Download programs

AFFINE
Draw pictures and perform affine linear transformations and linear transformations by entering matrix elements.

ANGLE
Random angles on a 3x3 pinboard

AREALEFT, AREAMID, AREART, AREATRAP or AREASIMP
Estimate area below curve by left rectangle, mid rectangle, right rectangle, trapezoid and Simpson's method.

• Go to the Y= editor and enter equation as Y1.
• Draw graph with suitable WINDOW.
• Run the program.
• Enter lower limit A and upper limit B.
• Enter number of intervals N.
• Use GRAPH to see rectangles or trapezoids.
• Read estimate of area from the home screen.

• Enter the number of trials N and the probability of success P.
• Use TRACE to read individual probabilities from the graph.
• Press STAT / Edit ... to see table of individual probabilities (L1) and cumulative probabilities (L2).

• Enter the number of trials N, the probability of success P, L the smallest value of X and U the largest value of X.
• The graph shows the binomial probabilities plotted as rectangles of width 1 and the normal curve with mean NP and standard deviation Ö(NPQ).
• Use the cursor keys to move around the graph. Consider how well the normal distribution approximates to the binomial distribution.

• Go to the Y= editor and enter f(x) as Y1.
• Run the program.
• Enter lower limit A and upper limit B.
• Press ENTER to see reducing interval.

• Enter roots (real or complex).
• Program produces coefficients of polynomial equation (?x⁴+?x³+?x²+?x+?=0).

• Enter starting number.

DIRECT4
Multiplication practice with positive and negative numbers.

DIRECT5
Mixed addition/subtraction/multiplication practice with positive and negative numbers.

EGYPT
Egyptian fraction calculator.

• Enter numerator and denominator.
• Press ENTER to see each unit fraction.

• Enter value for x.
• Press ENTER to see each term in the sequence and the sum.

Calculate series for e^x where x is a complex number.

• Choose rectangular or polar mode.
• Enter value for x.
• Press ENTER to see each term in the sequence and the sum.

GAUSS
Solve systems of linear equations by row operations on the augmented matrix. Create random problems. See step by step presentation of the Gauss-Jordan method.

GRAPHADD
Program plots two random cubic graphs and a third graph chosen from
Y1+Y2, Y1-Y2, Y2-Y1, 2Y1+Y2, 2Y1-Y2, ½(Y1+Y2).

• Look at graphs and decide which of the six possibilities applies to the third graph.
• Check answer by going to the Y= editor.

• Look at the graph.
• Go to the Y= editor and enter your equation as Y2.
• Use TABLE or GRAPH to check if you are correct.
• QUIT and ENTER for a new graph.
• Work through the levels 1-6.

• Use in order LIKE1, LIKE2, LIKE3.

• Run the chosen program (LINE1 is easier than LINE2).
• Look at the graph.
• Go to the Y= editor and enter your equation as Y2.
• Use TABLE or GRAPH to check if you are correct.
• QUIT and ENTER for a new graph.

• Run the program.
• Choose level of difficulty (1-3).
• Go to the Y= editor and enter your equations.
• Use GRAPH to check for hits.

• Enter the mean and standard deviation of the distribution.
• Use TRACE to investigate the graph of the probability density function.
• Use CALC / 7: ò f(x) dx to find a probability as the area under the curve.
• To remove shading - use DRAW / ClrDraw (tick marks disappear) or run the program again.

ORBIT
Plot orbits of 0 for the recursive relation z->z²+c

• Enter value of c (real or complex).
• Press ENTER to plot points.

POISNORM
Normal approximation to the Poisson probability distribution

• Enter the mean M.
• The graph shows the Poisson probabilities plotted as rectangles of width 1 and the normal curve with mean M and standard deviation Ö(M).
• Use the cursor keys to move around the graph. Consider how well the normal distribution approximates to the Poisson distribution. What is the effect of increasing the mean M?

POISSON
Poisson probability distribution - graph and table

• Enter the mean M.
• Use TRACE to read individual probabilities from the graph.
• Press STAT / Edit ... to see table of individual probabilities (L1) and cumulative probabilities (L2).

QUADFORM
Solve a quadratic equation ax² + bx + c = 0.

• Enter values a, b, c.
• The program gives complex solutions where appropriate.

RELA, RELB, RELC or RELD
Investigate relations

• Each program represents a relation – enter a value for x and receive a value for y. Identify the domain, range, equation and graph of each relation.

SEQ
Enter a number. If even, then divide by 2. If odd, multiply by 3 and add 1.

• Enter a starting number for the sequence.
• Sequence finishes when 1 is obtained.

STAR
Mark a number of points round a circle and draw a star (pass the ball game).

• Enter the number of points.
• Enter the number of points to the right to which lines are drawn.

STICK
Translate and dilate the stick person.

• Enter f, the x dilation factor.
• Enter g, the y dilation factor.
• Enter h, the x translation amount.
• Enter k, the y translation amount.

SYMMETRY
Make designs with reflective symmetry (1, 2 or 4 lines) or rotational symmetry (order 2 or 4).

• Draw the design by entering points in order.

TRANSFRM
Draw a picture and transform it – translation, reflection, rotation, dilation, enlargement.

• Draw the picture by entering points in order.

TRIANGLE
Solve any triangle including the ambiguous case (based on a program by Ben Axelrod).

TRIG
Find the equation for the graph of a random periodic function.

• Choose cosine or sine function.
• Look at the graph.
• Go to the Y= editor and enter your equation as Y2.
• Use TABLE or GRAPH to check if you are correct.
• QUIT and ENTER for a new graph.
• Work through the levels 1-11.

UNITCIR1
Trace the unit circle and see a table of cosine and sine values.

• Choose radians or degrees.
• Choose the step for the angle.

UNITCIR2
Investigate the relationship between the unit circle and the cosine and sine graphs.

• Choose cosine or sine function.
• Trace points on unit circle and cosine/sine graph.

graphing calculators page - additional resources