Year 12 — Maths

Term 1: Y12 Unit 1 Pure Maths/Mechanics/Statistics

Algebraic expressions, index laws, negative and fractional indices, expanding and factorising, surds.

Solving quadratic equations, completing the square, functions, quadratic graphs, the discriminant, modelling with quadratics.

Linear and quadratic simultaneous equations, including graphs.

Algebraic fractions, polynomial division, factor theorem, mathematical proof, the Binomial Expansion.

Statistics.

Measures of location and spread, including variance and standard deviation; coding

Representations of data – outliers, box plots, cumulative frequency, histograms, comparing data

Statistical Distributions – probability distributions, Binomial Distribution, cumulative probabilities.

Mechanics.

Modelling in Mechanics, quantities and units, working with vectors.

Constant acceleration, displacement-time and velocity-time graphs, SUVAT equations (including vertical motion)

Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.

Create a supportive community:

This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.

Term 2: Y12 Unit 2 Pure Maths/Mechanics/Statistics

Differentiation – gradients, tangents and normals, increasing and decreasing functions, stationary points, modelling with differentiation.

Integration – finding functions, areas under curves and between curves and lines.

Vectors, solving geometrical problems and modelling.

Statistics.

Probability, Venn diagrams, mutually exclusive and independent events, tree diagrams.

Data collection - populations and samples, non-random sampling, types of data, the large data set.

Mechanics.

Complete Mechanics work from term 1.

Forces and motion (diagrams, vectors, 2-D motion), connected particles, pulleys.

Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate

Create a supportive community:

This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.

Term 3: Y12 Unit 3 Pure Maths/Statistics/Mechanics

Complete vectors from term 2.

Coordinate geometry – mid points and perpendicular bisectors, equation of a circle, intersection of circle and straight line, tangent-chord properties, triangles and circles.

Trigonometric identities and equations in all 4 quadrants, trig identities.

Statistics.

Hypothesis testing, critical values, 1- and 2-tailed tests.

Mechanics.

Complete Forces and Motion work from Term 2.

Assessment: Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.

Create a supportive community:

This course develops interpersonal skills: Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.

Term 4: Y12 Unit 4 Pure Maths/Statistics/Mechanics

Complete trigonometry from term 3.

Algebra and functions – linear and quadratic inequalities and regions.

Graphs – cubic, quartic, reciprocal, and transformations.

Statistics.

Correlation and regression.

Mechanics.

Variable acceleration, using differentiation, maxima and minima problems, using integration, constant acceleration formulae.

Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.

Create a supportive community:

Communication – active listening, oral communication, written communication.. Relationship-building skills – teamwork, trust, intercultural sensitivity, self-presentation, conflict resolution and negotiation. Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.

Term 5: Y12 Unit 5 Pure Maths

Exponentials and logarithms, solving equations with logarithms, working with natural logs, logs with non-linear data.

Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.

Create a supportive community:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate

Term 6: Y12 Unit 6 Pure Maths and revision

Begin remaining AL course content: Algebraic and partial fractions, further trigonometry, further differentiation.

Internal test of 50 minutes duration on all topics covered once the relevant unit on Edexcel scheme of work is completed. Pure Maths is 62.5% of the Year 12 course. It is assessed through a 2 hour exam (internal) at the end of Year 12. Statistics and Mechanics are 37.5% of the course and are assessed by a 1h15m internal paper at the end of Y12. A suitable calculator is required (e.g. Casio Class Wizz).

https://nrich.maths.org/10321

This is a link to some useful maths notation Please refer also to Edexcel AL Maths Specification (https://qualifications.pearson.com) Appendix 2 for a full list of notation required for Maths and Further Maths AS and AL

  • Spiritual
  • Moral
  • Social
  • Cultural

Develop the individual:

This course develops cognitive skills: Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate.

Create a supportive community:

Non-routine problem solving – expert thinking, metacognition, creativity. Systems thinking – decision making and reasoning. Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills. ICT literacy – access, manage, integrate, evaluate, construct and communicate