Specialist Mathematics Yr12

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.	Download39
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.	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.	Download21
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.	Download17
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.	Download20
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.	Download3
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	Download10
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.	Download19
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!	Download15
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.	Download2
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).	Download1
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.	Download1
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.	Download10
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.	Download34
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.	Download7

Functions and Graphs Test 2A

Circular Functions Test 3A

Circles on the Complex Plane

Fundamental Theorem of Algebra

Complex Numbers Test 1A

Preliminary Test 1A

Complex Numbers Test 4A

Slope Fields and Differential Equations

Solid of Revolution

Differentiation Test 6A

Linear Transformations of a Random Variable

Frank’s Farm

Vectors In Component Form

Scalar Resolute (Vectors)

Vectors Test 2A