SSS 3

Lesson 1 · Introduction and Simplification of Surds

• •Define surds and identify conjugate pairs of radical expressions.
• •Simplify surds by expressing them in their simplest basic forms.

Lesson 2 · Operations with Surds

• •Perform addition and subtraction of similar surds accurately.
• •Perform multiplication and division of surds including distributive laws.

Lesson 3 · Rationalization of Denominators

• •Apply the conjugate method to rationalize denominators of single surds.
• •Rationalize binomial denominators involving radical expressions.

Lesson 4 · Surd Equations and Geometric Applications

• •Solve equations involving radicals and check for extraneous solutions.
• •Apply surds to solve problems involving Pythagoras theorem and triangles.

Lesson 5 · Square Roots of Surds and Complex Simplification

• •Calculate the square root of a given surd expression.
• •Evaluate complex surd expressions using combined operations.

Lesson 1 · Introduction to Matrices and Types

• •Define matrices and identify types such as null, identity, and square.
• •State the order of a matrix based on rows and columns.

Lesson 2 · Addition, Subtraction, and Scalar Multiplication

• •Perform addition and subtraction on matrices of the same order.
• •Calculate the product of a matrix and a scalar quantity.

Lesson 3 · Multiplication of Matrices

• •Demonstrate the process of multiplying two compatible matrices.
• •Solve practical problems involving matrix multiplication.

Lesson 4 · Determinants and Inverse of 2x2 Matrices

• •Calculate the determinant of 2x2 and 3x3 matrices.
• •Determine the inverse of a non-singular 2x2 matrix.

Lesson 5 · Solving Linear Equations using Matrices

• •Apply Cramer’s rule to solve systems of two linear equations.
• •Use the matrix inversion method to solve simultaneous equations.

Lesson 1 · Review of Logarithm Laws and Equations

• •Apply logarithm laws to simplify complex numerical expressions.
• •Solve logarithmic equations by converting them to index form.

Lesson 2 · Logarithmic Calculations for Powers and Roots

• •Calculate powers and roots of numbers using four-figure tables.
• •Evaluate numerical problems involving multiple operations using logarithms.

Lesson 3 · Change of Base and Natural Logarithms

• •Define and solve problems involving natural logarithms (base e).
• •Apply change of base formula to evaluate logarithms.

Lesson 4 · Applications to Finance and Growth Models

• •Apply logarithms to solve compound interest problems in Naira.
• •Calculate population growth and decay using logarithmic models.

Lesson 5 · Graphs of Logarithmic Functions

• •Construct graphs of logarithmic and exponential functions.
• •Interpret points of intersection on logarithmic graphs.

Lesson 1 · Simple and Compound Interest Calculations

• •Calculate simple interest and compound interest on bank loans.
• •Solve problems involving appreciation and depreciation of assets.

Lesson 2 · Annuities and Future Value Considerations

• •Calculate the present and future value of an annuity.
• •Solve financial problems involving periodic payments and savings.

Lesson 3 · Mortgages and Hire Purchase Calculations

• •Calculate monthly repayments on mortgages and hire purchase items.
• •Compare the costs of different loan repayment plans.

Lesson 4 · Income Tax and Value Added Tax (VAT)

• •Calculate income tax based on the Nigerian tax system.
• •Determine VAT and other statutory deductions from gross income.

Lesson 5 · Stocks, Shares, and Investment Analysis

• •Calculate dividends on shares and interest on treasury bills.
• •Evaluate simple investment portfolios for returns and risks.

Lesson 1 · Distance and Midpoint Formulae

• •Calculate the distance between two points on a Cartesian plane.
• •Find the coordinates of the midpoint of a line segment.

Lesson 2 · Gradient and Slope of a Straight Line

• •Determine the gradient of a line passing through two points.
• •Calculate the angle of inclination of a straight line.

Lesson 3 · Equations of a Straight Line

• •Construct the equation of a line using the point-slope form.
• •Identify the intercept and gradient from a linear equation.

Lesson 4 · Parallel and Perpendicular Lines

• •Compare gradients to identify parallel and perpendicular lines.
• •Determine the equation of a line parallel to another.

Lesson 5 · Intersections and Perpendicular Distance

• •Calculate the point of intersection of two straight lines.
• •Determine the perpendicular distance from a point to a line.

Lesson 1 · Limits and Continuity of Functions

• •Explain the concept of a limit of a function.
• •Evaluate simple limits as the variable approaches a point.

Lesson 2 · Differentiation from First Principles

• •Derive the derivative of a function from first principles.
• •Calculate the gradient of a curve at a specific point.

Lesson 3 · Rules of Differentiation: Power Rule

• •Apply the power rule to differentiate algebraic functions.
• •Differentiate functions involving sums and differences of terms.

Lesson 4 · Differentiation of Transcendental Functions

• •Identify and differentiate trigonometric functions like sine and cosine.
• •Differentiate exponential and natural logarithmic functions.

Lesson 5 · Product and Quotient Rules

• •Apply the product rule to differentiate two multiplied functions.
• •Apply the quotient rule to differentiate divided algebraic functions.

Lesson 1 · Stationary Points: Maxima and Minima

• •Identify stationary points on a curve using first derivatives.
• •Distinguish between maximum and minimum points on a graph.

Lesson 2 · Tangents and Normals to a Curve

• •Calculate the equations of tangents to a curve.
• •Calculate the equations of normals to a curve.

Lesson 3 · Optimization Problems in Industry

• •Solve real-life optimization problems using differentiation techniques.
• •Calculate maximum area or minimum cost in practical scenarios.

Lesson 4 · Rates of Change and Kinematics

• •Calculate the rate of change of one variable with respect to another.
• •Solve problems involving velocity and acceleration in kinematics.

Lesson 5 · The Second Derivative and Curve Sketching

• •Use the second derivative to determine the nature of turning points.
• •Sketch curves using information from derivatives and intercepts.

Lesson 1 · Indefinite Integrals: Basic Rules

• •Describe integration as the reverse process of differentiation.
• •Solve indefinite integrals using the basic power rule.

Lesson 2 · Integration of Algebraic and Sum Functions

• •Calculate constant of integration using given boundary conditions.
• •Integrate functions involving sums and scalar multiples.

Lesson 3 · Integration by Substitution Method

• •Apply the method of substitution to solve complex integrals.
• •Evaluate integrals of the form f'(x)/f(x).

Lesson 4 · Definite Integrals and their Properties

• •State and apply the fundamental theorem of calculus.
• •Evaluate definite integrals within specified upper and lower limits.

Lesson 5 · Integration of Trigonometric and Exponential Functions

• •Integrate trigonometric functions such as sine and cosine.
• •Integrate simple exponential functions accurately.

Lesson 1 · Area Under a Curve: Part 1

• •Graph the region bounded by a curve and axes.
• •Calculate the area under a curve using definite integration.

Lesson 2 · Area Under a Curve: Part 2

• •Calculate the area between a curve and the y-axis.
• •Evaluate the area trapped between two intersecting curves.

Lesson 3 · Volume of Solids of Revolution

• •Calculate the volume of a solid generated by rotation.
• •Apply integration to find volumes of revolution about the axes.

Lesson 4 · Applications to Physics: Work and Motion

• •Calculate the total work done by a variable force.
• •Apply integration to find the distance from a velocity-time function.

Lesson 5 · Center of Gravity and Average Values

• •Calculate the center of gravity for simple laminae.
• •Evaluate average values of functions over a specific interval.

Lesson 1 · Measures of Central Tendency Revision

• •Calculate mean, median, and mode for grouped data sets.
• •Interpret frequency distribution tables and histograms for data.

Lesson 2 · Measures of Dispersion Revision

• •Calculate variance and standard deviation for grouped data.
• •Identify the range and interquartile range from data.

Lesson 3 · Probability Laws and Tree Diagrams

• •Calculate the probability of independent and dependent events.
• •Use tree diagrams to solve complex probability problems.

Lesson 4 · Advanced Probability and Binomial Distribution

• •Identify and apply binomial distribution to solve problems.
• •Calculate probabilities for mutually exclusive events.

Lesson 5 · Revision of Statistical Graphs and Data Analysis

• •Solve past WAEC questions on statistics and probability.
• •Apply statistical reasoning to interpret census and survey data.

Lesson 1 · Scalar and Vector Quantities Introduction

• •Distinguish between scalar quantities and vector quantities.
• •Represent vectors using directed line segments and components.

Lesson 2 · Vector Algebra and Scalar Multiplication

• •Perform addition and subtraction of vectors using components.
• •Calculate the product of a vector and a scalar.

Lesson 3 · Magnitude and Direction of Vectors

• •Calculate the magnitude of a two-dimensional vector.
• •Calculate the direction (bearing) of a given vector.

Lesson 4 · The Scalar Product and Angles

• •Calculate the scalar (dot) product of two vectors.
• •Determine the angle between two vectors using the dot product.

Lesson 5 · Applications of Vectors in Geometry and Mechanics

• •Apply vector methods to solve simple problems in geometry.
• •Solve resultant force problems using vector addition.

Lesson 1 · Algebra and Number Bases Revision

• •Solve past exam questions on Number and Numeration.
• •Apply algebraic rules to solve WAEC theory questions.

Lesson 2 · Geometry and Trigonometry Intensive Review

• •Solve problems on sets, logic, and trigonometry.
• •Evaluate geometric proofs and theorems from past papers.

Lesson 3 · Statistics and Data Presentation Workshop

• •Construct cumulative frequency curves (Ogive) for past data.
• •Interpret complex statistical charts from previous NECO exams.

Lesson 4 · Calculus and Coordinate Geometry Drills

• •Evaluate calculus-based problems from JAMB and WAEC.
• •Apply integration and differentiation to solve exam-standard problems.

Lesson 5 · Full Mock Exam and Strategy Session

• •Demonstrate effective time management during mock exam practice.
• •Compare common mistakes in theory questions to improve accuracy.