SS1 Mathematics 1st Term Lesson Note and Scheme of Work by Week
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Linear Equations and Word Problems Leading to Linear Equations
SUB TOPICS:
A. Importance of mathematics to everyday life
B. Linear Equations and Equations with Brackets
C. Equations with Fractions
D. Equations from Word Problems
E. Application of Simple Linear Equations to everyday life
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LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 State the importance of mathematics to everyday life situation.
2 Solve simple linear equations.
3 Solve linear equations that contains brackets and fractions.
4 Interpret and solve equations involving word problems.
5 Create and solve equations from word problems.
Algebraic Expressions: Expansion and Factorization
SUB TOPICS:
A. Use of letters and grouping like terms
B. Removing brackets leading to expansion
C. Addition and subtraction of algebraic fractions
D. Factorization of algebraic terms
E. Substitution into algebraic expressions
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Use letters of the alphabet to represent numbers.
2 Simplify algebraic expressions by grouping like terms, by removing brackets and by expanding brackets.
3 Add and subtract algebraic fractions.
4 Factorize algebraic expressions by determining common factors and by grouping terms.
5 Substitute values into given algebraic expressions.
Number Base Systems
SUB TOPICS:
A. Types of Bases e.g. Binary, Denary, Octal, etc
B. Addition and Subtraction of Number Bases
C. Multiplication and Division of Number Bases
D. Conversion of Numbers from Base 10 to other Bases
E. Conversion of Numbers from Other Bases to Base Ten
F. Equations Involving Number Bases and Binary Fractions / Bicimals
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Identify the various types of bases.
2 Perform the operations of addition, subtraction, multiplication and division of numbers in various bases.
3 Add, subtract, multiply and divide numbers in various bases.
4 Convert numbers from base ten to other bases.
5 Convert numbers from other bases to base ten.
6 Solve equations involving number bases and binary fractions or bicimal.
Indices: Application of Laws of Indices
SUB TOPICS:
A. Laws of Indices
B. Application of Product and Division Laws
C. Application of Zero index and Negative Indices Law
D. Application of Fractional Indices Law
E. Summary of Laws of Indices
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 State the laws of indices.
2 Recall and use the laws of indices.
3 Simplify expressions that contain product and division laws and fractional indices law.
4 Apply zero index and negative indices to simplify expression.
5 Use the laws of indices, multiplication, division, zero, and reciprocal to simplify expression.
Indicial Equations that Lead to Linear Equations
SUB TOPICS:
A. Indicial Equations of the form 2×3 = 54, etc
B. Indicial Equations that are raised to a negative power e.g. X-2 = 9, etc
C. Indicial Equations that are raised to a fractional power e.g. 2×1/2 = -14, etc
D. Quantitative reasoning relating to indicial equations
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Solve simple equations containing indices.
2 Solve indicial equations that are raised to negative power.
3 Solve indicial equations with fractions as power.
4 Solve equations that combine different forms.
Approximation of Numbers and Standard Form
SUB TOPICS:
A. Significant figures of whole numbers and decimal fractions
B. Decimal place of numbers
C. Rounding off a number to the nearest whole number
D. Rounding off a number to the nearest decimal fractions
E. Standard Form
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Find the significant figures of whole numbers and decimal fractions.
2 Approximate numbers to the nearest decimal places.
3 Round up numbers to the nearest whole numbers.
4 Round off numbers to the nearest decimal fractions.
5 Express and interpret numbers in standard form.
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Plane Shapes
SUB TOPICS:
A. Properties of plane shapes
B. Perimeters of regular plane shapes
C. Perimeters of irregular plane shapes
D. Areas of regular plane shapes
E. Areas of irregular plane shapes
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 State properties of some plane shapes.
2 Recall and use appropriate formulae to calculate the perimeters of plane shapes.
3 Find the perimeters of irregular plane shapes.
4 Deduce the formulae to calculate perimeters of plane shapes.
5 Recall and use appropriate formulae to calculate areas of plane shapes.
6 Find the areas of irregular plane shapes.
7 Deduce the formulae to calculate areas of plane shapes.
Polygons and their Theorems
SUB TOPICS:
A. Revision of types of polygons, e.g. triangles, quadrilaterals, pentagons, octagons, etc
B. Theorem 1: Sum of angles in a triangle is 180◦ and its applications
C. Theorem 2: Exterior angles of a triangle is equal to sum of opposite interior angles and its applications
D. Theorem 3: Sum of the interior angles of any N-sided convex polygon is (2n-4) right-angled. Prove of the theorem and its application
E. Theorem 4: The sum of the exterior angles of any convex polygon is 4 right-angled. Applications with examples
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Name various types of polygons and their properties.
2 Prove that the sum of angles in a triangle is 180◦ and apply it in an example.
3 Prove that the exterior angle of a triangle is equal to the sum of opposite interior angles and state its application.
4 Prove that the sum of interior angles of any N-sided convex polygon is (2n – 4) right-angled.
5 Prove that the sum of the exterior angles of any convex polygon is 4 right-angled (360◦)
Statistics I
SUB TOPICS:
A. Introduction to data presentation and revision of frequency table
B. Drawing of bar chart and pie chart
C. Interpretation of bar and pie charts
D. Drawing of frequency polygon
E. Quantitative reasoning on statistics
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Collect, tabulate and present data in meaningful form.
2 Construct frequency table from given data.
3 Draw and identify different types of bar charts.
4 Draw pie chart and frequency polygon accurately from given data.
5 Identify the differences between bar charts and histograms.
(Ana Arm Technologies)
Solving Linear Equations and Word Problems Leading to Linear Equations
Algebraic Expression: Expansion and Factorization
Number Base Systems
Indices: Application of Laws of Indices
Indicial Equations that Lead to Linear Equations
Approximation of Numbers and Standard Form
Logarithms and Anti Logarithms of Number Greater than One
Plane Shapes
Polygons and their Theorems
Statistics I
Online Quiz
Reference Textbooks
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