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Year 11 and 12 General Lessons
Number Review
Basic Arithmetic & Calculator
1. Using The Calculator
2. Rounding Off Decimals
3. Scientific Notation: Convert To
4. Scientific Notation: Write As A Number
5. Significant Figures
6. Scientific Notation: Using A Calculator

Percentages
1. Percentages As Fractions & Decimals
2. Fractions & Decimals As Percentages
3. Percentages & Quantities
4. Percentage Increase & Decrease
5. Percentage Summary

Ratio & Rates
1. Dividing Quantities In A Given Ratio
2. Simplifying Rates
3. Calculating Distance
4. Calculating Time
5. Calculating Speed
6. Converting Rates
7. Problem Solving Using Rates
8. Direct Variation

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Financial Mathematics
Earning Money
1. Wages & Salaries
2. Commission & Piecework
3. Overtime
4. Holiday Loadings
5. Budgeting
6. Taxation

Spending Money
1. Best Buys
2. Buying On Terms
3. Discounts
4. Calculating GST and VAT

Investing Money
1. Simple Interest
2. Compound Interest
3. Present-Value & Future-Value
4. Loans & Interest
5. Shares

Inflation & Depreciation
1. Inflation
2. Depreciation Methods
3. Reducing-Balance Loans

Annuities & Insurance
1. Term Deposits & Credit Cards
2. Insurance Premiums
3. Interpreting Graphs
4. Annuities: Future-Value
5. Annuities: Present-Value

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Data Analysis, Probability

Collection & Sampling
1. Data Types
2. Sampling Techniques
3. Estimating Populations

Summary Statistics
1. Range & Mode
2. Median
3. Mean
4. Frequency Distribution Tables
5. Finding The Mean From A Table
6. Finding The Median From A Table

Displaying Data
1. Divided Bar Graphs
2. Column Graphs
3. Line Graphs
4. Sector Graphs
5. Frequency Histograms & Polygons
6. Cumulative Frequency Graphs
7. Cumulative Frequency Graphs: Median & Quartiles
8. Radar Charts
9. Stem & Leaf Plots I
10. Stem & Leaf Plots II
11. Box & Whisker Plots

Probability I
1. Probability Basics
2. Experimental Probability
3. Making A List

Data Analysis
1. Standard Deviation
2. Z-Scores: Calculating & Scaling
3. Z-Scores: Comparing Data

Probability II
1. Tree Diagrams
2. Product & Addition Rules
3. Probability Trees
4. Ordered Selections
5. Unordered Selections
6. Expected Outcomes & Financial Expectation
7. Two-Way Tables

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Measurement

Units Of Measure
1. Length: Conversions I
2. Length: Conversions II
3. Time Conversions
4. Time Differences
5. 24 Hour Time
6. Mass
7. Error In Measurement
8. Working With Square & Cubic Units

Pythagoras Theorem
1. Finding The Hypotenuse
2. Finding A Shorter Side
3. Composite Shapes: Hypotenuse
4. Composite Shapes: Shorter Side
5. Problem Questions

Perimeter & Circumference
1. Perimeter
2. Circumference
3. Perimeter Of A Sector

Shapes & Similarity
1. Solid Shapes
2. Nets Of Solid Shapes
3. Perspective Drawing
4. Similar Figures I
5. Similar Figures II
6. Using Scale

Area & Volume I
1. Area Of Rectangles & Squares
2. Area Of Triangles
3. Area Of Parallelograms
4. Area Of Rhombus & Kites
5. Area Of Trapeziums
6. Area Of A Circle
7. Volume Of Prisms
8. Capacity

Right-Angled Trigonometry
1. The Trigonometric Ratios
2. Finding A Side I
3. Finding A Side II
4. Finding A Side III
5. Finding An Angle
6. Degrees And Minutes I
7. Degrees And Minutes II

Area & Volume II
1. Area of Composite Shapes
2. Further Area Of Composite Shapes
3. Area Of A Sector
4. Area Of Annulus & Ellipse
5. Volume Of A Pyramid
6. Volume Of A Cylinder
7. Volume Of A Cone
8. Volume Of A Sphere
9. Volume Of Composite Prisms

Applied Measurement I
1. Traverse Surveys
2. Calculating Areas
3. Calculating Boundary Lengths
4. Simpsons Rule
5. Angles Of Elevation & Depression
6. Compass Bearings
7. Three-Figure Bearings
8. Compass Questions: Distances
9. Compass Questions: Bearings

Surface Area
1. Surface Area: Cubes & Rectangular Prisms
2. Surface Area: Triangular Prisms
3. Surface Area: Cylinders
4. Surface Area: Pyramids
5. Surface Area: Spheres

Further Trigonometry
1. The Sine Rule: Finding A Side
2. The Sine Rule: Finding An Angle
3. The Cosine Rule: Finding A Side
4. The Cosine Rule: Finding An Angle I
5. The Cosine Rule: Finding An Angle II
6. Area Of A Triangle I
7. Area Of A Triangle II
8. Three-Dimensional Problems I
9. Three-Dimensional Problems II
10. Bearings And Angles I
11. Bearings And Angles II
12. Compass Questions & Non-Right Triangles

Applied Measurement II
1. Compass Radial Surveys
2. Scale Drawings
3. World Time Differences
4. Distance On Earths Surface

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Algebra

Basic Algebraic Skills
1. Algebraic Expressions: Addition/Subtraction
2. Algebraic Expressions: Multiplication
3. Algebraic Expressions: Division
4. Substitution
5. Grouping Symbols I
6. Grouping Symbols II
7. Modelling: Generalised Arithmetic I
8. Modelling: Generalised Arithmetic II

Equations
1. Two-Step Equations
2. Pronumeral On Both Sides
3. Equations With Brackets I
4. Equations With Brackets II
5. Equations With Brackets III
6. Equations Involving Fractions I
7. Equations Involving Fractions II
8. Equations Involving Fractions III
9. Equations Involving Substitution
10. Equations With Squares & Cubes
11. Solving Problems Using Equations

Linear Modelling
1. Using Tables To Graph Lines
2. Graphing Straight Lines Using X & Y Intercepts
3. Gradient
4. The Equation Of A Straight Line
5. Finding The Equation Given The Diagram
6. Step Graphs
7. Travel Graphs
8. Lines of Best Fit: By Eye
9. Linear Modelling
10. Lines of Best Fit: Three-Median Method

Algebraic Modelling
1. Changing The Subject I
2. Changing The Subject II
3. Direct Variation
4. Inverse Variation
5. Factorisation By A Common Factor
6. Equation Of A Line: Using A Point And Gradient
7. Equation Of A Line Using Two Points
8. Testing Points On A Line
9. Break-Even Analysis
10. Sketching Parabolas
11. Hyperbola, Cubic & Exponential Graphs
12. Using Quadratic Graphs

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