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Mathematics - Coggle Diagram
Mathematics
Surface areas and volumes
Normal
Combination of solids
Volumes
Conversion of solid from one shape to another
Frustum of a cone
Trigonometry
T-ratios
Trigonometric ratios of specific angles
Trigonometric ratios of complementary angles
Trigonometric identities
Factors
RHS
Trigonometric ratios
Reciprocals of trigonometric ratios
Express tan and cot in sin and cos
Factorization
Fractions add and subtract
Algebraic identities
Identities
Sin2 θ + Cos2 θ = 1
Sec2 θ = 1 + Tan2 θ
Cosec2 θ = 1 + Cot2 θ
Quadratic equations
Types
Pure
Adfected
Numerical
Find the roots
Factorisation
Completing the square
Formula
Check whether quadratic equation or not
Equations reducible to the general form
Nature of the roots
Nature
Real and distinct
n>0
Real and equal
n=0
Imaginary
n<0
3 markers
Find m-p-k
Word Problems
Age
Geometry
Article
Number
Speed & time
Statistics
Mean
Continuous series
Word Problems
Finding x
Numerical
Non-continuous series
Median
Formula method
Word Problems
Finding x
Numerical
Graphical Method
Less than type
More than type
Mode
Numerical
Word Problems
Empirical Relation
3 Median = Mode + 2 Mean
Triangles
BPT
Converse
Corollary
Numerical
Rider
Criterion
Types
SSS
AA
SAS
AAA
Numerical
Riders
Area of similarity
Numerical
Rider
Pythagoras
Theorem
Numerical
Rider
Converse
Numerical
Triplets
Circles
Theorem 1
The tangent at any point of a circle is perpendicular to the radius through the point of contact
Theorem 2
The length of the tangents drawn from an external point to the circle are equal
Numerical
Riders
Some applications to trigonometry
2-markers
3-markers
4-markers
Areas related to circles
Perimeter & Area
Area of sector & segment
Segment
Area of minor segment
Area of major segment
Sector
Area of combination of plane figures
Construction
Tangents
Construction of tangents at the ends of radii
When the angle between the radii is given
When the angle between the tangents is given
Construction of tangents from an external point to the circle
Measure the tangents
Measure the tangents and verify
Similar triangles
Line segment
Coordinate geometry
Distance formula
Dist. Between
From origin
From x/y axis
Find coordinates
Equidistant
Relation
Prove it is a polygon
Triangle
Find perimeter
Sum of all sides
Isosceles
Two sides equal
Right-isosceles
Two sides equal
Pythagoras theorem
Equilateral
All sides equal
Scalene
All sides unequal
Quadrilateral
Rectangle
Opposite Sides-diagonals equal
Square
Sides-diagonals equal
Parallelogram
Opposite sides equal
Rhombus
Sides equal & diagnosis-unequal
Section formula
Formula
Find Ratio
Find x/y
Find k
Trisection
Mid-point formula
Find ratio
Find x/y
Application
Area of triangle
Formula
Application
Collinear
Pair of Linear Equations
Graphical Method
Algrebraic Method
Numericals
Unique-Intersecting
Infinitely Many solutions-coincident
No solution-parallel
Cross-Multiplication
Substitution
Elimination
Equations reducible to general form
Word Problems
Age
Geometry
Article
Fraction
Number
Arithmetic Progression
Progression
Check ap or not
Find a & An & c.d & n
Some application
Normal statement
Divisibility
3-numbers
4-numbers
5-numbers
Ratio
Geometry
Application
4/5-markers
Series
Find a & an & c.d & n
Find a & Sn & c.d & n
Some application
Normal statement
Divisibility
3-numbers
4-numbers
5-numbers
Ratio
An & Sn
First n terms & next n terms
Application
4/5-markers