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Classroom Activities
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The famous designs of Santiago Calatrava represent beautiful examples of the synergy between mathematics, engineering and architecture. In this activity students model the cables of the “Bridge of Stings” in Jerusalem using a family of straight lines. The envelope formed by these straight lines can also be modelled by a single equation defining the curve. Students determine equations to straight lines, solve simultaneous equations, generate parametric equations and finally a single equation to model the resulting curve.
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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.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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Students manipulate the location of z on the Argand plane and observe the location of z squared on a second Argand plane. The coefficients of z squared form the two shorter sides of a right angled Pythagorean triangle. Students explore this relationship then prove it. The extension activity includes the opportunity to explore the polar form of a complex number in an informal manner.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
- TI-Nspire™ Apps for iPad®
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Which statistics really count towards a football team's success? Football commentators often refer to the over use of handballs. Is there any correlation between a team's success and the frequency that players use handball to maintain possession or move the ball forward? This activity comes pre-loaded with all the relevant statistics from the 2016 AFL home and away season so that students can focus on searching and exploring for correlations rather than data entry. See which statistics really count.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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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.
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The Centre for Near Earth Objects monitors potential impact risks of comets and asteroids with the Earth and explore opportunities to collect information from these galactic time capsules. Students use calculus to determine the minimum distance between two curves. The curves represent a simplification of the Earth’s path and the comet or asteroid trajectory.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
- TI-Nspire™ Apps for iPad®
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Suppose two points are randomly placed inside a 1cm x 1cm square, on average, how far apart would you expect the points to be? A simulation is set up to help answer the question. Multiple samples can easily be generated using user defined sizes. The mean of each sample is automatically recorded and graphed to form a sampling distribution. Students gain an understanding of the relationship between sample size and the standard deviation of the corresponding sampling distribution.
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- TI-84 Plus CE
- TI-83/TI-84 Plus Family
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Explore one of the great ‘unsolved mathematics’ problems. The humble beginnings make this problem accessible to upper primary level mathematics: “Every even number greater than two can be written as the sum of two prime numbers”. Students start by exploring two digit numbers, then they apply some relatively simple coding commands to write a basic program that makes exploration quicker. One of the beauties of this unsolved mathematics problem is that it is easy to escalate the mathematics and coding aspects to provide a challenge to a broad range of students.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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This activity explores the calculations of the five figure summary: {min, Q1, median, Q3 and max}. How is an outlier determined? What is positive / negative skew? By physically dragging the maximum point students can determine when the whisker ‘breaks’ and an outlier is created. The connection between the dot plot and the box and whisker plot improves the visual power of this dynamic interaction.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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This activity is an extension of the Factors that Count activity and Counting Factors Coding exercise. STEM principles involve designing, testing and evaluating. In this exercise students evaluate the efficiency of the Counting Factors program and through small changes in the code and some basic number facts students dramatically improve the efficiency.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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Finding solutions to two linear simultaneous equations is straight forward, until someone puts a parameter in it! Including parameters changes the complexity of the question, so using a slider to provide a visualisation of the problem can make things a lot easier to understand.
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- TI-Nspire™ CX CAS
- TI-Nspire™ Apps for iPad®
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Did you know the shortest distance between two points on the earth is a curve, not a straight line? In this activity students can move points along a meridian and watch the latitude and distance change accordingly. The approximate distance provides a reasonable estimate for the follow calculations.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
- TI-Nspire™ Apps for iPad®
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The purpose of this material is to provide immediate feedback for teachers and students using the TI-Navigator system. The questions are automatically corrected and summarized using the TI-Navigator software providing teachers with the opportunity to respond to students needs. A PDF copy of the assessment is provided for schools that do not have TI-Nspire and TI-Navigator.
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- TI-Nspire™ Navigator™
- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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This assessment resource is suitable for Chapter One of the Jacaranda VCE Year 11 General 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.
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- TI-Nspire™ Navigator™
- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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This assessment resource is suitable for Chapter One of the Jacaranda VCE Year 11 Mathematical Methods 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.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
- TI-Nspire™ Navigator™
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