# Core 1

Mind Map by bambam_breakspea, updated more than 1 year ago
 Created by bambam_breakspea about 6 years ago
56
2

### Description

Maths (Core 1) Mind Map on Core 1, created by bambam_breakspea on 03/23/2014.

## Resource summary

Core 1
1 Algebra Review
1.1 Linear Equations
1.1.1 ax+b=0
1.2 Simultaneous Eqations
1.2.1 Elimination
1.2.2 Substitution
1.3 Inequalities
1.3.1 X by -1, Reverse the inequality
2 Surds
2.1 Irrational numbers
2.2 ab = a x b
2.3 Rationalise the denomiator
2.3.1 change the sign, times by top and bottom
2.4 a x a = a
3 Co-Ordinate Geomentry
3.1 Distance between 2 points
3.2 Mid-points
3.4 Perpendicular Lines
3.5 Line Equation
3.6 Line Intersection
3.7 Parallel Lines
4.1 Parabolas
4.3 Factorising
4.4 Sketching Graphs
4.5 Completing The Square
4.6 Translations
4.8 The discriminant
5 Polynomials
5.2 Subtracting
5.3 Mutliplying
5.4 Finding Coefficients
6 Factors, Remainders, Cubic Graphs
6.1 Algebraic Division
6.2 Factor Theorem
6.3 Remainder Theorem
6.4 Factorisation
6.5 Graphs of Cubics
7.1 Line and Curve Intersection
7.2.1 Tangents
7.2.2 b^2-4ac
7.2.3 Inequalities
7.3 Completing the Square
8 Circles
8.1 General Formula
8.1.1 Centre
8.2 Translations
8.2.1 Sketching
8.2.2 Vectors
8.3 Circle Properties
8.3.1 Chords
8.4 Normals
8.5 Equation of Tangent
9 Differentation
9.2 Tangents at a Point
9.4 Derivative
9.5 Notation
9.6 x power by coefficinent
9.6.1 reduce power by 1
10 Aplplications of Differentation
10.1 rates of change
10.2 increasing/ decreasing functions
10.3 tangents
10.4 normals
10.5 Curve Equation
11 Max,Min, Optimisation Problems
11.1 Second Derivative
11.1.1 Max < 0
11.1.2 Min > 0
11.3 Points of Inflection
11.4 Optimisation
11.4.1 1 Variable
12 Integration
12.1 Add 1 to Power, then divide by that number
12.2 + c
12.3 Equation of Curve
12.4 Area Under/ Between Curves
12.5 Definate/Indefinate Integrals

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