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Browse our library of Math concepts, absolutely free
Lower Primary - Class P1 & P2
>
Making Number Bonds
>
Ways to Add
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Ways to Subtract
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2-Dimensional Shapes in 3-Dimensional Objects
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Naming Left and Right Positions
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Comparing Things
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More Picture Graphs: Using Symbols
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Counting in Ones, Tens and Hundreds
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How to Multiply: Multiplication as Repeated Addition
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Division (Sharing or Grouping)
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Multiplying 5: Skip-Counting
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Division by Using Models
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Comparing Lengths in Metres
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Comparing Masses in Kilograms
Upper Primary - Class P3, P4 & P5
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Counting to 10 000
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Place Value of Numbers up to 10 000
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Comparing, Ordering and Number Pattern for Numbers up to 10 000
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Addition of 4-Digit Numbers with Regrouping In Ones, Tens And
  Hundreds.
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Multiplying with Regrouping in Ones, Tens, Hundreds and Thousands
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Two-step Word Problems Involving Multiplication
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Two-step Word Problems Involving Division
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Mentally Multiplying Pairs of Numbers
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Mental Division
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Improper Fractions
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Understanding Angles
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Drawing Parallel Lines Using Set-squares
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Understanding Tenths
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Estimation by Rounding Off
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Order of Operations
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Word Problems Involving Fractions
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Finding Ratios
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Subtraction of 4-Digit Numbers with Regrouping in Ones, Tens,
  Hundreds and Thousands.
Level 1 - Class 6, 7 & 8
Ratio and Proportional Relationships
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Key Concept: Ratio and Proportion
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Example: Finding Ratio (Based on Ages)
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Example: Application of Ratio and Proportion
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Example:Percentage and its Application
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Example:Find Percentage Decrease
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Example:Calculate Amount and Compound Interest
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Example:Comparing Simple & Compound Interest
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Example:Solve Distance-Speed Problem using Direct Proportion
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Example:Solve using Inverse Proportion
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Example: Compare Population Density
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Example: Calculate Principal Amount
Geometry
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Example:Identify Point, Ray, Line Segment.
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Example: Identify Triangle Using Angle Sum Property
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Example: Find Angles in Triangle
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Example: Finding Angle Measure
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Example: Perimeter and its Application
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Example: Find Area of Land
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Example: On Concept of Area
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Example: Construct Perpendicular Bisector of Chords
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Example: Bisect an Angle
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Example:Find Angle Measure in Quadrilateral
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Example: Find Number of Sides of Polygon Given an Exterior Angle
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Example: Find Missing Angles in Parallelogram
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Example:Construct Quadrilateral given 2 Adjacent Sides
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Example:Construct Quadrilateral given 3 Sides & 2 Angles
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Example: Complementary and Supplementary Angles
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Example: Finding Angle Measure when Parallel Lines are Cut
  by a Transversal
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Example: Finding Interior Angle in Triangle
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Example: Finding Missing Angles in Triangle
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Example: Sum of Four Sides of a Quadrilateral is Less than Twice
  the Sum of its Diagonals?
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Example: Application of Pythagoras Theorem
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Example: Application of Pythagoras Theorem
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Theorem: Bisector of Vertical Angle of an Isosceles Triangle Bisects
  the Base
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Example:Based on Congruence of Triangles
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Example: Construct Isosceles Right Triangle
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Example: Finding Area and Height of a Triangle
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Example: Based on Circumference of Circle
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Example: Find Area of Crossroads of Two Rectangular Paths
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Example: Find Number of Revolutions made by Wheel
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Example: Identify Cross Sections
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Example: Identify Nets of Solids
Statistics and Probability
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Example: Draw Time Graph
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Example: Draw Bar Graph
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Example: Calculate Mean, Median and Mode
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Example: Draw Double Bar Graph
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Example: Finding Probability
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Example:List Outcomes of an Event
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Example:Interpret Histogram.
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Example:Find Probability of an Event
The Number System
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Example: Distance Covered in Time
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Example: Distributive Law of Multiplication
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Key Concept: Prime Numbers and Composite Numbers
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Example: Writing Consecutive Numbers
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Example: Finding Missing Number in a Factor Tree
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Example: Finding Highest Common Factor
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Key Concept: Introduction to Integers
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Example: Simplify Using Distributive Law
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Example: Comparing Unlike Fractions
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Example: Sum and Difference of Fraction
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Example: Add and Subtract Decimals
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Example: Convert Fraction into Decimal
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Example: Convert Decimals into Fractions
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Example: Based on Property of Division by Integers
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Example: Counting Number of Steps
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Example: Comparing Perimeters of Plane Figures
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Key Concept:Division of Decimals
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Example: Comparing Decimals
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Example: Finding Rational Numbers Between Fractions
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Example:Find Value of Expression
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Example:Find Multiplicative Inverse
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Example:Finding Square Root
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Example:Find Square Root using Long Division
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Example:Find Smallest Number to Obtain a Perfect Cube
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Example:Finding Cube Root
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Example:Find Value of an Expression using Laws of Exponent
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Example:Simplify an Expression using Laws of Exponent
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Example:Find Missing Digits in Adding Two Numbers using Reasoning.
>
Example:Find Missing Digit using Divisibility Test
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Example: Comparing Fractions
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Example:Based on Multiplication and Division of Rational Numbers.
>
Example: Simplify Using Laws of Exponents
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Example:Solve for x in Equation using Laws of Exponents
Expressions and Equations
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Example: Forming Algebraic Expression
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Example: Form an Equation
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Example: Solve Linear Equation in One Variable
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Example: Form and Solve Linear Equation
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Example: Finding 3 Consecutive Integers by Forming an Equation
  in One Variable
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Example: Find Two Digit Number by Forming an Equation in
  Two Variables
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Example: Solve Linear Equation Involving Fractions
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Example:Adding Algebraic Expressions
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Example:Subtracting Algebraic Expressions
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Example:Simplify Polynomial Expression
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Example:Simplify using Algebraic Identity (a+b)²
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Example: Factorize by Splitting Middle Term
>
Example :Factorize Expression and Simplify as Directed
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Example:Correct the Mathematical Statement
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Example:Graph Data and Identify if it is Linear or Not
>
Example: Evaluating Expression for Unknown Variable
Level 2 - Class 9 & 10
Number and Quantity
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Key Concept:Real Numbers, Irrational Numbers and Decimal
  Expansion of Numbers.
>
Example:Finding Rational Numbers
>
Example:Represent Irrational Number on Number Line
>
Example:Rationalize the Denominator
>
Example:Finding Highest Common Factor(HCF) using Euclid's
  Division Lemma
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Example:Express the Number as Product of Prime Factors
>
Example:Prove the Number is Irrational
Algebra
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Example:Based on Remainder Theorem
>
Example:Factorize the Quadratic
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Example:Factorize a Polynomial
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Example:Solve using Algebraic Identity
>
Example:Frame Linear Equation
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Key Concept: Linear Equations and Their Solution.
>
Example:Forming a Quadratic
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Example:Dividing Polynomials
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Example:Find Zeros of Polynomial
>
Example:Solve System of Equations(Cross multiplication)
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Solving System of Equations(Substitution Method)
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Solving System of Equations(Elimination Method)
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Example:Solving System of Equations Reducible to Linear Equation
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Example:Solving Quadratic by Factorization
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Example:Solve Distance -Speed Problem by Forming Quadratic
  Equation
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Example:Solving Quadratic Equation (Completing Square)
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Example:Nature of Roots
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Example:Form & Solve Quadratic Equation
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Example:Finding nth Term from End
>
Example: Finding Common Difference for given Arithmetic
  Progression
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Example:Finding Sum of first n Multiples
Functions
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Example:Simplify Trigonometric Expression
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Example:Finding Unknowns using Trigonometric Ratios
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Example :Find Angle using Trigonometric Ratios of Complementary
  Angles
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Example:Prove Trigonometric Identity
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Example:Prove Trigonometric Identity Involving Acute Angles
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Example:Find Height given Angle of Elevation
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Example:Find Distance given Angle of Depression
Geometry
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Example:Locating Points on Plane
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Example:Find Angle Measure from given Figure
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Example:Find Angle Measure (Based on Parallel lines)
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Example:Find Angle Measure using Properties of Parallel Lines
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Example:Find Angle Measure using Triangle Properties
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Example:Based on Congruence rules.
>
Example:Find Missing Angle in Quadrilateral
>
Midpoint Theorem Application
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Application of Theorem (Triangle and Parallelogram on Same Base )
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Application of Area of Parallelogram
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Example:Finding Center of Circle by Construction
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Example:Based on Cyclic Quadrilateral.
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Example: Find Angle Measure using Circle Theorems
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Example:Construct Equilateral Triangle
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Example:Heron's Formula
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Example: Finding Altitude of Trapezium
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Example:Finding Lateral & Total surface Area of Cube & Cuboids
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Example:Find Height of Cylinder
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Example: Compare Surface Areas of Spheres
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Example: Find Volume of Cuboid
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Example:Find Volume of Sphere(word problem)
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Example:Prove Similarity of Quadrilaterals
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Example:Prove Triangles are Similar
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Proving Result using Pythagoras Theorem
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Example:Find Point using Distance Formula
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Co-ordinate Geometry :Section Formula
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Example:Find Triangle Area for given Coordinates of Vertices
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Application of Pythagoras:Shaded Region
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Example:Find Area of sector of Circle
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Example:Find Curved Surface Area of Frustum of a Cone
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Example:Find Volume of Cuboid from Two Cubes
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Example:Find Height of Cylinder from given Sphere
Statistics and Probability
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Example:Find Mean, Median ,Mode
>
Example: Find Correct Mean
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Example:Find Probability of Event
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Key Concept:Six Sigma Quality
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Key Concept:Identify Parameters and Make Inferences for Population
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Example:Margin of Error
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Example:Test a Production Lot by Sampling.
Level 3 - Class 11 & 12
Number and Quantity
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Example:Finding Argument and Modulus
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Example:Calculate Complex Roots
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Example: Polar Form of Complex number
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Key Concept:Order and Types of Matrices
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Example:Multiply the Matrices
>
Example:Verify Property of Transpose
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Example:Finding Inverse of a Matrix (Elementary Transformation)
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Example:Evaluate using Properties of Determinants
>
Application of Determinants:Find Area
>
Example:Solve System of Equations using Matrix Method
Geometry
>
Example:Find Angle Between Two Lines using Slope Concept
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Example:Find Length of Perpendicular
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Example:Find Angle Between Lines
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Example:Find Equation of Line
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Example:Finding Equation of Circle
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Example:Finding Equation of Parabola
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Example:Finding Equation of Ellipse
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Example:Equation of Hyperbola
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Key Concept: Co-ordinate Axes and Co-ordinate Planes
>
Example:3D Geometry- Prove Points are Collinear
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Example: 3D Geometry - Find ratio using Section Formula
>
Example:Solve to Find an Unknown Vector when Two Vectors
  are Equal
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Example:Finding Unit Vector
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Example:Finding Angle Between Two Vectors
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Example:Finding Projection of a Vector
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Example:Finding Value of Unknown for Perpendicular Vectors
>
Example:Finding x for a Unit Vector
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Example:Find Direction Cosines
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Example:Find Equation of Plane
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Example:Finding Direction Cosines for given Direction Ratios
>
Example:Finding Equation of a Line Parallel to Vector
>
Example:Angle between Pair of Lines
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Example:Finding Shortest distance
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Example:Finding Coordinates of Foot of Perpendicular
>
Example:Finding Intercepts Cut off by a Plane
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Example:Finding Distance of a Point from Plane
Statistics and Probability
>
Example:Based on Permutation (Arrangement of Letters)
>
Example:Based on Combination (Ways of Selecting a Card)
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Example:Finding Mean Deviation
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Example:Finding Standard Deviation
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Example:Finding Conditional Probability
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Example:Finding Probability of Independent events
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Example:Finding Probability using Multiplication Rule
>
Example:Finding Probability using Bayes Theorem
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Example:Finding Probability Distribution
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Example:Finding Probability using Binomial Distribution
Algebra
>
Example:Solving Inequality
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Application of Linear Inequation:Temperature Range
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Example:Finding Middle Term using Binomial Expansion
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Example:Find Power of Binomial
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Example:Finding Last Term of Arithmetic Progression(AP)
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Example:Finding Terms of Geometric Progression(GP)
Discrete Mathematics
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Example:Verify Demorgan's Law
>
Example:Practical Problem on Union & Intersection of Sets
>
Example:Write in Set Builder Form
>
Example:Solving Minimization Linear Programming Problem(LPP)
  Graphically
>
Key Concept: Introduction to Linear Programming
>
Example:Solving Maximization Linear Programming Problem(LPP)
  Graphically
>
Example:Form and Solve Linear Programming Problem(LPP)
Functions
>
Example:Finding Domain & Range
>
Example:Cartesian Product of Two Sets
>
Example :Introduction to Trigonometry
>
Example:Prove Trigonometric Identity
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Example:Solving Trigonometric Equation
>
Example:Finding Limit
>
Example:Find Limit if Exist
>
Example:Find Derivative using First Principle
>
Example:Finding Inverse of a Function
>
Example:Prove Equivalence Relation
>
Example:Find Domain and Range
>
Example:Find Principle Value of Function
>
Example:Evaluate Inverse Trigonometry function
>
Example:Solve Inverse Trigonometric Function
>
Example:Points of Discontinuity
>
Example:Derivative using Chain rule
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Example:Implicit Function Derivative
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Example:Logarithmic Differentiation
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Example:Parametric Function Derivative
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Example:Verify Mean Value Theorem
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Application of Derivative:Find Rate of Change
>
Application of Derivative:Increasing & Decreasing Function
>
Application of Derivative: Verify Lines are Parallel
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Application of Derivative:Finding Maxima or Minima
>
Example:Finding Integral
>
Example:Evaluate Integral using Substitution
>
Example:Evaluate integral of Trigonometric Function
>
Example:Integration by Parts
>
Example: Evaluate Definite integral
>
Example:Solve Definite Integral using Properties
>
Example:Solve Definite Integral using Properties
>
Example:Finding Area Between Curve and Line
>
Example:Finding Area Between Curves
>
Example:Solve Differential Equation using Variable Separable
  method
>
Example: Find Order and Degree of Differential Equation
>
Example:Form Differential Equation
>
Example:Solving Homogeneous Differential Equation
>
Example:Solving Equation using Integrating Factor
Fundamentals of Mathematics | Compressed Pre-Algebra with Basic Mathematics | Pre-Algebra | Survey of Algebra for the Liberal Arts | Introductory Algebra | Compressed Introductory and Intermediate Algebra | Combined Introducory and Intermediate Algebra | Intermediate Algebra | Math for Clinical Calculations | Career Math | Technical Mathematics | Geometry | Mathematics for the Liberal Arts: GT-MA1 | College Algebra | Turbo Algebra | Financial Mathematics | College Trigonometry | Finite Mathematics | Survey of Calculus | Introduction to Statistics | Integrated Math I | Integrated Math II | Pre-Calculus | Computer Applications for Statistical Procedures | Calculus I | Calculus II | Calculus III | Calculus III with Engineering Applications | Linear Algebra | Discrete Mathematics