ADDs - graphics calculator programs

Generates two rays from a point and the user is then prompted to estimate the angle between them. Two possible levels of difficulty.

Program that simply determines the factors of a number.

The user is asked to estimate what percentage one number is of another number. Two levels of difficulty available.

The user is presented with a surd and is asked to give a decimal representation of it.

Excellent tool to promote mental computation (+, - and x). Three difficulty levels and then reports a score out of 10 and the time taken.

Version 2 - user enters answer
Version 3 - multiple choice

Simply finds the lowest common multiple.

Randomly generates simple numeric 2-step equations. Excellent for bridging the gap from arithmetic to algebra.

The user is presented with a randomly drawn straight line and is asked to estimate or calculate the gradient and y -intercept. Helps promote understanding the affects of changing values in the equation y = mx+b .

The user enters in a 3 by 3 or 3 by 4 matrix and then runs this program. The result is a the same matrix expressed in reduced row echelon form .

The old problem of moving water between a 5 litre jug and a 3 litre jug, to finish with precisely 4 litres.

Program that simply determines the prime factors of a number. Also has a game where the user must enter the prime of a given number.

Offers a visual challenge to the user to estimate the percentage of a bar that has been shaded. Three levels of difficulty available.

A game involving binary numbers. User picks a number between 1 and 15 and then the calculator picks the number.

Simply finds the greatest common divisor (highest common factor).

Generates numeric questions that are equivalent to an equation with pronumerals on both sides. Great challenge!

User secretly chooses a number. The calculator then tells the user to manipulate it and then guesses the final result. Kids will love it!

This program allows you to draw a graph, then choose an upper and lower bound to approximate the area beneath the curve 3 different ways. It uses left and right rectangles and then gives the best approximate.

Below are some excellent programs written to be used to teach a mathematical concept. The downloads contain many programs and you can read a brief description of them by clicking on the icons provided.

Programs by Barry Kissane . The source of most of these programs is Chapter 12 - Programming - in the book More Mathematics With A Graphics Calculator by Barry Kissane.  They are fairly short and intended to help you understand the basics of programming. See book for full details of programs.

• CALENDAR - returns the day of week from the date.
• FACTORS - finds set of prime factors of n for n > 10.
• DIFFLIST - stores differences of values in List1 into List2.
• BINPROB - makes binomial probability distribution table.
• MANDLBRT - draws user chosen part of Mandelbrot set.
• DISPLAY
• DIRECFLD - draws direction field for differential equation. Formula in Y1.
• D.E.PLOT - finds differential equation solution graphically using step method.
• SAMPLE
• ARCHIMED
• SAMPDIST
• COIN - 60 simulations of tossing coin n times. Number of heads in List1.
• CARDS - simulates collecting complete set of n cards. (Eg collector cards in cereal).

This set of programs allows the calculator to undertake tasks usually available only on more sophisticated calculators. The source of these programs is the book "Extend the capabilities of the Casio fx 7400G PLUS"(2000), written by Barry Kissane. This set contains the following programs and a complete free copy of the book is available to download above.

• CALENDAR - Gives the week day for any date and takes leap years appropriately into account.
• HERON - Uses the lengths of the 3 sides of a triangle to calculate the area.
• ZERO - Finds approximately a zero of a function.
• 2 X 2 EQ - solves a set of 2 simultaneous linear equations, given the coefficients of each.
• 3 X 3 EQ - solves a set of 3 simultaneous linear equations, given the coefficients of each.
• QUADEQTN - finds the roots of a quadratic equation, using the quadratic formula.
• INTRSECT - finds the coordinates of a point of intersection of the graphs of 2 functions.
• MINIMUM - finds the coordinates of a relative minimum of a function.
• MAXIMUM - finds the coordinates of a relative maximum of a function.
• SEARCH - searches systematically througha range of values in order to solve a problem.
• INTEGRAL - finds the area under a curve and above the x-axis between two points, using the integral of a function.
• DECIMAL - gives the decimal expansion of a fraction to as many decimal places.
• FACTORS - finds all the prime factors of a positive integer.
• DICE - simulates rolling a six-sided die.
• TWODICE - simulates rolling 2 six-sided die and the 2 die rolls are added each time to produce a score.
• COIN - simulates tossing a coin and counting how often a head is obtained
• FREQDIST - generates a frequency distribution from raw data.
• DIFFLIST - finds the first and second differences for a sequence.
• LONGRUN - illustrates what happens in the long run when events with a certain probability are generated.
• SRENSAMP - takes a simple random sample of a certain size from a population.
• NORMAL - generates values for areas between 2 values of a normal probability distribution with mean and standard deviation.
• BINOMIAL - simulates a binomial random variable, consisting of a number of trials each of which has the same probability of success.
• BINPROB - generates values for the binomial and cumulative binomial probability distributions.
• CMPNDINT - explores various compound interest situations involving a Principal, an Amount, an interest rate, a number of years of investment and a number of ompounding periods per year.

Programs by Barry Kissane. The source of most of these programs is Chapter 12 - Programming - in the book More Mathematics With A Graphics Calculator by Barry Kissane.  They are fairly short and intended to help you understand the basics of programming. See book for full details of programs.

• CALENDAR - returns the day of week from the date.
• FACTORS - finds set of prime factors of n for n > 10.
• DIFFLIST - stores differences of values in List1 into List2.
• BINPROB - makes binomial probability distribution table.
• MANDLBRT - draws user chosen part of Mandelbrot set.
• DISPLAY
• DIRECFLD - draws direction field for differential equation. Formula in Y1.
• D.E.PLOT - finds differential equation solution graphically using step method.
• SAMPLE
• ARCHIMED
• SAMPDIST
• COIN - 60 simulations of tossing coin n times. Number of heads in List1.
• CARDS - simulates collecting complete set of n cards. (Eg collector cards in cereal).

This set of programs by Charlie Watson of John XXIII College in Perth (1st Dec 97) - for the latest updates of these programs (as well as links to other classroom materials, go to his site:

• LINEAR - eqn of straight line from gradient and point or 2 points. (Now incorporates D2F for fractional coefficients).
• PBISECT - same as linear, only returns eqn of perpendicular bisector of 2 points.
• QUADS - eqn of parabola from 3 points.
• MARKS - enter max mark, then enter student mark(s) for conversion to % and finish with hi mark  to obtain class average.
• BORGS - works out aerobic exercise heart rate targets for given age, exercise intensity and level of fitness.
• D2F - Decimal to fraction converter... (Does it's best... you can tinker with the small program to make it better, but slower)
• CMPLXRT - finds all nth roots of complex number z.
• CMPLXPWR - find nth power of complex number z.
• EZ - evaluates ez where z is a complex number.
• TRIGSOLV - finds all solutions (exact answers where possible) to sin, cos, tan(A) = x over your chosen range. Choice of degrees or radians.
• AP - finds / solves / tabulates arithmetic progressions or series.
• GP - finds / solves / tabulates geometric progressions or series.
• NWTNRAPH - store f(x) in Y1, then program uses Newton-Raphson method to solve f(x) = 0, displaying ALL iterations after your suggestion for x.
• LINPRG - solves linear programming problems. Enter inequalities, objective function and that's it!
• POLYMULT - multiplies any two polynomials (any order) together.
• POLYDIV - divides any two polynomials, returning quotient and remainder.
• BINPROB - calculates probablilities associated with Bin(n,p). (Normal approx. option if np>5 and n(1-p)>5.)
• REACT - Collects up to 50 measurements of your reaction times and puts them into a list for statistical analysis. Depending on the level of analysis, this is suitable for Years 7 to 12.
• GUESS - Collects up to 50 student estimates of 5 seconds and puts them into a list for analysis. 
• MAV - Enter time series in lists 1 & 2 and this program returns moving averages (you choose no. of points), residuals, seasonal adjustsments, graphs, predictions, etc.
• TRAPRULE - Introduction to finding area beneath a curve using trapeziums. Store function in f1 first. Uses lists 1 to 3 for working.

• AMODEL - This program can be used as a tool for examining whether a particular function model is appropriate for the data. Users are able to check difference tables, successor ratios, and perform transformations on list variables such as log-log, semi-log, inverse, inverse squared, squared and cubed. You can also perform least square regressions on the data and view the graphs.
• BALLPATH - This simple program simulates the path of a ball (with assumptions), and calculates and displays the horizontal displacement of the ball after returning to earth.
• BIRTH - This program simulates the Birthday Problem, by using random integers, and reporting whether a duplicate birthday has been found.
• CORREL - This program helps students build their skills in estimating correlation coefficients from graphs of bivariate data. It can also be used as a source of data collection for student improvement on such skills.
• DRAWDERV - This is like the famous 'Green Globs', but for derivatives. It graphs the function in Y1, and then allows the user to plot points they predict would lie on the graph of its derivative function. When finished, it constructs the graph of the derivative function, so that the user can observe the closeness of their predictions.
• INTAREA - This provides a visual representation of the numeric integration approximations, such as left and right rectangles, midpoint and trapezoid rules. It also calculates these areas, and compares them to the internal calculation used by the calculator.
• LSREGR - A first principles approach to least squares regression, which helps students visualise how the algorithm works. Students then enter rules which minimise the sum of the square differences.
• NORMPROB - Visually constructs and calculates normal probabilities, for a user entered mu and sigma. Includes Pr(x>a),Pr(x<a),and Pr(a<x<b).
• QUAD1 - Simple quadratic solver, which only returns solutions if they are real. Designed to help students develop programming techniques.
• QUAD2 - An extension of QUAD2, designed to return complex solutions as well.
• SECANT - Illustration of how the gradient of a secant PQ approaches the gradient of the tangent at P as the value of h approaches zero. Also returns the tangent equation.
• WINDFIX - Windfix gives you the option of adjusting the Xmin and Xmax of the current viewing window so that the trace cursor increments in friendlier amounts (eg tenths). This is not always successful, but can be very useful.

User secretly chooses a number. The calculator then tells the user to manipulate it and then guesses the final result. Kids will love it!