Â
What Will You Learn?
- Work confidently with numbers, fractions, decimals, percentages and approximations.
- Simplify algebraic expressions and solve equations and inequalities.
- Apply ratio, proportion, rates and financial mathematics to practical problems.
- Investigate shapes, angles, constructions, transformations and coordinate geometry.
- Calculate lengths, areas, volumes and other measurements using suitable formulas.
- Organise and interpret data, calculate averages and solve probability problems.
Course Content
Unit 1: Place Value, Standard Form and Number Sets
-
Lesson 1: Rounding Integers to Significant Figures
-
Lesson 2: Rounding Decimals to Decimal Places
-
3.Significant Figures and Decimal Places in Real-Life Problems
-
Lesson 4: Standard Form and Ordinary Form
-
Lesson 5: Calculations and Word Problems in Standard Form
-
Lesson 6: Reviewing the Real Number System
-
Lesson 7: Set Notation, Subsets and Universal Sets
-
Lesson 8: Union and Intersection of Two Sets
-
Lesson 9: Three-Set Venn Diagrams
-
Lesson 10: Solving Real-Life Problems with Sets
Unit 2: Mental Mathematics, Properties and Decimal Operations
-
Lesson 1: Multiplying and Dividing by Powers of Ten
-
Lesson 2: Benchmark Fractions, Decimals and Percentages
-
Lesson 3: Commutative, Associative and Distributive Properties
-
Lesson 4: Multi-Step Operations with Whole Numbers and Decimals
-
Lesson 5: Decimal Word Problems
-
Lesson 6: Estimation and Checking Answers
-
Lesson 7: Rounding Answers to Required Accuracy
Unit 3: Surds and Irrational Numbers
-
Lesson 1: Perfect Squares and Square Roots
-
Lesson 2: Understanding Irrational Numbers and Surds
-
Lesson 3: Simple and Compound Surds
-
Lesson 4: Rules and Properties of Surds
-
Lesson 5: Simplifying Surds
-
Lesson 6: Adding and Subtracting Like Surds
-
Lesson 7: Multiplying and Dividing Surds
-
Lesson 8: Rationalising Simple Denominators
-
Lesson 9: Approximating Non-Perfect Square Roots
Unit 4: Fractions and Order of Operations
-
Lesson 1: Reviewing Equivalent and Simplified Fractions
-
Lesson 2: Mixed Numbers and Improper Fractions
-
Lesson 3: Adding and Subtracting Fractions
-
Lesson 4: Multiplying and Dividing Fractions
-
Lesson 5: BODMAS/PEMDAS with Whole Numbers
-
6.BODMAS/PEMDAS with Fractions
-
Lesson 7: Multi-Step Fraction Expressions
-
Lesson 8: Fraction, Decimal and Percentage Word Problems
-
Lesson 9: Fractions in Measurement, Area and Perimeter
Unit 5: Ratio, Proportion and Financial Mathematics
-
Lesson 1: Reviewing Ratios, Rates and Proportions
-
Lesson 2: Writing Proportional Relationships as Equations
-
Lesson 3: Direct Proportion and Constant of Proportionality
-
Lesson 4: Multi-Step Ratio and Percentage Problems
-
Lesson 5: Simple Interest
-
Lesson 6: Taxes and Tax-Inclusive Prices
-
Lesson 7: Discounts and Reverse Percentages
-
Lesson 8: Commission
-
Lesson 9: Depreciation
-
Lesson 10: Insurance and Premiums
-
Lesson 11: Mixed Financial Mathematics Problems
-
Lesson 12: Graphing Proportional Relationships
-
Lesson 13: Unit Rate as the Slope of a Graph
Unit 6: Linear Relations and Simultaneous Equations
-
Lesson 1: Reviewing Linear Relations
-
Lesson 2: Constructing Tables of Values
-
Lesson 3: Plotting Linear Relations
-
4.Reading Coordinates and Missing Values from Graphs
-
Lesson 5: Comparing Two Linear Graphs
-
Lesson 6: Understanding the Point of Intersection
-
Lesson 7: Solving Simultaneous Equations Graphically
-
Lesson 8: Parallel Lines and Equations with No Common Solution
-
Lesson 9: Real-Life Problems Involving Simultaneous Equations
Unit 7: Formulae, Substitution and Factorisation
-
Lesson 1: Understanding Formulae and Variables
-
Lesson 2: Substituting Values into Formulae
-
Lesson 3: Evaluating Multi-Step Formulae
-
Lesson 4: Introducing Change of Subject
-
Lesson 5: Changing the Subject of Simple Formulae
-
Lesson 6: Changing the Subject of More Complex Formulae
-
Lesson 7: Formulae in Area, Volume, Speed and Finance
-
Lesson 8: Reviewing Common Factors
-
Lesson 9: Factorising Algebraic Expressions
-
Lesson 10: Factorising Expressions with Negative Terms
-
Lesson 11: Simplifying and Factorising Real-Life Expressions
Unit 8: Linear Equations and Inequalities.
-
Lesson 1: Reviewing Linear Equations
-
Lesson 2: Forming Equations from Word Problems
-
Lesson 3: Solving Equations with Rational Coefficients
-
Lesson 4: Understanding Inequality Symbols
-
Lesson 5: Solving One-Step Linear Inequalities
-
Lesson 6: Solving Multi-Step Linear Inequalities
-
Lesson 7: Reversing the Inequality Sign
-
Lesson 8: Representing Solutions on a Number Line
-
Lesson 9: Comparing Equations and Inequalities
-
Lesson 10: Real-Life Problems Involving Equations
-
Lesson 11: Real-Life Problems Involving Inequalities
-
Lesson 12: Triangle Inequalities and Other Applications
Unit 9: Polygons, Similarity and Congruence
-
Lesson 1: Reviewing Angle Relationships
-
Lesson 2: Naming and Classifying Polygons
-
Lesson 3: Deriving the Interior-Angle Sum Formula
-
Lesson 4: Finding the Sum of Interior Angles
-
Lesson 5: Finding Missing Angles in Polygons
-
Lesson 6: Exterior Angles of Polygons
-
Lesson 7: Understanding Similar Triangles
-
Lesson 8: Solving Problems with Similar Triangles
-
Lesson 9: Understanding Congruent Triangles
-
Lesson 10: Solving Problems with Congruent Triangles
-
Lesson 11: Distinguishing Similarity from Congruence
Unit 10: Geometric Constructions and Surface Area.
-
Lesson 1: Reviewing Bisectors and Construction Techniques
-
Lesson 2: Constructing the Incircle of a Triangle
-
Lesson 3: Locating the Incentre
-
Lesson 4: Constructing the Circumcircle of a Triangle
-
Lesson 5: Locating the Circumcentre
-
Lesson 6: Constructing Squares
-
Lesson 7: Constructing Rectangles
-
Lesson 8: Constructing Rhombuses and Parallelograms
-
Lesson 9: Constructing Compound Plane Shapes
-
Lesson 10: Nets of Cuboids
-
Lesson 11: Surface Area of Cuboids
-
Lesson 12: Nets of Triangular Prisms
-
Lesson 13: Surface Area of Triangular Prisms
-
Lesson 14: Practical Surface-Area Problems
Unit 11: Bearings, Vectors and Enlargement
-
Lesson 1: Reviewing Three-Figure Bearings
-
2.Bearings from Scale Drawings
-
Lesson 3: Multi-Step Bearing Problems
-
Lesson 4: Position Vectors on the Cartesian Plane
-
Lesson 5: Finding Vectors Between Two Points
-
Lesson 6: Parallel Vectors
-
Lesson 7: Perpendicular Vectors
-
Lesson 8: Triangle Law of Vector Addition
-
Lesson 9: Parallelogram Law of Vector Addition
-
Lesson 11: Using Vectors in Coordinate Geometry
-
Lesson 12: Understanding Enlargement
-
Lesson 13: Finding the Centre and Scale Factor of Enlargement
-
Lesson 14: Enlargement with Scale Factor Greater Than 1
Unit 12: Data Collection, Representation and Statistics
-
Lesson 1: Quantitative and Qualitative Data Review
-
Lesson 2: Selecting and Justifying Data-Collection Methods
-
Lesson 3: Population, Sample and Sampling Methods
-
Lesson 4: Biased and Unbiased Questions
-
Lesson 5: Ethics, Privacy and Cultural Sensitivity in Surveys
-
Lesson 6: Organising Grouped and Ungrouped Data
-
Lesson 7: Frequency Tables and Class Intervals
-
Lesson 8: Bar Graphs, Line Graphs, Pie Charts and Pictographs
-
Lesson 9: Infographics and Waffle Diagrams
-
Lesson 10: Stem-and-Leaf Plots
-
Lesson 11: Box-and-Whisker Plots
-
Lesson 12: Constructing and Interpreting Histograms
-
Lesson 13: Finding the Modal Class from a Histogram
-
Lesson 14: Minimum, Maximum and Range
-
Lesson 15: Mean, Median and Mode
-
Lesson 16: Choosing an Appropriate Average
-
Lesson 17: Effects of Extreme Values
-
Lesson 18: Analysing Data and Drawing Conclusions
Unit 13: Dependent Events and Probability
-
Lesson 1: Reviewing Sample Spaces and Combined Events
-
Lesson 2: Understanding Dependent Events
-
Lesson 3: Experiments Without Replacement
-
Lesson 4: Updating Probabilities After Each Selection
-
Lesson 5: Tree Diagrams for Dependent Events
-
Lesson 6: Calculating Probabilities Along Tree Branches
-
Lesson 7: Combining Alternative Probability Routes
-
Lesson 8: Drawing Counters Without Replacement
-
Lesson 9: Card-Selection Problems
-
Lesson 10: Expressing Probability as Fractions
-
Lesson 11: Expressing Probability as Decimals and Percentages
-
Lesson 12: Expressing Probability as Ratios
-
Lesson 13: Multi-Step Dependent Probability Problems
