Video Tutorial Grade 9 Mathematics

Grade 9 Math Tutorial – Complete Video Course

Grade 9 Math Video Tutorials

Master every concept with our comprehensive video lessons

Number Systems

Review of representation of natural numbers, integers, rational numbers on the number line

Learn how to represent different types of numbers on the number line with proper scale and precision.

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Rational numbers as recurring/terminating decimals

Understand how rational numbers can be expressed as decimals that either terminate or repeat.

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Operations on real numbers

Master addition, subtraction, multiplication and division of real numbers with examples.

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Examples of non-recurring/non-terminating decimals

Explore decimals that neither terminate nor repeat and understand their significance.

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Existence of non-rational numbers (irrational numbers) such as √2, √3, and their representation on the number line

Discover irrational numbers and learn techniques to represent them on the number line.

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Rationalization (with precise meaning) of real numbers

Learn the process of rationalization to eliminate radicals from denominators.

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Laws of exponents for real numbers

Understand and apply the fundamental laws governing exponents with real numbers.

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Polynomials

Definition of polynomial in one variable

Learn what constitutes a polynomial and understand its basic structure.

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Coefficients, terms and degree of a polynomial

Identify and understand the components that make up a polynomial expression.

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Types of polynomials (zero, linear, quadratic, cubic)

Classify polynomials based on their degree and understand their characteristics.

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Monomials, binomials, trinomials

Learn to categorize polynomials based on the number of terms they contain.

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Addition, subtraction and multiplication of polynomials

Master the fundamental operations with polynomial expressions.

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Division algorithm for polynomials (restricted to polynomials with linear divisor)

Understand how to divide polynomials using the division algorithm method.

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Coordinate Geometry

The Cartesian plane

Understand the coordinate system and the two-dimensional plane.

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Coordinates of a point

Learn how to read and write coordinates to locate points on the plane.

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Names and signs of the quadrants

Identify the four quadrants and understand the sign conventions in each.

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Plotting points in the plane

Practice marking points on the Cartesian plane using their coordinates.

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Linear Equations in Two Variables

Linear equations in two variables

Understand the standard form and properties of linear equations with two variables.

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Graph of a linear equation

Learn to plot linear equations and interpret their graphical representations.

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Examples and problems from real life, including age and number problems

Apply linear equations to solve practical problems from everyday situations.

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Introduction to Euclid’s Geometry

Euclid’s approach to geometry

Explore the historical development and fundamental concepts of Euclidean geometry.

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Definitions, axioms, and postulates

Understand the building blocks of geometric reasoning and proof.

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Equivalent versions of Euclid’s fifth postulate

Examine the parallel postulate and its significance in geometry.

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Lines and Angles

Intersecting and non-intersecting lines

Learn about different types of lines and their relationships in space.

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Pairs of angles: complementary, supplementary, adjacent, linear pair, vertically opposite angles

Identify and classify different angle pairs and understand their properties.

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Properties of angles when two lines intersect or when a transversal crosses two lines

Discover the angle relationships formed by intersecting lines and transversals.

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Lines parallel to the same line are parallel to each other

Understand the transitive property of parallel lines and its applications.

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Angle sum property of a triangle

Prove and apply the fundamental property that the angles of a triangle sum to 180°.

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Triangles

Congruence of triangles

Understand what it means for two triangles to be congruent and how to prove it.

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Criteria for congruence: SSS, SAS, ASA, RHS

Learn the different conditions under which triangles are congruent.

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Properties of a triangle—inequalities, angles, and sides

Explore the relationships between angles and sides in any triangle.

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Triangle inequality theorem

Understand why the sum of any two sides of a triangle must be greater than the third side.

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Inequality relations between sides and angles

Learn how side lengths relate to opposite angle measures in a triangle.

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Quadrilaterals

Angle sum property of quadrilateral

Discover why the interior angles of any quadrilateral sum to 360°.

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Types of quadrilaterals and their properties

Learn about parallelograms, rectangles, squares, rhombuses, trapezoids and kites.

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Mid-point theorem

Understand and apply the theorem about the segment joining midpoints of two sides of a triangle.

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Areas of Parallelograms and Triangles

Meaning of area

Understand the concept of area as a measure of two-dimensional space.

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Area of a triangle using base and height

Learn and apply the fundamental formula for calculating triangle areas.

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Area of parallelograms

Discover how to calculate the area of parallelograms using base and height.

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Relationship between the areas of a triangle and parallelogram with the same base and between the same parallels

Explore the interesting relationship between these two areas under specific conditions.

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Circles

Definitions related to circles: chord, arc, diameter, radius, secant, sector, segment

Learn the terminology and basic elements of circle geometry.

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Angle subtended by a chord at a point

Understand how chords create angles at various points on the circle.

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Perpendicular from the center to the chord

Discover properties of the perpendicular drawn from the center to a chord.

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Circle through three points

Learn how to construct and understand the uniqueness of a circle passing through three non-collinear points.

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Equal chords and their distances from the center

Explore the relationship between chord length and its distance from the center.

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Cyclic quadrilaterals

Understand the properties of quadrilaterals that can be inscribed in a circle.

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Constructions

Basic constructions using a ruler and compass

Master fundamental geometric constructions with minimal tools.

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Construction of bisectors of line segments and angles

Learn to accurately bisect lines and angles using geometric construction techniques.

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Construction of triangles using ASA, SSS, SAS criteria

Construct triangles when given specific measurements and conditions.

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Heron’s Formula

Heron’s formula for finding the area of a triangle

Learn to calculate triangle area using just the lengths of its three sides.

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Application of Heron’s formula in real-life contexts

See how this ancient formula solves practical area measurement problems.

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Surface Areas and Volumes

Surface areas and volumes of cubes, cuboids, spheres, hemispheres, right circular cylinders/cones

Learn the formulas and methods to calculate surface area and volume for common 3D shapes.

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Conversion of units

Master the skill of converting between different units of measurement for length, area and volume.

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Statistics

Collection and presentation of data (tabular form)

Learn methods for gathering data and organizing it effectively in tables.

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Graphical representation: bar graphs, histograms (with uniform width), and frequency polygons

Understand different ways to visualize data for better interpretation and analysis.

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Measures of central tendency: mean, median, mode (of ungrouped data)

Calculate and interpret the three fundamental statistical measures that represent the center of a data set.

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Probability

History, scope and meaning of probability

Explore the origins and fundamental concepts of probability theory.

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Experimental (empirical) probability

Understand probability through actual experiments and observed frequencies.

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Simple problems based on single events

Solve basic probability questions involving single occurrences.

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