Things in:
[-] are the guidance section from specification
All words in bold are AS level so should be known how to do
#-# are from the content exemplification for enhanced content guidance (not in specification
doc from another document from edexcel but essentially its more info about a subtopic) -
from Issue 2 at january 2023
Calculator playlist -
https://www.youtube.com/playlist?list=PLd7FwnU6nvjGNhznw0Zezrri_KShW9ybe
A LEVEL
1 Proof
1.1 Understand and use the structure of mathematical proof,
proceeding from given assumptions through a series of logical
steps to a conclusion; use methods of proof, including:
[Proof by deduction: proving results for arithmetic and geometric
series. ]
Proof by contradiction (including proof of the irrationality of √2
and the infinity of primes, and application to unfamiliar proofs).
#Candidates may have to choose the most appropriate method
of tackling the proof#
,Prove that √(2)√2 is irrational
, 2 Algebra & Functions
2.6 Manipulate polynomials algebraically, including expanding
brackets and collecting like terms, factorisation and simple
algebraic division; use of the factor theorem. [Only division by
(ax + b) or (ax – b) will be required. Students should know that
𝑏
if f(x) = 0 when x = , then (ax – b) is a factor of f(x). Students
𝑎
may be required to factorise cubic expressions such as x3 +
3x2 – 4 and 6x3 + 11x2 – x – 6.]
Simplify rational expressions, including by factorising and
cancelling, and algebraic division (by linear expressions only).
[Denominators of rational expressions will be linear or quadratic,
1 𝑎𝑥+𝑏 𝑥 3 +𝑎3
𝑒. 𝑔. , , ]
𝑎𝑥+𝑏 𝑝𝑥 2 +𝑞𝑥+𝑟 𝑥 2 −𝑎2
2.7 The modulus of a linear function.
[Students should be able to sketch the graph of 𝑦 = |𝑎𝑥 + 𝑏|
They should be able to use their graph. For example, sketch the
graph with equation 𝑦 = |2𝑥 − 1| and use the graph to solve the
equation |2𝑥 − 1| = 𝑥or the inequality |2𝑥 − 1| > 𝑥]
[-] are the guidance section from specification
All words in bold are AS level so should be known how to do
#-# are from the content exemplification for enhanced content guidance (not in specification
doc from another document from edexcel but essentially its more info about a subtopic) -
from Issue 2 at january 2023
Calculator playlist -
https://www.youtube.com/playlist?list=PLd7FwnU6nvjGNhznw0Zezrri_KShW9ybe
A LEVEL
1 Proof
1.1 Understand and use the structure of mathematical proof,
proceeding from given assumptions through a series of logical
steps to a conclusion; use methods of proof, including:
[Proof by deduction: proving results for arithmetic and geometric
series. ]
Proof by contradiction (including proof of the irrationality of √2
and the infinity of primes, and application to unfamiliar proofs).
#Candidates may have to choose the most appropriate method
of tackling the proof#
,Prove that √(2)√2 is irrational
, 2 Algebra & Functions
2.6 Manipulate polynomials algebraically, including expanding
brackets and collecting like terms, factorisation and simple
algebraic division; use of the factor theorem. [Only division by
(ax + b) or (ax – b) will be required. Students should know that
𝑏
if f(x) = 0 when x = , then (ax – b) is a factor of f(x). Students
𝑎
may be required to factorise cubic expressions such as x3 +
3x2 – 4 and 6x3 + 11x2 – x – 6.]
Simplify rational expressions, including by factorising and
cancelling, and algebraic division (by linear expressions only).
[Denominators of rational expressions will be linear or quadratic,
1 𝑎𝑥+𝑏 𝑥 3 +𝑎3
𝑒. 𝑔. , , ]
𝑎𝑥+𝑏 𝑝𝑥 2 +𝑞𝑥+𝑟 𝑥 2 −𝑎2
2.7 The modulus of a linear function.
[Students should be able to sketch the graph of 𝑦 = |𝑎𝑥 + 𝑏|
They should be able to use their graph. For example, sketch the
graph with equation 𝑦 = |2𝑥 − 1| and use the graph to solve the
equation |2𝑥 − 1| = 𝑥or the inequality |2𝑥 − 1| > 𝑥]
