This is part three of a four part series. In this activity students find the points of intersection between consecutive straight lines. (Simultaneous Equations). Students use a range of techniques: byhand, graphically and using CAS. Students then formulate equations to summaries the consecutive points of intersection.



 TINspire™ CX CAS
 TINspire™ CAS

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This is part two of a four part series. In this activity students are given two points that lie on a straight line, they determine the equation for each line that eventually forms a curved envelope that forms a parabola. In the second half of this activity students learn to use a parameter so that the family of graphs can be generated using a single equation.




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This is part one of a four part series. In this activity students use the gradient and intercept form of a straight line to form a curved envelope similar to that found on the Chords bridge. In the second half of this activity students learn to use a parameter so that the family of graphs can be generated using a single equation.




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Median smoothing, more interesting than your average graph. While most median smoothing questions relate to graphs, this activity focuses on an application embedded in digital image enhancement. Students are supplied with a digital image of an old photograph. The original photograph has deteriorated but can be automatically improved by applying various levels of median smoothing. Check it out!



 TINspire™ CX CAS
 TINspire™ CX

7


Have you ever wondered how a car reverse sensor works? In this activity you will build a reverse sensor that provides audible and visual signals when an object becomes too close.



 TINspire™ CX
 TINspire™ CX CAS

0


What is a Stem and Leaf plot and how can you generate them on your TInspire? This activity includes a range of data that can be plotted on Stem and Leaf plots. Students are required to extract a range of information from the plot and discuss the benefits of this representation and also the limitations.



 TINspire™ CX CAS
 TINspire™ CX

19


You won't believe your eyes. How is this possible. This is an amazing sequence. Students use some basic coding to generate a sequence in order to expedite calculations. The result is really cool. You have to try the activity to see the result.



 TINspire™ CX CAS
 TINspire™ CX

13


An interesting question, so many ways to solve it. The question sheet (provided) includes scaffolding to help students solve the problem, however teachers are also encouraged to let students explore the problem. A simple geometric solution exists, but the problem is equally solvable using calculus. Students studying Specialist Mathematics also may like to use implicit differentiation, alternatively, some simple geometry can again be applied. So many ways to solve it.




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John Napier created logarithms to help speed up multiplication, he achieved this by turning multiplication into addition via logarithms. Understanding how this works can help students understand why logarithms were created, how and why we use them. A combination of a virtual slide rule, graphs and tables help students understand logarithms.



 TINspire™ CX
 TINspire™ CX CAS

7


Students learn basic programming commands to drive the TIRover, drawing shapes such as squares, circles, regular triangles and stars. In addition to the coding skills, students also learn to be persistent and resilient problem solvers. Through trial and error, students use the results of their program to refine and improve their result.



 TINspire™ CX CAS
 TINspire™ CX

14


This is a basic activity designed to introduce students to coding with the TIRover. The activity is a great precursor to Rover Geometry.A complementary outcome is student persistence for irresolution. If at first they don't succeed, students simply try and try again; each time learning from their previous efforts.




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Consul the Educated Monkey was a mechanical toy from 1916. The toy relied on geometric properties to perform the multiplication tables. In this activity students use a virtual representation of the toy to analyse and explain how the geometry works and apply new ideas for other applications.



 TINspire™ CX
 TINspire™ CX CAS

14


A circumcircle is a unique circle that passes through all three of a triangle's vertices. In this activity students start with the geometrical entity and then transfer this to the Cartesian plane where they determine equations to lines (given two points), equations to lines (given point and gradient), intersection of two lines and finally the equation to a circle. Once students have completed the prescribed points they are required to come up with their own three points, a TInspire teacher file generates all the required equations given three starting points.



 TINspire™ CX
 TINspire™ CX CAS

6


A triangle is formed such that two vertices are on the base of a unit square and the third vertex somewhere within the square. What is the probability that the angle at this third vertex will be greater than 90 degrees? A diagram helps to provide a visual, the interactive nature of the TInspire file makes it easy for students to explore, estimate the probability and determine a geometrical approach to solving the problem.



 TINspire™ CX
 TINspire™ CX CAS

7


Students use calculus to determine the maximum size of the iris (circle) that just fits inside an outline of the eye defined by two bell shaped curves. The activity uses some basic differential calculus, introduces simple substitutions to eliminate variables and handy techniques for simplifying problems. The problem is much easier than it looks!



 TINspire™ CX CAS
 TINspire™ CX

5

