SSS 2

Lesson 1 · Logarithm operations for multiplication and division

• •Solve problems involving multiplication and division of large numbers using logarithm tables.
• •Calculate powers and roots of numbers greater than one using logarithm rules.

Lesson 2 · Application of Logarithm Laws

• •Calculate the logarithm of numbers using the product and quotient laws.
• •Apply change of base formula to simplify complex logarithmic expressions.

Lesson 3 · Logarithms of powers and roots

• •Solve numerical problems involving squares and square roots of numbers using tables.
• •Evaluate expressions involving fractional indices using logarithmic methods.

Lesson 4 · Relationship between indices and logarithms

• •Explain the relationship between indices and logarithms in base ten.
• •Convert numbers from index form to logarithmic form and vice versa.

Lesson 5 · Practical applications of logarithms

• •Solve practical word problems using logarithmic tables for accuracy.
• •Demonstrate the use of antilogarithm tables to find final numerical values.

Lesson 1 · Rounding off numbers and significant figures

• •Approximate numbers to specified decimal places and significant figures.
• •Identify the range of values for given measurements based on precision.

Lesson 2 · Absolute and Relative Error calculation

• •Calculate the absolute error in a given measurement or calculation.
• •Solve for the relative error in various mathematical computations.

Lesson 3 · Calculating Percentage Error

• •Calculate percentage error in measurements like length and mass.
• •Compare the accuracy of different measurements using percentage error.

Lesson 4 · Practical applications of percentage error

• •Solve real-life problems involving error in financial estimations and trade.
• •Evaluate the impact of rounding errors on final calculated results.

Lesson 5 · Limits of accuracy and bounds

• •Calculate the upper and lower bounds of a measured quantity.
• •Apply error limits to solve problems involving area and volume.

Lesson 1 · Arithmetic Progression (AP) - nth term

• •Identify the first term and common difference of an Arithmetic Progression.
• •Calculate the nth term of a given Arithmetic Progression.

Lesson 2 · Sum of Arithmetic Progression

• •Solve problems involving the sum of the first n terms of an AP.
• •Apply the sum of AP formula to solve real-life saving problems.

Lesson 3 · Geometric Progression (GP) - nth term

• •Identify the common ratio of a Geometric Progression (GP).
• •Calculate the nth term of a given Geometric Progression.

Lesson 4 · Sum of Geometric Progression and Infinity

• •Calculate the sum of terms in a finite Geometric Progression.
• •Solve for the sum to infinity of a convergent geometric series.

Lesson 5 · Practical applications of sequences and series

• •Solve word problems involving sequences in population growth and simple interest.
• •Compare properties of arithmetic and geometric sequences in tabular form.

Lesson 1 · Methods of solving quadratic equations

• •Solve quadratic equations using the factorization method.
• •Apply the quadratic formula to find roots of non-factorable equations.

Lesson 2 · Completing the square and forming equations

• •Solve quadratic equations by the method of completing the square.
• •Construct quadratic equations from given roots or solutions.

Lesson 3 · Linear inequalities in one variable

• •Solve linear inequalities in one variable and represent on a number line.
• •Apply basic rules of inequality signs when multiplying by negative numbers.

Lesson 4 · Quadratic inequalities in one variable

• •Solve quadratic inequalities and represent the solution set on a number line.
• •Determine the range of values satisfying a given quadratic inequality.

Lesson 5 · Word problems and properties of roots

• •Solve word problems leading to quadratic equations in agricultural and business contexts.
• •Evaluate the roots of quadratic equations using the discriminant method.

Lesson 1 · Simultaneous linear inequalities

• •Solve simultaneous linear inequalities in one variable.
• •Represent the solutions of simultaneous inequalities on a single number line.

Lesson 2 · Graphs of linear inequalities in two variables

• •Graph linear inequalities in two variables on a Cartesian plane.
• •Identify the required region satisfying a given linear inequality.

Lesson 3 · Systems of linear inequalities and shading regions

• •Identify the feasible region satisfying a system of linear inequalities.
• •Shade the region containing the set of points satisfying multiple inequalities.

Lesson 4 · Applications of linear inequalities

• •Formulate linear inequalities from word problems involving budget and time constraints.
• •Calculate the maximum or minimum values within a shaded region.

Lesson 5 · Advanced inequality problem solving

• •Solve complex inequality problems involving fractional coefficients.
• •Demonstrate the application of inequalities in optimizing local business resources.

Lesson 1 · Simplification of algebraic fractions

• •Simplify algebraic fractions by factoring the numerator and denominator.
• •Apply basic arithmetic operations to simplify complex algebraic expressions.

Lesson 2 · Addition and subtraction of algebraic fractions

• •Perform addition and subtraction of algebraic fractions with different denominators.
• •Calculate the lowest common multiple of algebraic denominators.

Lesson 3 · Equations involving algebraic fractions

• •Solve for unknown variables in equations involving algebraic fractions.
• •Demonstrate the process of cross-multiplication in fractional equations.

Lesson 4 · Undefined algebraic fractions

• •Identify the undefined values for a given algebraic fraction.
• •Explain why a denominator cannot result in zero in a fraction.

Lesson 5 · Substituting values and word problems

• •Simplify word problems involving ratios expressed as algebraic fractions.
• •Solve complex fractional equations resulting in linear or quadratic forms.

Lesson 1 · Properties of chords in a circle

• •Identify circle parts including chords, segments, and sectors.
• •Apply the theorem relating the perpendicular from the center to a chord.

Lesson 2 · Calculations involving chord lengths

• •Calculate the length of a chord given the radius and distance from center.
• •Solve for the radius using chord length and its perpendicular distance.

Lesson 3 · Properties of tangents to a circle

• •Identify a tangent as a line perpendicular to the radius at contact.
• •Apply the theorem that tangents from an external point are equal.

Lesson 4 · Angles in the alternate segment

• •Solve problems using the alternate segment theorem.
• •Calculate angles formed by chords and tangents in various circle configurations.

Lesson 5 · Applications of chord and tangent theorems

• •Construct tangents to a circle from a point outside the circle.
• •Solve complex geometry problems combining chords, tangents, and radii properties.

Lesson 1 · Trigonometric ratios of angles (0-360)

• •Calculate sine and cosine values for angles between 0 and 360 degrees.
• •Identify the quadrants where sine and cosine are positive or negative.

Lesson 2 · Graphing the sine function

• •Construct a table of values for sine and cosine functions.
• •Plot the graph of y = sin x for a given range.

Lesson 3 · Graphing the cosine function

• •Construct a table of values for the cosine function.
• •Plot the graph of y = cos x on a Cartesian plane.

Lesson 4 · Interpreting sine and cosine graphs

• •Identify the period, amplitude, and maximum/minimum values from graphs.
• •Compare the features of sine and cosine graphs on the same axis.

Lesson 5 · Graphical solution of trigonometric equations

• •Solve trigonometric equations using the plotted graphs.
• •Apply sine and cosine graphs to solve local wave or periodic problems.

Lesson 1 · Notation and conversion of bearings

• •Explain the concept of three-figure bearings and cardinal points.
• •Convert cardinal directions to three-figure bearings and vice-versa.

Lesson 2 · Sketching bearings and back bearings

• •Sketch diagrams representing movement between two or more points.
• •Calculate the back bearing of a given direction accurately.

Lesson 3 · Applying Sine and Cosine rules to bearings

• •Solve distance and bearing problems using the sine rule.
• •Apply the cosine rule to calculate distances between two points.

Lesson 4 · Complex bearings and distance problems

• •Solve problems involving angles of elevation and depression with bearings.
• •Calculate the total displacement of a journey involving multiple bearings.

Lesson 5 · Practical applications of bearings

• •Apply bearings to solve local navigation problems involving Nigerian towns.
• •Evaluate the shortest distance between two points using trigonometric methods.

Lesson 1 · Mean, Median, and Mode of ungrouped data

• •Calculate the mean, median, and mode for ungrouped data sets.
• •Identify the modal class and median class in grouped frequency tables.

Lesson 2 · Mean of grouped frequency data

• •Construct a frequency distribution table for grouped data.
• •Calculate the mean of grouped data using the midpoint method.

Lesson 3 · Assumed mean method for grouped data

• •Calculate the mean of grouped data using an assumed mean.
• •Evaluate the efficiency of using an assumed mean in large data sets.

Lesson 4 · Median estimation from Ogive curves

• •Estimate the median from a cumulative frequency curve (Ogive).
• •Describe the steps for constructing an Ogive for grouped data.

Lesson 5 · Mode estimation from Histograms

• •Estimate the mode of grouped data using a histogram.
• •Compare the three measures of central tendency for a given data set.

Lesson 1 · Range and Mean Deviation

• •Calculate the range and mean deviation for a set of data.
• •Explain the importance of measuring the spread of data.

Lesson 2 · Variance and Standard Deviation calculation

• •Calculate the variance of ungrouped and grouped data sets.
• •Demonstrate the steps to compute standard deviation from variance.

Lesson 3 · Quartiles and Interquartile Range

• •Calculate the semi-interquartile range and deciles for grouped data.
• •Identify the first and third quartiles from a cumulative frequency table.

Lesson 4 · Visualizing dispersion with Box Plots

• •Construct a Box-and-Whisker plot to visualize data dispersion.
• •Interpret data distribution using the range of a Box-and-Whisker plot.

Lesson 5 · Comparing data using measures of dispersion

• •Compare the standard deviations of two different data sets.
• •Evaluate the consistency of a data set based on its standard deviation.

Lesson 1 · Basic concepts of probability

• •Identify the sample space and outcomes of a random experiment.
• •Calculate the theoretical probability of a simple event occurring.

Lesson 2 · Addition law for mutually exclusive events

• •Apply addition law to solve problems involving mutually exclusive events.
• •Identify mutually exclusive events in real-life Nigerian scenarios.

Lesson 3 · Multiplication law for independent events

• •Apply multiplication law to solve problems involving independent events.
• •Calculate the probability of two independent events occurring together.

Lesson 4 · Tree diagrams and outcome analysis

• •Construct a tree diagram to represent multiple stages of an experiment.
• •Solve complex probability problems using tree diagram outcomes.

Lesson 5 · Selection with and without replacement

• •Solve probability problems involving selection with and without replacement.
• •Apply probability to predict outcomes in games of chance and weather.