SSS 1

Lesson 1 · Conversion of Number Bases

• •Convert numbers from base ten to other bases such as base two and eight.
• •Convert numbers from various bases back to the denary system (base ten).

Lesson 2 · Operations in Base Bases

• •Perform addition and subtraction of numbers in bases other than base ten.
• •Carry out multiplication and division operations involving binary and other number bases.

Lesson 3 · Equations involving Number Bases

• •Solve equations involving unknown variables within different number base systems.
• •Apply base conversion techniques to find value of unknown variables in equations.

Lesson 4 · Number Bases with Fractions

• •Convert decimal fractions in base ten to their equivalent values in other bases.
• •Convert fractional parts of numbers in other bases back to base ten.

Lesson 5 · Applications of Binary Numbers in Computing

• •Convert base ten numbers to base two for use in computer-related calculations.
• •Solve practical problems related to computer data storage using binary logic.

Lesson 1 · Concept of Modular Arithmetic

• •Explain the concept of modular arithmetic using the clock analogy.
• •Identify cycles in daily life settings such as days of the week.

Lesson 2 · Operations in Modular Arithmetic

• •Perform addition and subtraction operations within a given modulo system.
• •Solve multiplication problems in various moduli using the residue classes.

Lesson 3 · Inverse and Identity Elements in Modulo

• •Identify the additive and multiplicative inverses of numbers within a specific modulo.
• •Apply the properties of identity elements in modular arithmetic calculations.

Lesson 4 · Applications of Modular Arithmetic

• •Solve linear equations involving a single unknown within a modular system.
• •Apply modular arithmetic to solve real-life scheduling and cycling problems.

Lesson 5 · Modular Arithmetic and Division Remainder

• •Demonstrate the relationship between modular arithmetic and the division of integers.
• •Evaluate the remainders of large numbers when divided by specific integers.

Lesson 1 · Laws and Applications of Indices

• •Apply the laws of indices to simplify complex algebraic expressions.
• •Solve exponential equations using the fundamental principles of indices and powers.

Lesson 2 · Relationship between Indices and Logarithms

• •Explain the relationship between the power of a number and its logarithm.
• •Convert expressions from index form to logarithmic form and vice versa.

Lesson 3 · Basic Laws of Logarithms

• •Apply the laws of logarithms to simplify products and quotients of numbers.
• •Use the power law of logarithms to evaluate expressions involving exponents.

Lesson 4 · Logarithms of Numbers Greater than One

• •Use four-figure tables to find the logarithms and antilogarithms of numbers.
• •Calculate products and quotients of numbers greater than one using logarithm tables.

Lesson 5 · Logarithms of Numbers Less than One

• •Evaluate numbers less than one using logarithm tables and negative characteristics.
• •Solve calculations involving roots and powers of decimal numbers using log tables.

Lesson 1 · Definition and Notation of Sets

• •Define a set and identify different types of sets like finite and infinite.
• •Use set notation such as braces, elements, and null set symbols correctly.

Lesson 2 · Subsets and Universal Sets

• •Explain the concept of a subset and a universal set.
• •Calculate the number of possible subsets within a given finite set.

Lesson 3 · Union, Intersection, and Complement of Sets

• •Determine the union and intersection of two or more given sets.
• •Find the complement of a set relative to a given universal set.

Lesson 4 · Venn Diagrams with Two Sets

• •Represent set relationships and operations using clearly labeled Venn diagrams.
• •Interpret information and data presented visually through standard Venn diagrams.

Lesson 5 · Problem Solving with Sets

• •Apply the principles of sets and Venn diagrams to solve real-world survey problems.
• •Evaluate data from word problems to find unknown values using set theory.

Lesson 1 · Solving Simple Linear Equations

• •Solve linear equations involving one variable using various algebraic methods.
• •Apply the principles of linear equations to solve practical word problems.

Lesson 2 · Direct Variation

• •Explain the concept of direct variation between two physical quantities.
• •Solve mathematical problems involving direct variation and the constant of proportionality.

Lesson 3 · Inverse Variation

• •Identify the relationship between variables in an inverse variation scenario.
• •Calculate unknown values in inverse variation problems using the variation constant.

Lesson 4 · Joint Variation

• •Solve problems involving joint variation where three or more variables are linked.
• •Formulate mathematical equations for variables that vary jointly with others.

Lesson 5 · Partial Variation

• •Differentiate between partial variation and other types of variation models.
• •Solve equations involving partial variation and determine the specific constant values.

Lesson 1 · General Form and Factorization Method

• •Identify quadratic expressions and state the general form of a quadratic equation.
• •Factorize quadratic expressions using the grouping and trial methods.

Lesson 2 · Solving Quadratic Equations by Factorization

• •Solve quadratic equations by finding the roots using the factorization method.
• •Construct quadratic equations when the specific roots of the equation are given.

Lesson 3 · Completing the Square Method

• •Apply the completing the square technique to solve various quadratic equations.
• •Explain the step-by-step process of making a quadratic expression a perfect square.

Lesson 4 · The General Quadratic Formula

• •Derive and apply the quadratic formula to find roots of equations.
• •Solve complex quadratic equations that cannot be easily factorized using the formula.

Lesson 5 · Graphical Solution of Quadratic Equations

• •Solve quadratic equations graphically by plotting the corresponding parabolic curve.
• •Identify the roots and the turning point of a quadratic graph.

Lesson 1 · Simple and Compound Statements

• •Distinguish between simple and compound statements in a logical context.
• •Identify the truth value of basic mathematical and logical statements.

Lesson 2 · Logical Connectives and Symbols

• •Apply logical operators like 'and', 'or', and 'not' to connect statements.
• •Construct compound statements using appropriate logical symbols and connectives.

Lesson 3 · Truth Tables for Conjunction and Disjunction

• •Construct truth tables for various logical operations and compound statements.
• •Evaluate the truth values of complex expressions using organized truth tables.

Lesson 4 · Conditional and Biconditional Statements

• •Explain conditional statements and their corresponding truth table values.
• •Analyze biconditional statements and determine when they are logically true.

Lesson 5 · Validity of Logical Arguments

• •Distinguish between valid and invalid arguments using logical reasoning principles.
• •Identify tautologies and contradictions within a given set of logical statements.

Lesson 1 · Bisecting Lines and Angles

• •Bisect a given line segment into two equal parts using a compass.
• •Construct a perpendicular bisector for any given straight line segment.

Lesson 2 · Construction of Standard Angles

• •Construct standard angles such as 90, 60, and 30 degrees using instruments.
• •Demonstrate how to bisect angles to obtain 45, 15, and 75 degrees.

Lesson 3 · Construction of Triangles - Part 1

• •Construct a triangle given the lengths of its three sides (SSS).
• •Construct a triangle given two sides and the included angle (SAS).

Lesson 4 · Construction of Triangles - Part 2

• •Draw a triangle given two angles and one side (ASA).
• •Verify the accuracy of constructed triangles using a protractor and ruler.

Lesson 5 · Locus of Points in Geometry

• •Define a locus and identify simple loci in a two-dimensional plane.
• •Construct the locus of points equidistant from two intersecting straight lines.

Lesson 1 · Area of Basic Polygons

• •Calculate the perimeter and area of squares, rectangles, and triangles.
• •Solve problems involving the area of composite shapes made of rectangles.

Lesson 2 · Area of Special Quadrilaterals

• •Calculate the area of trapeziums, parallelograms, and rhombuses using standard formulas.
• •Apply area formulas to solve practical land measurement problems in Nigeria.

Lesson 3 · Area and Circumference of Circles

• •Calculate the circumference and area of a full circle and semi-circle.
• •Find the area of a sector and length of an arc.

Lesson 4 · Surface Area and Volume of Prisms

• •Calculate the total surface area of cubes, cuboids, and cylinders.
• •Evaluate the volume of rectangular prisms and cylinders in cubic units.

Lesson 5 · Volume of Cones and Spheres

• •Calculate the volume and surface area of cones and spheres.
• •Compare the volumes of different solid shapes with similar base areas.

Lesson 1 · Introduction to SOH CAH TOA

• •Define sine, cosine, and tangent ratios using a right-angled triangle.
• •Identify the opposite, adjacent side, and hypotenuse in a right-angled triangle.

Lesson 2 · Solving for Sides and Angles

• •Calculate unknown side lengths in a right-angled triangle using trigonometric ratios.
• •Determine the sizes of unknown angles using inverse trigonometric functions.

Lesson 3 · Trigonometric Ratios of Special Angles

• •State the sine, cosine, and tangent values for 30, 45, and 60 degrees.
• •Evaluate mathematical expressions involving trigonometric ratios of special angles.

Lesson 4 · Angles of Elevation and Depression

• •Identify the angle of elevation and angle of depression in word problems.
• •Apply trigonometric ratios to calculate heights and distances in real-life scenarios.

Lesson 5 · Practical Applications of Trigonometry

• •Solve horizontal distance and height problems using tangent ratios in Nigerian contexts.
• •Demonstrate how to measure the height of a flagpole using trigonometry.

Lesson 1 · Types and Sources of Data

• •Distinguish between discrete data and continuous data in statistical studies.
• •Identify primary and secondary sources of data collection in a community.

Lesson 2 · Frequency Distribution Tables for Ungrouped Data

• •Organize raw data into a clear and concise frequency distribution table.
• •Tally data points accurately to determine the frequency of specific observations.

Lesson 3 · Frequency Distribution for Grouped Data

• •Group large sets of data into appropriate class intervals for analysis.
• •Determine the class mid-points and class boundaries for grouped frequency tables.

Lesson 4 · Measures of Central Tendency Concept

• •Calculate the mean, median, and mode for a set of ungrouped data.
• •Identify the modal class in a grouped frequency distribution table.

Lesson 5 · Introduction to Data Dispersion

• •Explain the concept of range as a measure of data dispersion.
• •Solve basic problems evaluating the spread of data in a given set.

Lesson 1 · Constructing and Interpreting Bar Charts

• •Represent categorical data using accurately scaled and labeled bar charts.
• •Interpret information presented in vertical and horizontal bar charts.

Lesson 2 · Pie Charts and Sector Calculations

• •Calculate the sector angles for different categories in a data set.
• •Construct a pie chart to show the proportional distribution of items.

Lesson 3 · Histograms for Grouped Data

• •Construct a histogram to represent a grouped frequency distribution.
• •Explain the difference between a bar chart and a histogram in statistics.

Lesson 4 · Frequency Polygons

• •Plot a frequency polygon by connecting the mid-points of class intervals.
• •Use frequency polygons to compare two different sets of statistical data.

Lesson 5 · Cumulative Frequency Curves (Ogive)

• •Draw a cumulative frequency curve (Ogive) using the upper class boundaries.
• •Estimate the median of a data set from a plotted Ogive curve.