Rates and Ratio quiz

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 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 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 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 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 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 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)

An assignment that is based on the 2018 Winter Olympics which assesses students’ knowledge, skills and understanding of the syllabus outcomes Ø MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions Ø MA5.2-3WM constructs arguments to prove and justify results Ø MA5.2-15SP uses quartiles and box plots to compare sets of data, and evaluates sources of data MA5.3-18SP investigates the relationship between numerical variables using lines of best fit, and explores how data is used to inform decision making processes

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

A lesson PowerPoint which that covers the concepts of vertical and horizontal lines in addition to testing if a point lies on a line

Lesson PowerPoint going through the concepts of the gradient intercept form of a line

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.

A lesson PowerPoint reviewing Surds and Indices * Rational and irrational numbers * Real numbers and surds * Simplifying surds * Multiplying and dividing surds * Adding and subtracting surds * Binominal products and surds * Rationalising the denominator * Index notation * Fractional Indices * Summary of index laws and properties

Here is a lesson PowerPoint on sketching linear equations on a number plane to be able to solve them graphically.

Lesson PowerPoint on applying the order of operations using the PEDMAS strategy

Lesson PowerPoint on determining the equation of perpendicular and parallel lines

A complete topic workbook on the Year 11 Mathematics Advanced Working with Functions topic. Content Includes * Continuity. * Limits. * The Gradient of a Curve. * The Gradient of a Curve using Secants. * The Derivative as a Limit * The Derivative Function. * Differentiating powers of x. * Tangents and Normals. * Further Differentiation – Chain Rule. * Differentiation and Index Laws. * Further Differentiation – Product Rule. * Further Differentiation – Quotient Rule. * Differentiation – Miscellaneous Examples. * Differentiability. * Rates of Change. * Rates of Change – Introduction to Motion