
Learn what is line, line segment and ray
Study - What are angles and different types of angles
Study - Complementary angles and Supplementary angles
Learn about adjacent angles
Learn about Linear Pair
Study - intersecting lines, point of intersection, collinear points and non collinear points
study vertically opposite angles and transversal
study angles made by transversal
Learn about corresponding angles
how to identify alternate interior angles
Study about transversal of parallel lines and angles made by it
important result related to interior angles
study shortcut to find corresponding angles
Learn shortcut to identify alternate interior angles
Learn points related to parallel lines
Lines and Angles Practice questions
Lines and Angles Practice questions
Tackle practice questions on lines and angles, identifying adjacent angles, determining linear pairs and supplementary relations, and locating vertically opposite angles in a shared vertex figure.
Practice identifying vertically opposite angles and linear pairs formed by intersecting lines, using supplementary relationships to find angle measures such as x=75°, z=105°, and y=105°.
Learn how exponents express repeated multiplication of a base, using examples like a squared, a cubed, and higher powers, including products like a^4 b^2 and a^3 b^3.
Master the rule for multiplying powers with the same base by adding exponents, with examples such as 3^2 times 3^3 and -2^4 times -2^3, and generalization a^m a^n = a^{m+n}.
Explore the rule for dividing powers with the same base by subtracting exponents, with examples from 2, 5, 3, 19, and -21, and generalize to nonzero integer a.
Apply the power of a power rule by multiplying exponents when raising a power, so (a^m)^n = a^(mn) for any nonzero base a and whole-number m and n.
Apply the rule of exponents: dividing powers with the same exponent equals (a/b)^m, for nonzero integers a and b and a whole number exponent m.
Discover the rule that any nonzero number raised to the power zero equals one, with examples like 5^0, -3^0, and 275^0.
Practice exponents and powers using the laws of exponents, including power of a power as well as product and quotient rules, with examples from the lecture.
Practice exercises on exponents and powers, showing how to simplify expressions using zero exponents, and product, quotient, and power rules, culminating in a final a^3 b.
Practice expressing numbers as products of prime factors in exponential form, and factor numbers like 108 and 192 to add exponents for matching bases.
Introduction to polygon and types of polygons
Diagonals of a polygon and interior of a curve
Concave polygons and Convex polygons
Regular polygons and Irregular polygons
Property related to quadrilateral and polygon
Trapezium
Kite
Parallelogram and its elements
Property of a parallelogram and proof of a property
Property of a parallelogram and its proof
Property of a parallelogram and its proof
Property of a parallelogram and its proof
rectangle and its properties
Square and its properties
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Closure property under addition
Closure property under subtraction
Commutative Property under addition
Commutative Property under subtraction
Associative Property
Multiplication of two integers and additive identity
Multiplication of two negative integers
Multiplication of three or more negative integers
Closure property under multiplication
Closure property under multiplication
Multiplication by Zero, Multiplicative Identity and how to find additive inverse of an integer
Associativity for multiplication
Distributivity for Multiplication over Addition
Distributivity of Multiplication over Subtraction
Learn how to divide integers, including negative and positive cases. Remember that negative by negative yields a positive quotient, and otherwise place the minus sign after dividing.
Division properties of Integers
Associative Property of Integers under Division
numerical coefficient and coefficient of a term
like terms and unlike terms
Monomial, binomial, trinomial, polynomial
steps to find like terms
adding like terms
subtracting like terms
adding algebraic expressions
subtraction of two algebraic expressions
value of algebraic expressions
practice questions
Identify terms and their factors in algebraic expressions and visualize them with tree diagrams, exploring expressions like x-3, 1+x+x^2, y-y^3, 5xy^2+7x^2y, and -ab+2b^2-3a^2.
Identify terms and factors in algebraic expressions, including expressions with multiple terms and constants, and recognize factors like x, y, a, b, p, q.
Identify numerical coefficients of terms in algebraic expressions and distinguish constants from variables across varied examples.
Learn to add algebraic expressions by identifying monomials, grouping like terms, and applying signs when opening brackets to simplify to a single expression.
Learn to subtract algebraic expressions by opening brackets and flipping signs, then combine like terms across examples with y, x, a, b, and m, yielding 6y^2, -18xy, and -2ab.
Combine two algebraic expressions containing x and x squared by adding them, opening brackets to apply signs, and subtracting the second sum to collect like terms, ending with zero.
Evaluate algebraic expressions by substituting values for p and x. See examples with p = -2 and x = -1, including 4p+7, -3p^2+4p+7, and 2x^2-x-2.
Substitute the given values for a and b to evaluate algebraic expressions. The lecture demonstrates computing squares, products, and sums, yielding results like 8, 4, 0, -2, 2, and 0.
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trigonometric ratios of 45 degrees
trigonometric ratios of 30 degrees and 60 degrees
trigonometric ratios for 0 degrees
trigonometric ratios for 90 degrees
shortcut to draw table of trigonometric ratios for various angles
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Introduction to triangle
Study scalene triangle, isosceles triangle and equilateral triangle
[[[[[[[[ LINES AND ANGLES Topics -
- What is a Line,
- What is a Line segment
- What is a Ray
- Different types of angles ( Acute angle, Obtuse angle, Reflex angle, Right angle and Straight angle ) and what are angles
- Complementary angles and Supplementary angles
- What are Adjacent angles and How to identify Adjacent angles
- What is a Linear pair and how to identify Linear pair angles
- Intersecting lines, What is point of intersection
- What are Collinear points and What are non collinear points
- Vertically opposite angles and What is a Transversal
- Types of Angles made by transversal
- What are Corresponding angles
- What is a Transversal of parallel lines and What are parallel lines
- How to identify alternate interior angles ( Shortcut method )
- Shortcut to find corresponding angles
- Important result related to interior angles
- Points related to parallel lines
]]]]]]]]]]]]
[[[[[[[[[ TRIANGLE Topics
- Introduction to Triangles
- What is Scalene Triangle
- What is an Isosceles Triangle
- What is an Equilateral Triangle
]]]]]]]]]]]]
These topics are essential for geometry basics. Geometry is a vast topic in mathematics but this course is collection of some basics of geometry.
Also Learn in this course ;-
[[[[[[[ [ EXPONENTS AND POWERS
- Introduction
- Rules of Exponents
]]]]]]]]]]
[[[[[[[[[ QUADRILATERALS AND ITS PROPERTIES
- Introduction to Polygons and kinds of polygons
- Regular Polygons and Irregular Polygons
- Concave Polygons and Convex Polygons
- Quadrilateral
- Angle sum property of a Quadrilateral
- Trapezium
- Kite
- Parallelogram and its properties
- Rhombus and its properties
- Rectangle and its properties
- Square and its properties
]]]]]]]]
[[[[[[ Integers topics
Closure property under addition
Closure property under subtraction
Commutative Property under addition
Commutative Property under subtraction
Associative Property
Multiplication of two integers and additive identity
Multiplication of two negative integers
Multiplication of three or more negative integers
Closure property under multiplication
Associativity for multiplication
Distributivity for Multiplication over Addition
Distributivity of Multiplication over Subtraction
Division properties of Integers
Associative Property of Integers under Division
]]]]]
[[[[[[[[[ ALGEBRAIC EXPRESSIONS Topics
- numerical coefficient and coefficient of a term
- like terms and unlike terms
- Monomial, binomial, trinomial, polynomial
- steps to find like terms
- adding like terms
- subtracting like terms
- adding algebraic expressions
- subtraction of two algebraic expressions
- value of algebraic expressions
]]]]]]]]]]]]
[[[[[[[[[ TRIGONOMETRY Topics
- trigonometric ratios of 45 degrees
- trigonometric ratios of 30 degrees and 60 degrees
- trigonometric ratios for 0 degrees
- trigonometric ratios for 90 degrees
- shortcut to draw table of trigonometric ratios for various angles
]]]]]]]]]]]]
After this course completion , you would have sound knowledge of above mentioned topics . Feedbacks are welcomed.