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GENERAL MATHEMATICS

SS ONE FIRST TERM

 WEEK TOPIC / CONTENT ACTIVITIES 1 NUMBER BASES (I) i. Decimal base (Base 10) and other bases e.g. base 2(binary) base 7 (days of the week) etc. ii. Conversion from Base 10 to other bases, conversion from other bases to base 10. Teacher: i. Guides students to realize other bases other than binary (base 2) and denary (base 10) ii. Guides students to convert the following: one base to the other, are numbers with decimal fraction to base 10. Students: Mention other base such as 4, base 5(quandary), base 8(octal) base 16 (Hexadecimal). Convert decimal fractions to base 10 and one base to another base. Instructional Resources: Charts showing the conversion from one base (except base 2) to another base. 2 NUMBER BASES (II) i. Problem solving, addition, subtraction, multiplication and division of number in the various bases. ii. Conversion of decimal fraction in one base to base 10. iii. Apply number base system to computer programming. Teacher: Guides students to perform mathematical operations of: addition, subtraction, multiplication and division. Students: Perform the mathematical operations. Instructional Resources: As in week one above. 3 MODULAR ARITHMETIC i. Revision of addition, division, multiplication and subtraction of integers. iii. Addition, subtraction and multiplication operations in modular arithmetic. iv. Application to real life situations. Teacher: Guides students to revise the mathematical operations of integers -to define modular arithmetic and uses activities to develop the concept. - To add, subtract, divide and multiply in modular arithmetic. - To appreciate its application to shift duty, menstrual chart, name of market days. Students: -Define modular arithmetic -Perform the mathematical operations in modular arithmetic -Appreciate the concept of modular arithmetic and apply in daily life. Instructional Resources: Modular arithmetic charts, samples of shift duty chart, menstrual chart. 4 INDICES i. Laws of indices and their applications e.g. a. ax x ay = ax+y b. ax/ay = ax-y c. (ax)y = axy ii. Application of indices, simple indicial/exponential equations. Teacher: Guides students to represent numbers in indices and gives examples. Explains laws of indices with examples, drill students on problem solving. Students: -Study the laws of indices and solve related problems. -Study the steps in indicial equation and solve exercises. 5 STANDARD FORM (AX10n) ii. Adding two numbers and writing the results in standard form. iii. Subtracting one number from the other in standard form. iv. Multiplying numbers in standard form v. Dividing numbers in standard form including square root of such numbers. Teacher: Guides students to convert numbers to standard form with emphasis on the values of ‘A’ and ‘n’. Students: -Convert numbers to standard form -Convert long hand to short hand notation. (i.e. ordinary form to standard form and standard form to ordinary form) Instructional Resources: Charts of standard form and indices. 6 LOGARITHMS (I) i. Deducing logarithm from indices and standard form i.e. if y=10x, then x=logy10 ii. Definition of logarithm e.g. log101000=3 iii. Graph of y=10x using x=0.1, 0.2,……….. Teacher: Guides students to learn logarithm as inverse of indices with examples. -Define logarithm and find the various values of expressions like logaN -plot the graph of y=10x and read the required values. -to find logarithm of a number (characteristics, mantissa, differences and locate decimal points) and the antilogarithm. Students: Deduce the relationship between indices and logarithms. Define logarithm and find the various values of expressions like logaN numbers plot the graph of y=10x. Find the logarithm and antilogarithm of numbers greater than 1. Instructional Resources: Indices/logarithms chart, definition chart of logarithm, graph board with graph of y=10x, graph book etc. 7 LOGARITHM (II) Calculations involving multiplication and division. Teacher: Guides students to read logarithm and antilogarithm table in calculation involving multiplication and division. Students: Read the tables and solve problems involving multiplication and division. Instructional Resources: Logarithm table chart and Antilogarithm table chart made of flex banner logarithm table booklet. 8 LOGARITHM (III) i. Calculations involving power and roots using the logarithm tables. ii. Solving practical problems using logarithm tables relating to capital market. iii. Explain the concept of capital market operation iv. Use logarithm tables in multiplying the large numbers involved in capital market operation. Teacher: -Guides students to read logarithm and antilogarithm tables in calculations involving powers and roots. -Explain meaning of capital market. -Solve related problems and other real life problems. Students: Read the tables and solve problems involving multiplication and division, and solve problems related to real life problems. Instructional Resources: Logarithm tables chart, logarithm table booklet etc. 9 DEFINITION OF SETS i. Set notation – listing or roster method, rule method, set builder notation ii. Types of sets: e.g. universal set, empty set, finite set and infinite set, subset, disjoint set, power set etc. Teacher: Guides students to: -define set -define types of sets -write down set notations -use the objects in the classroom, around the school and within home to illustrate sets. Students: Define set, use set notations Identify types of sets. Instructional Resources: Objects in the classroom, sets of students, set of chairs, mathematical sets, other instrument etc. 10 SET OPERATIONS i. Union of sets and intersection of sets complement of sets. ii. Venn diagram iii. Venn diagram and application up to 3 set, problems Teacher: Guides students to explain and carry out set operations: -explains Venn diagram, draws, interprets and uses diagram. -applies Venn diagram to real life problems. Students: Carry out set operations, draw, interpret and use Venn diagrams. Instructional Resources: As in week nine above. 11 SIMPLE EQUATIONS i. Change of subject of formulae ii. Formula involving brackets, roots and powers. iii. Subject of formula and substitution. Teacher: Guides students in the process involved in changing the subject in a formula and carries out substitution. Students: Follow the process involved in changing subject in a formula and substitute in the formula. Instructional Resources: Charts displaying processes involved in change of subject in a formula. Charts displaying the various types. 12 SIMPLE EQUATION AND VARIATIONS i. Revision of simultaneous linear equation in two (2) unknown ii. Types and application of variations. Teacher: Revises solution of simultaneous equations in two unknowns. Treats each type of variation with examples and solve problems in variation. Students: Solve problems involving all types of variations. Instructional Resource s: As in week 11 above. 13 Revision/Examinations 14 Examinations

GENERAL MATHEMATICS
SS ONE SECOND TERM