In this lecture, the concept of solving linear equations and application-oriented word problems will be covered. Besides, the concept of solving the equations by substitution method and by the method of combining equations will also be covered. You will also learn the method of finding and expressing the value of one variable in terms of the other and the problems based on finding the values of two unknowns.

This lecture will cover the method of solving combined linear inequalities and the meaning and application of the terms ‘at most’ and ‘at least.’ You will also get an insight into the ordering properties of inequalities and application-based word problems of inequalities. Along with this, the questions based on combining algebraic expressions and finding the value of one in terms of the other will also be covered. The concept of absolute value in equations and inequalities with the interpretation of absolute value inequalities will be well understood both technically and practically, along with the method of solving absolute value equations and inequalities.

This lecture will include the definition and classification of polynomials, various operations on polynomials and factorization of polynomials. It will include the questions based on the sum and difference of two reciprocals and equations with fractions. The concepts of factorization of quadratic equations, product equated to zero and completing the squares will also be covered. You will also understand the method of solving non-factorable quadratic equations, the concept of sum and product of roots of an equation, and the quadratic formula.

In this lecture, the basic concept of quadrants leading to the representation of points will be covered. This will also include the application of the distance formula and mid-point theorem. The concept of slope of a line, including the meaning and practical understanding of three types of slopes, i.e. zero, negative and positive, will also be taken up. The concept of slope will further get applied to parallel and perpendicular lines. You will also understand how to find the equation of lines, write the equation of a line using the graph, and solve a linear inequalities system.

This lecture will give you insight into graphs, the system of linear equations, and graphing a linear inequality along with the graphing of linear equations. You will also understand the concept of linear functions and solve the word problems based on the same.

The concept of functions will be covered comprehensively in this lecture, including linear functions, equations as functions, composite functions, and zeros of a function. You will learn the concept of domain and range of functions and solve the questions based on finding the value of a function at a specific point.

This lecture will cover the concept of percentage and its applications, including the questions based on finding the required percentage of a given number, finding the given number is what percentage and finding one number is what percentage of the other. The concept of percentage change, including percentage increase and decrease, will also be covered, leading to the knowledge of solving questions based on finding the number before or after the given percentage change and finding the percentage change given the old and new values of a number. The other concept included in this lecture is the unitary method for solving unit cost problems, motion-based problems and work-done-based problems.

This lecture will include the concept of ratios of two numbers and that of three numbers. You will get insight into the concept of direct and inverse variation and the method of dividing a given sum in a particular ratio. The other concept that will be focused on is probability and conditional probability, along with the concept of units of measurement and their conversions. The questions covered will be based on the conversion of kmph to mps and other conversions along with scientific notations.

This lecture will cover the concept of linear functions, interpreting the parts of a linear model and graphs as models, and the concept of exponential functions leading to exponential change both graphically and algebraically, exponential growth and decay. You will also learn the concept of scatterplots and sampling, which includes recognizing the type of association reflected by the scatterplot and the line of best fit. The section will also cover concepts of unbiased versus biased samples, the margin of error and confidence intervals.

This lecture will cover the concept of numbers, including the basic definitions, surds, indices, square roots and factors, and the concept of various types of graphs and tables, including line graphs, bar graphs, and pie charts. How to answer questions based on ratios, percentages, and absolute values in the case of different types of graphs using tricks and shortcuts and similar questions will be addressed for students to understand.

In this lecture, the concept of Arithmetic mean, median and mode, and combined mean and weighted average. Besides, the section will cover different questions from graphs, Normal Distribution, Concept of range and standard deviation and questions based on transforming the entire data set.

This lecture will cover the concept of exponents: zero, negative or fractional, along with the concept of radical equations, exponential equations, and equations with fractional exponents. You will also learn the concepts of factoring by grouping the pairs of terms, zeros of a function, remainders and factors of polynomials, simplifying complex fractions and solving fractional equations.

This lecture will cover the concept of complex numbers, including the definitions, properties, simplifying the higher powers of iota and finding the complex conjugate of a given complex number. It will also cover the concept of parabola and its equations. Here, you will learn how to find the vertex of a parabola, equations of line of symmetry, matching up pair of parabola points, vertex form of parabola equation, rewriting parabola equations, modelling projectile motion and solve the non-linear system of equations.

In this lecture’ mainly the visual concept of functions will be covered, including reflecting graphs of functions, translating graphs of functions, the graph of y = modulus x, and combining horizontal and vertical shifts in graphs.

This lecture will be based on the concepts of lines, angles, polygons and triangles, including the various types of triangles like isosceles triangles, equilateral triangles, right-angled triangles, special right-angled triangles, (30^o,60^o,90^o) &(45^o,45^o,90^o). Other than these, similar triangles, inequalities in triangles and side length restrictions in a triangle will also be covered.

This lecture will cover the concept of area of plane figures, including properties and areas of parallelogram and rectangles, areas of rhombus and squares, areas of triangles, hexagon and trapezoid. This volume of solid figures, including cuboid, cylinder, cone, pyramid and sphere, will also be covered. You will also learn the concept of circles and their equations, including the terminology, angles and arcs, tangents, radii, chord and diameter, circle, area of shaded regions, and formulas of area and circumference of a circle that of a sector.

This lecture will mainly cover the concept of basic trigonometry and the unit circle. The basic trigonometry will include the measurement of angles in radians and degrees and their conversions, right-angled triangle trigonometry with knowledge of basic trigonometric functions- Sin A, Cos A and Tan A, co-function relationships, use of trigonometry in indirect measurements, angles in standard position, defining trigonometric functions using coordinates, signs of trigonometric functions in the four quadrants, angles greater than 2 pie radians and reducing angles of trigonometric functions. Under the unit circle concept, you will learn its definition and its various applications like the range of values of sin and cosine functions, periodic functions, symmetry in a unit circle, and general reduction relationships in basic trigonometric functions.