# SECOND TERM MATHEMATICS SCHEME OF WORK FOR SS1

Second Term Mathematics Scheme of Work for Senior Secondary Schools in Nigeria

Second Term Mathematics Curriculum for SS1

Mathematics Scheme of work for Lagos State

## SECOND TERM SCHEME OF WORK FOR MATHEMATICS SS 1

1:CONSTRUCTION OF ANGLES 30, 45, 60, 90 e.t.c . Triangles, Equivalent angles, Equidistance from 2 points, 2 lines, fixed point and 4 – sides plane figure given certain conditions, locus of given points.

2:PROOFS OF SOME BASIC THEOREMS IN EUDIDEAN GEOMETRY:

Angle sum of a triangle is 180o, the exterior angle of a triangle is equal to the sum of two interior opposite angles.

3: RIDERS: Proofs of properties of

• Angles on parallel lines
• Angles in a polygon

iii. Congruent angles

Parallelograms and intercept theorem

4: TRIGONOMETRIC RATIOS: Sine, cosine and tangent with reference to right angled triangles.

5:TRIGONOMETRY: Derivation of Trigonometric ratios of 30o, 450o and 60o from drawn angles.

6: TRIGONOMETRY: Angle of elevation and depression and application of trigonometric ratios

7: TRIGONOMETRIC RATIOS: In relation to unit circle, Sine and Cosine of various angles.

8: GRAPH OF SINES AND COSINES USING 15o, 20o, 30o, 60o etc.

9: LENGTH OF ARC OF CIRCLE

### SECOND TERM SCHEME OF WORK FOR MATHEMATICS SS 1 -MODIFIED I

WEEK(S)                               TOPIC

1. Revision of first term work
2. Quadratic equation by: (a) factorization (b) Completing the square method.
4. Solution to quadratic equation by graphical method

Ideal of sets:  (a) Universal sets, infinite and finite sets, Empty set, sub –set:  (b) ideal and Notation for Union and intersection of sets

1. Ideal of sets: (a) universal set, finite and infinite sets empty set and sub-set of set. (b) Idea and notation for union and intersection of sets.
2. Complements of sets: (a) disjoints and Null. (b) Venn diagram and its use in solving problems involving two and three sets relation to real life situations.
3. Review of the first half term´s work and periodic test.
4. (a) Introduction of circle and its properties:  (b) Calculation of length of arc and perimeter of a sector. © Area of sectors and segments. Area of triangle.
5. Trigonometric ratios: (a) Sine, Cosine, Tangent of acute angles. (b) Use of tables for trigonometric rations:  (c) Determination of length of chord.

10.   ANGLE OF ELEVATION AND DEPRESSION

11.  LOGIC: (i) Simple statements   (ii) Negation  (iii) compound statement (iv)  conditional and Bi-conditional statement (v) inverse and Contrapositive statement  (vi) Conjunction and  Disjunction .

12 and 13 REVISION and. EXAMINATION

### SECOND TERM SCHEME OF WORK FOR MATHEMATICS SS 1 -MODIFIED II

Week 1

Quadratic Equation by (a) Factorization (b) Completing the square method

Week 2

𝑥 = −𝑏±√𝑏2−4𝑎𝑐 from ax2 + bx + c = 0

2𝑎

Week 3

Solutions of Quadratic Equation by Graphical Methods:

• Reading the Roots from the Graph
• Determination of the Minimum and Maximum Values
• Line of Symmetry.

Week 4

Idea of Sets:

• Universal Sets, Finite and Infinite Sets, Empty Set, Subset
• Idea of Notation for Union and Intersection of Sets

Week 5

implements of Sets:

• Disjoints of Null.
• Venn Diagram and its Use in Solving Problems Involving two and three Sets Relation to Real Life Situations.

Week 6

Review of the First Half Term’s Work and Periodic Test

Week 7

Trigonometric Ratios

• Sine, Cosine, Targentof Acute Angles
• Use of Tables of Trigonometric Ratios
• Determination of Length of Chord
• Using Trigonometric Ratios
• Graph of Sine and Cosine for Angles 0o = x

Week 8

• Application of Sine, Cosine and Tangent, Simple Problems with Respect to Right Angle Triangles.
• Angles of Elevation and Depression
• Bearing and Distances of Places Strictly Application of Trigonometric Ratio.

Week 9

• Introduction of Circle and its Properties
• Calculation of Length of Arc and Perimeter of a Sector
• Area of Sectors and Segments. Area of triangles

Week 10

Logic

• Simple True and False Statements
• Negative and Contra Positive of Simple Statement.
• Antecedents, Consequence and Conditional Statement (implication)

Week 11 & 12

Revision and Examination

### SECOND TERM SCHEME OF WORK FOR MATHEMATICS SS 1 -MODIFIED III

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

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

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