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Inequalities - Mathematics Extension 1
A booklet for the Mathematics Extension 1 topic of Inequalities.
Content includes,
* Quadratic Inequations
* Inequations with an Unknown Denominator
* Absolute Value Inequations
Bundle
Coordinate Geometry and Linear Relationships Lesson PowerPoints
Twelve lesson PowerPoints which will take a class through the topics of coordinate geometry and linear relationship. All the planning, examples and worked solutions \ are done for you!
Content includes
* Distance Formula
* Gradient of a Line
* Midpoint
* Equation of a line
* Parallel and Perpendicular Lines
* Find the equation of a line
* General form of linear equations
* Gradient Intercept form
* Horizontal and Vertical Lines
* Length of an interval
* Solving equations graphically
Coordinate Geometry Quiz
Coordinate geometry quiz. Students are required to:
* Distance between two points
* Midpoint
* Point on a line
* x and y intercept
* gradient
* equation of a line
Solving Linear Inequalities Lesson (Inequality & Inequation)
This PowerPoint lesson takes students through solving linear inequalities;
* refresh of inequality notation
* explanation of what an inequality / inequation is
* explanation of why the inequality sign flips when divided or multiplied by a negative
* Worked examples solving inequalities
* Worked examples to graph a solve inequality equation
* Practice questions for students
Inverse (Indirect) Proportion Worksheet with Steps to solve
Inverse (or indirect) proportion worksheet including scaffolded steps to solve problems and worked example. Written step-by-step solutions also included.
Useful to provide a relief teacher.
Inequalities Placing on a Number Line Lesson PowerPoint Inequality (Inequation)
An introduction to inequalities (inequations). This PowerPoint lesson will have students
* Understand the greater than or less than inequality notations
* Graphing an inequality of a number line, with open and closed circles
* Investigating when an inequality is true or false
PAYG Tax and Net Pay - Scaffolded
A highly scaffolded worksheet on PAYG tax and net pay. Excellent differentiation for lower ability students
Rates and Ratio Quiz
Rates and Ratio quiz
Motion & Rates Revision Booklet - HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advanced HSC Motion and Rates topic.
Content Includes
* Introduction
* Average velocity and speed
* Velocity and acceleration as derivatives
* Velocity and acceleration as derivatives - Trigonometric & Exponential Functions
* Integrating with respect to time
* Rates and differentiation
* Review of related rates – Extension 1 students
* Rates and integration
* Velocity-Time Graphs and Trapezoidal Rule
Trigonometric Functions Revision Booklet - HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advanced HSC Trigonometric functions topic.
Content Includes
* Graphing trigonometric functions
* The behaviour of sin x near the origin
* Differentiation of Trig Functions
* Applications of Differentiation
* Integrating trigonometric functions
* Applications of Integration.
Bivariate Data Analysis Revision Booklet - HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advance HSC Descriptive Statistics and Bivariate Data Analysis topic.
* Content Includes
* Displaying data
* Grouped Data
* Quartiles & Interquartile range
* Bivariate Data
* Formulae for correlation and regression - Enrichment
* Websites for consolidation of concepts
* Using technology with bivariate data
Curve Sketching w. Derivatives Revision Book - Year 12 HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advance HSC Integration topic.
Content includes
* The sign of the first derivative
* Stationary points and turning points
* Second and higher derivatives
* The Second Derivative and Concavity
* Curve sketching
* Curve sketching – Restricted domains and Global maximum and minimum
* Applications of maximisation and minimisation
* Primitive Functions
Exponential & Logarithmic Functions Revision Booklet - HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advance HSC Exponential & Logarithms topic.
Content Includes
* Review of exponential functions
* Differentiation of Exponential functions
* Applications of differentiation
* Integration of exponential functions
* Applications of integration
* Review of Logarithmic Functions
* Differentiation of logarithmic Functions
* Applications of differentiation of logarithmic functions
* Integration involving logarithmic functions
* Applications of integration of 1/x
* Calculus with bases other than e
Integration Revision Booklet - Year 12 HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advance HSC Integration topic.
Content includes
* Areas and the definite integral
* Evaluating definite integrals
* The definite integral and its properties
* Proving the fundamental theorem
* The indefinite integral
* Finding areas by integration
* Areas of compound regions
* The trapezoidal rule
* The reverse chain rule
Series & Finance Revision Booklet - HSC Mathematics Advanced
A complete and extensive topic workbook on the Mathematics Advance HSC Series & Finance topic.
Content Includes
* Applications of APs and GPs
* The use of logarithms with GPs
* Simple and compound interest
* Annuities – Investing money by regular instalments
* Paying off a loan
* Glossary of terms
* NESA Examination Materials
Statistical Analysis Booklet - Year 11 - Preliminary Mathematics Advanced
A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic.
Content Includes
* Language of Probability
* Illustrating the Sample Space
* Sets and Venn diagrams
* The Addition Rule of Probability
* The Product Rule of Probability
* Probability Trees
* Conditional Probability
* Random Variables
* Discrete probability distributions
* Expected Value
* Variance and Standard Deviation
* Textbook Exercises: Haese Mathematics (2012)
* Textbook Exercises: Maths In Focus (Chapter 12)
Time Assignment - Year 7
A Year 7 time assignment which assesses students’ knowledge, skills and understanding on the following outcomes
MA41WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA42WM applies appropriate mathematical techniques to solve problems
MA415MG performs calculations of time that involve mixed units, and interprets time zones
MA313MG uses 24-hour time and am and pm notation in real-life situations, and constructs timelines
Gradient Intercept Form of a Line - Lesson PowerPoint
Lesson PowerPoint going through the concepts of the gradient intercept form of a line
General Form of a Linear Equation (Straight Line) - Lesson PowerPoint
Lesson PowerPoint on determining the general form of a linear equation (straight line)
•Recognize the general form of a straight line.
•Lean how to convert the gradient-intercept form of the equation of a straight line to the general form.
•Learn how to convert the general form of the equation of a straight line to the gradient-intercept form.
Bundle
Mathematics Standard HSC Revision Bundle
Topic reviews in preparation for the Mathematics Standard HSC examination. Reviews include annotated notes and past HSC questions along with tips and tricks to attain maximum marks. Topics included are:
Non Right Angle Trigonometry
Investment and Loans
Working with Time
Perimeter, Area and Volume
Probability
Ratio, Rates and Scale Drawings