A Level Maths - Taster

Exam board: EdExcel (Pearson) A-Level Mathematics gives you the opportunity to study topics such as geometry, calculus and trigonometry (pure mathematics) and to use mathematical theories within the 'applied' topics such as mechanics and statistics. Mechanics is strongly linked to physics and builds on ideas of motion and forces to work out how and why objects move. Statistics enables comprehension of our complex and variable world via analytical methods to draw reliable conclusions from sets of information and data. At the end of the 2 year course, there are 3 exam papers. Each worth 100 marks. Two of the papers are based on Pure maths, the third is based on applied maths (statistics + mechanics).

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

A Level Maths

y d𝑥

A = lw

b2-4ac

Pure Topics: Quadratics / Inequalities / Transformations / Sketching + defining graphs / Circles / Binomial expansion / Trigonometry / Vectors / Differentiation / Integration / Exponentials + logarithms / Sequences + Series / Radians / Parametric equations / Numerical methods. Applied topics: Statistics: Data Collection / Representing data / Standard deviation / Correlation / Probability / Binomial + normal distributions / Hypothesis testing. Mechanics: Terminology / Vectors / Forces + motion / Constant acceleration / Variable acceleration / Moments / Friction / Projectiles / Kinematics

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

A Level Maths

y d𝑥

A = lw

b2-4ac

~£12 on Amazon

~£24 on Amazon

~£25 on Amazon

Casio fx-991 CW

Casio fx-991 EX

Materials:

• Calculator
• Textbooks
• Writing paper
• Pen, pencil, ruler

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

A Level Maths

y d𝑥

A = lw

b2-4ac

LessonsThere will be 3 through the week: - 1 x 2 hour lesson - 2 x 1.5 hour lessons Prep (homework) ~ 5hrs per week

• Normally continuation of classwork.
• Set after each and every lesson, details on Google classroom.
• Expected to be submitted through Google classroom.
• Students mark own work, drawing my attention to their difficulties.

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

A Level Maths

y d𝑥

A = lw

b2-4ac

1. Expand and fully simplify (m + 9)(m + 2)2. Expand and fully simplify (2a + 3)(4a + 5) 3. Expand and fully simplify (6 + √5)(1 + √5) 4. Fully factorise w² - 15w + 54 5. Solve 2m² -11m + 5 = 0 6. The graph shows the function y = 2𝑥² + 2𝑥 -7 Find solutions to 2𝑥² + 2𝑥 -7 = -3 7. Solve the simultaneous equations: 2𝑥 + 3y = 8 3𝑥 + 4y = 11

Practice Questions

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

AS

y d𝑥

A = lw

b2-4ac

http://tiny.cc/ee9uxz

Recommend working through before the start of the course.

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

Imagine you are a computer.... put these numbers in order: 5, 9, 10, 2, 1, 3, 4, 7, 6, 8

P vs NP

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

The travelling salesman

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

The travelling salesman

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

P problems are easily solved by computers, and NP problems are not easily solvable, but if you present a potential solution it’s easy to verify whether it’s correct or not. All P problems are NP problems. That is, if it’s easy for the computer to solve, it’s easy to verify the solution. So the P vs NP problem is just asking if these two problem types are the same, or if they are different, i.e. that there are some problems that are easily verified but not easily solved. It currently appears that P ≠ NP, meaning we have plenty of examples of problems that we can quickly verify potential answers to, but that we can’t solve quickly. If anyone were able to show that P is equal to NP, it would make difficult real-world problems trivial for computers.

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

AS

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

y d𝑥

A = lw

b2-4ac

7. 2𝑥 + 3y = 8 3𝑥 + 4y = 11

6. 2𝑥² + 2𝑥 -7 = -3

1. (m + 9)(m + 2)2. (2a + 3)(4a + 5) 3. (6 + √5)(1 + √5) 4. w² - 15w + 54 5. 2m² -11m + 5 = 0

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level