About Course
The final-year JHS maths course for Ghanaian BECE candidates. Across 13 units and 149 short lessons, students master surds, financial maths, simultaneous equations, change of subject, constructions, vectors, enlargement, statistics and probability.
Each topic starts with a quick review of earlier work, then builds step by step to the harder questions BECE candidates face. Real-life problems on interest, tax, discounts, data and measurement show how maths is used every day.
By the end of the course, students will have revised every key area of JHS maths and be ready to sit the BECE with confidence.
What Will You Learn?
- Use standard form, significant figures and three-set Venn diagrams
- Simplify, add, multiply and rationalise surds
- Solve problems on interest, tax, discount, commission, depreciation and insurance
- Solve simultaneous equations using graphs
- Substitute into formulae, change the subject and factorise expressions
- Solve linear equations and inequalities, and apply them to real-life problems
- Find angles in polygons, and use similar and congruent triangles
- Construct incircles, circumcircles and quadrilaterals, and find surface area
- Work with bearings, vectors and enlargement
- Analyse data with histograms and averages, and solve dependent probability problems
Course Content
Unit 1: Place Value, Standard Form and Number Sets
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Lesson 1: Rounding Integers to Significant Figures
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Lesson 2: Rounding Decimals to Decimal Places
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Lesson 3: Significant Figures and Decimal Places in Real-Life Problems
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Lesson 4: Standard Form and Ordinary Form
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Lesson 5: Calculations and Word Problems in Standard Form
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Lesson 6: Reviewing the Real Number System
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Lesson 7: Set Notation, Subsets and Universal Sets
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Lesson 8: Union and Intersection of Two Sets
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Lesson 9: Three-Set Venn Diagrams
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Lesson 10: Solving Real-Life Problems with Sets
Unit 2: Mental Mathematics, Properties and Decimal Operations
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Lesson 1: Multiplying and Dividing by Powers of Ten
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Lesson 2: Benchmark Fractions, Decimals and Percentages
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Lesson 3: Commutative, Associative and Distributive Properties
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Lesson 4: Multi-Step Operations with Whole Numbers and Decimals
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Lesson 5: Decimal Word Problems
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Lesson 6: Estimation and Checking Answers
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Lesson 7: Rounding Answers to Required Accuracy
Unit 3: Surds and Irrational Numbers
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Lesson 1: Perfect Squares and Square Roots
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Lesson 2: Understanding Irrational Numbers and Surds
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Lesson 3: Simple and Compound Surds
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Lesson 4: Rules and Properties of Surds
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Lesson 5: Simplifying Surds
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Lesson 6: Adding and Subtracting Like Surds
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Lesson 7: Multiplying and Dividing Surds
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Lesson 8: Rationalising Simple Denominators
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Lesson 9: Approximating Non-Perfect Square Roots
Unit 4: Fractions and Order of Operations
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Lesson 1: Reviewing Equivalent and Simplified Fractions
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Lesson 2: Mixed Numbers and Improper Fractions
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Lesson 3: Adding and Subtracting Fractions
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Lesson 4: Multiplying and Dividing Fractions
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Lesson 5: BODMAS/PEMDAS with Whole Numbers
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Lesson 6: BODMAS/PEMDAS with Fractions
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Lesson 7: Multi-Step Fraction Expressions
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Lesson 8: Fraction, Decimal and Percentage Word Problems
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Lesson 9: Fractions in Measurement, Area and Perimeter
Unit 5: Ratio, Proportion and Financial Mathematics
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Lesson 1: Reviewing Ratios, Rates and Proportions
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Lesson 2: Writing Proportional Relationships as Equations
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Lesson 3: Direct Proportion and Constant of Proportionality
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Lesson 4: Multi-Step Ratio and Percentage Problems
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Lesson 5: Simple Interest
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Lesson 6: Taxes and Tax-Inclusive Prices
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Lesson 7: Discounts and Reverse Percentages
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Lesson 8: Commission
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Lesson 9: Depreciation
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Lesson 10: Insurance and Premiums
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Lesson 11: Mixed Financial Mathematics Problems
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Lesson 12: Graphing Proportional Relationships
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Lesson 13: Unit Rate as the Slope of a Graph
Unit 6: Linear Relations and Simultaneous Equations
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Lesson 1: Reviewing Linear Relations
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Lesson 2: Constructing Tables of Values
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Lesson 3: Plotting Linear Relations
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Lesson 4: Reading Coordinates and Missing Values from Graphs
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Lesson 5: Comparing Two Linear Graphs
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Lesson 6: Understanding the Point of Intersection
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Lesson 7: Solving Simultaneous Equations Graphically
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Lesson 8: Parallel Lines and Equations with No Common Solution
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Lesson 9: Real-Life Problems Involving Simultaneous Equations
Unit 7: Formulae, Substitution and Factorisation
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Lesson 1: Understanding Formulae and Variables
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Lesson 2: Substituting Values into Formulae
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Lesson 3: Evaluating Multi-Step Formulae
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Lesson 4: Introducing Change of Subject
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Lesson 5: Changing the Subject of Simple Formulae
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Lesson 6: Changing the Subject of More Complex Formulae
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Lesson 7: Formulae in Area, Volume, Speed and Finance
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Lesson 8: Reviewing Common Factors
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Lesson 9: Factorising Algebraic Expressions
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Lesson 10: Factorising Expressions with Negative Terms
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Lesson 11: Simplifying and Factorising Real-Life Expressions
Unit 8: Linear Equations and Inequalities
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Lesson 1: Reviewing Linear Equations
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Lesson 2: Forming Equations from Word Problems
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Lesson 3: Solving Equations with Rational Coefficients
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Lesson 4: Understanding Inequality Symbols
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Lesson 5: Solving One-Step Linear Inequalities
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Lesson 6: Solving Multi-Step Linear Inequalities
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Lesson 7: Reversing the Inequality Sign
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Lesson 8: Representing Solutions on a Number Line
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Lesson 9: Comparing Equations and Inequalities
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Lesson 10: Real-Life Problems Involving Equations
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Lesson 11: Real-Life Problems Involving Inequalities
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Lesson 12: Triangle Inequalities and Other Applications
Unit 9: Polygons, Similarity and Congruence
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Lesson 1: Reviewing Angle Relationships
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Lesson 2: Naming and Classifying Polygons
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Lesson 3: Deriving the Interior-Angle Sum Formula
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Lesson 4: Finding the Sum of Interior Angles
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Lesson 5: Finding Missing Angles in Polygons
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Lesson 6: Exterior Angles of Polygons
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Lesson 7: Understanding Similar Triangles
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Lesson 8: Solving Problems with Similar Triangles
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Lesson 9: Understanding Congruent Triangles
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Lesson 10: Solving Problems with Congruent Triangles
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Lesson 11: Distinguishing Similarity from Congruence
Unit 10: Geometric Constructions and Surface Area
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Lesson 1: Reviewing Bisectors and Construction Techniques
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Lesson 2: Constructing the Incircle of a Triangle
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Lesson 3: Locating the Incentre
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Lesson 4: Constructing the Circumcircle of a Triangle
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Lesson 5: Locating the Circumcentre
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Lesson 6: Constructing Squares
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Lesson 7: Constructing Rectangles
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Lesson 8: Constructing Rhombuses and Parallelograms
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Lesson 9: Constructing Compound Plane Shapes
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Lesson 10: Nets of Cuboids
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Lesson 11: Surface Area of Cuboids
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Lesson 12: Nets of Triangular Prisms
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Lesson 13: Surface Area of Triangular Prisms
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Lesson 14: Practical Surface-Area Problems
Unit 11: Bearings, Vectors and Enlargement
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Lesson 1: Reviewing Three-Figure Bearings
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Lesson 2: Bearings from Scale Drawings
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Lesson 3: Multi-Step Bearing Problems
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Lesson 4: Position Vectors on the Cartesian Plane
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Lesson 5: Finding Vectors Between Two Points
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Lesson 6: Parallel Vectors
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Lesson 7: Perpendicular Vectors
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Lesson 8: Triangle Law of Vector Addition
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Lesson 9: Parallelogram Law of Vector Addition
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Lesson 11: Using Vectors in Coordinate Geometry
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Lesson 12: Understanding Enlargement
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Lesson 13: Finding the Centre and Scale Factor of Enlargement
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Lesson 14: Enlargement with Scale Factor Greater Than 1
Unit 12: Data Collection, Representation and Statistics
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Lesson 1: Quantitative and Qualitative Data Review
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Lesson 2: Selecting and Justifying Data-Collection Methods
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Lesson 3: Population, Sample and Sampling Methods
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Lesson 4: Biased and Unbiased Questions
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Lesson 5: Ethics, Privacy and Cultural Sensitivity in Surveys
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Lesson 6: Organising Grouped and Ungrouped Data
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Lesson 7: Frequency Tables and Class Intervals
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Lesson 8: Bar Graphs, Line Graphs, Pie Charts and Pictographs
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Lesson 9: Infographics and Waffle Diagrams
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Lesson 10: Stem-and-Leaf Plots
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Lesson 11: Box-and-Whisker Plots
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Lesson 12: Constructing and Interpreting Histograms
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Lesson 13: Finding the Modal Class from a Histogram
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Lesson 14: Minimum, Maximum and Range
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Lesson 15: Mean, Median and Mode
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Lesson 16: Choosing an Appropriate Average
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Lesson 17: Effects of Extreme Values
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Lesson 18: Analysing Data and Drawing Conclusions
Unit 13: Dependent Events and Probability
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Lesson 1: Reviewing Sample Spaces and Combined Events
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Lesson 2: Understanding Dependent Events
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Lesson 3: Experiments Without Replacement
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Lesson 4: Updating Probabilities After Each Selection
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Lesson 5: Tree Diagrams for Dependent Events
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Lesson 6: Calculating Probabilities Along Tree Branches
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Lesson 7: Combining Alternative Probability Routes
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Lesson 8: Drawing Counters Without Replacement
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Lesson 9: Card-Selection Problems
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Lesson 10: Expressing Probability as Fractions
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Lesson 11: Expressing Probability as Decimals and Percentages
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Lesson 12: Expressing Probability as Ratios
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Lesson 13: Multi-Step Dependent Probability Problems
