Trigonometry

mathematics 7

Derive the sine rule.
Apply the sine rule
Derive the cosine rule

Circle Theorems

mathematics 7

Prove that the angle which an arc subtends at the center is twice the angle it the circumference.
Solve practical problems on the theorem correctly.
Prove that the angles in the same segment of a circle are equal.
Angles in a semicircle is a right angle.
The opposite angles in a cyclic quadrilateral are supplementary
The exterior angle is equal to interior opposite angles.
.Prove riders on tangents to a circle

Chord Property

mathematics 7

Identifying angles subtended chords in a circle.
Identifying angles subtended at the equal chords and derive the rider.
Identifying perpendicular bisectors of chords and derive the rider.
Identifying angles in alternate segments and derive the riders
Solving problems on angles subtended by chords in a circle
Solving problems on angles subtended by two equal chords at the center.
Solving problems on perpendicular bisectors of chords.
Solving problems on angles in alternate segments

Probabilty Iii

mathematics 7

At the end of this lesson, the students should be able to understand Probabilty

Algebraic Fractions

mathematics 7

Simplify on algebraic fraction to its lowest term.
Simplify algebraic fraction involving addition, subtraction and multiplication and division.
Simplify and solve simple equation involving fractions.

Linear Inequalities

mathematics 7

Solve inequalities in one variables
Solve problems on inequalities in two variables
Draw graph of linear inequalities in two variables
Obtain the required region that satisfies the simultaneous linear inequalities.
Deduce the maximum and minimum values.
Solve word problems on linear inequalities.
Combine two inequalities to form a component inequality.
Solve and graph compound inequalities

Logical Reasoning (Revision)

mathematics 7

Give the meaning of simple and compound statements.
List the five logical operations and their symbols.
Write the truth values of a compound statement and involving any of the five logical operations.
Use truth table to prove that
(a) A contra-positive is equivalent to the conditional statements.
(b) A converse is equivalent to an inverse of a conditional statement.
Apply contra positive and inverse in proving theories.
Determine the gradient of a curve at a given point by reading the graph.