Chapters Maths Easy as Pi Workbook Grade 10 - 12

 

1.       Algebraic expressions and calculations

a.       Rational and irrational numbers

b.       Algebraic expressions and calculations

c.       Algebraic expressions: The meaning of alphabet letters

d.       Algebraic expressions: Terms

e.       Simplify: Plus (+) and minus (–) of similar alphabetical letters

f.        Simplify: Plus (+) and minus (–) of different alphabet letters

g.       Simplify: Multiplication of alphabet letters

h.       Simplify: Multiplication of alphabet letters and numbers where you get ( )s

i.         Simplify: Division with alphabet letters

j.         Simplify and factorise

k.       Four types of factorising

l.         Application

 

2.       Algebraic equations

a.       Linear equations

b.       Quadratic equations

c.       Algebraic equations with fractions

d.       Equations: Square roots on both sides

e.       Algebraic inequalities

f.        Equations in everyday life

 

3.       Rows

 

4.       Series

 

5.       Exponents

a.       Exponents

b.       Simplify exponents with a plus (+) and minus (–) between base numbers

c.       Multiply exponents with the same base number

d.       Multiply exponents with different base numbers

e.       Division of exponents

f.        Exponent laws when multiplying and dividing

g.       Exponents in algebraic fractions

h.       Exponents in our daily lives

 

6.       Functions

a.       Coordinates

b.       Coordinates and quadrants

c.       Completion of coordinates

d.       The shape of functions

e.       Straight line functions

f.        Parabola functions

g.       Hyperbola functions

h.       Exponential functions

i.         Third grade functions

j.         Questions that apply to any function

k.       Functions in everyday life

 

7.       Finances

 

8.       Linear programming

 

9.        Surds

 

10.   The quadratic formula and nature of roots

 

11.   Completion of squares

 

12.   Limits and differentiation

 

13.   Geometry: Lines

a.       The logo concept

b.       Logo 1: Revolutions

c.       Logo 2: Angles on a straight line

d.       Logo 3a: Corresponding angles

e.       Logo 3b: Co-interior angles

f.        Logo 3c: Alternate interior angles

g.       Logo 4: Vertically opposite angles

h.       Logo 5: Secant divided into equal parts by parallel lines will divide a second secant in equal parts

 

14.   Geometry: Triangles

a.       Logo 1: Interior angles of a triangle

b.       Logo 2: Outer angle of a triangle

c.       Logo 3: Congruence (≡)

d.       Logo 4: Angles with opposite equal sides

e.       Logo 5: Line from mid-point of one side, parallel to a second

f.        Logo 6: Similarity

 

15.   Euclidean geometry: Circles

a.       Logo 1: Line from the centre of the circle perpendicular to a chord

b.       Logo 2: Central angle and angle at circumference of a circle

c.       Logo 3: Angles in a semicircle

d.       Logo 4: Angles at the circumference of a circle/Circumferential angles

e.       Logo 5: Opposite angles of a cyclic quadrilateral

f.        Logo 6: Exterior angle of a cyclic quadrilateral

g.       Logo 7: Angle between radius and tangent

h.       Logo 8: Tangents from a fixed point

i.         Logo 9: Angle between a tangent and chord

 

16.   Geometry: Polygons

a.       Quadrilaterals

b.       Polynomials

 

17.   Analytical geometry

a.       Analytical geometry

b.       Logo of Pythagoras

c.       The logo in which straight lines are used in geometry

d.       Refection, rotation and translation logos

e.       Angle of inclination

f.        Circles

g.       Triangles in analytical geometry

 

18.   Trigonometry

a.       Trigonometric ratios

b.       Simplifying angles

c.       Simplifying trigonometric calculations with a calculator

d.       Simplifying trigonometric calculations without a calculator

e.       Simplifying trigonometric expressions

f.        Application of trigonometric rules to triangles that are not right-angled

g.       Proof of sums

h.       Trigonometric equations

i.         Trigonometric graphs (functions)

 

19.   Statistics

a.       Organising raw data

b.       Determining central tendency of data

c.       Dispersion of data

d.       Graphical representation of data

e.       Interpretation of statistical information

 

20.   Probabilities

21.   Pre-Grade 10 maths

a.       Area, perimeter, volume and surface area

b.       Fractions

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