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

4


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

1


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



 TINspire™ CX
 TINspire™ CX CAS

2


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

2


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.




5


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

6


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

5


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

1


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™

3


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

3


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

12


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

6


This instructional worksheet covers the use of the TVM Solver and construction and interpretation of Amortisation Tables. Students can see the impact of additional repayments early in a mortgage by using a combination of the TVM Solver and the Amortisation Table.



 TINspire™ CX
 TINspire™ CX CAS

8


This activity is designed for students completely new to TInspire. No mathematical knowledge is required to complete this task. Students complete a crossword puzzle where the clues relate to application menus and the answers are the menu items. The activity helps students navigate TINspire and become familiar with the menus.




14


Students start by considering the motion of a point on the wheel of a bicycle. With the aid of interactive diagrams in the TINspire document, students go on to explore the case when the wheel rotating inside another resulting in a hypocycloid. Students generate the parametric form of the equation, use compound and double angle formulas to generate the equivalent Cartesian equations and use calculus to analyse features of the curves, including gradient and arc length.




9

