Specialist Yr 11 by Texas Instruments

Mathematics Specialist consists of life-related and abstract applications of functions, calculus, probability and statistics, vectors, complex numbers and matrices. Topics are developed systematically, with increasing levels of sophistication and complexity, building on functions, calculus, probability and statistics from Mathematics Methods, while vectors, complex numbers and matrices are introduced.

In addition to the activities sorted by topic, download the comprehensive books produced by Peter McIntyre (ADFA UNSW). Hundreds of pages of activities, instructions and research:

Volume 1 Volume 1 (Sup) Volume 2 Volume 3 Volume 4 Programs

QLD (TI-84PlusCE): Specialist Yr 11 Classroom Activities	Download
Combinatorics
Pascals Triangle Hidden Gem Pascal's Triangle goes way beyond coefficients of binominal expansions and combinatorics. In this activity students are introduced to the basics but go on to explore other relationships and patterns such as the triangular and tetrahedral numbers, Fibonacci sequence and even Euler's number. There are so many hidden gems in this amazing triangle.	Download19
Mathematical Induction
Part 1 of 3 - Induction Whole Numbers Part 1 of 3: Induction for whole numbers requires students to establish a formula for the sum of consecutive whole numbers. Students establish the formula using a variety of techniques and are then required to prove their formula holds true for all whole numbers. (Mathematical Induction) Variations on this summation and formula are also required to be proved by the process of Mathematical Induction.	Download3
Part 2 of 3 - Tetrahedral Induction Part 2 of 3: Induction for tetrahedral numbers requires students to establish a formula for the tetrahedral numbers. Just like the first activity in this series, students use a variety of techniques, but this time with much less mathematical and technology scaffolding. Students are then required to prove, by Mathematical Induction that their formula holds true. Other similar formulas are also proved using the process of Mathematical Induction.	Download1
Part 3 of 3 - Induction Assessment 84 Part 3 of 3: Induction Assessment consists of a graded series of short answer questions - Exam style. The question follow a similar sequence to those in Parts 1 and 2. Students develop a formula for the sum of cubed numbers and compare it to the squared sum of whole numbers. Students use their calculator as applicable to answer questions which culminate in a proof by Mathematical Induction to show that their formula holds true.	Download3
Vectors in the Plane
Vector Graphics Watch Activity Tutorial Vectors can be used to solve quite complex problems, in this activity students use position vectors in component form to describe points on the Cartesian plane. Students then explore these points, located on the function y = 1/x forming a triangle with some very interesting properties.	Download43
Matrices
Operating on Matrices Students learn how to add, subtract, and multiply matrices, as well as find the determinant and inverse of a matrix.	Download4
Dilations with Matrices Students use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.	Download1

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Pascals Triangle Hidden Gem

Part 1 of 3 - Induction Whole Numbers

Part 2 of 3 - Tetrahedral Induction

Part 3 of 3 - Induction Assessment 84

Vector Graphics

Operating on Matrices

Dilations with Matrices

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