Chapters |
Important Topics |
Integers |
Introduction, Recall, Properties of addition and subtraction of integers, multiplication of integers, properties of multiplication of integers, division of integers, properties of division of integers, |
Fractions and decimals |
Introduction, How well have you learned about fractions, Multiplication of fractions, division of fractions, How well have we learned about decimals, multiplication of decimal numbers, division of decimal numbers, |
Data handling |
Introduction, collecting data, organisation of data, Representative values, arithmetic mean, mode, median, use of bar graphs with a different purpose, chance and probability |
Simple equations |
A mind-reading game, setting up of an equation, review of what we know, what equation is, more equations, from solution to equation, application of simple equation to practical situation, |
Lines and angles |
Introduction, related angles, pair of lines, checking of parallel lines, |
The triangle and its properties |
Introduction, medians of a triangle, altitudes of a triangle, exterior angle of a triangle and its properties, angle sum property of a triangle, two special triangles: equilateral and isosceles, sum of the lengths of two sides of a triangle, right angled triangle and pythagoras property, |
Congruence of Triangles |
Introduction, congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles, criteria for congruence of triangles, congruence among right-angled triangles. |
Comparing quantities |
Introduction, equivalent ratios, Percentage - another way of comparing quantities, use of percentages, prices related to an item or buying and selling, charge given on borrowed money or simple interest. |
Rational numbers |
Introduction, need for rational numbers, what are rational numbers, positive and negative rational numbers, rational numbers on a number line, rational numbers in standard form, comparison of rational numbers, rational numbers between two rational numbers, operations of rational numbers |
Practical Geometry |
Introduction, construction of a line parallel to a given line, through a point not on the line, Construction of triangles, Constructing a triangle when lengths of its three sides are known (SSS criterion), Constructing a triangle when the lengths of two sides and the measure of the angle between them are known (SAS criterion), Constructing a triangle when the measures of two of its angles and the length of the side included between them is given (ASA criterion), Constructing a rightangled triangle when the length of one leg and its hypotenuse are given (RHS criterion). |
Perimeter and area |
Introduction, Squares and rectangles, Area of a parallelogram, area of a triangle, circles, Conversion of units, Applications. |
Algebric expressions |
Introduction, how are expressions formed, terms of an expression, like and unlike terms; monomials, binomials, trinomials and polynomials, finding the value of an expression. |
Exponents and Powers |
Introduction, exponents, laws of exponents, miscellaneous examples using the laws of exponents, decimal number system, expressing large numbers in the standard for. |
Symmetry |
Introduction, lines of symmetry for regular polygons, rotational symmetry, line symmetry and rotational symmetry. |
Visualising solid shapes |
Introduction: plane figures and solid shapes, faces, edges and vertices; nets for building 3-d shapes, drawing solids on a flat surface, viewing different sections of a solid. |