A level Mathematics:  Resources for teachers

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C1 AND C2 C3 AND C4 FURTHER PURE DECISION STATISTICS ASSESSMENTS

This web page contains handouts that can be photocopied and given to students to support A level mathematics teaching. It also contains end of unit assessments that can be used to assess student's learning (good for assessment for learning) as well as schemes of work.  All resources are written for the OCR A level mathematics specifications.

Core Mathematics C2

Handout on using integration to find areas (Word document)

 

 

Core Mathematics C3

Handout on the Quotient Rule (Word document)

Handout on Connected Rates of Change (Word document)

Handout on Decimal Search (Word document)

 

 

Core Mathematics C4

Handout on Binomial Expansions (Word document)

Handout on Implicit Differentiation (Word document)

Handout on Integration by Parts (Word document)

Handout on Differential Equations (Separating the Variables)  (Word document)

Handout on Vectors (Geometrical proof)  (Word document)

Handout on Vectors (position vectors, magnitude, direction, etc)  (Word document)

 

 

Further Pure Mathematics (FP3)

Modulus and argument of a complex number - multiplying and dividing complex numbers (Word document)

Introduction to DeMoivre's Theorem - finding the nth root of a complex number (Word document)

DeMoivre's Theorem - finding the nth root of a complex number (continued)  (Word document)

DeMoivre's Theorem - nth roots of unity (Word document)

Applications of DeMoivre's Theorem - expressing cos, sin and tan as powers of sinθ, cosθ and tanθ (Word document)

Applications of DeMoivre's Theorem - expressing powers of trigonometric ratios in terms of multiple angles (Word document)

Second order differential equations - finding a particular solution (Word document)

Cartesian and vector equation of a line in three dimensions  (Word document)

Equation of a plane - Cartesian and vector forms (Word document)

Subgroups - including Lagrange's Theorem  (Word document)

Isomorphic groups  (Word document)

 

 

Decision mathematics D1

Teaching notes on Graphs and Matrices (Word document)

Teaching notes on Prim's Algorithm (Word document)

Teaching notes on Bubble and Shuttle Sort (Word document)

Teaching notes on Bin Packing Algorithms (Word document)

Powerpoint presentation on networks.

Powerpoint presentation on the Simplex Algorithm.

Link to Mathsnet resources for Decision Maths (note that these are written for the Edexcel D1 syllabus).

 

Statistics 1 S1

Teaching notes on Standard Deviation from a Frequency Table (Word document)

Mean and standard deviation - coded data(Word document)

Coded data sorting activity  (Word document)

Introduction to Permutations (Word document)

Permutations with restrictions (Word document)

More permutations with restrictions(Word document)

Permutations and Combinations Card Sorting Activity (Word document)

Combinations (Word document)

Mean and variance of a Geometric Distribution(Word document)

Product Moment Correlation Coefficient (Word document)

Spearman's Rank Correlation Coefficient (Word document)

 

 

Statistics 2 S2

Teaching notes on Discrete Distributions (Word document)

What is the Distribution?  Sorting Activity (Word document)

Teaching notes on the Poisson Distribution (Word document)

Teaching notes on Approximating a Binomial by a Poisson Distribution (Word document)

Teaching notes on Approximating the Binomial and Poisson Distributions as a Normal (Word document)

Teaching notes on Sampling distributions (Exploring the Central Limit Theorem) (Word Document)

Teaching notes on Central Limit Theorem (Word document)

One-sided and Two-sided Hypothesis Tests using a Binomial Distribution (Powerpoint)

 

End of Topic Assessments and Schemes of Work

OCR Specification

 

C1 and C2 C3 and C4 Further Pure

C1

Scheme of Work

Schedule

Surds and powers

Quadratics

Simultaneous equations

Coordinate geometry

Inequalities

Differentiation

Further differentiation

Transformation of graphs

Circle geometry

 

C2

Scheme of Work

Schedule

Algebra and functions

Binomial expansions

Logarithms

Sequences and series (APs)

Sequences and series (GPs)

Integration

Further integration

Trigonometry

Further trigonometry

C3

Scheme of Work

Schedule

Functions

Exponential functions

Differentiation

Integration

Trigonometry

Numerical methods

 

 

C4

Scheme of Work

Schedule

Algebra and functions

Series and sequences

Further differentiation

Integration 1

Integration 2

Differential equations

Vectors

  

FP1

Scheme of work

Schedule

Introduction to matrices/ transformations

Complex numbers

3 by 3 matrices and equations

Loci (complex numbers)

Proof by induction

Series

Roots of quadratics/ cubics

 

FP3

Scheme of work

Schedule

Groups

Further groups

Complex numbers

Differential equations

Further differential equations

Vectors

 

Decision Maths Statistics Mechanics

D1

Scheme of Work

Schedule

Algorithms

Graph theory

Prim's, Kruskal's and Dijstra's

Travelling salesperson and route inspection problems

Linear programming

Simplex algorithm

 

S1

Scheme of work

Schedule

Representing data (graphical)

Measuring location and spread

Probability

Permutations/ combinations

Discrete random variables

Binomial/ geometric distributions

Correlation

Regression

 

S2

Scheme of work

Schedule

Poisson distribution

Normal distribution

Hypothesis tests (discrete r.v.s)

Type I/ II errors (discrete r.v.s)

Sampling

Hypothesis tests (normal mean)

Type I/ II errors (normal)

M2

Scheme of work

 

 

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