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Pure 1 - Chapter 7+8
thomas.payne
Created on November 8, 2023
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Transcript
LO's
Chapter 7 - Algebraic methods
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Knowledge check 1
b2-4ac
Ans A
A = lw
Ans B
Old
Ans C
New
AS
Related
7.1 - ALgebraic fractions
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Rules
b2-4ac
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7.2 - Dividing polynomials
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7.2 - Dividing polynomials
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7.2 - Dividing polynomials
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7.3 - The factor theorem
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7.3 - The factor theorem
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7.3 - The factor theorem
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7.4 - Mathematical proof
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7.4 - Mathematical proof
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7.4 - Mathematical proof
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7.4 - Mathematical proof
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7.5 - methods of proof
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7.5 - methods of proof
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7.5 - methods of proof
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LO's
Chapter 8 - The binomial expansion
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Knowledge check 1
b2-4ac
Ans A
A = lw
Ans B
Old
Ans C
New
AS
Related
8.1 - Pascal's triangle
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8.1 - Pascal's triangle
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8.1 - Pascal's triangle
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Rules
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8.1 - Pascal's triangle
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8.2 - Factorial notation
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8.2 - Factorial notation
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8.3 - The binomial expansion
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8.3 - The binomial expansion
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8.3 - The binomial expansion
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8.4 - Solving binomial problems
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8.4 - Solving binomial problems
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8.4 - Solving binomial problems
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8.5 - binomial estimation
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Who to believe?
A quick google on 'real life uses of the binomial theorem' will throw up a suggestion that it is used in the automatic generation of IP addresses. This sounds mildly interesting so I tried to find out more... but couldn't. I found out a bit about IP addresses, but nothing that related to the binomial theorem. I then thought to try chat gpt. It said "The statement that the binomial theorem is used for the automatic generation of IP addresses appears to be incorrect or misleading.... As of my last knowledge update in September 2021 there is no known connection between the binomial theorem and the automatic generation of IP addresses.
b2-4ac
dy
dx
f(π₯+a)
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Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
Chapter 7 Learning Objectives
- Cancel factors in algebraic fractions
- Divide a polynomial by a linear expression
- Use the factor theorem to factorise a cubic expression
- Construct mathematical proofs using algebra
- Use proof by exhaustion and disproof by counter-example.
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
Chapter 7 Learning Objectives
- Cancel factors in algebraic fractions
- Divide a polynomial by a linear expression
- Use the factor theorem to factorise a cubic expression
- Construct mathematical proofs using algebra
- Use proof by exhaustion and disproof by counter-example.
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation