Basic cruise control is where the car's computer automatically adjusts the throttle so that the car maintains a constant speed. Adaptive cruise control responds to the car's surrounds, in particular slowing down or accelerating as applicable when the vehicle in front changes it's speed. In this activity students will program the TIInnovator Rover to respond accordingly when a vehicle or object in front of it changes position.



 TINspire™ CX
 TINspire™ CX CAS

25


Driverless vehicles have the potential to no only change the way we commute but the way we go about our daily lives. All journeys start with a single step. The first step in this activity it determining the best equation for a driverless vehicle to use to safely exit a parking space. Students use trigonometric functions, polynomials and piecewise functions to build the optimum curve, then test it for real using a TIRover.



 TINspire™ CX CAS
 TINspire™ CX

16


The Golden Ratio and its association with the Fibonacci sequence is well known, but there is much more to explore. Variants of the Fibonacci sequence of the form t(n+2)=t(n)+a.t(n+1) also generate specific ratios. For a = 2 the ratio is referred to as the Silver Ratio, for a = 3 the bronze ratio, and in general, the metallic ratios. This activity explores these different ratios and compares the properties to the case where a = 1, the Golden Ratio.



 TINspire™ CX CAS
 TINspire™ CX

1


Students explore the traditional Paving Problem in order to establish a rule relating the quantity of pavers for garden beds of a specified size. This resource however takes this activity to the next level! Three different animations are available for students to explore, each one helps students visualise a different formulation of the rule relating specific characteristics of the pattern and their formula. A new garden bed shape is then provided for students to apply what they have learnt.



 TINspire™ CX
 TINspire™ CX CAS

5


Golf driving distances have increased as technology, player athleticism and technique have improved. If the trend continues this will cause problems for golf courses as some holes become easier. Students use data to see how much driving distances have changed for PGA and LPGA players. The data is then used to make and check predictions and consider the consequences. Should new reduced distance golf balls be introduced?



 TINspire™ CX
 TINspire™ CX CAS

4


In this activity students use scientific notation to compare populations, state land areas and the corresponding population density.



 TINspire™ CX
 TINspire™ CX CAS

4


Students use their TINspire to graph the antiderivative of a function and investigate aspects of the this function and how it relates to the primitive function. For example, if a continuous derivative function changes from negative to positive, what does this produce on the primitive function? How is that different if the derivative function changed from positive to negative?



 TINspire™ CX
 TINspire™ CX CAS

4


Students are provided with 10 pairs of equations to solve by elimination with the assistance of sliders and a premade template to make the process easier to understand. Reducing the number of steps makes the concept easier to understand so that focus can be cast upon the coefficients in the equations.
An extension option includes solving equations with three variables including the 3D representation of the successive results as the intersection of planes, lines and points.




8


Can you beat the calculator? Players take it in turns to select numbers from the grid. You score the number you selected, your opponent automatically scores the sum of the remaining factors. Don't choose an abundant number! Think carefully and select wisely. Highest score wins. Try taking on the calculator as your opponent!



 TINspire™ CX
 TINspire™ CX CAS

10


Students manipulate two vectors as the corresponding dot product of the vectors is displayed graphically on the same page. By exploration students are able to explore the factors that affect the dot product, the conditions for which it is positive, zero and negative.



 TINspire™ CX
 TINspire™ CX CAS

9


Students explore the concept of 'centre' using a range of familiar shapes. The dynamic geometry environment on TINspire is then used to construct a triangle. Using the perpendicular bisector tool students locate the circumcentre of the triangle then use congruent triangles to establish a proof.



 TINspire™ CX
 TINspire™ CX CAS

2


Electronic auto correcting assessment for the Australian Mathematics Curriculum Standard ACMNA182 using the TINavigator system including a companion PDF of the same.



 TINspire™ CX
 TINspire™ CX CAS
 TINspire™ Navigator™

4


Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(x) and f(x).



 TINspire™ CX
 TINspire™ CX CAS

4


A wealth of freely available videos are available to introduce this activity. Students then explore a Fermi question with a view to estimating the quantity of single use water bottles that are disposed of annually in Australia. This quantity is then used to estimate the mass and volume of plastic and consider how deep this pile of plastic would be if it covered the school.



 TINspire™ CX
 TINspire™ CX CAS

17


Instructional worksheet to help students understand the TVM (Time  Value  Money) finance solver on TINspire. Explanations include when entries should be positive / negative, how to write percentages and the meaning behind each of the entries.



 TINspire™ CX
 TINspire™ CX CAS

11

