AQA A Level Mathematics Year 1 (AS)

✍ Scribed by Sophie Goldie;Susan Whitehouse;Val Hanrahan

• Publisher: Hodder Education Group
• Year: 2017
• Tongue: English
• Leaves: 574
• Category: Library

✦ Synopsis

Give students the confidence to identify connections between topics and apply their reasoning to mathematical problems, so as to develop a deeper understanding of mathematical concepts and their applications, with resources developed with subject specialists and MEI (Mathematics in Education and Industry).- Prepare students for assessment with plenty of practice questions, worked examples and skill-focused exercises. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance under.;Cover; Book title; Copyright; Contents; Getting the most from this book; Prior knowledge; 1 Problem solving; 1.1 Solving problems; 1.2 Writing mathematics; 1.3 Proof; Problem solving: Mountain modelling; 2 Surds and indices; 2.1 Using and manipulating surds; 2.2 Working with indices; 3 Quadratic functions; 3.1 Quadratic graphs and equations; 3.2 The completed square form; 3.3 The quadratic formula; 4 Equations and inequalities; 4.1 Simultaneous equations; 4.2 Inequalities; 5 Coordinate geometry; 5.1 Working with coordinates; 5.2 The equation of a straight line.

✦ Table of Contents

Cover
Book title
Copyright
Contents
Getting the most from this book
Prior knowledge
1 Problem solving
1.1 Solving problems
1.2 Writing mathematics
1.3 Proof
Problem solving: Mountain modelling
2 Surds and indices
2.1 Using and manipulating surds
2.2 Working with indices
3 Quadratic functions
3.1 Quadratic graphs and equations
3.2 The completed square form
3.3 The quadratic formula
4 Equations and inequalities
4.1 Simultaneous equations
4.2 Inequalities
5 Coordinate geometry
5.1 Working with coordinates
5.2 The equation of a straight line. 5.3 The intersection of two lines5.4 The circle
5.5 The intersection of a line and a curve
Problem solving: Integer point circles
Practice questions: Pure mathematics 1
6 Trigonometry
6.1 Trigonometric functions
6.2 Trigonometric functions for angles of any size
6.3 Solving equations using graphs of trigonometric functions
6.4 Triangles without right angles
6.5 The area of a triangle
7 Polynomials
7.1 Polynomial expressions
7.2 Dividing polynomials
7.3 Polynomial equations
8 Graphs and transformations
8.1 The shapes of curves
8.2 Using transformations to sketch curves. 8.3 Using transformations8.4 Transformations and graphs of trigonometric functions
9 The binomial expansion
9.1 Binomial expansions
9.2 Selections
Practice questions: Pure mathematics 2
10 Differentiation
10.1 The gradient of the tangent as a limit
10.2 Differentiation using standard results
10.3 Tangents and normals
10.4 Increasing and decreasing functions, and turning points
10.5 Sketching the graphs of gradient functions
10.6 Extending the rule
10.7 Higher order derivatives
10.8 Practical problems
10.9 Finding the gradient from first principles
Problem solving: Proofs. 11 Integration11.1 Integration as the reverse of differentiation
11.2 Finding areas
11.3 Areas below the x axis
11.4 Further integration
12 Vectors
12.1 Vectors
12.2 Working with vectors
12.3 Vector geometry
13 Exponentials and logarithms
13.1 Exponential functions
13.2 Logarithms
13.3 The exponential function
13.4 The natural logarithm function
13.5 Modelling curves
Practice questions: Pure mathematics 3
14 Data collection
14.1 Using statistics to solve problems
14.2 Sampling
15 Data processing, presentation and interpretation
15.1 Presenting different types of data. 15.2 Ranked data15.3 Discrete numerical data
15.4 Continuous numerical data
15.5 Bivariate data
15.6 Standard deviation
16 Probability
16.1 Working with probability
Problem solving: Alphabet puzzle
Problem solving: Estimating minnows
17 The binomial distribution
17.1 Introduction to binomial distribution
17.2 Using the binomial distribution
18 Statistical hypothesis testing using the binomial distribution
18.1 The principles and language of hypothesis testing
18.2 Extending the language of hypothesis testing
Practice questions: Statistics
19 Kinematics.

✦ Subjects

Mathematical ability;Mathematical ability in children;Problems and exercises;Electronic books;Mathematical ability -- Problems, exercises, etc