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Mathematics Advanced Calculus Booklet - Year 11 - Preliminary
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Mathematics Advanced Calculus Booklet - Year 11 - Preliminary

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A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Continuity. * Limits. * The Gradient of a Curve. * The Gradient of a Curve using Secants. * The Derivative as a Limit * The Derivative Function. * Differentiating powers of x. * Tangents and Normals. * Further Differentiation – Chain Rule. * Differentiation and Index Laws. * Further Differentiation – Product Rule. * Further Differentiation – Quotient Rule. * Differentiation – Miscellaneous Examples. * Differentiability. * Rates of Change. * Rates of Change – Introduction to Motion
Mathematics Advanced Algebraic Techniques Booklet - Year 11 - Preliminary
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Mathematics Advanced Algebraic Techniques Booklet - Year 11 - Preliminary

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A complete topic workbook on the Year 11 Mathematics Advanced Algebraic Techniques topic. Content includes * Algebra: Review*. * Factorising: Review*. * Algebraic Fractions. * Equations: Review*. * Quadratic Equations. * Problems Involving Quadratic Equations. * Simultaneous Equations*. * Problem Solving & Simultaneous Equations*. * Worksheet – Simultaneous Equations*. * Basic Arithmetic*. * Recurring Decimals*. * Scientific Notation*. * Pythagoras’ Theorem and its Converse*. * Surds & Operations. * Surds - Rationalising The Denominator * Indices. * Worksheet : Indices. * Exponential Equations*. * Worksheet – Exponential Equations. * Extension - Sum and Difference of Two Cubes
Mathematics Advanced Working with Functions Booklet - Year 11 - Preliminary
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Mathematics Advanced Working with Functions Booklet - Year 11 - Preliminary

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A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Relations and Functions. * Function Notation. * Properties of a function. * Interval notation. * Linear graphs - review… * Parabolas in factored form… * Parabolas & completing the square. * Sketching parabolas using the quadratic formula and the discriminant * Applications of parabolas. * Lines and parabolas. * Cubic Graphs. * Polynomials - Definitions. * Polynomial Graphs. * Circles. * Semi-circles and semi-parabolas. * Asymptotic Graphs. * Direct variation. * Inverse variation. * Variation – Set work. * Types of Relations & Functions. * Graphing skills – Translations & Reflections. * Even and Odd Symmetry. * Absolute value. * Absolute value functions. * Composite functions.
Ratios & Scale Drawings - Topic Review - Mathematics Standard
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Ratios & Scale Drawings - Topic Review - Mathematics Standard

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Topic review on the Mathematics Standard topic of Ratio, Rates and Scale Drawings including past HSC questions Learning Intentions: §Dividing quantities in given ratios § Calculating the scale factor § Using scale factors to find unknown side lengths of similar figures § Using scale drawings, building plans and maps Success Criteria: §Solve problems involving ratios §Solve problems involving scale drawings and factors
Correlation Assignment
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Correlation Assignment

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A differentiated assignment for students in Year 10 focusing on the topic of correlation. Separate parts for students in 5.1, 5.2 and 5.3 Solutions are provided. Useful as an in class project
Probability - Topic Review - Mathematics Standard
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Probability - Topic Review - Mathematics Standard

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Topic revision for Mathematics Standard on Probability including past HSC questions Learning Intentions: §Review terminology used in probability §Construct tree diagrams §Use tree diagrams to find the probability of multistage events Success Criteria: §Understand the meaning of the terminology used in probability §Complete a tree diagram §Find the probability of a multistage event using a tree diagram (knowing when to multiply & when to add the probabilities).
Mathematics Advanced Trigonometry Booklet - Year 11 - Preliminary
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Mathematics Advanced Trigonometry Booklet - Year 11 - Preliminary

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A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Right-angled Trigonometry * Problems involving right-angled triangles * Angles of any Magnitude * Boundary angles * Quadrants, signs and related acute angle * The sine rule and the area formula * The sine rule and the ambiguous case * The Cosine Rule * Problems Involving general triangles * Three-dimensional trigonometry * Radian measure of angle size * Measurement for arcs and sectors * Trigonometric Graphs * Trigonometry graphs in radians * Review Exercise * Identities * Pythagorean Identities * Trigonometric Equations & Degrees * Trigonometric Equations & Radians
Mathematics Advanced Exponential & Logarithms Booklet - Year 11 - Preliminary
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Mathematics Advanced Exponential & Logarithms Booklet - Year 11 - Preliminary

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A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Review of Index Laws * Logarithms * The Laws for Logarithms * Change of Base Law * Exponential and Logarithmic graphs * Inverse relationship between logarithms and exponentials * Logarithmic Scales and Applications * The Exponential Function – base ‘e’ * Differentiation of Exponential Functions * The Natural Logarithmic Function – base ‘e’ * Transformations of the graph y=logex * Exponential rates using base e
Investments and Loans - Topic Summary - Mathematics Standard HSC
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Investments and Loans - Topic Summary - Mathematics Standard HSC

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Revision of the Investment and Loans Mathematics Standard topic including past HSC questions •Using compound interest formula to find the Future Value and Present Value •Comparing compounding with different time periods and interest compounding rates or comparing different investment types •Using graphs related to compounded to answer questions •Calculations with shares
Perimeter, Area and Volume - Topic Revision - Mathematics Standard
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Perimeter, Area and Volume - Topic Revision - Mathematics Standard

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A revision lesson to prepare for the topic of Perimeter, Area and Volume topic in HSC Mathematics Standard. Content includes; •The difference between perimeter, area and volume •Circumference and perimeter of circles and sectors •Applying the trapezoidal rule •Surface Area of cylinders •Volume of prisms and cylinders •Volume of pyramids •Capacity
Non-Right Angle Trigonometry - Mathematics Standard HSC - Topic Revision
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Non-Right Angle Trigonometry - Mathematics Standard HSC - Topic Revision

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Non right angle trigonometry study session for Mathematics Standard HSC Preliminary. Key Concepts: Overview of right-angled trigonometry (SOH CAH TOA) Area of non-right angled triangles Finding missing sides & angles using: -Sine rule -Cosine rule Learning Intentions: Understand when and how to use right-angled trigonometry Finding the area of non-right angled triangle Understand when & how to use the sine and cosine rule to find missing sides angles Success Criteria: Choose & apply the correct rule to find a missing side or angle in a triangle Calculate the area of non-right angled triangles