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ALGEBRA LITERACY SUMMARY
A literacy activity which builds student’s understanding of algebraic techniques by using ‘everyday’ language to consolidate.
Excellent for low ability students or students requiring a differentiated task
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
Circle - Parts Radius Diameter Circumference & Area Homework Sheet
Homework sheet for Circles. Includes: parts of a circle, radius, diameter, circumference, area.
Data Probability and Number Properties Test
An assessment task which covers the following content,
Ordering positive and negative numbers
Operating with positive and negative numbers
Using the order of operations
Displaying data in;
* Stem and Leaf plots
* Divided bar graphs
Describing probability
Sample Space
Calculating basic probabilities
Probability ranges
language of probability
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Golden Ratio Activity with Data Collection
This activity centres on collecting data to apply to Golden Ratio.
Students will collect measurement data on each other and answer questions regarding the Golden Ratio as well as mean (average), median, mode and range.
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Surds Jigsaw Puzzle Activity
A fun equivalent surds activity where student cut out each of the triangles. Shuffle the pieces and match the sides of the triangles using equivalent expressions.
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WAGES SALARY COMMISSION PIECEWORK - Types of Income Finance Worksheet
A simple worksheet for low ability students which covers
Different types of pay
* Salary
* Wages
* Commission
* Piecework
Time Conversions
Taxation Worksheet Tax Tables
Worksheet that covers
* Taxable Income
* PAYG
* Medicare Levy
* Tax Tables
* Gross Income
* Net Income
Student Self-Reflection Activity Homework Exit Slip
Student Lesson Reflection Activity Homework Exit Slip
An activity to provide your students to reflect on the lesson that was provided to them. It also aids discussion at home as students are encouraged to show this to their parent. Excellent to assist with goal setting for students
Probability and Number 'Deal or No Deal' Game
A worksheet to accompany the online Deal or No Deal? game.
I usually have a student come up to be the contestant, stopping regularly to talk about the probabilities involved. Play a couple of times then do the worksheet.
Also, when playing, get the whole class involved by handing out the suitcase numbers so they can guess what is in theirs, as they do on the show. This allows you also to talk about the probabilities involved in the guessing
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Mathematical Proof - Booklet - Mathematics Extension 2 HSC
A booklet for the Mathematics Extension 2 topic of Proof. Content includes,
* Language of Proof
* Proofs involving Numbers
* Proof by Contraposition
* Proof by Contradiction
* Proof by Counterexample
* Review Set 1 : Trial HSC Questions
* Algebraic Inequalities
* Mathematical Induction involving Series and Divisibility
* Applications of Mathematical Induction
* Proof of Formula for nC by Mathematical Induction
* Proofs involving recursive formulae
* Inequalities in Geometry and Calculus
* Review Set 2 : Trial HSC Questions
The Binomial Expansion - Booklet - Mathematics Extension 1
A booklet on the topic of the binomial expansion for Mathematics Extension 1. Content includes,
* Binomial Expansions
* Further Binomial Expansions
* The Binomial Theorem
* Proving Identities
* Sigma Notation (Enrichment) & Using The General Term
Permutations and Combinations - Booklet - Mathematics Extension 1
A booklet for the Mathematics Extension 1 topic of Permutations and Combinations.
Content includes,
* Factorial Notation
* The Fundamental Counting Principle
* Permutations – Arrangements in a Line
* Permutations and grouping
* Counting by considering cases
* Permutations and identical elements
* Permutations and circles
* Combinations : Unordered selections
* Using counting in probability
* The Pigeonhole Principle
Inverse Trigonometry and Parametric Functions - Year 11 Mathematics Extension 1
A booklet on the Mathematics Extension 1 topic of Inverse Function, Inverse Trigonometric Function and Parametric Form of a Function or Relation.
Content includes,
* Inverse Relations
* Review : One-to-one Functions
* Inverse Functions
* Mutually Inverse Functions
* Graphing the inverse of a function
* Graphs of Inverse Trigonometric Functions
* Properties of Inverse Trigonometric Functions
* Further graphs involving Inverse Trigonometric Functions
* Parametric form of a function or relation
Polynomials - Booklet - Mathematics Extension 1
A booklet on the Mathematics Extension 1 topic of Polynomials.
Content includes,
* Definition of a Polynomial
* Graphs of Polynomials
* Division of Polynomials
* The Remainder Theorem
* The Factor Theorem
* Roots & Coefficients of Polynomial Equations
* Multiple Roots
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
Mechanics (Simple Harmonic) - Booklet - Mathematics Extension 2 HSC
A booklet for the Mathematics Extension 2 topic of Mechanics. Content includes,
* Velocity and acceleration as functions of x
* Forces and acceleration
* Simple harmonic motion and time
* Simple harmonic motion and displacement
* SHM : Velocity as a function of displacement
Complex Numbers - Booklet - Mathematics Extension 2 HSC
A booklet for the HSC Mathematics Extension 2 topic of Complex Numbers.
Content includes,
* The Complex Number System
* The Arithmetic of Complex Numbers
* Quadratic Equations
* Square Roots of Complex Numbers
* The Argand Diagram
* Modulus-Argument Form
* Products & Quotients Using Mod-Arg Form
* Vectors and the Complex Plane
* Curves and Regions in the Argand Diagram
* Polynomials and Complex Numbers
* De Moivre’s Theorem
* Trigonometric Identities
* Roots of Complex Numbers
* Exponential Form : Euler’s Formula
* Applications of Exponential Form