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Classes - color coded, Fractions, Knowing our number, Playing with numbers…

- - - - Formula for finding roots
    - - Completing square
      - Factorization
- - - - Consistent and Inconsistent
      - Dependent and Independent
    - - Elimination
      - Cross multiplication
      - Substitution
- - - - Graphical representation
      - Definition
      - Solving using proportionality constants
        
        Real life example
      - Variable
    - - Definition
      - Variable
      - Graphical representation
      - Solving
        
        Real life examples
- - - - Characteristics and properties
      - Patterns and observations
    - - Notation
      - For perfect quare
      - Approximating square roots
      - Methods
        
        Prime factorization
        
        Long division
      - Intro to pythogoras
  - - - Properties and characteristics
      - Patterns and observations
      - Finding cube of a number
    - - Definition and notation
      - for perfect cube numbers
      - Approximating cube roots
      - Finding cube root
        
        Prime facotrization
        
        Long division
  - - - degree of them
    - - Standard algebraic identities (e.g., (a + b)^2, (a - b)^2, a^2 - b^2)
        
        Visualizing
      - Using this to simplify expressions
  - - - Multiplying and dividing powers with the same base
      - Zero exponent
      - Negative exponent
        
        Powers with negative exponents
    - - Converting numbers from standard to scientific notation and vice versa
    - - Then large numbers using powers of 10
  - - - Another method : trail and error
- - - - Cone + Hemisphere
      - Cylinder + Cone
      - Cuboid + Cone
      - Cylinder + hemisphere
- - - - And its properties
  - - - Angle of depression
      - Angle of elevation
      - Line of sight
- - - - Percentage
        
        Converting fractions/decimals to Percentage
        
        Estimation
        
        When denominator is not 100
      - Use of %
        
        % ⇔ how many
        
        Ratios to %
        
        Increase or decrease as %
      - Profit or loss %
        
        CP < SP ; CP = SP ; CP > SP
      - Simple interest
        
        Amount = Principal + Interest
        
        for multiple years
    - - Need for Rational Numbers
      - What are Rational Numbers ?
        
        Numerator and Denominator
        
        Equivalent rational numbers
      - Comparison of Rational Numbers
      - Rational Numbers between 2 Rational Numbers
      - Operations on Rational Numbers
        
        Multiplication
        
        Division
        
        Addition
        
        Additive Inverse
        
        Subtraction
      - +ve and -ve Rational Numbers
      - Rational Numbers on a number line
      - Rational Numbers in Standard form
    - - Multiplication of Fractions
        
        Fraction X Fraction
        
        Fraction X Whole numuber
      - Division of Fractions
        
        Fraction ÷ Whole Number
        
        Fraction ÷ Fraction
        
        Whole number ÷ Fraction
  - - - Multiplying Powers with the Same Base
      - Dividing Powers with the Same Base
      - Taking Power of a Power
      - Multiplying Powers with the Same Exponents
      - Dividing Powers with the Same exponents
- - - - Angle sum property
    - - Sum of lengths of 2 sides
      - Right-angles triangles and Pythagoras property
  - - - Area of parallelogram
        
        different types represented in graph sheet
        
        Perimeter of parallelogram
        
        base ; height
      - Area of triangle
        
        Congruent triangles → equal area but not the other way
      - Circles
        
        Circumference (2πr) and Area (πr^2)
    - - Line symmetry in real life examples
      - Lines of symmetry for regular polygons
      - Rotational symmetry
        
        Centre of rotation
        
        Angle of rotation (90-180-270-360)
    - - Building on : Plane figures and solid shapes
      - Faces, Edges and Vertices
      - Nets for building 3D shapes
      - Drawing solids on Flat surface
        
        Oblique Sketches
        
        Isometric Sketches
        
        Visualising Solid Objects
      - Viewing Different Sections of a Solid
        
        One Way to View an Object is by Cutting or Slicing game
        
        Another Way is by Shadow Play
        
        A Third Way is by Looking at it from Certain Angles to Get Different Views
  - - - Complementary Angles
      - Supplementary Angles
    - - Transversal
      - Angles made by a Transversal
      - Intersecting Lines
    - - Transversal of Parallel Lines
- - - - Terminating and non-terminating
- - - - Factor Theorem
      - Splitting the middle term
- - - - coordinate
        axes
        
        y-coordinate = ordinate
        
        x-coordinate = abscissa
      - Quadrants
        
        2) (-, +)
        
        3) (-, -)
        
        4) (+, -)
        
        1) (+,+)
  - - - Bar gharph
      - Histograms
      - Frequency polygons
        
        'Class mark' = midpoints of intervals
- - - - Some Properties of a Triangle
        
        Isosceles - relation between same sides to angles and vice-versa
        
        Equilateral triangle - angles
      - Criteria for Congruence of Triangles
        
        SAS ; ASA ; AAS ; SSS ; RHS
      - Congruence in general
    - - Area of Triangle using sides only
        
        Connection
  - - - Its properties
    - - Its properties
    - - 'equidistant' chords
  - - - TSA and CSA
    - - Build on from circle
      - Only SA
    - - TSA and CSA formula
      - Build on from circle
- - - - Rectangle
      - Square
      - Rhombus
      - Trapizium
      - Parallelogram
  - - - Trapizium
      - quadrilateral
      - Polygon
    - - Surface areas
      - Volume
- - - - in price as well