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A Level Maths

Tom Carpenter, May 11, 2017

Worksheets I use to help teach post 16 mathematics

Algebra
1. Factorising Quadratics
2. Non-Linear Simultaneous Equations
3. Calculating with Surds
4. 2 Points
5. Equation of a Circle
6. Calculations with Polynomials
7. Binomial Expansion
8. Arithmetic Sequence
9. Geometric Sequence
10. Log Modelling
Calculus
1. Differentiation by First Principles
2. Finding Differentiaton Rules
3. Derivative Graphs
4. Basic Differentiation
5. Finding Integrals
6. Basic Integration
7. Area between 2 Lines
Trigonometry
Statistics
1. Sketch a Cumulative Frequency Curve
2. Cumulative Frequency v Histogram v Box Plot
3. Using Frequency Tables
4. Finding E(X) and Var(X)
5. Combinations and Permutations
6. Binomial Distribution
7. Hypothesis Testing
Mechanics
1. Velocity-Time Graph
2. Projectile Motion
3. Newton's 2nd Law in 2D
4. General Equations

Information

Algebra

Factorising Quadratics

Questions

Calculus

Differentiation by First Principles

Trigonometry

This chapter does not contain any resources yet.

Statistics

1. Sketch a Cumulative Frequency Curve
2. Cumulative Frequency v Histogram v Box Plot
3. Using Frequency Tables
4. Finding E(X) and Var(X)
5. Combinations and Permutations
6. Binomial Distribution
7. Hypothesis Testing

Sketch a Cumulative Frequency Curve

Instructions

1. Select the pen tool from the tool bar and draw a cumulative frequency curve on the top axes free-hand, thus replacing the existing one (Note: The curve needs to start and finish in the same place as the existing one) The bar-chart and histogram will be automatically updated to be equivalent to the curve. 2. Adjust the slider to select the number of groups for your histogram.

Key Questioning

How could you draw a distribution with positive/negative skew? How could you draw a distribution with large/small inter-quartile range? How could you draw a bi-modal distribution?

Mechanics

1. Velocity-Time Graph
2. Projectile Motion
3. Newton's 2nd Law in 2D
4. General Equations

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