Die Afrikaanse Protestantse Akademie Biblioteek

Real number system. Rational numbers. Irrational numbers. Order and density. Interval notation and inequalities. Exponents. Scientific notation. Polynomials. Degree of a polynomial. Substitution. Addition, subtraction and multiplication of polynomials. Product of two binomials. Multiplication of two binomials by inspection. Squaring a binomial. Multiplication of the sum and difference of two terms. Simplification by multiplication and addition. Multiplication of more involved expressions. Square roots of monomials. Factors. Common factors. Using common fractors in factorisation. Difference of two squares. Trinomials. Mensuration. Volumes of rights prisms. Ratio of the volumes of similar solids. Packaging and perception. Surface areas of right prisms. Cross sections of solids. Fractions. Special properties of zero, one. Simplification of fractions. Multiplication and division of fractions. Addition of fractions. The lowest common denominator (LCD). Addition and subtraction of fractions. Equations. Solving equations by inspection, formally, by trial and improvement, using a calculator. Equations with fractions. Zero denominators. Graphs. Cartesian plane. Variation. Graphing data in the Cartesian plane. Proportion. Solving problems involving direct proportion. The graphical representation of direct proportion. Constant speed and average speed. Indirect proportion. Solving problems involving inverse proportion. Similar and congruent figures. Similar figures. Similar triangles. Practial applications of similar triangles. The concept of congruency. Congruency of triangles. The straight line graph and solutions of simultaneous equations. The table method of sketching a straight line. The dual-intercept method of sketching a straight line. Parallel lines. The intercept on the y-axis. Simultaneous equations. Problem-solving strategies. Solving problems involving number, money, perimeter, area and volume. Solving problems involving time by using algebraic equations. Statistics. The graphical representation of data. Taking a critical view. Mean, median and mode (Representative values). Range. Further ways of representing data. Mean deviation. Quadrilaterals. Sums of angles. The rectangle and the square. The parallelogram. The rhombus. The kite. The trapezium. Classification and definition. Areas of quadrilaterals. Interest and formulae. Substituting into formulae. Changing the subject of a formula. Simple interest. Compound interest (C.I.). Probability. Everyday probability. Random events. Experiments. Some terminology. The probability scale. Checking up. Sample spaces and events. Probability. Mutually exclusive events and complementary events. Sample spaces using tree diagrams and ordered pairs. Random sampling. Transformation geometry. Translation, reflection and rotation. Order of rotational symmetry and direction of translation. Mural painting, beadwork and basket weaving. Construction of reflected and rotated images. Glide reflection and congruence. Creating Escher-like designs. Computer graphics. Using coordinates in reflection, rotation, translations and glide reflections.