MATHEMATICS SCHEME OF WORK (JSS1 – JSS3) NAPPS LAGOS
Maths Scheme of work
MATHEMATICS SCHEME OF WORK FOR JUNIOR SECONDARY SCHOOL – NAPPS – EDUDELIGHT.COM
LAGOS STATE UNIFIED SCHEME MATHEMATICS
FIRST TERM JSS1 MATHEMATICS SCHEME OF WORK NAPPS
| WKS | JUNIOR SECONDARY 1 |
| TOPICS | |
| 1 | WHOLE NUMBERS COUNTING AND WRITING: i) Millions (ii) Billions (iii) Trillions |
| 2 | WHOLE NUMBERS CONTINUED. Problems solving in quantitative aptitude reasoning using large numbers. |
| 3 | LOWEST COMMON MULTIPLE (L.C.M) AND HIGHEST COMMON FACTOR (H.C.F) OF WHOLE NUMBERS: -Concept of L.C.M and H.C.F -L.C.M and H.C.F by inspection and formulae. -L.C.M and H.C.F of quantitative reasoning. |
| 4 | FRACTIONS: -Meaning of fraction. -Types of fractions (proper and improper fractions) -mixed number. |
| 5. | FRACTIONS CONTINUED: Equivalent fractions: Identify and apply equivalent fractions in showing commodities and problems solving in quantitative aptitude. |
| 6 | FRACTIONS CONTINUED: – Ordering of fractions. – Conversion of fractions to percentages and vice-versa. – Conversion of fraction to decimal and vice versa. |
| 7 | REVIEW OF THE FIRST HALF TERM’S WORK AND PERIODIC TEST. |
| 8 | FRACTIONS CONTINUED: -addition and Subtraction of fractions. |
| 9 | FRACTIONS CONTINUED: – Multiplication and division of fractions. – Prime numbers and factors. |
| 10 | ESTIMATION: – Concept of estimation and reasons. – Estimation of dimensions and distance. – Estimation of capacity volumes and mass of objects – Estimation of other things e.g. age, time, etc. -Quantitative reasoning involving estimation. |
| 11 | REVISION OF THE FIRST TERM’S WORK AND PREPARATION FOR THE FIRST TERM EXAMINATION. |
| 12 &13 | FIRST TERM EXAMINATION |
FIRST TERM JSS2 MATHEMATICS SCHEME OF WORK NAPPS
| WKS | JUNIOR SECONDARY 2 |
| TOPICS | |
| 1 | REVIEW OF JSS 1 EXAMINATION QUESTIONS RELEVANT TOPICS FOR THE NEW CLASS (BASIC OPERATION OF INTEGERS) |
| 2 | WHOLE NUMBERS: a) Whole numbers in standard forms. b) Decimal numbers in standard forms. c) Prime factors. |
| 3 | WHOLE NUMBERS: (CONTINUED) -Least Common Multiple (L.C.M.) -Highest Common Factor (H.C.F.) -Square and Square roots. -Quantitative reasoning. |
| 4 | FRACTIONS: TRANSACTIONS IN THE HOMES AND OFFICES. -Expressing fractions as ratios, decimals and percentages. -Quantitative reasoning on fractions, ratios and percentages. -Commercial arithmetic. |
| 5. | APPROXIMATION: (a) Approximation of numbers to; (i) Decimal places. (ii) Significant numbers. (iii) Whole numbers (iv) Nearest tens, hundreds, thousands, tenths, hundredth and thousandth. (b) Quantitative reasoning. |
| 6 | MULTIPLICATION AND DIVISION OF DIRECTED AND NON-DIRECTED NUMBERS: – Definition and examples of directed and non-directed numbers. – Square and square root tables. – Multiplication and division of directed and non-directed numbers. |
| 7 | REVIEW OF THE FIRST HALF TERM’S LESSONS AND PERIODIC TEST. |
| 8 | ALGEBRAIC EXPRESSIONS: -Definition of algebraic expression with examples. -Expression of algebraic expression. -Factorization of simple algebraic expressions. |
| 9 | ALGEBRAIC EXPRESSION CONTINUED: – Expression and factorization of quadratic expressions – Definition of algebraic fractions. – Algebraic fractions with whole number, denominator (addition and subtraction) – Quantitative reasoning. |
| 10 | ALGEBRAIC EXPRESSIONS (CONTINUED): – Word problems leading to simple algebraic fractions. |
| 11 | REVISION OF THE FIRST TERM’S WORK AND PREPARATION FOR THE FIRST TERM EXAMINATION. |
| 12 &13 | FIRST TERM EXAMINATION AND VACATION |
FIRST TERM JSS3 MATHEMATICS NAPPS SCHEME OF WORK
| WKS | JUNIOR SECONDARY 3 |
| TOPICS | |
| 1 | REVIEW OF JSS 2 WORK. – Questions and answers on identified work area. |
| 2 | WHOLE NUMBERS: a) Binary number system. b) Simple Mathematical calculations. c) Translation of word problems into numerical expressions. |
| 3 | WHOLE NUMBERS: (CONTINUED) -Expressions involving brackets and fractions. -Direct and inverse proportion. -Application of direct and inverse proportions. -Compound Interest. |
| 4 | ADDITION AND SUBTRACTION OF NUMBERS IN BASE 2 NUMERALS: -Addition of two or three 3-digit binary numbers. -Subtraction of two or 3-digit binary numbers. |
| 5. | MULTIPLICATION AND DIVISION OF NUMBERS IN BASE 2 NUMERALS: (a) Multiplication of two 2-digit binary numbers. (b) Division of two to 3-digit binary numbers. |
| 6 | RATIONAL AND NON-RATIONAL NUMBERS:VARIATIONS: – Direct. – Indirect. – Joint. – Partial. |
| 7 | REVIEW OF THE FIRST HALF TERM’S LESSONS AND PERIODIC TEST. |
| 8 | FACTORIZATION: -Factorization of expression of the form: i) ax + ay ii) 3m + pq +3p + mp iii) a2 – b2 iv) a2 – 2ab – b2 b) Word problems involving factorization |
| 9 | SIMPLE EQUATION INVOLVING FRACTIONS: – Simple equations involving fractions. – Word problems leading to simple equation involving fractions. |
| 10 | CHANGE OF SUBJECT OF FORMULEA (ADDITION, MULTIPLICATION, ROOTS) |
| 11 | REVISION OF THE 2nd HALF TERM’S LESSON AND PERIODIC TEST. |
| 12 &13 | FIRST TERM EXAMINATION |
SECOND TERM JSS2 MATHEMATICS SCHEME OF WORK NAPPS
- Revision of first term’s work: Emphasis on identified difficult areas base on the performance of first term examination
2. Approximation:
- Degree of accuracy of numbers and how to determine it
- Rounding up of numbers, significant figures, decimal places, nearest whole numbers, tens, hundreds and thousand
- Rounding up of numbers to nearest tenth, hundredth and thousandth
3. Approximation continued:
- Approximating values of addition, subtraction. Multiplication and division
- Exercise on degree of accuracy round up numbers
- Problems solving on quantitative reasoning
4. Number base:
- Counting in base two
- Conversion of base 10 numerals to binary numbers
- Addition and subtraction of two or three – 3 digits binary numbers
5. Number base (Continued)
- Multiplication of two 2-digit binary numbers
- Problems solving on quantitative aptitude related to conversion and application to real life situation
6. Basic operations:
- Addition and subtraction of numbers. Emphasis on place values using spike or abacus
- Addition and subtraction of numbers. Emphasis on the use of number line
7. Review of first term half term’s work and periodic tests
8. Basic operations (Continued)
- Addition and subtraction of positive and negative integers using number line and collection of terms
- Everyday application of positive and negative integers
- Solving problems on quantitative reasoning in basic operations
9. Algebraic process:
- Use of symbols”
- Open sentences and authentic operations
- Word problems involving use of symbols
- Identification of coefficient of terms, basic authentic operations applied to algebraic expressions
- Collection and simplification of like terms and the use of brackets
10. Algebraic processes (Continued)
- Problems solving on basic arithmetic operations in algebraic processes
- Solving quantitative aptitude problems on the use of symbols and brackets
11 & 12: Revision of the second term’s work and preparation for examination
SECOND TERM JSS2 MATHEMATICS NAPPS SCHEME OF WORK
1. Review of first term’s work. Emphasis on algebraic expressions, solving of quadratic equations and transactions at home and offices
2. Simple equations:
- Algebraic equations
- Differences between algebraic expressions and algebraic equations
- Problems on simple or algebraic equations
3. Linear inequalities :
- Definition of linear inequalities
- Word problems leading to simple inequalities in one variable
4. Linear inequalities (Continued)
- Graphical representations
- Graphs of Cartesian plane: the axis
E.g. x 3:x -3:’2x e8 3x d9
5. Graphs:
- Graphs of linear equations in two variables
- Plotting of linear graphs in two variables from real life situations
- Quantitative reasoning problems on graphs
6. Plane figure/shapes:
7. Review of the first half term’s work and periodic tests
8. Scale drawing of length and distances
9. Quantitative Aptitude on plane shapes and scale drawing
10 – 11.Revision of the second half term’s work and periodic test
SECOND TERM JSS3 MATHEMATICS NAPPS SCHEME OF WORK
1.Revision of first term’s work. Questions and answers on identified different areas from the first term’s exams
2. Simultaneous equations in one or two variables using:
- Elimination method
- Subtraction method
- Graphical method
- Compilation of table of values
3. Simultaneous equations (Continued)
- More exercises on simultaneous linear equations using graphical method
- Application of simultaneous linear equations to life situation using problem solving
4. Geometry: Similar shapes:
- Similar shapes: Identification of plane shapes
- Enlargements and scale factor: Enlarge figures using scale factors
5. Geometry (Continued)
Lengths, areas and volumes of similar figures
6. Area of plane figures:
- Area of triangles
- Area of parallelogram
- Area of trapezium
- Area of circle
7. Revision of the first half term’s work and periodic test
8. Area of plane figures (Continued)
- Area of sectors
- Word problems involving areas of plane figures
- Quantitative aptitude problems on areas of plane
9. Trigonometry:
- The sine, cosine and tangent of an acute angles
- Applications of trigonometrical ratios to solve problems on angles and sides of a right-angled triangle
10.
- Angles of elevation and depression
- Study of measurement using clinometers
11 – 12. Revision and examination
FIRST TERM JSS3 MATHEMATICS NAPPS SCHEME OF WORK
| 002 WEEK | MATHEMATICS(Js 1) |
| 1 | REVISION OF SECOND TERM’S WORK WITH EMPHASIS ON IDENTIFIED DIFFICULT AREAS IN SECOND TERM EXAM |
| 2 | SIMPLE EQUATION: – Translation of work problems into equation and vice-versa – Use of balance or sea saw to demonstrate the principle of equality – Solution of simple equations. |
| 3 | GEOMETRY-PLANE SHAPES: – Types of place shapes and their properties – Similarities and differences between the following: square rectangular, triangle, trapezium, parallelogram and circle. |
| 4 | – Perimeter of regular polygon, square, rectangle, triangle, trapezium, parallelogram and circle. – Area of regular plane shapes such as: square, rectangles, parallelograms etc |
| 5 | THREE DIMENSIONAL SHAPES: – Identification of three dimensional or 3-D shapes – Basic properties of cubes and cuboids. – Volume of cubes and cuboids. |
| 6 | ANGLES: IDENTIFICATION AND PRO PERTIES OF ANGLES – Vertically opposite angles – Adjacent angles – Corresponding angles |
| 7 | ANGLES (CONTINUED): THEOREMS (a) Sum of angles on a straight line (b) Supplementary angles (c) Complementary angles (d) Sum of angles of a triangle |
| 8 | CONSTRUCTION (a) Construction of parallel and Perpendicular lines (b) Bisection of a given line-segment (c) Construction of angles 900 and 600 Degrees |
| 9 | STATISTICS (1) Definition – Purpose and usefulness lf statistics – Date collection, sources and Importance – Presentation and analysis of data Frequency distribution |
| 10 | Graphical presentation of data, the use of pictogram bar-chart and histogram. |
| 11 | STATISTICS (11) Measure of Average – The Arithmetic mean – The Median – The Mode |
| 12 | REVISION AND EXAMINATION |
| 13 | EXAMINATION AND VACATION |
THIRD TERM JSS2 MATHEMATICS NAPPS SCHEME OF WORK
| 002 WEEK | MATHEMATICS(Js 2) |
| 1 | (a) Revision of second term’s examination (b) Re-presentation of real life situation an graphs and the reason’s |
| 2 | ANGLES AND POLYGON: |
| 3 | ANGLES OF ELEVATION AND DEPRESSION: |
| 4 | BEARING AND DISTANCE |
| 5 | STATISTICS: DATA PRESENTATION |
| 6 | STATISTICS (Continued) |
| 7 | REVIEW OF FIRST HALF TERM’S WORK AND PERIODIC TEST |
| 8 | PROPBABILITY: |
| 9 | PROBABILITY (continued) |
| 10 | REVIEW OF THIRD TERM’S WORK AND PERIODIC TEST |
| 11 | REVISION AND EXAMINATION |
| 12 | EXAMINATION AND VACATION |
THIRD TERM JSS3 MATHEMATICS NAPPS SCHEME OF WORK
| 002 WEEK | MATHEMATICS(Js 3) |
| 1 | REVISION OF SECOND TERM’S WORK AND EXAMINATION PAPERS |
| 2 | CONTRUCTION: (a)Construction of angle 45o (b)Construction of angle 3o (c) Copying of simple plane shapes |
| 3 | MEASURE OF CENTRAL TENDENCY (a) Revision of previous work on means, median and mode |
| 4 | APPLICATION OF MEASURE OF CENTRAL TENDENCY TO ANALYSE GIVEN INFORMATION |
| 5 | DATA PRESENTATIION -Pie Chart |
| 6 | REVISION OF JS 3 WORK |
| 7 | MOCK EXAMINATION |
| 8 | MOCK EXAMINATION |
| 9 | JSSCE EXAMINATION |
