MATSYLBSF2
i.
Exponents
§ List the laws
of exponents
§ Verify the laws
of exponents
§ Apply laws of
exponents in computations
ii.
Radicals
§ Simplify
radicals
§ Perform basic
operations on radicals
§ Rationalize the
denominator
§ Read square
roots and cube roots of numbers from mathematical tables
iii.
Transposition of Formula
§ Re-arrange
letters so that one letter is the subject of the formula
§ Transpose a
formulae with square roots and square
i.
Binary Operations
§ Describe the
binary operations
§ Perform binary
operations
ii.
Brackets in Computation
§ Perform basic
operations involving brackets
§ Simplify
algebraic expressions involving the basic operations and brackets
iii.
Quadratic Expressions
§ Form a
quadratic expression from two linear factors
§ Write the
general form of quadratic expression
iv.
Factorization
§ Factorize
linear expressions
§ Factorize
quadratic expressions
i.
Solving Equations
§ Determine the
solution of a quadratic equation by factorization
§ Find the
solution of a quadratic equation by completing the square
ii.
General Solution of Quadratic Equations
§ Derive the
quadratic formula
§ Solve quadratic
equations using quadratic formula
i.
Standard Form
§ Write numbers
in standard form
§ Perform
computations which involved multiplication and division of numbers expressed in
standard form
ii.
Laws Of Logarithms
§ State the laws
of logarithms
§ Verify the laws
of logarithms using the knowledge of exponents
§ Use the laws of
Logarithms to simplify logarithmic expressions
§ Solve
logarithmic equation
§ Apply laws of
logarithms to find products, quotients, roots and powers of numbers
§ Apply
logarithmic tables to find products and quotients of numbers computation
§ Apply
logarithmic tables to find roots and power of numbers
i.
Congruence of Triangles
§ Determine the
conditions for congruence of triangles
§ Prove
congruence of triangle
§ Apply theorems
on congruence of triangles to solve related problems
i.
Similar Figures
§ Identify
similar polygons
§ Prove
similarity theorems of triangles
i.
Reflection
§ Describe the
characteristics of reflection in a plane
§ Represent
different reflections by drawings
ii.
Rotations
§ Describe
characteristics of a rotation on a plane
§ Represent
different rotation on a plane by drawings
iii.
Translation
§ State
properties of translations
§ Represent
translations drawings
iv.
Enlargement
§ Develop a scale
of enlargement
§ Construct
enlargement of a given figures
§ Draw figures to
scale
§ Find actual
distances represented by a scale drawings
v.
Combined Transformations
§ Draw combined
transformations
§ Solve simple
problems on combined transformations
i.
Proof of Pythagoras Theorem
§ Prove the
Pythagoras theorem
ii.
Application of Pythagoras Theorem
§ Apply the
Pythagoras theorem to solve daily life problems
i.
Trigonometric Rations
§ Define sine,
cosine and tangent of an angle using a right angled triangle
ii.
Trigonometric Ratios of Special Angles
§ Determine the
sine, cosine and tangent of 30°, 45° and 60° without using mathematical tables
§ Solve simple
trigonometric problems related to special angles
iii.
Trigonometric Tables
§ Read the
trigonometric ratios from tables
§ Solve problems
involving trigonometric ratios from tables
iv.
Angles of Elevation and Depression
§ Demonstrate
angles of elevation and angles of depression
§ Solve Problems
involving angles of elevation and angles of depression
i.
Description of a Set
§ Define a set
§ List the
members of a set
§ Name a set
§ Distinguish
sets by listing and by stating the members
ii.
Types of Sets
§ Define a
universal set and an empty set
§ Distinguish
between finite and infinite sets
§ Distinguish
between equivalent and equal sets
iii.
Subsets
§ Define a subset
§ List subsets of
a given set
§ Distinguish
between proper and improper subsets
§ Calculate the
number of subsets in a set
iv.
Operations With Sets
§ Find union of
two sets
§ Find the
compliment of a set
§ Find the number
of elements in the union and intersection of two sets
v.
Venn Diagrams
§ Represent a
sets by using Venn diagrams
§ Interpret
information from venn diagrams
i.
Pictograms
§ Display
Information by pictograms
§ Interpret
pictograms
ii.
Bar Charts
§ Draw horizontal
and vertical bar charts
§ Interpret bar
chart
iii.
Line Graphs
§ Represent data
using line graphs
§ Interpret line
graphs
iv.
Pie Chart
§ Display data
using pie charts
§ Interpret pie
charts
v.
Frequency Distribution Tables
§ Make frequency
distribution tables from raw data
§ Interpret
frequency distribution table form raw data
§ Interpret
frequency distribution tables
vi.
Frequency Polygons
§ Draw frequency
polygons from frequency distribution tables
§ Interpret
frequency polygons
vii.
Histograms
§ Draw histograms
from frequency distribution table
§ Interpret
histograms
viii.
Cumulative Frequency Curves
§ Draw cumulative
frequency curves from a cumulative frequency distribution table
§ Interpret a
cumulative frequency curve
