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
- Revision of first term work
- Quadratic equation by: (a) factorization (b) Completing the square method.
- General form of quadratic equation leading to formula method
- 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
- 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.
- 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.
- Review of the first half term´s work and periodic test.
- (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.
- 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
Quadratic Equation by (a) Factorization (b) Completing the square method
General Form of Quadratic Equation leading to Formular Method
𝑥 = −𝑏±√𝑏2−4𝑎𝑐 from ax2 + bx + c = 0
Solutions of Quadratic Equation by Graphical Methods:
- Reading the Roots from the Graph
- Determination of the Minimum and Maximum Values
- Line of Symmetry.
Idea of Sets:
- Universal Sets, Finite and Infinite Sets, Empty Set, Subset
- Idea of Notation for Union and Intersection of Sets
implements of Sets:
- Disjoints of Null.
- Venn Diagram and its Use in Solving Problems Involving two and three Sets Relation to Real Life Situations.
Review of the First Half Term’s Work and Periodic Test
- 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
- 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.
- Introduction of Circle and its Properties
- Calculation of Length of Arc and Perimeter of a Sector
- Area of Sectors and Segments. Area of triangles
- 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
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