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Ben Allan
@benallan
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This document covers key topics in A Level Maths, focusing on trigonometric identities and equations, circle geometry, differentiation, transformations, algebraic fractions, and polynomial functions. It provides comprehensive A Level Maths revision material, including examples, definitions, and practice questions.
04/09/2022
16859
This section focuses on the relationships between circles and triangles, which is a key topic in A Level Maths. Key points include:
Definition: An inscribed triangle has all its vertices touching the circumference of a circle.
Highlight: The perpendicular bisectors of the sides of a triangle intersect at the center of its circumscribed circle.
This page covers differentiation of quadratic functions, an essential skill for A Level Maths questions and answers. Topics include:
Example: If f(x) = 3x² - 4x + 2, then f'(x) = 6x - 4
Vocabulary: The derivative f'(x) represents the rate of change of the function f(x).
Highlight: Setting the derivative equal to zero helps find maximum and minimum points of a function.
This section explores how functions can be transformed, a crucial concept in A Level Maths topics list Edexcel. Key points include:
Example: y = f(x+1) represents a horizontal shift of 1 unit to the left
Highlight: Transformations also affect the position of asymptotes in functions.
This page covers techniques for handling algebraic fractions and factorization, essential for Algebraic fractions and quadratic differentiation Edexcel maths notes questions. Topics include:
Example: Factorize x² + 9x + 20 into (x+4)(x+5)
Highlight: When simplifying algebraic fractions, always look for common factors to cancel out.
This section focuses on polynomial functions and long division, important topics for A Level Maths exam questions by topic. Key points include:
Definition: A polynomial is an expression with positive integer indices.
Example: Divide 2x³ + 5x² - 3x + 4 by (x - 2)
Highlight: The remainder theorem can be used to find function values efficiently.
This page explores the concept of increasing and decreasing functions, crucial for understanding function behavior in A Level Maths. Topics include:
Vocabulary: A function is increasing when f'(x) > 0 and decreasing when f'(x) < 0.
Highlight: The second derivative can provide information about the concavity of a function.
This page covers essential trigonometric identities and equations for Edexcel Year 1 Maths. It includes:
Highlight: Understanding the periodicity of trigonometric functions is crucial for solving equations.
Example: Solve sin²α = cos²α by using the identity sin²α + cos²α = 1
Vocabulary: Periodicity refers to the repetition of values in trigonometric functions over regular intervals.
7
99
S5
Higher Maths Polynomials and Quadratics
Worked exam solutions and notes explaining techniques
3
370
12/13
Simultaneous Equations Questions
Edexcel A Level Maths simultaneous equations questions
9
855
S5/S6
SQA HIGHER Mathematics 2019 P2 Q11 (OPTIMISATION question)
Worked solutions to part A and B of the 2019 higher maths paper 2 differentiation optimisation question. Part A can be tricky at first and there is a lot of work to do for just 3 marks but I have tried my best to break it down and explain it.
7
170
12/13
Solving graphical Inequalities to satisfy more than one inequality
Notes, diagrams and practice questions on how to solve graphical Inequalities to satisfy more than one inequality
9
114
12
As pure edexcel proof
3 types of proof with examples
2
103
12/13
Polynomial division
Notes, explanations and practice questions (with steps) on polynomial division
Average app rating
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In education app charts in 12 countries
Students have uploaded notes
iOS User
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Ben Allan
@benallan
·
651 Followers
Follow
This document covers key topics in A Level Maths, focusing on trigonometric identities and equations, circle geometry, differentiation, transformations, algebraic fractions, and polynomial functions. It provides comprehensive A Level Maths revision material, including examples, definitions, and practice questions.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This section focuses on the relationships between circles and triangles, which is a key topic in A Level Maths. Key points include:
Definition: An inscribed triangle has all its vertices touching the circumference of a circle.
Highlight: The perpendicular bisectors of the sides of a triangle intersect at the center of its circumscribed circle.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers differentiation of quadratic functions, an essential skill for A Level Maths questions and answers. Topics include:
Example: If f(x) = 3x² - 4x + 2, then f'(x) = 6x - 4
Vocabulary: The derivative f'(x) represents the rate of change of the function f(x).
Highlight: Setting the derivative equal to zero helps find maximum and minimum points of a function.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This section explores how functions can be transformed, a crucial concept in A Level Maths topics list Edexcel. Key points include:
Example: y = f(x+1) represents a horizontal shift of 1 unit to the left
Highlight: Transformations also affect the position of asymptotes in functions.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers techniques for handling algebraic fractions and factorization, essential for Algebraic fractions and quadratic differentiation Edexcel maths notes questions. Topics include:
Example: Factorize x² + 9x + 20 into (x+4)(x+5)
Highlight: When simplifying algebraic fractions, always look for common factors to cancel out.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This section focuses on polynomial functions and long division, important topics for A Level Maths exam questions by topic. Key points include:
Definition: A polynomial is an expression with positive integer indices.
Example: Divide 2x³ + 5x² - 3x + 4 by (x - 2)
Highlight: The remainder theorem can be used to find function values efficiently.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page explores the concept of increasing and decreasing functions, crucial for understanding function behavior in A Level Maths. Topics include:
Vocabulary: A function is increasing when f'(x) > 0 and decreasing when f'(x) < 0.
Highlight: The second derivative can provide information about the concavity of a function.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers essential trigonometric identities and equations for Edexcel Year 1 Maths. It includes:
Highlight: Understanding the periodicity of trigonometric functions is crucial for solving equations.
Example: Solve sin²α = cos²α by using the identity sin²α + cos²α = 1
Vocabulary: Periodicity refers to the repetition of values in trigonometric functions over regular intervals.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Maths - Higher Maths Polynomials and Quadratics
Worked exam solutions and notes explaining techniques
7
99
0
Maths - Simultaneous Equations Questions
Edexcel A Level Maths simultaneous equations questions
3
370
0
Maths - SQA HIGHER Mathematics 2019 P2 Q11 (OPTIMISATION question)
Worked solutions to part A and B of the 2019 higher maths paper 2 differentiation optimisation question. Part A can be tricky at first and there is a lot of work to do for just 3 marks but I have tried my best to break it down and explain it.
9
855
1
Maths - Solving graphical Inequalities to satisfy more than one inequality
Notes, diagrams and practice questions on how to solve graphical Inequalities to satisfy more than one inequality
7
170
0
Maths - As pure edexcel proof
3 types of proof with examples
9
114
0
Maths - Polynomial division
Notes, explanations and practice questions (with steps) on polynomial division
2
103
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
