Maths Scheme, JSS3 General Mathematics Scheme of work Federal. Equations Involving Fractions – Schemeofwork.com
JSS3 MATHEMATICS SCHEME OF WORK FIRST TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | BINARY NUMBERS i. Addition and subtraction of binary numbers ii. Multiplication and division of binary numbers iii. Solving Quantitative Reasoning problems on binary numbers. | Students: i. Add binary numbers ii. Subtract binary numbers iii. Multiply binary numbers iv. Divide given binary numbers v. solve Quantitative Reasoning problems Instructional Resources: Flash cards |
| 2 | BINARY NUMBERS CONT. i. Conversion from base ten to binary ii. Conversion from binary to other bases. iii. Applying binary numbers as two way classification system using punch card. iv. Using computer to do simple mathematical calculations. | Students a. change numbers from base 10 to base 2. b. change base 2 numbers to base 10 or any required base. Instructional Resources: Flash cards showing a typical conversion from base 10 to base 2.Punch cards. |
| 3 | DIRECT AND INVERSE PROPORTION i. Direct proportion ii. Indirect proportion iii. Apply direct and inverse proportions to practical problems. | STUDENTS: i. Solve problems on direct and inverse proportion including practical problems. Instructional Resources: Direct and inverse proportions chart |
| 4 | RATIONAL AND NON-RATIONAL NUMBERS i. Identifying rational and non-rational numbers. ii. Determining the approximate value of some non-rational numbers. iii. Determining the approximate value of pi. iv. Finding reciprocals. | Students: Identify rational numbers amongst a set of given numbers.Determine practically the approximate value of some non-rational numbers. Instructional Resources: Chart showing some non-rational numbers. |
| 5 | PLANE FIGURES Problems in measuration involving: i. Area of triangles ii. Area of parallelograms iii. Area of trapezium iv. Area of circles and sectors v. Word problems involving area. | Students: Derive formula for area of triangles.Use formula to find the area of parallelograms, trapezia and circles.Solve Quantitative problems on areas. Instructional Resources: Models of indicated shapes (Triangles, Circles etc.) |
| 6 | FACTORIZATION OR ALGEBRAIC EXPRESSION Factorization of expressions of the form: i. ax+ay ii. 3m+pq+3p+mq iii. a2 – b2 iv. a2 – 2ab + b2 v. Word problems involving factorization. | Students: Factorize simple algebraic expressionsUse the quadratic equation box to factorize quadratic expression. Instructional Resources: Quadratic equation boxFlash cards of problems |
| 7 | EQUATIONS INVOLVING FRACTIONS i. Solving simple equations involving fractions. ii. Word problems leading to simple equation involving fractions iii. Simplifying expressions involving brackets. | Students: Solve simple equations involving fractionsTranslate word problems to algebraic equations and solve themSimplify expressions with brackets. Instructional Resources: Flash cards of simple equations involving fractions. |
| 8 | SIMULTANEOUS EQUATIONS i. Solution of simultaneous equations by substitution method ii. Solution by elimination method iii. Applying substitution and elimination method of solving simultaneous equations to real life activities. | Instructional Resources: Flash cards with simultaneous linear equations. |
| 9 | GRAPHICAL SOLUTION OF SIMULTANEOUS EQUATIONS i. Compiling table of values for simultaneous linear equations. ii. Solving problems involving simultaneous linear equations in 2 variables graphically. | Students: Compute linear equations for different values for the variable.Presenting calculated values in tabular form.Obtain the solution of pair of equations from the graph drawn. Instructional Resources: i. chart of table of values ii. graph board iii. flash cards with simultaneous linear equations. |
| 10 | VARIATION i. Definition of variation ii. Direct variation y=kx iii. Inverse variation y= k/x | i. Solves problems on direct variation ii. Solve problems on inverse variation. Instructional Resources: -flash cards -source for relevant information on direct and inverse variation. |
| 11 | VARIATION i. Partial variation y=kx+c ii. Joint variation y = kpq, where k is a constant. | Students: Obtain the constant and solve problems on partial and joint variation. |
| 12 | WORD PROBLEMS i. Translate word problems into numerical expression ii. Interpreting and solving given word problems. | Students: Translate word problems into algebraic expressionSolve given word problems. Instructional Resources: Flash cards |
| 13 | Revision | Revision |
| 14 | Examinations | Examinations |
JSS3 MATHEMATICS SCHEME OF WORK SECOND TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | CHANGE OF SUBJECT OF FORMULA i. Changing subject in a formula ii. Simplifying expression by substituting in formula. | Students: i. Re-write a formula with a new subject ii. Substitute values into a given formula Instructional Resources: Flash cards of formula |
| 2 | COMPOUND INTEREST i. Revision of simple interest ii. Solving problems on compound interest iii. Applying the use of compound interest in daily life activities. | Students: Compute simple interestSolve problems on compound interest Instructional Resources: Source for information on compound interest e.g. fixed deposits. |
| 3 | VIEWS, PLANS AND SKETCHES Drawing views and plans of common solids i. cube and cuboids ii. cone iii. cylinder iv. sphere v. prism | Students: Draw views of common solidsDraw plans of common solids. Instructional Resources: Models or cubes, cuboids, cylinders etc. |
| 4 | PROBABILITY i. Define probability ii. Use probability to estimate the outcomes of real-life problems involving chance. iii. Express probability as a fraction iv. Determine the probability of events such as throwing a die, picking a ball from a bag etc. | Students; Give practical examples of chance eventsDetermine the probability of an event. Instructional Resources: Dice, balls, marbles, coins. |
| 5 | SIMILAR SHAPES a. Identify similar figures : i. Triangles (ii) Rectangles iii. Squares, (iv) Cubes v. Cuboids. b. Identify the presence of similar shapes in the environment. | |
| 6 | ENLARGEMENT AND SCALE FACTOR i. Meaning of enlargement and scale factor ii. enlargement shapes using scale factor iii. Calculating and comparing lengths areas and volumes of similar figures iv. Quantitative Reasoning involving similar shapes. | Students: i. Identify and collect similar shapes ii. describe the meaning of enlargement and scale factor iii. Enlarge shapes using scale factor. Instructional Resources: Similar shapes of triangles, rectangles, squares etc. |
| 7 | TRIGONOMETRY i. Identify sine, cosine and tangent of an acute angle as ratios of sides of a right-angled triangle. ii. using trigonometric ratio to solve practical problems iii. applying trigonometric ratios to solve word problems. | Students: Obtain since ratio of a given acute angle. Instructional Resources: – Models of right-angled triangles – Flash cards with different problems. |
| 8 | SOLID SHAPES Problems in measuration involving: i. volume of cylinders, cones ii. surface areas of cylinder and cones. | Students: Compute volume of cylinders and conesCalculate the surface area and total surfaces area of cylinders and cones. Instructional Resources: – Cylindrical shapes. – Models of cones |
| 9 | CONSTRUCTION i. Bisecting of line segments ii. Bisecting of angles iii. Constructing simple shapes | Students: Bisect line segmentsBisect given anglesConstruct simple shapes Instructional Resources: -Mathematical set -Chalkboard construction set. |
| 10 | CONSTRUCTION i. construction of angles of various sizes 90o, 60o, 45o, 30o ii. copying a given angle iii. Constructing simple shapes. | Students: Construct angle 90oBisect 90o to construct 45oCopy a given angleConstruct a triangle with 2 sides and an included angle Instructional Resources: – Mathematical set – Chalkboard construction set. |
| 11 | Revision | Revision |
| 12 | Examinations | Examinations |
JSS3 MATHEMATICS SCHEME OF WORK THIRD TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | STATISTICS i. Calculating mean of a given data from raw scores ii. Obtaining median iii. finding mode iv. Finding the range of any given date v. Calculating mean and median from frequency table. | Students: Find the range, mean, median and mode of a given data. Instructional Resources: Source data from the school e.g. age of students. |
| 2 | STATISTICS (DATA PRESENTATION) i. Frequency table ii. Pictograms iii. Ordering or ranking data iv. Representing and interpreting data on a bar chart v. Representing and interpreting data on a pie chart. | Students: Rank given dataGroup or present data in tabular formDraw an accurate pie chart to represent given information. Instructional Resources: Model pie charts and bar charts. |
| 3 | VARIATION Revision of problem solving involving: i. direct (ii) inverse (iii) joint iv. partial variation. | Students: Solve problems on direct and inverse variationSolve problems on partial and joint variation Instructional Resources -Source data on the different types of variation. -Flash cards. |
| 4 | APPROXIMATION Revision of approximation of numbers to: i. decimal place ii. significant figures iii. required degree of accuracy | Students: Rounds off numbers to decimal places and significant figuresRounds off numbers to a required degree of accuracy. |
| 5 | FRACTIONS (Revision) i. Addition and subtraction of fractions ii. Multiplication and division of fractions. iii. use of order of operations in simplifying expressions with fractions. iv. Simplifying algebraic fractions with monomial denominators. | Students: Add and subtract fractions Multiply and divide given fractions Simplify algebraic fractions. Instructional Resources: Flash cards. |
| 6 | RIGHT-ANGLED TRIANGLES i. Use of Pythagoras rule in finding missing sides of triangles. ii. Pythagoras triples iii. Finding trigonometric ratios of sine, cosine, and tangent using sides of right angled triangles. | Students: Give the sine, cosine and tangent ratios of required acute angles.Identify Pythagoras triples Instructional Resources: Flash cards with different problems. |
| 7-13 | Revision and BECE Examinations | Revision and BECE Examinations |
