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Surds and Indices Topic Review (Rationalising & Fractional & Binomial Products)
A lesson PowerPoint reviewing Surds and Indices
* Rational and irrational numbers
* Real numbers and surds
* Simplifying surds
* Multiplying and dividing surds
* Adding and subtracting surds
* Binominal products and surds
* Rationalising the denominator
* Index notation
* Fractional Indices
* Summary of index laws and properties
Coordinate Geometry - Solving Equations Graphically - Lesson PowerPoint
Here is a lesson PowerPoint on sketching linear equations on a number plane to be able to solve them graphically.
Order of Operations - Lesson PowerPoint - PEDMAS
Lesson PowerPoint on applying the order of operations using the PEDMAS strategy
Equation of Parallel Lines and Perpendicular Lines
Lesson PowerPoint on determining the equation of perpendicular and parallel lines
Mathematics Advanced Calculus Booklet - Year 11 - Preliminary
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
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 Linear Functions Booklet - Year 11 - Preliminary
A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic.
Content Includes
* Distance, Midpoint, Gradient - Review…
* The Equation of a Line.
* Using pronumerals in place of numbers.
* Applications of linear functions.
Mathematics Advanced Working with Functions Booklet - Year 11 - Preliminary
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
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
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
Bundle
Mathematics Advanced Preliminary Workbooks
Detailed workbooks for the topics of
Working with Functions
Trigonometry
Statistical Analysis
Linear Functions
Exponential and Logarithmic Functions
Calculus
Algebraic Techniques
Probability - Topic Review - Mathematics Standard
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
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
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
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
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
Working with Time - Topic Review - Mathematics Standard HSC
Topic review of Working with Time topic for Mathematics Standard with past HSC question.
Introduction to Congruence - Lesson PowerPoint
A quick introductory lesson with theory, examples and applications of congruency
Non-Right Angle Trigonometry - Mathematics Standard HSC - Topic Revision
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
Converting Capacity Units Measurement Poster Chart
Simple capacity conversions poster for your classroom