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

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

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

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

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

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

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 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 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

An activity for students to use different words to describe the math operations of addition, subtraction, multiplication and division. Lesson Plan Teacher can cover the mind maps and have students do a “think, pair, share” activity to brainstorm some descriptive words for the operations. Then students can work on the independent worksheet wherein they need to read a description of a math operation then write the correct symbol.

A properties and types of angles matching activity for Geometry. Students will have to cut the angle diagram, name and description and match them together. Once completed they can past into their book. Answer key is included

A mathematics dictionary that translates mathematical terms from English to Spanish and visa-versa.

A booklet for the Mathematics Extension 1 topic of Binomial Distributions. Content includes, * Bernoulli Distribution * Binomial Probability * Mean & Variance of a distribution * Skewness & binomial distributions * Normal approximations to a binomial * Sample proportions * Table of Values: The standard normal probability distribution

Booklet designed for Year 11 Mathematics Extension 1 topic of Graphical Relationships. Contains the content of: Sketching Skills - Translations & Reflections Graphs of Reciprocal Trigonometric Functions Sketching reciprocals of functions Sketching square roots of functions Sketching absolute values of functions Sketching the sum of two functions Sketching the product of two functions Set Exercises – Fitzpatrick (2019) Set Exercises – Answers

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

A booklet for the Rates of change with respect to time, Exponential growth and decay & Related rates of change topics within the Mathematics Extension 1 course. Content includes, * Review questions : Average and instantaneous rate of change * Related Rates * Exponential growth and decay * Modified exponential growth & decay * Newton’s Law of cooling

A booklet on the topic of Further Trigonometric Identities for the Mathematics Extension 1 course. Content includes, Sum & Difference of Angles Double Angle Formulae Half Angle Formulae (‘t’ formulae) Products to Sums

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

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