Simple Equations in one Variables. Federal Mathematics Scheme of work for JSS2. Inverse Identity – Schemeofwork.com
MATHEMATICS SCHEME JSS TWO FIRST TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | LARGE AND SMALL NUMBERS i. Practical representation of numbers using a. words only b. digits only c. mixture of digits and words ii. Identification of small numbers/fractions iii. Place value of digits. | Students: Write and read large numbersWrite numbers using mixture of digits and wordsRead newspaper articles involving large numbers. Instructional Resources: Flash cards, chart showing place values of digits of a given large and small number. |
| 2 | STANDARD FORM OF NUMBERS i. Expressing whole numbers in standard form ii. Expressing decimal numbers in standard form. iii. Quantitative reasoning (QR) involving standard form | Students: a. Express whole numbers in standard form b. Express decimal fractions in standard form c. Change numbers given in standard form to ordinary form. Instructional Resources: Cut-out of newspaper articles involving large and small numbers written in standard form. |
| 3 | APPROXIMATION i. Approximation to a required degree of accuracy: tens, hundred, tenth etc. ii. Approximation to decimal places iii. Approximation to significant figures. iv. Quantitative Reasoning involving approximation | Students: Round off numbers to required degree of accuracy.Round off numbers to 1 d.p, 2 d.p, 3 d.p.Round off numbers to significant figures. Instructional Resources: Rounding off number chart. |
| 4 | FACTORS AND MULTIPLES i. Factors of numbers ii. Prime factors of numbers not greater than 200 iii. Expressing numbers as product of its prime factors iv. Rules of divisibility v. H.C.F of numbers. | Students: i. Express numbers as product of prime factors. ii. Find prime factors of numbers iii. Find the H.C.F of a set of given whole numbers. Instructional Resources: Multiplication tables/chart. |
| 5 | FACTORS AND MULTIPLES i. Multiples of numbers ii. Common multiples and LCM iii. Squares and square roots iv. finding square roots of numbers by factors. | Students: Write common multiples of given numbersIdentify perfect squaresFind square roots of perfect squares by factor method Instructional Resources: Multiplication tables/charts, squares and square root tables. |
| 6 | DIRECTED NUMBERS i. Addition and subtraction of directed numbers. ii. Multiplication and division of directed numbers iii. Simplifying expression with directed numbers. | Students: i. Add 2 or more directed numbers ii. Multiply and divide directed numbers. iii. Apply the sign rule in simplifying expressions with directed numbers. Instructional Resources: i. Multiplication and division charts ii. a chart showing multiplication and division of signs (sign rules). |
| 7 | INVERSE IDENTITY i. Additive inverse ii. Multiplicative inverse iii. Use of inverse operation solving simple equations. | Students: a. Obtain the additive inverse and multiplicative inverse of given numbers b. Solve simple equations by performing inverse operations. Instructional Resources: Chart showing inverse operations. |
| 8 | SIMPLE EQUATIONS IN ONE VARIABLE Solving equations of the form i. 2x = 8 (ii) 3n-4 = 5 iii. 3x-4 = 2x+1 (iv) 2y+4 7 = 2 | Students: Solve simple equations to obtain the unknown. Instructional Resources: Chart showing inverse operations |
| 9 | GRAPHS i. Introduction to the Cartesian plane ii. Identifying the X and Y axis iii. Plotting points on the Cartesian plane (coordinates) iv. Construct shapes from given coordinates. | Students: Identify the X and Y axisDraw the Cartesian planePlot given pintsJoin plotted points to form shapes. Instructional Resources: Graph board, mathematical set. |
| 10 | LINEAR INEQUALITIES i. Identifying linear inequality in one variable ii. Solving linear inequalities iii. Graphical representation of solution of linear inequalities iv. Word problems involving linear inequalities. | Students: Solve an inequalityRepresent an inequality using a number lineShow the region of solution for a given inequality. Instructional Resources: Flash cards showing some inequalities. |
| 11 | EVERYDAY ARITHMETIC i. Percentage and ratio ii. Conversion of fractions to ratio, decimals, percentages. iii. Quantitative Reasoning on fractions, ratios and percentages. | Students: Convert fractions to ratioConvert fractions to decimals and vice-servaConvert fractions to percentagesConvert percentages to fractions. Instructional Resources: Multiplication/Division charts. |
| 12 | EVERYDAY ARITHMETIC (TRANSACTION IN HOMES AND OFFICES) i. Profit and loss ii. Simple interest iii. Discount iv. Commission | Students: Compute loss or gain/profit for transactions made.Calculate simple interest given principal, time and rate. Instructional Resources: Collection of objects with price tag. Create a mini shop. |
| 13 | Revision | |
| 14 | Examinations |
Simple Equations in one Variables. Federal Mathematics Scheme of work for JSS2. Inverse Identity – Schemeofwork.com
MATHEMATICS SCHEME OF WORK JSS TWO SECOND TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | EXPANSION OF ALGEBRAIC EXPRESSION i. Expansion of the form a(b+c) = ab + ac. ii. Expansion of the form (a+b)(c+d)=ac+ad+bc+bd iii. Quantitative Reasoning involving expansion. | Students: Expand given algebraic expressions. Instructional Resources: Flash cards. |
| 2 | FACTORIZATION OF ALGEBRAIC EXPRESSION i. Factorization of the form ax+ay = a(x+y) ii. Factorisation of the form abc+abd = ab(c+d). | Students: Factorize given algebraic expressionFind missing factor in given sample. |
| 3 | ALGEBRAIC FRACTION i. Algebraic fractions with monomial denominators (addition, subtraction, multiplication and division) ii. word problems leading to simple algebraic fractions. | Students: Simplify algebraic expression of fractionsInterpret word problems leading to algebraic fractions and solve the resulting algebraic fraction. Instructional Resources: Flash cards. |
| 4 | SIMPLE EQUATIONS i. Solving simple equations ii. Word problems on simple equations. | Students: Obtain the solution of a simple equationTranslate word problems to simple equations and solve them. |
| 5 | LINEAR INEQUALITIES IN ONE VARIABLE i. Solution of linear inequalities ii. Graphical representation of linear inequalities. iii. Word problems involving linear inequalities in one variable. | Students: Solve given linear inequalitiesRepresent the solution of an inequality graphically using number line. Instructional Resources: Flash card, charts showing number lines. |
| 6 | PLANE SHAES AND FIGURES Properties of: i. Parallelogram ii. Rhombus iii. Kite | Students: Draw parallelograms, rhombus and kite.Give any two properties of the indicated plane shape. Instructional Resources: Models of plane shapes. |
| 7 | ANGLES IN A POLYGON i. Revision of angles in a triangle ii. Identification and naming of polygons (up to 10 sides) iii. sum of angles in a quadrilateral iv. The sum of interior angles in a polygon using (n-20 180o or (2n-4)90o. | Students: Find sum of angles in a triangleFind sum of angles in a quadrilateralFind the sum of the interior angles of a polygon. Instructional Resources: Models of polygonCut-out shapes of triangles, quadrilateral and other polygons. |
| 8 | SCALE DRAWING i. Drawing plane objects to scale ii. Converting actual lengths to scale. iii. Calculation from scale drawing iv. Combination of plane shapes to produce design. | Students: Draw actual lengths to scaleConvert actual lengths to scaleCalculate from scale drawing. Instructional Resources: Mathematical set. |
| 9 | GRAPHS i. Revision of plotting of points on the Cartesian plane. ii. solutions of linear equations in two variables using graphs iii. Linear graphs from real life situations. | Students: Complete table of valuesPlot the graph of given linear equationInterpret information presented on the graph. Instructional Resources: Graph board, graph paper. |
| 10 | ANGLES OF ELEVATION AND DEPRESSION i. Identifying angles of elevation and depression. ii. Distinguishing between angles of elevation and depression iii. Measuring angles of elevation and depression. iv. Using angles of elevation and depression in calculating distances and heights. | Students: Distinguish between angle of elevation and depression.Calculate angles of elevation and depression. Instructional Resources: Charts showing angles of elevation and depression. |
| 11 | Revision | |
| 13 | Examinations |
MATHEMATICS SCHEME OF WORK JSS TWO THIRD TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | BEARING i. Identifying the cardinal points. ii. Compass/acute and 3-digit bearing iii. Locating the position of objects iv. Finding the distance between objects using scale drawing. | Students: Identify the primary and secondary cardinal positions.Give bearings as (i) acute angle bearing (ii) 3-figure bearing.Find distance of objects by scale drawing. Instructional Resources: Compass, charts showing bearing of objects from a fixed reference point. |
| 2 | THE PYTHAGORAS RULE i. The right-angled triangle ii. Using Pythagoras rule to solve right-angled triangles. iii. Pythagoras triples. | Students: Identify the hypotenuse. Instructional Resources: – A chart showing the right-angled triangle. – Flash cards of Pythagoras triples. |
| 3 | CYLINDERS AND CONES i. Curved surface area of cylinders ii. Curved surface area of cones iii. Total surface area of cylinders iv. Total surface area of cones. | Students: Calculate the surface area of cylinders and cones.Calculate the total surface area of cylinders and cones. Instructional Resources: – Models of cylinders and cones – Nets of cylinders and cones. |
| 4 | VOLUME OF CYLINDERS AND CONES Deriving formulae for i. volume of cylinders ii. volume of cones iii. compound shapes i.e. a cone mounted on a cylinder. | Students: i. Derive formula for volume of cylinders and cones. ii. Apply derived formula in calculating volume of cylinders and cones. Instructional Resources: – Models of cylinders and cones – Flash cards showing formulae for volume. |
| 5 | APPROXIMATION II Problems using the basic arithmetic operations involving i. Money (ii) population iii. Exports (iv) Imports v. Quantitative Reasoning involving the above. | Students: Performs simple calculation and give result to a required Instructional Resources: Flash cards, approximation charts. |
| 6 | READY RECKONERS i. Obtaining squares and square root of given numbers from tables. ii. Interpreting and using tables and schedules iii. Multiplying and dividing directed numbers. | Students: i. Obtain squares and square roots from tables ii. Multiply and divide directed numbers. Instructional Resources: – Typical ready reckoners – Tables and schedule. |
| 7 | STATISTICS i. Data presentation in ordered form ii. Frequency tables iii. Pie chart | Students: a. Rank a set of numbers b. Calculate angles to represent given information and represent it on a pie chart. Instructional Resources: Frequency chartsModel pie chart. |
| 8 | PROBABILITY i. Examples which illustrate the occurrence of chance events in everyday life. ii. Determining the probability of certain events. iii. Application of probability in everyday life. | Students: Instructional Resources: Dice, ball, and coloured balls. |
| 9 | SIMPLE PROPORTION i. Director proportion ii. Inverse proportion | Students: i. identify direct proportion ii. identify indirect proportion iii. solve problems on direct and inverse proportion. Instructional Resources: i. flash cards, ii. charts showing direct and inverse proportionality. |
| 10 | CONSTRUCTION i. Construction of angles 90o and 45o etc. ii. Bisection of given angles. | Students: i. Construct angle 90o and 45o ii. Construct angle 60o iii. Bisect given angles. Instructional Resources: Graph boardMathematical set. |
| 11 | CONSTRUCTION Construction of triangles given i. 2 sides and an included angle ii. 2 angles and a side between them iii. All the 3 sides. | Students: Construct triangles using a protractor and ruler. Instructional Resources: Graph boardMathematical set. |
| 12 | Revision | |
| 13 | Examinations |
