ExplainingMaths.com
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Teachers
(I)GCSE Maths
Number
>
Number Language
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What are Factors, Multiples, Primes, etc
What are Directed Numbers
Accuracy
>
How to Round Whole Numbers
How to round with Decimals
What are Significant Figures
What are Upper and Lower Bounds
Calculations
>
How to Order Numbers
Order of Operations
Fractions and Decimals
>
Introducing Fraction language
How to find Equivalent and Simplify Fractions
How to calculate Fraction of an amount
What are Improper Fractions and Mixed Numbers
How to Convert Fractions and Decimals
How to Add and Subtract Fractions
How to Multiply and Divide Fractions
Percentages
>
How to convert Percentages, Fractions and Decimals
How to Calculate the Percentage of a Quantity
How to Express one quantity as a percentage of another
What are Percentage increase and decrease
What are Reverse percentages
Ratio and proportion
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How to divide a quantity in a Ratio
What are Direct and Inverse Proportion
Indices and standard form
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What are Indices
What are Fractional and negative indices
How to solve Exponential equations
What is the Standard Form
Interest
>
How to calculate Simple Interest
How to calculate Compound Interest
How to shade Venn diagrams
Algebra and Graphs
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Algebraic representation and manipulation
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Introducing the language
How to Simplify Expressions
How to Expand Expressions
How to Factorise an Expression
How to Evaluate an Expression by Substitution
How to Change the Subject of an Equation
How to Combine and Simplify Algebraic Fractions
Algebraic indices
>
What are Three Laws of Indices
What is the Zero Index
What are Negative Indices
What are Fractional indices
How to solve Exponential Equations
Equations and inequalities
>
How to Solve Linear Equations
How to Construct Equations
How to Solve Simultaneous Equations
How to Solve inequalities
How to Solve Quadratic Equations
How to solve Exponential equations
Graphs of Functions
>
How to Graph Quadratic Functions
How to find Graphical solution of Quadratic Function
What is a Reciprocal Function
How to graph a Linear Function
How to Graph Cubic and Exponential Functions
How to find the Gradient of a Curve
How to Solve Equations Graphically
How to graph Inequalities
Graphs in Practical Situations
>
What are Conversion Graphs
How to work with Speed, Distance and Time Graphs
What are Distance-Time Graphs
What are Speed-Time Graphs
How to calculate Acceleration and Deceleration
What is the Area under a Speed-Time Graph
Functions
>
How to Evaluate Functions
How to find the Inverse Function
What are Composite Functions
Linear programming
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How to Graph Inequalities
What is Linear Programming
Sequences
>
How to find the nth term rule
Variation
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What is Direct Variation
What is Inverse Variation
Geometry
>
Geometrical vocabulary
>
Geometrical Vocabulary
Construction and scale drawings
>
How to Construct Polygons
How to Construct Bisectors
What is Scale Drawing
Similarity
>
How to find lengths of Similar Figures
How to find the Area and Volume of Similar Figures
Symmetry
>
Lines of, planes of and rotational symmetry
Angle properties
>
Basic angle properties
Sum of the Interior and Exterior Angles
Understand Circle Theorems
Loci
>
What are Loci
Mensuration
>
Measures
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How to Convert Units
How to Convert Units involving Area and Volume
Perimeter, area and volume
>
How to caculate Perimeter
How to Calculate Area of polygons
How to Calculate Surface Area
How to Calculate Area and Circunference of Circles
How to calculate Arc Length and Area of Sector
How to calculate Volume of Prisms and Cylinders
How to calculate Volume and Surface Area of Spheres, Pyramids and Cones
Coordinate Geometry
>
What is a Cartesian Coordinate System
What is the Gradient of a Line
How to find the Equation of a Line
Equations of Horizontal and Vertical Lines
How to find Equations of Parallel Lines
How to Draw Straight Line Graphs
How to Solve Simultaneous Equations Graphically
How to Calculate Length of a Line Segment
How to find Midpoint of a Line Segment
How to find the Equation of Perpendicular Lines
Trigonometry
>
What is Pythagoras' Theorem
What are the Sine, Cosine and Tangent
Trigonometry and Word Problems
What is 3-D Trigonometry
What are the Sine and Cosine Rule
How to calculate the Area of any Triangle
What are Bearings
What are Angles of Elevation and Depression
Vectors, Matrices and Transformations
>
Vectors
>
What are Vector Translations
How to Add and Subtract Vectors
How to Multiply a Vector by a Scalar
What is the Magnitude of a vector
What are Position Vectors
What is Vector Geometry
Matrices
>
What are Matrices
How to Add and Subtract Matrices
How to Multiply Matrices by a Scalar
How to Multiply a Matrix by another Matrix
What are the Identity and Zero Matrix
What are the Determinant and Inverse of a matrix
Transformations
>
What is a Reflection
What is a Rotation
What is a Translation
What is an Enlargement
How to do a Combination of Transformations
Transformations and Matrices
Stretch and Shear
Probability
>
Basic probability
Further probability
Statistics
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Mean, mode, median and range
>
Mean, mode, median and range
Mean for grouped data
Collecting and displaying data
>
Pictograms
Tally charts and frequency tables
Grouped frequency tables
Pie charts
Scatter diagrams and correlation
Histograms
Cumulative frequency
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Introducing cumulative frequency
Quartiles and the inter-quartile range
Past Paper Questions
Complete Past Exam Paper
>
Solving Paper 1 Maths Exams Core
Solving Paper 2 Maths Exams Extended
Solving Paper 3 Maths exam Core
Solving Paper 4 Maths Exams Extended
A level Maths
Pure Maths
>
Understand Coordinate Geometry
Understand Quadratic Functions and the Discriminant
What is Binomial Expansion
What is Differentiation
Connected Rates of Change and Stationary Points
What is Integration
Understand Integration Extended
Help with AS Trigonometry and Radians
Understand Vectors
Learn Sector Area and Arc Length
Help with Functions, Domain and Range
What are Progressions
Understand Mechanics
>
Kinematics in 1 dimension
>
Displacement, Velocity and Acceleration
Motion under constant acceleration
Motion and gravity
Solving Entire AS A2 Past Maths Exams
IB Maths SL
Functions
>
What are Functions
Domain and Range
Inverse Functions
Composite Functions
Transforming Functions
Sequences and Series
>
Arithmetic Sequences
Geometric Sequences
Product
8. interest
8.1 simple interest
8.2 compound interest
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