Class 8 Mathematics

Students will define rational numbers and represent them on a number line, differentiating them from integers and fractions.

Students will investigate the closure and commutative properties for addition and multiplication of rational numbers.

Students will explore the associative and distributive properties of rational numbers and apply them to simplify expressions.

Students will identify and apply additive and multiplicative inverses to solve equations and simplify expressions.

Students will learn various methods to find rational numbers between any two given rational numbers.

Students will define exponents, base, and power, and write numbers in exponential form.

Students will apply the laws of exponents for multiplying and dividing powers with the same base.

Students will master the power of a power rule and understand the definition of a zero exponent.

Students will understand negative exponents and their relationship to reciprocals, converting between positive and negative exponents.

Students will express very large numbers in standard and scientific notation, understanding its utility.

Students will express very small numbers in standard and scientific notation, applying it to microscopic scales.

Students will identify perfect squares and understand their properties, including patterns in unit digits.

Students will calculate square roots of perfect squares using the prime factorization method.

Students will define linear equations in one variable and understand the concept of balancing an equation.

Students will solve linear equations where the variable appears only on one side using inverse operations.

Students will solve linear equations where the variable appears on both sides of the equality.

Students will translate real-world problems into linear equations and solve them.

Students will define algebraic expressions, terms, coefficients, and variables.

Students will multiply monomials by monomials, and monomials by polynomials.

Students will multiply binomials by binomials and trinomials using the distributive property.

Students will derive and apply the identities for the square of a sum and the square of a difference.

Students will derive and apply the identity for the product of a sum and a difference.

Students will derive and apply the identity for the product of two binomials with a common term.

Students will factorize algebraic expressions by taking out common monomial factors.

Students will classify polygons based on sides and angles, and apply the angle sum property for polygons.

Students will explore the properties of exterior angles of polygons and their constant sum.

Students will identify and describe the properties of parallelograms, including their diagonals.

Students will differentiate between rhombus, rectangle, and square based on their unique properties.

Students will identify and describe the properties of trapeziums and kites.

Students will construct quadrilaterals when four sides and one diagonal are given.

Students will construct quadrilaterals when two diagonals and three sides are given.

Students will construct quadrilaterals when two adjacent sides and three angles are given.

Students will construct specific quadrilaterals like squares, rectangles, and rhombuses given minimal information.

Students will identify and count faces, edges, and vertices of common 3D shapes.

Students will derive and apply the formula for the area of a trapezium.

Students will derive and apply formulas for the area of a rhombus and general quadrilaterals.

Students will calculate the area of irregular polygons by dividing them into simpler shapes.

Students will calculate the total and lateral surface area of cubes and cuboids.

Students will calculate the total and lateral surface area of cylinders.

Students will calculate the volume of cubes and cuboids and understand units of volume.

Students will define data, understand raw data, and construct frequency distribution tables.

Students will create grouped frequency distribution tables for large data sets with class intervals.

Students will construct and interpret histograms for continuous grouped data.

Students will construct pie charts to represent data as parts of a whole.

Students will interpret information presented in pie charts and draw conclusions.

Students will define random experiments, outcomes, and sample space.

Students will review ratios and percentages and apply them to real-world comparisons.

Students will calculate profit, loss, and discount percentages in business scenarios.

Students will calculate sales tax and VAT and understand their application.

Students will calculate simple interest, principal, rate, and time.

Students will understand compound interest and calculate it for a few periods.

Students will apply compound interest formulas to real-world financial problems.

Students will identify and solve problems involving direct proportion.

Students will identify and solve problems involving inverse proportion.

Students will understand the Cartesian plane, coordinates, and plotting points.

Students will plot linear graphs from tables of values and interpret their meaning.