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Year 10 Mathematics   B Stream   5.1/5.2

Financial Mathematics

• 1 Percentages to Decimals

• 2 Percentages to Fractions

• 3 Percentage of a Quantity

• 4 Using Percentages to Compare

• 5 Percentage Increase and Decrease

• 6 Profits and Discounts

• 7 Income: Wages and Salaries

• 8 Income: Piecework, Fees, Commissions

• 9 Income: Leave Loading

• 10 Income: Gross Income and Net Income

• 11 The PAYG Income Tax System

• 12 Simple Interest

• 13 Applications of Simple Interest

• 14 Compound Interest

• 15 Depreciation

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Measurement

  Length and Area

• 1 Units of Length 

• 2 Perimeter

• 3 Circumference of a Circle

• 4 Perimeter of a Sector

• 5 Units of Area

• 6 Area of Squares & Rectangles

• 7 Area of a Triangle

• 8 Area of a Parallelogram

• 9 Area of a Rhombus

• 10 Area of a Trapezium

• 11 Area of a Kite

• 12 Area of a Circle

• 13 Area of Composite Figures

  Surface Area

• 14 Surface Area of a Cube

• 15 Surface Area of a Rectangular Prism

• 16 Surface Area of a Triangular Prism

• 17 Surface Area of a Cylinder

 

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  Volume

• 18 Units of Volume

• 19 Volume of a Prism

• 20 Volume of a Cylinder

• 21 Capacity of a Cylinder

 

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Algebraic Expressions and Indices

  Algebraic Expressions

• 1 Algebra Terms

• 2 Adding & Subtracting Algebra Terms

• 3 Multiplying Algebra Terms

• 4 Dividing Algebra Terms

• 5 Algebra Using Substitution

• 6 Expanding Algebra Expressions

• 7 Factorising Algebra Expressions

• 8 Simplifying Algebraic Fractions Multiplication & Division 10B version

• 9 Simplifying Algebraic Fractions Addition & Subtraction 10B version

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   Index Laws

• 1 Index Notation

• 2 Multiplying Indices

• 3 Dividing Indices

• 4 Power Indices

• 5 The Zero Index

• 6 Scientific Notation

• 7 Significant Figures

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Single Variable and Bivariate Statistics

• 1 Collecting and Presenting Data

• 2 Frequency Distribution Tables: Individual Data

• 3 Frequency Distribution Tables: Grouped Data

• 4 Frequency Histograms

• 5 Dot Plots

• 6 Stem-and-Leaf Plots

• 7 Measures of Location: Mean

• 8 Finding the Mean on a Calculator

• 9 Finding the Mean From a Frequency Distribution Table

• 10 Measures of Location: Median

• 11 Finding the Median From a Frequency Distribution Table

• 12 Measures of Spread: Range

• 13 Measures of Spread: Interquartile Range

• 14 Box Plots

• 15 Cumulative Frequency Histograms

• 16 Finding Median From a Cumulative Frequency Histogram

• 17 Comparing Data Sets Using Plots

• 18 Measures of Spread: Standard Deviation

• 19 Finding the Standard Deviation on a Calculator

• 20 Outliers

 

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Linear Relationships
Properties of Geometrical Figures

• 1 Distance Between Two Points

• 2 Midpoint Between Two Points

• 3 Gradient of a Line Between Two Points

• 4 Graphing Lines

• 5 Introducing y=mx+b

• 6 Sketching Lines Using y=mx+b 

• 7 Sketching Lines Using X & Y Intercepts 

• 8 Horizontal & Vertical Lines

• 9 Parallel Lines

• 10 Points of Intersection

• 11 Finding Equations From Intercepts

• 12 Finding Equations From Tables of Values

 

 

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• 1 Angles in Geometry

• 2 Classifying Angles

• 3 Measuring Angles

• 4 Angles at a Point

• 5 Rules for Parallel Lines

• 6 Solving Geometry Problems

• 7 Convex & Non-Convex Polygons

• 8 Interior Angle Sum of a Polygon

• 9 Angle Size in Regular Polygons

• 10 Exterior Angle Sum of Polygons

• 11 Finding Unknown Angles in Polygons

• 12 Congruent Triangles

• 13 Tests for Congruent Triangles SSS

• 14 Tests for Congruent Triangles SAS

• 15 Tests for Congruent Triangles AAS

• 16 Tests for Congruent Triangles RHS

• 17 Similar Figures & Enlargement

• 18 Using Similarity to Solve Problems

• 19 Tests for Similar Triangles SSS

• 20 Tests for Similar Triangles SAS

• 21 Tests for Similar Triangles AAA

• 22 Tests for Similar Triangles RHS

• 23 Applying Similar Triangles

 

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Right-Angled Triangles

  Pythagoras

• 1 Pythagoras' Theorem

• 2 Finding the Hypotenuse

• 3 Finding a Shorter Side

• 4 Test for Right-Angled Triangles

• 5 Pythagorean Triads

• 6 Using Pythagoras to Solve Problems

  Trigonometry

• 1 Naming Sides

• 2 Trigonometry Ratios

• 3 Finding Sides

• 4 Finding Angles

• 5 Angles of Elevation & Depression

• 6 Using Trigonometry to Solve Problems

• 7 Bearings Basics

• 8 Solving Bearings Problems

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Equations, Formulas and Inequalities
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• 1 One Step Equations

• 2 Two Step Equations

• 3 Special Equation Variations

• 4 Equations With Letters on Both Sides

• 5 Fraction Equations

• 6 Checking Equation Solutions

• 7 Simultaneous Equations

• 8 Solving Inequations

 

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Time Management

  Time Management

• Time Management Video

• Excel Study Planner

 

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