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Classroom Activities
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In Part Three of this activity series, students unravel cryptic clues that move the one step further on the mathematical bridge connecting the ancient world of Pythagoras with Fibonacci. Students progressively uncover the fascinating realm of continued and infinite fractions, connecting the rational and irrational worlds. Discover how simple ratios can evolve into infinite complexity.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CAS
- TI-Nspire™ CX
- TI-Nspire™
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1
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The investigation deepens as students continue their quest to uncover the connections between the Pythagoras’s theorem, the Pythagorean Circle and infamous Fibonacci sequence that will appear centuries later. In this episode students discover irrational secrets, numbers that can’t be tamed or fully expressed. While the Babylonians provide a numerical entry point, the hauntingly elusive square roots threaten to expand the number system.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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1
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Prepare for an adventure filled with ancient knowledge and mathematical intrigue! Your journey begins with the enigmatic Pythagoras and the secrets hidden within his famous theorem. This activity is Part 1 in a series that aims to build a basic understanding of this famous theorem and also links with the Fibonacci sequence in an engaging manner.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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6
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Students produce three relatively simple proofs relating to randomly generated chords in a cirlce. The problem is that the three proofs produce three different results. Can you solve this chord conundrum?
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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1
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A short investigation involving squares and triangles that leads to simple proof of Pythagoras's theorem. A beautiful illustration of the power of the Geometry environment and CAS functionality of TI-Nspire.
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5
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The BBC micro:bit includes a 3-axis accelerometer. In this activity, students use Python programming to access the accelerometer in the micro:bit and use it to transform a parabola.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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14
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This activity is part 4 of the module "Code by Numbers" which can be downloaded as a complete booklet from the STEM section of the website. In this activity students explore the set of numbers that possess more factors than all their predecessors, Highly Composite Numbers. Students incorporate some of their previous programs and algorithms to build a program that automatically finds Highly Composite Numbers. These numbers are rich for investigation, and are still be explored to this day!
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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15
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This activity is part of the module "Code by Numbers" which can be downloaded as a complete booklet from the STEM section of the website. In this activity students explore the Euler Totient function, it sounds complicated, it's not, just really neat! The function determines the quantity of numbers that are co-prime up to the selected number (n). Students write some relatively simple code, chunking previous code to simplify the algorithm. There are so many observable patterns when studying the Euler Totient function for a set of numbers. Finally, students see a short cut method to perform the calculation. It's absolutely brilliant.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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17
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This activity is part of the module "Code by Numbers" which can be downloaded as a complete booklet from the STEM section of the website. In this activity students use one of the oldest mathematical algorithms and turn it into a Python program. The algorithm efficiently determines the highest common factor of two numbers. Students see how prime factorisation can also be used.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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33
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This activity is part of the module "Code by Numbers" which can be downloaded as complete booklet from the STEM section of the website. In this activity students explore the prime factorisation of a number and the total factor count with a view to establishing a rule to determine the quantity of factors for any number, based on the prime factorisation. Students write a program to determine the quantity of factors.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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26
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There are several ways you can work out the volume of a watermelon. This activity explores three different ways and in the process, improves student understanding of the approximation approach (slices) and the calculus formula.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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12
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There are several ways you can work out the volume of a watermelon. This activity explores three different ways and in the process, improves student understanding of the approximation approach (slices) and the calculus formula.
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10
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Students use interactive content to investigate the six trigonometric functions: sine, cosine, tangent, secant, cosecant, cotangent, including relationships between each. The unit circle animation helps build the relationships, which they derive and prove. The second stage of the investigation has students building relationships for double angle formulas, thanks to a series of visual prompts. The Word document can be edited to suit your needs, so too the companion TI-Nspire file.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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17
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Turn your name into a Polynomial. Are there any two names that share the same polynomial? Students explore names and polynomials, including what happens to palindromic names, what degree is their polynomial? This investigation is provided as a Word document for teachers to edit and customise for their students. A PowerPoint slide show is ready to go, suggested answers and TI-nspire files, this investigation has it all wrapped up!
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21
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How accurately do movies, television and other media represent age and gender? This investigation includes data from the Academy Awards, Logies and AACTA awards for the ages of actors and actresses. Students construct parallel bloxplots and scatterplots in order to analyse and compare the data sets. Students are then encouraged to research other platforms. There are numerous websites and organisations that also have information. The activity is provided as a Word document so you can add or removed content to suit your needs.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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13
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