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

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

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)

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

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

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

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

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.

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

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

A complete and extensive topic workbook on the Mathematics Advance HSC Continuous Probability Distributions topic. Content Includes * Cumulative relative frequencies * Continuous probability distributions * Definitions and Properties * Further examples on PDFs and CDFs * Mean and Variance of a distribution * The Standard Normal Distribution – (Z-distribution) * The General Normal Distribution – (X- distribution) * Applications of the normal distribution * Investigations using the normal distribution

A complete and extensive topic workbook on the Mathematics Advance HSC Sequences and Series topic. Content Includes * Sequences and how to specify them * Arithmetic sequences * Geometric Sequences * Solving problems involving APs and GPs * Adding up the terms of a sequence * Summing an arithmetic series * Summing a geometric series * The limiting sum of a geometric series * Recurring decimals and geometric series

An assignment based on collecting, organising and displaying data. Students will need to; * observe the colours of cars that pass by their home, school or nearby location * Place this data into a frequency table * Display the data in a dot plot * Answer questions based on their data from the dot plot * Construct a divided bar graph * Collect weather data from the previous week * Display the data in a column / historgram graph * Answer questions based on their graphs Marking rubric is attached

A simple poster demonstrating the rules to convert units of time. This can be printed and laminated for the classroom or smaller copies made for student’s workbooks.

A scaffold to assist students in solving word problem questions in Mathematics. An excellent tool to use to guide independent learning.

Simple word problems which allow students to determine which mathematical operation to apply in order to solve. An excellent resource to use to have students work on their mathematical language. The teacher could brainstorm different synonyms for the operations of addition, subtraction, multiplication and division then provide the worksheet as an application. Students could then be asked to write their own questions.

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

Simple BODMAS poster

Simple capacity conversions poster for your classroom