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Classroom Activities Author Level Technology

Inside Out

Students explore the concept of 'centre' using a range of familiar shapes. The dynamic geometry environment on TI-Nspire is then used to construct a triangle. Using the perpendicular bisector tool students locate the circumcentre of the triangle then use congruent triangles to establish a proof.
  • Middle
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
0

ACMNA182 Indices Test

Electronic auto correcting assessment for the Australian Mathematics Curriculum Standard ACMNA182 using the TI-Navigator system including a companion PDF of the same.
  • Middle
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
1

Absolute Value

Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(|x|) and |f(x)|.
  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
2

Water Bottles

A wealth of freely available videos are available to introduce this activity. Students then explore a Fermi question with a view to estimating the quantity of single use water bottles that are disposed of annually in Australia. This quantity is then used to estimate the mass and volume of plastic and consider how deep this pile of plastic would be if it covered the school.

  • Middle
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
0

Finance Solver

Instructional worksheet to help students understand the TVM (Time - Value - Money) finance solver on TI-Nspire. Explanations include when entries should be positive / negative, how to write percentages and the meaning behind each of the entries.
  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
3

Finance Solver on the TInspire

This instructional worksheet covers the use of the TVM Solver and construction and interpretation of Amortisation Tables. Students can see the impact of additional repayments early in a mortgage by using a combination of the TVM Solver and the Amortisation Table.
  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
5

Nspired Crossword NC

This activity is designed for students completely new to TI-nspire. No mathematical knowledge is required to complete this task. Students complete a crossword puzzle where the clues relate to application menus and the answers are the menu items. The activity helps students navigate TI-Nspire and become familiar with the menus.
  • Aust Senior
  • TI-Nspire™ CX
10

Astroid

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.
  • Aust Senior
  • TI-Nspire™ CX CAS
5

Tower of Hanoi

Students explore the relationship between the number of discs and moves required to solve the classic “Tower of Hanoi” problem. The TI-Nspire file contains an interactive model produced by Andy Kemp.  The interactive model allows you to change the number of disks and automatically record the total number of moves allowing students to focus on solving the problem and identifying patterns. The activity also includes a degree of scaffolding to help student identify and understand the nature of the geometric recursive relationship between the number of disks and the number of moves.

  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
8

Tower of Hanoi

The classic "Tower of Hanoi" problem involves moving discs of different sizes amongst three columns with the restrictions that large discs can’t be placed on small discs and discs can only be moved one at a time. The challenge is to move all the discs from one column to another. This activity requires students to solve this problem, recognise and use the recursive definition of an arithmetic sequence and explore alternative approaches to solving the problem. The TI-Nspire file contains a virtual Tower of Hanoi.
  • Aust Senior
  • TI-Nspire™ CX
6

Expecting a Win

Many board games require players to land precisely on the last square of the board in order to complete the game. This investigation involves the simplest of board games. Players take it in turns to roll a die, each time advancing toward the final square. Players must finish precisely on the last square in order to finish the game. So far the game sounds simple and fair. There is however one catch! Players can nominate the number of ‘sides’ on their die. As the die is virtual (simulated by the calculator), players can nominate any quantity between 1 and 20. There are 20 squares on the board, so exactly 20 squares must be advanced and the first player to do so is the winner!

  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
2

The Fibonacci Sequence

One of the simplest and beautiful mathematical sequences. The simplicity: 1, 1, 2, 3, 5, 8 ... is such that each term is the sum of the previous two terms. Examples of the sequence can be found in nature, architecture and number theory. In this investigation, students explore some of the patterns within the sequence such as the consecutive sum of the squared terms. What about the last digit of term 60, 61, 62 ... what pattern do these form? Don't worry, the magical phi is not left out, including amazing relationships such as 1 + phi. Check it out!

  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
7

Geometric Sequences and Series

Imagine you just arrived home from school, you’re really hungry. You decide the block of chocolate will help you with your homework. Pretty soon half the block is gone, so you quickly put it back in the refrigerator. Your brother arrives home, spots the half eaten block of chocolate and immediately breaks half the remaining block off for himself. Dad’s next, when he visits the refrigerator he too breaks off half the remaining block. How long will the block last you wonder?

This introduction combined with a dynamic representation and accurate mathematical notation is used for the basis of introducing and exploring Geometric sequences and series.

  • Aust Senior
  • TI-Nspire™ CX CAS
6

Taylor Polynomials

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 ex 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
  • Aust Senior
  • TI-Nspire™ CX CAS
7

Great Expectations

This activity uses a combination of simulation and simple probability tree diagrams to explore a set of dice with some very unusual characteristics. Grime Dice, created by Dr. James Grime are used in the initial investigation, however Efron dice and other non-transitive dice can be explored in the extension section of the investigation.
  • Aust Senior
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
7