Specialist Mathematics Yr12 by Texas Instruments

Units 3 and 4 Specialist Mathematics are completely prescribed and consists of six areas of study, Functions and Graphs, Calculus, Algebra, Vectors, Mechanics and Probability and Statistics. Students are expected to be able to apply techniques, routines and processes involving rational, real and complex arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, graphs, differentiation, anti-differentiation and integration and inference with and without the use of technology. The use of numerical, graphical, geometric, symbolic and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is to be incorporated through each unit as applicable.

For more information on the Specialist Mathematics course, visit the VCAA website.

VIC: Specialist Mathematics Yr12 Classroom Activities	Download
Functions and Graphs
Functions and Graphs Test 2A Published on August 27, 2015 Automated, self-check or print, the choice is yours, regardless of your choice this free assessment resource will save you time. TI-Navigator users send the test to students and have Navigator automatically complete all the corrections and data analysis. TI-Nspire users can have students immediately see their results. Even if you don’t have access to TI-Navigator or TI-Nspire use our PDF version of the test, in any case, this resource will save you time.	Download48
Circular Functions Test 3A Published on July 07, 2016 This assessment resource is suitable for Chapter Three of the Cambridge VCE Year 12 Specialist Mathematics textbook. The assessment resource is available as a TI-Nspire file or PDF. The TI-Nspire file provides for automated whole class correction and feedback via the TI-Navigator system (Exam) or as automated correction for individual review (Self Check). TI-Nspire users can add, delete or edit any of the questions provided. The companion PDF provides the same questions in a printed format.	Download13
Absolute Value Published on July 12, 2018 Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(\|x\|) and \|f(x)\|.	Download6
Algebra
Circles on the Complex Plane Published on August 31, 2015 Students start with the familiar real number line and basic geometry to develop a deeper understanding of circle equations on the complex plane.	Download24
Fundamental Theorem of Algebra Published on November 13, 2015 Students generate random polynomials and observe the distribution of the zeros on the complex plane. From the distributions students are able to draw conclusions about the zeros, and therefore roots, of a polynomial in order to gain a better visual understanding of the Fundamental Theorem of Algebra.	Download23
Complex Numbers Test 1A Published on August 25, 2015 Automated, self-check or print, the choice is yours, regardless of your choice this free assessment resource will save you time. TI-Navigator users send the test to students and have Navigator automatically complete all the corrections and data analysis. TI-Nspire users can have students immediately see their results. Even if you don’t have access to TI-Navigator or TI-Nspire use our PDF version of the test, in any case, this resource will save you time.	Download32
Preliminary Test 1A Published on July 08, 2016 This assessment resource is suitable for Chapter One of the Cambridge VCE Year 12 Specialist Mathematics textbook. The assessment resource is available as a TI-Nspire file or PDF. The TI-Nspire file provides for automated whole class correction and feedback via the TI-Navigator system (Exam) or as automated correction for individual review (Self Check). TI-Nspire users can add, delete or edit any of the questions provided. The companion PDF provides the same questions in a printed format.	Download9
Complex Numbers Test 4A Published on February 09, 2016 This assessment resource is suitable for Chapter Four of the Cambridge VCE Year 12 Specialist Mathematics textbook. The TI-Nspire file provides for automated whole class correction and feedback via the TI-Navigator system (Exam) or as automated correction for individual review (Self Check). TI-Nspire users can add, delete or edit any of the questions provided. The companion PDF provides the same questions in a printed format. Whichever option you chose, this free assessment resource will save	Download15
Taylor Polynomials Published on January 04, 2018 The modulus and argument form of a complex number can be written in two ways, but how are they connected? ‘CIS’ format is a straight forward application of trigonometry, but what about e ? In this activity students explore the Taylor expansion of e^x and compare it with the Taylor expansion of cos(x) + sin(x) revealing a small difference relating to an alternating sequence of negative signs which can be adjusted using i. The activity removes the mystery and replaces it with a beautifully connected piece of mathematics	Download23
Calculus
Slope Fields and Differential Equations Published on October 08, 2015 Students use the interactive TI-nspire file and support video to gain an understanding of slope fields and differential equations. Students use a slope vector to manually produce a slope field and specific solution followed by the more automated option using the inbuilt calculator functionality. Students solve differential equations by hand and on TI-Nspire.	Download31
Solid of Revolution Published on April 15, 2016 Liquid flows into a vase at a constant rate, sketch a graph of height vs time. Ever thought of actually doing this experiment to help students see that their sketch graphs really are correct? This activity links to a YouTube video so students can collect the data and use this to verify their sketch graph. The activity also includes modelling the curve and then eventually rotating it around the axis to produce a 3D image of the vase!	Download24
Differentiation Test 6A Published on July 07, 2016 This assessment resource is suitable for Chapter Six of the Cambridge VCE Year 12 Specialist Mathematics textbook. The assessment resource is available as a TI-Nspire file or PDF. The TI-Nspire file provides for automated whole class correction and feedback via the TI-Navigator system (Exam) or as automated correction for individual review (Self Check). TI-Nspire users can add, delete or edit any of the questions provided. The companion PDF provides the same questions in a printed format.	Download9
Astroid Published on March 25, 2018 Students start by considering the motion of a point on the wheel of a bicycle. With the aid of interactive diagrams in the TI-Nspire document, students go on to explore the case when the wheel rotating inside another resulting in a hypocycloid. Students generate the parametric form of the equation, use compound and double angle formulas to generate the equivalent Cartesian equations and use calculus to analyse features of the curves, including gradient and arc length.	Download10
Probability and Statistics
Linear Transformations of a Random Variable Published on August 23, 2016 This activity presents an intuitive approach to Linear Transformations of a random variable. If your students don’t understand E(aX+b) or Var(aX+b) then this is a good place to start. By building on a simple familiar example students can validate their intuition using the tables, graphs, spreadsheets and notation to build an better understanding of E(aX+b) and Var(aX+b).	Download8
Frank’s Farm Published on November 06, 2016 When should linear transformations be applied to the combination of random variables? Frank has steers and heifers to sell, their weights are randomly distributed. What is the probability that four randomly selected steers and two heifers will exceed the required weight? What about the required price? A program is provided for students to simulate the problem so they can compare their theoretical calculations with the simulations.	Download7
Calculator BlackJack Published on November 26, 2017 In the game of Blackjack, players continually draw cards until they can gain a score as close to 21 as possible, without going bust. In Calculator-Blackjack the random number generator is used to produce numbers between 0 and 1, these numbers are summed with the aim to keep this sum less than 1. On average how many cards do you think a player might have drawn to end up bust? This question is explored through statistics and sampling distributions. The answer to the question may surprise you!	Download13
Vectors
Vectors In Component Form Published on November 16, 2015 Students experiment with an interactive 2 dimensional vector and observe the corresponding changes to its representation in i and j component form.	Download26
Scalar Resolute (Vectors) Published on September 15, 2015 Understand the concept of scalar resolute, generate and use the formula for scalar resolute and solve related problems. Students learn how to define vectors in terms of matrices, calculate the dot product and magnitude required for the scalar resolute.	Download47
Vectors Test 2A Published on July 01, 2016 This assessment resource is suitable for Chapter Two of the Cambridge VCE Year 12 Specialist Mathematics textbook. The assessment resource is available as a TI-Nspire file or PDF. The TI-Nspire file provides for automated whole class correction and feedback via the TI-Navigator system (Exam) or as automated correction for individual review (Self Check). Whichever option you chose, this free assessment resource will save you time.	Download17