# Maths

SUBJECT AIM

In Mathematics there is a strong focus on developing problem-solving skills, reasoning and fluency. It aims to help students understand concepts, apply techniques, solve problems, reason, interpret and communicate mathematically. This will allow our students to appreciate the importance of mathematics in society, employment and study.

WHAT YOU WILL STUDY

The course will cover a wide range of topics in the four key areas of algebra, geometry, measure and data handling. Students will first be taught how to carry out routine procedures requiring multi-step solution in all four areas, which will then allow them to reason, interpret and communicate mathematically and to progress on to solve problems both within mathematics and in other real-life contexts.

HOW WILL YOU BE ASSESSED

Candidates are entered at either Foundation Tier or Higher Tier. Questions in the Foundation Tier papers are targeted at grades 5 to 1. The highest grade which will be awarded at Foundation Tier is grade 5. Questions in the Higher Tier papers are targeted at grades 9 – 4. Some examination questions will be common to both tiers. Calculators are permissible for all papers in the foundation and higher tiers.

 Foundation(grades 1-5) Paper 1Calculator Paper 2Calculator 50% weighting2 hour 50% weighting2 hour Higher(grades 4 -9) Paper 1Calculator Paper 2Calculator 50% weighting2 hour 50% weighting2 hour

WHAT THIS SUBJECT CAN LEAD TO

• Engineering, Statistician, Mathematics teacher, Financial Advisor, Credit Analyst, Banker, Actuary, Pure Mathematics, Applied Mathematics, Research Mathematics, Computer Science, Biomathematics, Cryptography
• Support your appreciation and the importance of mathematics in society, employment and study.

Please click on the arrow for a detailed breakdown:

 THE LEARNING JOURNEY FOR MATHS FOUNDATION Unit / Block of work Key Episodes / Questions Colour Code Length of time (hours) Learner Attribute(s) Term 1 Sequences Term- to-term rule; position-to-term rule; nth term; find the next term Blue 5 Communicator Symmetry and angles lines of symmetry; find missing angles in parallel lines, triangles and quadrilaterals; properties of quadratics; name solids; Green 8 Caring Polygons Name polygons; interior and exterior angles of polygons; angle sum of polygons Green 5 Knowledgeable Measures and scale drawings interpret scales; calculate with time; estimate measures; measure angles and lines; scale drawings; convert units Green 5 Principled constructions and bearings construct triangles and other shapes; perpendicular bisector; bisect an angle Green 4 Open-minded Term 2 Pythagoras and Trigonometry Pythagoras’ Theorem; Find a missing angle or side using trigonometry Green 12 Thinker Quadratic equations Expand double brackets; factorise and solve quadratic expressions; plot quadratic graphs Blue 5 Reflective Set notation and Venn diagrams use set notation; use Venn diagrams to prepresent sets; find probabilities from Venns Yellow 7 Inquirer Term 3 Transformations rotation; reflection; translation; enlargement; describe transformations Green 7 Balanced simultaneous equations Solve two simultaneous equations Blue 4 Risk Taker similarity and congruence Congruence; similar shapes Green 5 Open-minded indices and standard form use index notation and laws; standard form Red 5 Thinker real life graphs interpret real life graphs Yellow 4 Reflective

 THE LEARNING JOURNEY FOR MATHS HIGHER Unit / Block of work Key Episodes / Questions Colour Code Length of time. (hours) Learner Attribute(s) Term 1 Pythagoras and Trigonometry Pythagoras in 2D, Trigonometry in 2D Green 16 Thinker Construction and bearings Perpendicular bisector, angle bisector, scale drawings, draw and measure bearings, return bearings, solve bearings problems. Green 8 Inquirer Quadratics equations, inequalities and graphs Solve by factorisation, solve by formula or completing the square, form and solve, solve graphically, solve a quadratic inequality. Blue 16 Principled Term 2 Set language Unions and intesections, elements and subsets, complement of a set. Yellow 12 Knowledgable Venn diagrams Complete Venn diagrams, interpret Venn diagrams. Yellow 12 Communicator Transformations Rotations, Translations, Enlargements, Reflections, Describe a transformation. Green 10 Reflective Simultaneous equations Solve linear, solve quadratic, solve algebraically. Blue 10 Balanced Degrees of accuracy Upper and lower bounds, solve problems involving bounds. Red 8 Risk Taker Similar shapes Length scale factors, area and volume scale factors. Green 14 Open-minded Term 3 Indices and standard form Convert numbers between ordinary form and standard form, four operations Blue 8 Thinker Circle properties Intersecting chord theorem, cyclic quadrilaterals, alternate segment theorem. Green 12 Thinker Real life graphs Interpret real life graphs. Yellow 4 Inquirer Ratio and proportion share in a ratio, direct and inverse proportion, use standard units of measure, currency conversions. Red 6 Communicator Compound measures Speed, density, pressure, convert area and volume measures. Green 10 Open-minded
 THE LEARNING JOURNEY FOR MATHS FOUNDATION Unit / Block of work Key Episodes / Questions Colour Code Length of time (hours) Learner Attribute(s) Ratio and proportion Divide into a ratio; direct proprtion; converting units; currency conversions; best buys; recipes Red 7 Caring Compound measures Speed, distance time; density and pressure Red 5 Balanced Probability Probability scale; Venn diagrams; sample spaces; list outcomes; compliment of an event; mutually exclusive events; expected frequency Yellow 9 Inquirer

 THE LEARNING JOURNEY FOR MATHS HIGHER Unit / Block of work Key Episodes / Questions Colour Code Length of time. (hours) Learner Attribute(s) Term 1 Function notation Domain and range; composite functions; inverse functions. Blue 14 Thinker Harder graphs and transformations of graphs Plot cubic, reciprocal and trigonometric functions; translate, reflect and stretch functions; find the gradient of a curve using tangents. Blue 14 Reflective Advanced trigonometry Use the Sine, Cosine rule; area of a triangle; 3D trigonometry and Pythagoras. Green 16 Inquirer Term 2 Probability Theoretical probability; Venn diagrams; sample spaces; expected frequencies; mutually exclusive events; tree diagrams; conditional probabilities. Yellow 12 Open-minded Calculus Rates of change; differentiate powers of x; find gradients and stationary points; kinematics. Blue 16 Knowledgable Vectors Column vectors; modulus of a vector; geometrical proof using vectors. Green 12 Communicator Term 3 Revision Preparation for iGCSE exams in May/ June Black Principled