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.



 TINspire™ CX CAS
 TINspire™ CX

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This activity explores the calculations of the five figure summary: {min, Q_{1}, median, Q_{3} 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.



 TINspire™ CX CAS
 TINspire™ 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.



 TINspire™ CX CAS
 TINspire™ 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.



 TINspire™ CX CAS
 TINspire™ 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.



 TINspire™ CX CAS
 TINspire™ CX
 TINspire™ Apps for iPad®

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The purpose of this material is to provide immediate feedback for teachers and students using the TINavigator system. The questions are automatically corrected and summarized using the TINavigator 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 TINspire and TINavigator.



 TINspire™ Navigator™
 TINspire™ CX CAS
 TINspire™ 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 TINspire file or PDF. The TINspire file provides for automated whole class correction and feedback via the TINavigator system (Exam) or as automated correction for individual review (Self Check). TINspire users can add, delete or edit any of the questions provided.



 TINspire™ Navigator™
 TINspire™ CX CAS
 TINspire™ 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 TINspire file or PDF. The TINspire file provides for automated whole class correction and feedback via the TINavigator system (Exam) or as automated correction for individual review (Self Check). TINspire users can add, delete or edit any of the questions provided.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™ Navigator™

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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.



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 TINspire™ CAS
 TINspire™ Navigator™
 TINspire™ Apps for iPad®

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Suppose you drop your pen onto a wooden floor. If the pen is the same length as the boards are wide, what is the probability that the pen will lie across a join? Simulating the event provides an approximate solution. Taking lots of samples produces a sampling distribution and solving analytically produces a lovely result through calculus.



 TINspire™
 TINspire™ CAS
 TINspire™ Navigator™
 TINspire™ Apps for iPad®

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Two points are placed randomly in a 1cm x 1cm square. What would be the average distance between these two points? This wonderful problem has been constructed as an applicable exploration that uses Pythagoras’s theorem; however, extension opportunities reach well beyond year 12 mathematics. So what’s your guess? Fancy exploring the problem in 3D?




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Suppose you drop your pen onto a wooden floor. If the pen is the same length as the boards are wide, what is the probability that the pen will lie across a join? This problem may seem somewhat obscure but the answer is sure to surprise. Another interesting question, why is it called Buffon’s needle?



 TINspire™
 TINspire™ CAS
 TINspire™ Navigator™
 TINspire™ Apps for iPad®

0


Two points are placed randomly in a 1cm x 1cm square. What would be the average distance between these two points? This wonderful problem has been constructed as an applicable exploration that uses Pythagoras’s theorem; however, extension opportunities reach well beyond year 12 mathematics. So what’s your guess? Fancy exploring the problem in 3D?



 TINspire™
 TINspire™ CAS
 TINspire™ Navigator™
 TINspire™ Apps for iPad®

0


How fast can you read binary text? In this activity students use the TIInnovator to display an ASCII coded text message using an LED to display the data and a second LED as the clock pulse to synchronise the transmission. The activity provides students with an understanding of the complexities of data communication and prepares students for the later activity where they are required to produce a fully automated communication between two calculators using light as the communication medium.



 TINspire™
 TINspire™ CAS
 TINspire™ Navigator™
 TINspire™ Apps for iPad®

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How is light used to send text, images or sound? In this activity students convert a text message into binary code using the ASCII character map, the binary code is then used to oscillate an LED on the TIInnovator according to the strings of 1’s and 0’s corresponding to their text message. Even a relatively slow signal is difficult to read prompting students to consider the next stage of this project.



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 TINspire™ CAS
 TINspire™ Navigator™

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