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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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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
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
Circle - Parts Radius Diameter Circumference & Area Homework Sheet
Homework sheet for Circles. Includes: parts of a circle, radius, diameter, circumference, area.
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
Integration - Booklet - Mathematics Extension 2 HSC
A booklet for the Mathematics Extension 2 topic of Integration. Content includes,
* Properties of Definite Integrals
* The Standard Integrals
* Algebraic Manipulation
* Integration by Substitution
* Trigonometric Substitutions
* Partial Fractions : Part 1
* Partial Fractions : Part 2
* Denominators with Quadratics
* Integration by Parts
* Trig. Integrals : Powers of Trig. Ratios
* Trig. Integrals : Products to Sums
* Trig. Integrals : The t-substitution
* Reduction Formulae
* Reduction Formulae : Harder Examples
* Miscellaneous Integrals
* Uses of integration
Trigonometric Equations - Booklet - Mathematics Extension 1
A booklet for the Mathematics Extension 1 topic of Trigonometric Equations. Content includes,
* Equations Involving Compound Angles
* Auxiliary-Angle Method
* Using t-Formula
* Trial HSC Questions
Vectors - Booklet - Mathematics Extension 1
A booklet for the Mathematics Extension 1 topic of Vectors. Content includes,
* Introduction to Vectors and representation
* Vectors in two dimensions
* Vectors in component form
* Scalar Product of vectors
* Projection of vectors
* Vectors in Geometric Proofs
* Further questions
Motion, Forces & Projectiles - Booklet - Mathematics Extension 1
A booklet for Mathematics Extension 1 topic of Motion, Forces & Projectiles.
Content includes,
* Problems involving displacement and velocity
* Problems involving forces
* Applications to physical situations - Extension 2 students only
* Projectile motion
* Using vectors in projectile motion
* HSC Questions
Further Calculus & Applications of Calculus - Booklet - Mathematics Extension 1
A booklet on the Mathematics Extension 1 topic of Further Calculus Skills and Applications of Calculus. Content includes,
* Differentiation of Inverse Trigonometric Functions
* Integration of Inverse Trigonometric Functions
* Further Trigonometric Integrals
* Integration by substitution
* Further Integration by substitution
* Volumes of rotation
Proof by Mathematical Induction - Booklet - Mathematics Extension 1
A booklet for Mathematics Extension 1 topic of Proof by Mathematical Induction.
Content includes,
* Mathematical Induction : Summation
* Mathematical Induction : Divisibility
* When Induction Doesn’t Work
* Exercise A : Summation
* Exercise B : Divisibility
* Exercise C : When Induction Doesn’t Work
Differential Equations - Booklet - Mathematics Extension 1
A booklet on the Mathematics Extension 1 topic of Differential Equations. Content includes,
* Differential Equations
* Slope Fields
* Separable Differential Equations
* Autonomous Differential Equations
* Applications of Differential Equations
* HSC Questions
Bundle
Mathematics Extension 1 (Preliminary) Booklets
Booklets on each of the Preliminary Mathematics Extension 1 topics. This includes
* Permutations & Combinations
* Inequalities
* The Binomial Expansion
* Graphical Relationships
* Polynomials
* Trigonometric Identities
* Inverse Trig & Parametric Equations
* Rates and Calculus
Index Laws Significant Figures & Scientific Notation Group Scavenger Hunt
A self checking loop scavenger hunt activity activity reviewing index laws, significant figures and scientific notation.
Each card has an answer (top) and question (bottom). Cards are randomly placed on the walls around the room. Students can start from any card and complete the question. They then have to find the poster with their answer (top) and then complete the question on that card (bottom). Students can use the included recording sheet to track their progress. Students should end up at the poster they started at if they got every question correct.
Hint: to save time and paper it is suggested you print and laminate the posters for future use.
Fraction Terminology Language Matching Activity
Fraction Terminology Language Matching Activity
An activity whereby students are required to match terminology about fractions with the correct description. An excellent final 10 minutes of a lesson activity or homework
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
Chinese and Korean to English Math Dictionary (Translation)
A mathematics dictionary that translates mathematical terms from English to Chinese and Korean.
Simple Interest & Compound Interest Differentiated Worksheet Finance Revision
A differentiated worksheet for the concepts of Simple Interest and Compound Interest. Excellent activity for low ability students or students that require differentiation