped data. - Applying the binomial probability model to real life situations. **Assessment** - 6 assessments (3 for each teacher) #### Key Vocabulary - Model - Quadratic - Gradient - Intercept - Binomial - Distribution - Quartiles - Outliers #### Year 13 #### Knowledge focus - Function theory - Algebraic manipulation - Sequences and series - Binomial expansions #### Key skills - Be able to work with functions - Finding their domain, range and forming composite functions - Writing rational functions in partial fractions - Apply arithmetic and geometric models to real life problems #### Assessment - 2 prelim examinations in November. #### Key Vocabulary - Partial fraction - Domain - Range - Composite - Binomial expansions Cycle 2 #### Year 12 #### Knowledge focus - Calculus - Kinematics #### Key skills - Explore the concept of a derivative and use to find the gradient of curves, equations of tangents and normals and locate stationary points. - Start to analyse the motion of particles in one and two dimensions under uniform acceleration. #### Assessment - 4 assessments (2 per teacher) #### Key Vocabulary - Derivative - Integral, - Stationary point - Gradient - Area - Velocity - Displacement - Acceleration - Uniform #### Year 13 #### Knowledge focus - Calculus #### Key skills - Advance knowledge of differentiation and integration to find more complex derivatives of curves defined parametrically and implicitly. - Use integration techniques to find complex areas under a variety of curves. #### Assessment - Prelim in February (3 papers) #### Key Vocabulary - Parametric - Implicit - Integration by parts Cycle 3 #### Year 12 #### Knowledge focus - Logarithms and exponentials #### Key skills - To introduce the concept of a logarithm and the exponential function. - Model real life situations with these and use to find coefficients in models. #### Assessment - End of year assessment (2 papers) #### Key Vocabulary - Logarithm - Exponential - Base - Linear #### Year 13 #### Knowledge focus - Vectors - Proof #### Key skills - Study vectors in 3 dimensions - Study the different forms of proof. #### Assessment - External Examinations #### Key Vocabulary - Proof - Contradiction - Exhaustion - Magnitude - Parallel #### **[For Key Stage 5 Curriculum information please click link here to our Sixth Form Curriculum](https://st-wilfrid-s-rc-college-south-shields.schudio.com/sixth-form)** ![St. Wilfrid's R.C. 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