TI 84 Plus techniques – JC A Level H2 Math Tuition Singapore

Vector addition/subtraction using GC

Using GC to find range of values of p in Binomial Distribution

A course takes in exactly 10 students. On average, a student has p% chance of achieving a distinction.

Given that the probability 7 students scoring distinction is greater than the probability of any other number of students scoring distinction, find the possible range of values of p.

Solution

Since the question did not ask for exact values of p, we can use the GC to solve this question.

We are looking at where the blue graph is above the red and black graph.

Hence 63.6<p<72.7

Useful GC skill in binomial distribution

Finding range of composite functions using GC

Finding range of composite functions using gc

How to sketch both cartesian and parametric graphs on the same diagram using GC

Example

DHS 2018 J1 Aug test

Suppose we want to sketch the curve C and the line y=-2x+2 on the same graph

DHS 1

Note how the line y-2x+2 is entered. DHS 2

Adjust the Tmax to 1% more so the graph displays correctly. DHS 3

Sketching Periodic functions with GC

Periodic function 0 sketch from -3 to 8

Suppose we want to sketch the graph from -3 to 8.

Enter by pressing “Math, Piecewise”.

periodic function 1

2. Adjust the window setting to the required domain.

Periodic function 2

3. Trace the end point at -3 since it is not 1 complete cycle.

Periodic function 3

Functional differences between TI 84 Plus CE and TI 84 Plus C for h2 maths

The following comparison are based on

TI 84 CE: Operating system 5.3.0

TI 84 Plus C: Operating system 4.2

Singapore Approved Operating System

Division of complex numbers in TI 84 Plus CE can be entered in fractions, whereas it must be entered using division in TI 84 Plus C

. $complex number division using fraction$

Piecewise function is now available in TI 84 Plus CE. This command can be found under MATH B: piecewise ( . Piecewise function can also be created manually in TI 84 Plus C but slightly more tedious.

piecewise function compared with TI 84 plus C

New CONDITIONS submenu in “2nd test” allows faster entry of intervals for the piecewise functions

piecewise logic

Inverse binomial distribution and inverse norm enhancement in TI 84 CE

TI 84 CE inverse binomial and inverse norm

Ti 84 ce inverse norm

Store tangent and faster access to n/d template in TI 84 CE

$Store tangent and faster access to fraction template$

Conclusion

There are no major functional differences between TI 84 Plus CE and TI 84 Plus C. For piecewise functions, students should learn how to sketch manually without using the GC.

Using GC to calculate Expectation and Variance of Discrete Random Variable

Example 1

question

Solution

Enter the data in the GC as follows:

result

result 1

Variance can also calculated using the GC as follows:

Example 2

RI 18 J2 MYE 13i

GC setting for faster graph plot

Method 1: Change Xres to 3

The Xres button refers to pixel resolution (1 through 8). At Xres = 1, functions are evaluated and graphed at each pixel on the x-axis. At Xres = 8, functions are evaluated and graphed at every eighth pixel along the x-axis. Small Xres values improve graph resolution but may cause the calculator to draw graphs more slowly. Setting Xres to 3 provides good balance between speed and resolution.