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 TINspire.




1


The BBC micro:bit includes a 3axis accelerometer. In this activity, students use Python programming to access the accelerometer in the micro:bit and use it to transform a parabola.



 TINspire™ CX CAS
 TINspire™ CX

12


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!



 TINspire™ CX
 TINspire™ CX CAS

15


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 coprime 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.



 TINspire™ CX
 TINspire™ CX CAS

16


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.



 TINspire™ CX CAS
 TINspire™ CX

32


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.



 TINspire™ CX CAS
 TINspire™ CX

25


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.



 TINspire™ CX
 TINspire™ CX CAS

10


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.




10


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 TINspire file.



 TINspire™ CX CAS
 TINspire™ CX

15


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 TInspire files, this investigation has it all wrapped up!




21


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.



 TINspire™ CX CAS
 TINspire™ CX

12


This is the final stage of the investigation. Students should have acquired the necessary skills and ideas from Parts 1 and 2. The questions in this section are much more open ended allowing students to take a deep dive into the abundance of mathematical opportunities that lie amongst the various deeds, mortgages, capital improvement opportunities and more.



 TINspire™ CX
 TINspire™ CX CAS

8


In this component of the investigation, students explore the Return on Investment. (ROI). The first two properties on the board have an almost trivial rent, particularly compared to the last two, but their purchase price is also very different. Which properties have the best "Return on Investment"? How do you take into consideration that some property groups have more title deeds (squares on the board)?



 TINspire™ CX CAS
 TINspire™ CX

10


Exit Stage Left  refers to an uneventful departure making way for more interesting events. If you're an actress, you may forgiven for thinking the definition referred to youthful rather than interesting. In this activity students use parallel boxplots to compare the age at which actors and actresses receive Hollywood's most prestigious award.




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Students calculate arc length of functions and surface area as functions are rotated around the x and y axis.




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