Mathematics Higher Level by Texas Instruments

Featured Activities: Mathematics Higher Level Classroom Activities	Download
Getting Started Resources
$Crossword_Thumb$ 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.	Download291
Short Cuts This activity is intended as a resource to help students navigate the TI-Nspire CX CAS calculator. Three pages of short cuts, tips and tricks are provided in addition to a brief series of instructions designed to show how some of these short cuts can be used. Even if you are familiar with the TI-Nspire CX series calculators and software, you are bound to find some tips and tricks that you didn't know existed.	Download85
Algebra
$Fundamental_Thumbnail$ Fundamental Theorem of Algebra 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.	Download55
$ax-Towering-thumb$ 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.	Download186
Functions and Equations
Absolute Value Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(\|x\|) and \|f(x)\|.	Download294
Vectors
$Vectors 1 Thumbnail$ Vectors Introduction An introduction to vectors visually, conceptually and numerically. Students manipulate vectors to show addition (head to tail) and the parallelogram rule. Students use a column matrix to represent a vector and explore scalar multiples and the magnitude of a vector.	Download157
$Vectors in component form Thumbnail$ Vectors In Component Form Students experiment with an interactive 2 dimensional vector and observe the corresponding changes to its representation in i and j component form.	Download110
Calculus
$FilltheUrnThumb$ Fill the Vase Students interpret graphs of empirical data with respect to rate of change of the height of water in vases of different shapes that are being filled at a constant rate. Students are provided with a range of graphs and vases. For each graph they must reshape the vase in order to match the volume – height graph. For each vase they must produce a volume – height graph. Practical ideas including data collection and videos are provided in the teacher notes.	Download98
Graphs of Antiderivatives Students use their TI-Nspire to graph the anti-derivative of a function and investigate aspects of the this function and how it relates to the primitive function. For example, if a continuous derivative function changes from negative to positive, what does this produce on the primitive function? How is that different if the derivative function changed from positive to negative?	Download337

Featured Activities: Mathematics Higher Level Classroom Activities

Download

Getting Started Resources

$Crossword_Thumb$

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.

Download291

Short Cuts

This activity is intended as a resource to help students navigate the TI-Nspire CX CAS calculator. Three pages of short cuts, tips and tricks are provided in addition to a brief series of instructions designed to show how some of these short cuts can be used. Even if you are familiar with the TI-Nspire CX series calculators and software, you are bound to find some tips and tricks that you didn't know existed.

Download85

Algebra

$Fundamental_Thumbnail$

Fundamental Theorem of Algebra

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.

Download55

$ax-Towering-thumb$

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.

Download186

Functions and Equations

Absolute Value

Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(|x|) and |f(x)|.

Download294

Vectors

$Vectors 1 Thumbnail$

Vectors Introduction

An introduction to vectors visually, conceptually and numerically. Students manipulate vectors to show addition (head to tail) and the parallelogram rule. Students use a column matrix to represent a vector and explore scalar multiples and the magnitude of a vector.

Download157

$Vectors in component form Thumbnail$

Vectors In Component Form

Students experiment with an interactive 2 dimensional vector and observe the corresponding changes to its representation in i and j component form.

Download110

Calculus

$FilltheUrnThumb$

Fill the Vase

Students interpret graphs of empirical data with respect to rate of change of the height of water in vases of different shapes that are being filled at a constant rate. Students are provided with a range of graphs and vases. For each graph they must reshape the vase in order to match the volume – height graph. For each vase they must produce a volume – height graph. Practical ideas including data collection and videos are provided in the teacher notes.

Download98

Graphs of Antiderivatives

Students use their TI-Nspire to graph the anti-derivative of a function and investigate aspects of the this function and how it relates to the primitive function. For example, if a continuous derivative function changes from negative to positive, what does this produce on the primitive function? How is that different if the derivative function changed from positive to negative?

Download337

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