Course Content
1: Number Systems
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Intro to rational & irrational numbers
00:00
Classifying numbers
00:00
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Converting a fraction to a repeating decimal
00:00
Converting repeating decimals to fractions (part 1 of 2)
00:00
Converting repeating decimals to fractions (part 2 of 2)
00:00
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Sums and products of irrational numbers
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Worked example: rational vs. irrational expressions
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Intro to rational Exponents
00:00
Rewriting roots as rational exponents
00:00
Evaluating fractional exponents
00:00
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Polynomials
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Polynomials intro
00:00
The parts of polynomial expressions
00:00
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Zeros of polynomials introduction
00:00
Zero product property
00:00
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Factor theorem – Application of remainder theorem
00:00
Strategy in factoring quadratics (part 1 of 2)
00:00
Strategy in factoring quadratics (part 2 of 2)
00:00
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Polynomial identities introduction
00:00
Factoring difference of squares: two variables (example 2)
00:00
Factoring quadratics as (x+a)(x+b)
00:00
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Encompassing some identities
00:00
Problems on cubic and trinomial identities
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Coordinate geometry
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Introduction to the coordinate plane
00:00
Points and quadrants example
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Finding the point not graphed
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Linear equations in two variables
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Two-variable linear equations intro
00:00
Intro to linear equation standard form
00:00
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Worked example: solutions to 2-variable equations
00:00
Completing solutions to 2-variable equations
00:00
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Introduction to Euclid’s geometry
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Euclid as the father of geometry
00:00
Lines, line segments, & rays
00:00
Euclidean postulates 1 and 2
00:00
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Lines and Angles
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Straight and Right angles
00:00
Acute, Obtuse and Reflex angles
00:00
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Complementary & supplementary angles
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Vertical angles
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Vertical angles are congruent proof
00:00
Adjacent angles, linear pair of angles
00:00
Transversal and 3 parallel lines
00:00
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Triangles
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Corresponding parts of congruent triangles are congruent
00:00
Triangle congruence postulates/criteria
00:00
Why SSA isn’t a congruence postulate/criterion
00:00
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Proving triangle congruence
00:00
What is RHS congruency and Why RHS works
00:00
Proofs concerning isosceles triangles
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Quadrilaterals
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Proof: Opposite sides of a parallelogram
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Proof: Opposite angles of a parallelogram
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Proof: Diagonals of a parallelogram
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Midpoint theorem
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Converse of midpoint theorem
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Circles
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Proof: When two chords subtend equal angles at the centre, the chords are equal
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Proof: Equal chords subtend equal angles
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Proof: radius is perpendicular to a chord it bisects
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Proof: perpendicular radius bisects chord
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Proof: Equal chords are equidistant from the center
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Inscribed angles
00:00
Inscribed angle theorem proof
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Inscribed quadrilaterals proof
00:00
Solving inscribed quadrilaterals
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Heron’s Formula
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Heron’s formula
00:00
Surface area and volumes
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Surface area of a cone: Computation
00:00
Surface area of sphere: computation and sense of formula
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Volume of a cone
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Computing Volume of a cone
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Volume of a sphere
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Solving for volume of a Sphere
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Statistics
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Creating a bar graph
00:00
Why chose scale? Drawing Bar graph
00:00
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Interpreting a histogram
00:00
Creating a histogram
00:00
Drawing a frequency polygon
00:00
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NCERT Math Class 9

 

 

 

 

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