Mammoth Maths
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Maths basics

Multiplication tables

Positive and negative signs
 Number bonds

Common core
 Addition
 Common core addition  Number bonds
 Common core addition  Line addition
 Subtraction traditional method
 Common core subtraction  counting up method
 Common core subtraction  Number line subtraction
 Division
 Common core division
 Multiplication  Traditional method
 Common core multiplication
 BIDMAS

Maths vocabulary and expressions
Numbers

Fractions
 Fractions
 Improper fraction
 Vulgar fraction
 Mixed number
 Simplifying fractions
 Convert between a mixed number and an improper fraction
 Convert between an improper fraction and a mixed number
 Ordering fractions by size  Method 1
 Ordering fractions by size  Method 2
 Ordering fractions by size  Method 3
 Fractions of an amount
 Percentage to decimals
 Decimals to percentages
 Notation for recurring decimals
 Fraction to decimal
 Decimal to fractions
 Decimal to fraction  Non repeating
 Decimal to fraction  Repeating
 Simple interest

Compound Interest

Bounds
 Upper and lower bound
 Upper and lower boundary and logic
 Upper and lower boundary addition
 Upper and lower boundary subtraction
 Upper and lower boundary multiplication
 Upper and lower boundary division
 Upper and lower boundary mixed
 Summary of all upper and lower boundary calculations
 Upper and lower boundary difficult examples
 Significant figures

Standard form
 Standard (index) form
 Why use standard (index) form for large numbers?
 Why use standard (index) form for small numbers?
 Worked examples
 Exam style questions
 Standard form calculations
 Standard form and moving decimal places
 Standard form addition
 Standard form subtraction
 Standard form multiply
 Standard form divide
 Standard form difficult examples
 Number bases and binary
Pythagoras and trigonometry
 Hypotenuse

Intercept and midpoint theorem

Trigonometry
 Trigonometry  sin cos tan
 Practical examples of trigonometry
 Opposites and the world of sine
 Sine examples
 Adjacent and the world of cosine
 Cosine examples
 Opposites divided by adjacent and the world of tan
 The sine curve and cosine curve
 How to plot the sine curve
 How to plot the cosine curve
 The sine curve overlaid on the cosine curve
 Pythagoras theorem
Algebra
 Variable

Term
 Coefficient
 Rearranging formulas
 Multiplying brackets

The quadratic equation, factors and parabolas
(read 1st) 
The quadratic formula solver
(read 3rd) 
Inequalities
 Inequalities
 Less than or greater than 1st method
 Less than or greater than 2nd method
 Less than or greater than equations
 Inequalities and equal numbers
 Solving twopart inequalities
 Threepart inequalities
 Dividing or multiplying inequalities
 Dividing or multiplying by negatives
 Dividing or multiplying threepart inequalities by negatives
 Inequalities and integers
 Inequalities where x is on the right
 Inequalities and dividing by a variable
 Summary inequalities
 Inequalities and number lines
 Threepart inequalities on a number line
 Inequalities and graphs
 Examples of inequalities and graphs

Sequences
 The `nth` term of a sequence
 Sequence
 Sequence and recognising patterns simple nth term
 Sequence and recognising patterns
 Sequence and patterns order of easiness
 Sequence pattern 1
 Sequence pattern 2
 Sequence pattern 3
 Next few terms in a sequence
 Formula for the nth term of a sequence  Consistent difference
 Formula for the nth term of a sequence  Consistent difference between differences
 Using the quadratic formula to find nth term of a sequence
 Quadratic formula to find nth term of a sequence method 2
 Quadratic formula to find nth term of a sequence method 3
 Formula for nth term of a sequence  multiplication
 Triangles and the nth term
 Is a number (term) in a sequence?
 Fibonacci sequence

Ratios
 Two part ratios
 Ratios and maps
 Three part ratios
 Proportion in maths (not the same as English language definition)
 Ratio vs proportion
 Direct proportion verses inverse proportion
 Proportional or directly proportional
 Inverse proportion
 2 part ratio and dividing up amounts
 Difficult proportional examples
 3 part ratio and dividing up amounts
 2 part ratio and dealing with decimals
 3 part ratio and dealing with decimals
 2 part ratio and dealing with fractions
 3 part ratio and dealing with fractions
 Ratios in the form 1:n or n:1
 2 part ratios  simplifying integers
 3 part ratios  simplifying integers

Powers, roots and indices
 Powers and roots
 Exponents
 Index laws
 Remember index laws
 Indices law 1
 Indices law 2
 Indices law 3
 Roots
 Further roots
 Further indices  Adding
 Indices law 4
 Indices law 5
 Indices law 6
 Indices law 7
 Indices law 8
 Indices law 9
 Indices and double negatives
 Indices and decimal places
 Negative indices on the bottom
 Indices and calculators
 Summary indices laws to remember
 Indices examples
Graphs

Graphs
 Graphs  always make y the subject of the formula
 Finding the gradient

Formula for a straight line
 Formula for a straight line
 Remember the formula for a straight line
 The slope or gradient of a line
 Remember the formula for the gradient
 Does my line have a +VE or VE gradient
 Remembering positive or negative gradients
 Further explanation
 When you're given coordinates
 Horizontal and vertical gradients
 Another way to remember the horizontal and vertical gradients
 Always make y the subject of the formula
 What does c represent
 Equation of a vertical line
 Equation of a horizontal line
 Parallel lines

Perpendicular lines
 Difficult straight line graph examples

Other graphs, charts and diagrams
Geometry
 Symmetric
 Asymmetrical

Congruent
 Similar
 Vertex

Interior angles of polygons
 Interior angles of polygons
 The total interior angles of a triangle = 180
 Total internal angle of any polygon can be worked out from triangles
 The total interior angles of a square (or rectangle) = 360
 Why must a square add up to 360 (in pictures)
 The total interior angles of a pentagon = 540
 Why must a pentagon add up to 540 (in pictures)
 The total interior angles of a hexagon = 720
 Why must a hexagon add up to 720 (in pictures)
 The total interior angles of a heptagon = 900
 Why must a heptagon add up to 900 (in pictures)
 The total interior angles of an octagon = 1080
 Why must an octagon add up to 1080 (in pictures)

Circumference, area and volume
 The circumference of a circle experiment
 Remember the circumference and area of a circle formula
 Alternative to remember area and circumference of a circle
 Surface areas formula, cubes, cylinders, pyramids, cones and spheres
 Surface area cylinder
 Surface area pyramid
 Surface area of a cone
 Surface area of a sphere
 Volume of cubes
 Volume of cylinders
 Two dimensions
 Three dimensions
 Volume of cones
 Volume of square based pyramids
 Volume of rectangular based pyramids
 Volume of triangular based pyramids
 Volume of a sphere
 Volume examples
 Frustums
Statistics and probability

Listed outcomes and expected frequency
Logarithms

Logarithms and multiplying

Log and anti log tables
 Logarithms  divide large number traditionally

Reference tables