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Classroom Activities
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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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0
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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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2
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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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3
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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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4
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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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6
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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.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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2
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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)?
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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4
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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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6
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The focus of this activity is to help build conceptual understanding of transformations. This activity includes three video tutorial links, an interactive TI-nspire file, student questions, teacher answers, notes and recommendations. Students build an intuitive understanding of transforming points, a plane and ultimately simple functions all through a very visual and numeric environment. Students then use matrices and build understanding of the importance of the determinant.
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- TI-Nspire™ CX
- TI-Nspire™ CX CAS
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6
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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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4
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This classic problem challenges many students. What better way to explore it than a simulation? Once students work through the simulation, they are more open to working through the logic of the unexpected outcome. The Monty Hall problem is a must for all Methods students as they learn to dig deeper when it comes to investigating probabilities.
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- TI-Nspire™ CX CAS
- TI-Nspire™ CX
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12
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A probability function may be represented as a formula (usually an equation), a table or a graph. In this activity, you will use interactive graphs in TI-Nspire CAS to explore the effect that changing the value of a parameter (a number describing some characteristic of the distribution) has on the graph of that probability function.
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8
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Students approximate the gradient of a function using the Central Difference method and approximate area under a curve using a series of trapeziums.
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11
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This activity focuses on graphs of probability density functions for continuous random variables, including the normal and standard normal distributions.
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6
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Beyond sliders and memorising, students need a good understanding of the reasoning behind transformations. This activity is the third part in the series, focusing on the algebra behind reflections, plus a review of parts one and two.
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5
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