JSS 3

Lesson 1 · Conversion between Base Two and Base Ten

• •Convert numbers from base two to base ten accurately.
• •Convert numbers from base ten to base two using long division.

Lesson 2 · Addition and Subtraction of Binary Numbers

• •Add two or three binary numbers correctly.
• •Subtract binary numbers using the borrowing method.

Lesson 3 · Multiplication and Division of Binary Numbers

• •Perform multiplication of two binary numbers.
• •Divide a binary number by a smaller binary number.

Lesson 4 · Binary Fractions and Basic Operations

• •Calculate sum and difference of binary numbers involving fractions.
• •Apply binary arithmetic to solve simple computer-related problems.

Lesson 5 · Practical Applications of Binary Numbers

• •Identify the use of binary systems in modern electronic devices.
• •Solve mixed calculation problems involving binary numbers.

Lesson 1 · Identification of Rational Numbers

• •Define rational numbers as ratios of two integers.
• •Distinguish between terminating and recurring decimals.

Lesson 2 · Properties of Non-Rational Numbers

• •Explain the concept of non-rational (irrational) numbers.
• •Identify examples of irrational numbers like Pi and surds.

Lesson 3 · Converting Fractions to Decimals and Percentages

• •Convert common fractions to decimals and vice versa.
• •Express recurring decimals in fraction form.

Lesson 4 · Representation on the Number Line

• •Locate rational and non-rational numbers on a number line.
• •Compare the magnitude of different rational numbers.

Lesson 5 · Operations with Rational Numbers

• •Outline the differences between rational and non-rational numbers.
• •Solve problems involving basic operations with rational numbers.

Lesson 1 · Introduction to Compound Interest

• •Differentiate between simple interest and compound interest.
• •Calculate compound interest manually by year-by-year steps.

Lesson 2 · Using the Compound Interest Formula

• •Apply the compound interest formula to solve financial problems.
• •Calculate the total amount due on a loan over time.

Lesson 3 · Naira-based Financial Calculations and Savings

• •Solve compound interest problems related to bank savings in Naira.
• •Calculate interest rates when principal and time are given.

Lesson 4 · Depreciation and Value Reduction

• •Calculate the reduction in value of assets over time.
• •Apply the depreciation formula to vehicles and machinery.

Lesson 5 · Real-life Applications of Compound Interest

• •Compare compound interest from different banks to make decisions.
• •Solve real-life problems involving inflation and population growth.

Lesson 1 · Laws of Indices: Multiplication and Division

• •State the product and quotient laws of indices.
• •Apply product and quotient laws to simplify expressions.

Lesson 2 · Zero and Negative Indices

• •Explain the meaning of zero and negative indices.
• •Simplify algebraic expressions involving negative powers.

Lesson 3 · The Power Law of Indices

• •Apply the power law to simplify complex index expressions.
• •Solve problems involving the power of a power.

Lesson 4 · Fractional Indices and Roots

• •Interpret and calculate numbers with fractional indices.
• •Relate fractional indices to square and cube roots.

Lesson 5 · Solving Simple Exponential Equations

• •Solve simple equations involving unknown indices.
• •Express large numbers in standard form using indices.

Lesson 1 · Introduction to Fractional Equations

• •Identify linear equations containing fractional coefficients.
• •Find the Lowest Common Multiple of denominators in equations.

Lesson 2 · Solving Equations by Clearing Denominators

• •Apply the multiplication method to clear fractions from equations.
• •Solve linear equations with one fractional term.

Lesson 3 · Equations with Unknown Denominators

• •Solve equations where the unknown is in the denominator.
• •Apply cross-multiplication techniques to solve fractional proportions.

Lesson 4 · Word Problems Involving Fractions

• •Translate word problems into linear equations with fractions.
• •Solve age-related word problems involving fractional parts.

Lesson 5 · Advanced Solving and Verification

• •Evaluate the accuracy of solutions by substituting back into equations.
• •Solve complex fractional equations involving multiple terms.

Lesson 1 · Solving by Substitution Method

• •Explain the concept of simultaneous equations with two unknowns.
• •Solve simultaneous equations using the substitution method.

Lesson 2 · Solving by Elimination Method

• •Apply the elimination method to solve linear systems.
• •Determine when to add or subtract equations for elimination.

Lesson 3 · Graphical Method of Solving Equations

• •Construct a table of values for two linear equations.
• •Identify the point of intersection on a graph as the solution.

Lesson 4 · Word Problems on Simultaneous Equations

• •Translate real-life scenarios into a pair of simultaneous equations.
• •Solve Naira-based purchase problems involving two different items.

Lesson 5 · Mixed Practice and Comparison of Methods

• •Solve simultaneous equations involving fractional coefficients.
• •Compare the efficiency of different methods for specific problems.

Lesson 1 · Factorisation by Common Factors

• •Identify common factors in algebraic terms.
• •Factorise expressions by taking out the highest common factor.

Lesson 2 · Factorisation by Grouping Terms

• •Group algebraic terms to facilitate factorisation.
• •Factorise four-term expressions using the grouping method.

Lesson 3 · Difference of Two Squares

• •Recognize patterns of the difference of two squares.
• •Factorise quadratic expressions using the difference of two squares.

Lesson 4 · Factorising Simple Quadratic Trinomials

• •Identify the coefficients in a simple quadratic expression.
• •Factorise quadratic trinomials with a leading coefficient of one.

Lesson 5 · Applications of Factorisation

• •Apply factorisation to simplify complex algebraic fractions.
• •Solve problems involving the area of shapes using factorisation.

Lesson 1 · Understanding the Pythagoras Property

• •State the relationship between sides of a right-angled triangle.
• •Identify the hypotenuse in various right-angled triangle orientations.

Lesson 2 · Calculating Missing Sides

• •Calculate the length of the hypotenuse using the theorem.
• •Solve for a missing shorter side of a right-angled triangle.

Lesson 3 · Pythagorean Triples and Verification

• •Identify sets of three integers that satisfy Pythagoras' theorem.
• •Verify if a given triangle is right-angled using side lengths.

Lesson 4 · Calculations in Real-life Scenarios

• •Apply Pythagoras' theorem to find lengths in rectangular shapes.
• •Solve problems involving ladders leaning against vertical walls.

Lesson 5 · Coordinate Geometry and Complex Problems

• •Calculate the distance between two points on a grid.
• •Solve multi-step problems involving Pythagoras and area calculation.

Lesson 1 · Identifying Similar Figures

• •Identify similar shapes based on equal corresponding angles.
• •Distinguish between congruent shapes and similar shapes.

Lesson 2 · Scale Factors and Enlargement

• •Calculate the scale factor between two similar shapes.
• •Find missing lengths in triangles using scale factors.

Lesson 3 · Area Ratios of Similar Shapes

• •Explain the relationship between scale factors and area ratios.
• •Calculate the area of a large shape using the ratio.

Lesson 4 · Volume Ratios of Similar Solids

• •Describe the connection between scale factors and volume ratios.
• •Calculate volumes of similar solids using the ratio of cubes.

Lesson 5 · Practical Applications of Similarity

• •Apply similarity principles to calculate heights of tall buildings.
• •Solve map-reading problems involving scale and actual distances.

Lesson 1 · Tangent Ratio of an Angle

• •Define the tangent ratio using opposite and adjacent sides.
• •Calculate the tangent of angles using tables or calculators.

Lesson 2 · Sine and Cosine Ratios

• •Define sine and cosine ratios in right-angled triangles.
• •Calculate sine and cosine values for given acute angles.

Lesson 3 · Solving for Missing Sides

• •Use SOHCAHTOA to select the correct trigonometric ratio.
• •Calculate missing side lengths in right-angled triangles.

Lesson 4 · Calculating Missing Angles

• •Calculate the size of an angle given two sides.
• •Apply inverse trigonometric functions to solve geometry problems.

Lesson 5 · Angles of Elevation and Depression

• •Solve problems involving angles of elevation and depression.
• •Calculate heights of local landmarks using trigonometric ratios.

Lesson 1 · Surface Area of Cubes and Cuboids

• •Identify the net of a cube and cuboid.
• •Calculate the total surface area of rectangular prisms.

Lesson 2 · Mensuration of Cylinders

• •Apply the formula to find the volume of cylinders.
• •Calculate the curved surface area of cylindrical containers.

Lesson 3 · Volume and Surface Area of Cones

• •Identify the properties of cones and their slant heights.
• •Calculate the volume of a cone using the standard formula.

Lesson 4 · Mensuration of Spheres

• •Calculate the surface area of a spherical object.
• •Calculate the volume of spheres or hemispherical bowls.

Lesson 5 · Practical Capacity and Cost Problems

• •Solve problems involving the capacity of water tanks.
• •Calculate the cost of painting surfaces based on area.

Lesson 1 · Basic Concepts of Probability

• •Define probability as the likelihood of an event occurring.
• •Identify the range of probability values from 0 to 1.

Lesson 2 · Experimental and Theoretical Probability

• •Calculate the probability of picking a specific colored marble.
• •Solve simple probability problems using a deck of cards.

Lesson 3 · Probability with Coins and Dice

• •List the sample space for tossing one or two coins.
• •Calculate the probability of different outcomes when rolling dice.

Lesson 4 · Using Tree Diagrams for Probability

• •Represent outcomes of events using a clear tree diagram.
• •Calculate the probability of combined events using the diagram.

Lesson 5 · Real-life Applications of Probability

• •Apply probability to predict outcomes in Nigerian sports games.
• •Solve real-life decision-making problems using probability estimates.