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Jan 14, 2019

Mathematics: Second Term's Scheme of Work for SSS 1 – 3

Second Term's Mathematics Scheme of Work for SSS 1
Mathematics: Second Term's Scheme of Work for SSS 1 – 3
Week 1
Factorization of quadratic expression of the form ax2 + bx + c

Week 2
Approximation

Week 3
Quadratic Equations

Week 4 – 5
Logical Reasoning

Week 6 – 8
Mensuration of solid shapes

Week 9
Construction

Week 10
Locus of moving points

Week 11 – 12
Revision/Examination

Second Term's Mathematics Scheme of Work for SSS 2

Week 1: LOGICAL REASONING 
i. Simple and compound statements

ii. Logical operation and truth tables

iii. Conditional statements and indirect proofs.

Week 2: LINEAR INEQUALITIES
i. Linear inequalities in one variable

ii. Linear inequalities in two variables

iii. Range of values of combined inequalities

iv. Graph of linear inequalities in two variables

v. Maximum and minimum values of simultaneous linear inequalities and application of linear inequalities in real life situation


Week 3: CHORD PROPERTIES
i. Angles suspended by a chord in a circle

ii. Angles subtended by chord at the centre

iii. Perpendicular bisectors of chords

iv. Angles in alternate segment

v. Cyclic quadrilaterals

Week 4: CIRCULAR THEOREMS
i. Proof of the theorem: The angle which an arc suspends at centre is twice the angle subtended at the circumference

ii. Proof of the theorem: The angles in same segment are equal

iii. Proof of the theorem: The angles in a semicircle is one right angle

iv. Proof of theorem: The opposite angles of cyclic quadrilateral are supplementary 

v. Proof of the theorem: The tangent to a circle is perpendicular to the radius

Week 5: CALCULATION ON CIRCLE THEOREM
i. Angle at centre is twice angle at the circumference of circle

ii. Angles in the same segment are equal

iii. Angle in a semicircle is 90°

iv. Opposite angles of a cyclic quadrilateral are supplementary (i.e. when the opposite angles are added, they give 180°)

v. Tangent to a circle (i.e. Radius of a circle is perpendicular to the tangent of a circle)

Week 6: TRIGONOMETRY 1
i. Derivation of sine rule and its application

ii. Derivation of cosine rule and its application

Week 7: THE RIGHT-ANGLE TRIANGLE
i. Angles of elevation and depression

Week 8: BEARING
i. Definition and drawing of 4 cardinal, 8 cardinal points and 16 cardinal points

ii. Notation for bearings cardinal notations N30°E, 545°N, 3 digits notations e.g. 075°, 350° etc.

iii. Making sketches involving lengths and angles/bearing

iv. Problem solving on lengths, angles and bearings

Week 9: PROBABILITY
i. Throwing of dice, tossing of coin and pack of playing cards

ii. Theoretical and experimental probability

iii. Mutually exclusive events

Week 10: PROBABILITY II
i. Independent events

ii. Complementary events

iii. Outcome tables

iv. Tree diagram/practical application of probabilities in health, business and population

Week 11 – 12
Revision/Examination 

Second Term's Mathematics Scheme of Work for SSS 3
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