JSS 2 Mathematics Scheme of Work for Second Term

The Scheme of Work for the second term in JSS 2 is designed to help students grasp fundamental mathematical concepts with a practical approach. Below is a comprehensive guide to each topic with examples to enhance understanding.

Week(s)	Topic(s)	Content
Week 1	Revision	Review of the previous term’s work: key concepts and problem-solving techniques.
Week 2	Algebraic Expressions	Expansion and simplification, substitution, LCM and HCF of algebraic terms, factorization.
Week 3	Algebraic Expressions	Expansion leading to quadratic expressions, factorization, difference of two squares, fractions with monomial denominators.
Week 4	Simple Linear Equations	Solving simple equations, solving equations involving brackets and fractions, word problems.
Week 5	Linear Inequalities	Solving linear inequalities, graphical representation, multiplication/division by negative numbers.
Week 6	Graphs – Cartesian Plane	Constructing the Cartesian plane, plotting points, graphing linear equations, and interpreting data from a table.
Week 7	Graphs – Interpretation	Interpreting information from graphs, understanding gradients, intercepts, and real-life linear graphs.
Week 8	Plane Figures – Revision	Properties of quadrilaterals, areas of circles, quadrilaterals, and triangles (Pythagoras theorem).
Week 9	Scale Drawing and Patterns	Scale drawing of plane shapes, application of scale drawing in solving problems, and map drawing.
Week 10	Revision	Review of work covered during the second term.
Week 11	Examination	JS 2 Mathematics second-term examination.

Week 1: Revision

Objective: To refresh students on key concepts from the previous term, helping them build a strong foundation for the current term.

Explanation:

• Review Key Concepts: A detailed review of all topics covered previously, such as fractions, decimal operations, and basic arithmetic.
• Practice Problems: Revisit common problem types with step-by-step solutions.

Week 2: Algebraic Expressions

Objective: To understand and manipulate algebraic expressions by expanding, simplifying, and factorizing them.

Explanation:

• Expansion: Breaking down expressions like $(a+b)(a-b)$ into simpler terms.
• Simplification: Reducing complex algebraic expressions into simpler forms, such as $2x+3x$.
• Substitution: Replacing variables with specific values, such as $x=2$ in $3x+4$.
• LCM and HCF of Algebraic Terms: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of algebraic terms.
• Factorization: Breaking down algebraic expressions into products, such as x2−9=(x−3)(x+3)x^2 – 9 = (x – 3)(x + 3)x2−9=(x−3)(x+3).

Examples:

1. Expand $(x+2)(x-3)$.
2. Simplify $5x+3x$.
3. Substitute $x=4$ into $2x+5$.
4. Find the LCM of $2x$ and 3x23x^23x2.
5. Factorize x2+5x+6x^2 + 5x + 6x2+5x+6.
6. Simplify 6×3\frac{6x}{3}36x​.

Week 3: Algebraic Expressions (Continued)

Objective: Further study of algebraic expressions leading to quadratic equations and other advanced topics.

Explanation:

• Quadratic Expressions: Expand and factorize expressions like (x+1)2(x + 1)^2(x+1)2.
• Difference of Two Squares: Simplify expressions such as x2−9x^2 – 9x2−9.
• Monomial Denominators: Work with algebraic fractions with single variable denominators.
• Quantitative Reasoning: Applying algebra to solve real-world problems involving relationships between numbers.

Examples:

1. Expand (x+2)2(x + 2)^2(x+2)2.
2. Factorize x2−16x^2 – 16x2−16 (difference of squares).
3. Simplify 5x+3x\frac{5}{x} + \frac{3}{x}x5​+x3​.
4. Solve for $x$ in the equation $3x+5=11$.
5. Find the roots of x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0.
6. Solve a word problem involving the area of a rectangle with algebraic terms.

Week 4: Simple Linear Equations

Objective: To develop the ability to solve simple equations involving various operations and solve word problems.

Explanation:

• Solving Simple Equations: Solve equations like $2x+3=11$.
• Equations Involving Brackets: Expand and solve equations like $3(x+2)=12$.
• Solving Equations with Fractions: Work with equations such as x2+3=7\frac{x}{2} + 3 = 72x​+3=7.
• Word Problems: Apply algebra to real-life situations, such as finding the total cost or time.

Examples:

1. Solve $2x+3=11$.
2. Expand and solve $3(x+2)=12$.
3. Solve x2+3=7\frac{x}{2} + 3 = 72x​+3=7.
4. A car travels at 50 km/h. How far will it travel in 3 hours? Use simple equations.
5. Solve for $x$ in $4x-5=15$.
6. Solve 34x=12\frac{3}{4}x = 1243​x=12.

Week 5: Linear Inequalities in One Variable

Objective: Introduce the concept of inequalities and how to solve them.

Explanation:

• Inequality Symbols: Understanding the meaning of $<,\le ,>,\ge$.
• Solving Linear Inequalities: Solve inequalities like $x+3>5$.
• Multiplication and Division by Negative Numbers: Rules for solving inequalities when multiplying or dividing by negative numbers.
• Graphical Representation: Represent the solutions of inequalities on the number line.

Examples:

1. Solve $x+3>5$.
2. Solve $-2x\le 4$.
3. Represent $x>3$ on a number line.
4. Solve $4x-7\ge 5$.
5. Solve $3x-5>10$.
6. Solve x2<3\frac{x}{2} < 32x​<3.

Week 6: Graphs – Cartesian Plane

Objective: Teach students how to plot points on the Cartesian plane and interpret graphs of linear equations.

Explanation:

• Constructing the Cartesian Plane: Introduction to the axes, quadrants, and plotting points.
• Plotting Linear Equations: Plot points and graph linear equations.
• Interpreting Data from a Table: Use tables to plot graphs and analyze the data.

Examples:

1. Plot the point $(2,3)$ on the Cartesian plane.
2. Graph the linear equation $y=2x+1$.
3. Plot points for $x=-1,0,1,2$ and graph the equation $y=x+1$.
4. Find the slope of a line given two points.
5. Interpret the graph of a linear function to solve problems.
6. Graph the equation $y=3x-4$.

Week 7: Graphs – Interpretation

Objective: To interpret information from graphs and apply it to real-life situations.

Explanation:

• Gradients and Intercepts: Understanding the gradient of a line and its intercepts on the axes.
• Types of Graphs: Continuous vs. discontinuous graphs.
• Real-Life Situations: Use graphs to solve problems related to distance, velocity, and travel.

Examples:

1. Find the gradient of the line through $(1,2)$ and $(3,6)$.
2. Interpret a distance-time graph for a moving car.
3. Understand the meaning of the slope in a velocity-time graph.
4. Analyze a conversion graph for currency exchange.
5. Identify the intercepts of the equation $y=2x+3$.
6. Describe a continuous graph from a real-life situation.

Week 8: Plane Figures – Revision

Objective: Review the properties of quadrilaterals and other plane figures.

Explanation:

• Properties of Quadrilaterals: Study parallelograms, rhombuses, and kites.
• Areas of Plane Figures: Review formulas for the area of circles, quadrilaterals, and triangles.
• Pythagoras’ Theorem: Introduce the relationship between the sides of a right-angled triangle.

Examples:

1. Find the area of a parallelogram.
2. Calculate the area of a circle.
3. Apply the Pythagorean theorem to find the hypotenuse of a right triangle.
4. Determine the area of a triangle using A=12bhA = \frac{1}{2}bhA=21​bh.
5. Find the area of a rhombus.
6. Solve problems involving Pythagorean triples.

Week 9: Scale Drawing and Patterns

Objective: Teach students how to draw scaled representations and solve related problems.

Explanation:

• Scale Drawing: Learn how to draw accurate scale representations of plane shapes.
• Application: Apply scale drawing techniques to real-world problems, including maps.

Examples:

1. Draw a scale model of a rectangle using a scale of 1:2.
2. Solve problems involving maps and scale drawings.
3. Create a scale drawing of a building floor plan.
4. Draw a pattern using basic geometric shapes.
5. Solve problems involving the conversion of scale measurements.
6. Create a pattern using a sequence of shapes.

Week 10: Revision

Objective: Review all topics covered in the second term to prepare for the final examination.

Examples:

1. Solve problems from each of the topics covered in the term.
2. Review all key formulas and concepts.
3. Practice solving equations, graphing, and geometric problems.

Week 11: Examination

Objective: Assess students’ understanding of all topics through an examination.