Travel Graph

Travel Graph

A classroom activity on how much petrol was used during a daily travel. Concepts covered: gradient, speed, distance, time, real life applications. Reading graphs accurately. Interpreting graph. Designed for Y9. My students found it relevant and participated very well in the class activity. Full answers provided.
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Kinematics

Kinematics

A unit of work on Kinematics including using differentiation and integration, velocity-time graphs, constant acceleration formulas, distance versus displacement, motion of a lift in an application task. Using technology (CAS) with Kinematics. Difficult concepts introduced and explained. Plenty of practice problems and assessment tasks. Suitable for VCE Specialist Mathematics Unit 2 or any other Kinematics course.
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Squares to Stairs

Squares to Stairs

Number of diagonals in a polygon, number of squares in special figures, triangular numbers are just some of the examples how we can model with quadratic functions. Using difference tables to establish the pattern and confirm the relationship in Geogebra. Enter the numbers in a spreadsheet, draw a graph, fit a polynomial regression model, use the model for predictions. An assessment task on direct and inverse variation to follow the lesson. The zipped folder includes Geogebra files. Teacher handout has full instructions how to use Geogebra. A lesson can be differentiated: stronger students attempting difference tables and taking an algebraic approach; weaker students using technology to arrive at the same answer.
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Exam Hints for IB Mathematics

Exam Hints for IB Mathematics

Get ready for your IB Maths examination with the hints and advice from an experienced IB Teacher and Senior Examiner. Numerical solve versus graphical solutions. How to handle angle settings in PTT mode. Design a spread sheet for Euler's Method in Calculus Option. Polyroots, sequences and series, sine and cosine rule, bounded area, window settings, storing and retrieving variables, probability distributions, calculus, statistical applications. General exam hints.
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VCE Mathematical Methods 3&4 Trial Exam November 2017

VCE Mathematical Methods 3&4 Trial Exam November 2017

Trial Exam with fully worked solutions for VCE Mathematical Methods Units 3&4 final examination. An additional resource which can be used in class for discussion or as an extra trial paper. Written by a very experienced practising VCE Methods teacher and VCAA Assessor. Full working solutions provided for both papers with TI Nspire CAS screen shots included for Written Examination 2.
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IB Studies Trial Exam November 2017

IB Studies Trial Exam November 2017

Need more practice before your IB Studies Exam? A brand new Paper 1 and paper 2 with all original questions written by an experienced IB Teacher and Examiner. Full markscheme with step by step solutions and GDC screens provided. For solutions to November 2017 exam follow http://www.mathexams.com.au/index.php/home/ib-mathematics/studies/?preview_id=156&preview_nonce=37793785ca&_thumbnail_id=-1&preview=true
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Distribution of sample proportions.

Distribution of sample proportions.

A complete set of lessons including power points, activities, calculator hints to teach distribution of sample proportions, confidence intervals, margin of error, CLT, using normal approximation for large samples. Quiz included.
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Integration by recognition.

Integration by recognition.

A power point presentation on integration by recognition with fully worked examples and student worksheet. Suitable for VCE Mathematical Methods Unit 4 or any other Calculus course.
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Graphs of reciprocal functions.

Graphs of reciprocal functions.

An introduction to the graphs of reciprocal functions. Reciprocals of polynomials, absolute value linear, reciprocal circular functions. Developing the general principles how to deduce the graph of the reciprocal of any function given by a graph or rule. Suitable for IB HL Mathematics or VCE Specialist Mathematics Unit 2 to Unit 3 or any similar course.
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IB HL Mathematics Practice (Mock, Trial) Exam May 2017 Core Papers

IB HL Mathematics Practice (Mock, Trial) Exam May 2017 Core Papers

Practice core papers for IB HL Mathematics May 2017. Written in a new format, each paper is out of a 100 marks. Full step by step solutions. GDC screens provided in Paper 2 markscheme. Detailed syllabus coverage, differentiated difficulty make this trial exams an excellent practice for students sitting May 2017 exams or preparing for November 2017 examinations.
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Mathematical Methods Unit 3 Quizes

Mathematical Methods Unit 3 Quizes

Short topic quizzes on functions and calculus to test the understanding of basic concepts, provide weekly feedback to students and clarify any difficult ideas.
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Review of Differential Calculus IB Studies

Review of Differential Calculus IB Studies

Two power point presentations reviewing the Differential Calculus learnt in Year 11. The basics, power rule for differentiation, interpretation of the gradient function, equations of tangents and normal, decreasing and increasing functions. Examples modelling typical examination questions.
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VCE MM 3&4 Using TI Nspire CAS with circular functions

VCE MM 3&4 Using TI Nspire CAS with circular functions

Converting between degrees and radians. Solving trig equations over a specified domain. General solutions to trig equations. Using zeros and sum of zeros commands. Ferris wheel application question with CAS. Graphs with display in terms of pi. A zipped file containing a word document and tns files.
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Sketching parabolas first steps.

Sketching parabolas first steps.

Introduction to sketching parabolas in Year 9. Class activities to learn the basic shape of a parabola with simple transformations; determine the position of a vertex and axes intercepts. Simple assessment task included.
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Variation Problem Solver

Variation Problem Solver

Fitting curves using direct and inverse variation. Modelling with triangular numbers resulting in a quadratic (using first and second differences to confirm) and with light intensity with a power function. Can be used as an assessment or as class activity. Use of technology is encouraged. Solutions provided.
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Probability.

Probability.

Independent events, conditional probability, addition law, Karnaugh maps and Venn diagrams and Bayes theorem.
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