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Third Year - Higher Level
Term 1 Content
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Algebra:
- Revision of basic algebra
- Solving linear equations
- Algebraic division
- Adding algebraic fractions
- Linear inequalities
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| 2.
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Factors:
- Revision of highest common factor
- Factorising quadratic expressions
- Difference of two squares
- Factorising by grouping terms
- Using factors to simplify algebraic fractions
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| 3.
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Formulae - Simultaneous Equations
- Rearrangement pf formulae
- 2 x 2 Simultaneous Equations
- Problems leading to simultaneous equations
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| 4.
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Quadratic Equations
- Solving quadratic equations using factors
- Related quadratic equations
- Solving quadratic equations involving fractions
- Using the quadratic formula
- Problems leading to quadratic equations
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| 5.
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Coordinate Geometry
- Revision of formulae
- Image of a point under different transformations
- Slope of a line
- Equation of a line
- Sketching lines - intersecting lines
- Finding the image of a line
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| 6.
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Numbers - Calculator Use
- Rules for indices
- Equations involving indices
- Irrational numbers - surds
- Equations involving surds
- Scientific notation
- Approximation - Significant figures
- Use of calculator for square roots and reciprocals
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Term 2 Content
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Sets
- Revision of set terminology
- Problems involving three sets
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| 2.
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Statistics
- Revision of terms and diagrams
- Frequency distributions
- Histograms
- Cumulative Frequency
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| 3.
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Interest and Arithmetic
- Compound interest
- Percentages - Profit and loss - Income tax
- Ratio - speed, distance and time
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| 4.
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Functions and Graphs
- Functions
- Graphing linear functions
- Graphs of quadratic functions
- Interpreting graphs - problems
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| 5.
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Area and Volume
- Revision of area and perimeter
- Cylinders and spheres
- The cone
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Term 3 Content
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Geometry
- Revision of angles and triangles
- Parallelogram theorems
- Constructions
- Axial symmetry - Central symmetry
- Translations - Rotations
- Circle theorems
- Line parallel to the side of a triangle
- Similar triangles
- Theorem of Pythagoras
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| 2.
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Trigonometry
- Revision of sine, cosine and tangent ratios
- Using a calculator to find ratios
- Solving right-angles triangles
- The angles 30°, 45° and 60°
- Angles greater than 90°
- Ratios of angles between 90° and 360°
- The Sine Rule
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Third Year - Ordinary Level
Term 1 Content
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Algebra
- Plotting Numbers on the Number Line
- Solving Inequalities
- Adding Algebraic Fractions
- Equations with Fractions
- Solving Problems Involving Fractions
- Multiplying and Dividing Algebraic Fractions
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| 2.
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Ratio and Proportion
- Ratio
- Dividing in a Given Ratio
- Direct Proportion
- Inverse Proportion
- Foreign Currency
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| 3.
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Quadratic and Simultaneous Equations
- Quadratic Equations
- How to Solve a Quadratic Equation
- Problems Leading to Quadratic Equations
- Simultaneous Equations
- Problems leading to Simultaneous Equations
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| 4.
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Functions - Graphing Lines
- Couples, Functions
- Plotting Points in the Plane
- Graphing Straight Lines
- Lines Parallel to the Axes
- Intersecting Lines
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| 5.
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Transformation Geometry
- Symmetrical Shapes
- Axial Symmetry
- Central Symmetry
- Translations
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Term 2 Content
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Coordinate Geometry
- Distance Between Two Points
- Midpoint of a Line Segment
- Images of Points under Transformations
- Slope of a Line
- Equation of a Line
- Points on a Line - Sketching Lines
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| 2.
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Indices - Scientific Notation - Calculator Use
- Indices - Rules
- Scientific Notation
- Square Roots and Reciprocals
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| 3.
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Circle - Cylinder - Sphere
- Circumference of a Circle
- Area of a Circle
- The Cylinder - Surface Area and Volume
- The Sphere - Surface Area and Volume
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| 4.
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Graphs of Quadratic Functions
- Graphing Quadratic Functions
- Interpreting Graphs of Quadratic Functions
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Term 3 Content
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Trigonometry
- The Right-Angled Triangle
- Sides of a Right-Angled Triangle
- Sine, Cosine and Tangent Ratios
- Using a calculator to find sin, cos or tan of any angle
- Finding sides and Angles of a Triangle
- Angles of Elevation and Depression
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| 2.
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Parallelograms and Circles
- Quadrilaterals and Parallelograms
- Area of Triangle and Parallelogram
- Theorem of Pythagoras
- Angle in a Semicircle
- Geometrical Constructions
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