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Browse our library of Math concepts, absolutely free
Lower Primary  Class P1 & P2
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Making Number Bonds
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Ways to Add
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Ways to Subtract
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2Dimensional Shapes in 3Dimensional 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: SkipCounting
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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 4Digit 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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Twostep Word Problems Involving Multiplication
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Twostep 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 Setsquares
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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 4Digit 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 DistanceSpeed 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.
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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.
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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
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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
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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.
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Example:Finding Rational Numbers
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Example:Represent Irrational Number on Number Line
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Example:Rationalize the Denominator
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Example:Finding Highest Common Factor(HCF) using Euclid's
Division Lemma
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Example:Express the Number as Product of Prime Factors
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Example:Prove the Number is Irrational
Algebra
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Example:Based on Remainder Theorem
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Example:Factorize the Quadratic
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Example:Factorize a Polynomial
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Example:Solve using Algebraic Identity
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Example:Frame Linear Equation
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Key Concept: Linear Equations and Their Solution.
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Example:Forming a Quadratic
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Example:Dividing Polynomials
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Example:Find Zeros of Polynomial
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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
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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.
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Example:Find Missing Angle in Quadrilateral
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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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Coordinate 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
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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
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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
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Application of Determinants:Find Area
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Example:Solve System of Equations using Matrix Method
Geometry
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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: Coordinate Axes and Coordinate Planes
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Example:3D Geometry Prove Points are Collinear
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Example: 3D Geometry  Find ratio using Section Formula
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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
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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
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Example:Finding Equation of a Line Parallel to Vector
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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
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Example:Finding Intercepts Cut off by a Plane
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Example:Finding Distance of a Point from Plane
Statistics and Probability
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Example:Based on Permutation (Arrangement of Letters)
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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
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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
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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
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Example:Practical Problem on Union & Intersection of Sets
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Example:Write in Set Builder Form
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Example:Solving Minimization Linear Programming Problem(LPP)
Graphically
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Key Concept: Introduction to Linear Programming
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Example:Solving Maximization Linear Programming Problem(LPP)
Graphically
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Example:Form and Solve Linear Programming Problem(LPP)
Functions
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Example:Finding Domain & Range
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Example:Cartesian Product of Two Sets
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Example :Introduction to Trigonometry
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Example:Prove Trigonometric Identity
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Example:Solving Trigonometric Equation
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Example:Finding Limit
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Example:Find Limit if Exist
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Example:Find Derivative using First Principle
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Example:Finding Inverse of a Function
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Example:Prove Equivalence Relation
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Example:Find Domain and Range
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Example:Find Principle Value of Function
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Example:Evaluate Inverse Trigonometry function
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Example:Solve Inverse Trigonometric Function
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Example:Points of Discontinuity
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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
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Application of Derivative:Increasing & Decreasing Function
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Application of Derivative: Verify Lines are Parallel
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Application of Derivative:Finding Maxima or Minima
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Example:Finding Integral
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Example:Evaluate Integral using Substitution
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Example:Evaluate integral of Trigonometric Function
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Example:Integration by Parts
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Example: Evaluate Definite integral
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Example:Solve Definite Integral using Properties
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Example:Solve Definite Integral using Properties
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Example:Finding Area Between Curve and Line
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Example:Finding Area Between Curves
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Example:Solve Differential Equation using Variable Separable
method
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Example: Find Order and Degree of Differential Equation
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Example:Form Differential Equation
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Example:Solving Homogeneous Differential Equation
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Example:Solving Equation using Integrating Factor
Fundamentals of Mathematics  Compressed PreAlgebra with Basic Mathematics  PreAlgebra  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: GTMA1  College Algebra  Turbo Algebra  Financial Mathematics  College Trigonometry  Finite Mathematics  Survey of Calculus  Introduction to Statistics  Integrated Math I  Integrated Math II  PreCalculus  Computer Applications for Statistical Procedures  Calculus I  Calculus II  Calculus III  Calculus III with Engineering Applications  Linear Algebra  Discrete Mathematics