Name ______Date ______Period ______
Graphing Calculator Activity #1:
Directions:
1. Graph each of the following systems of linear equations, one pair at a time, using your graphing calculator.Hit the " Y= " key and type in each equation in slope-intercept form.
Use the " X,T,,n " key to type the variable " x " in each equation.
Be sure to use parentheses where necessary to ensure that the calculator follows the correct order of operations.
2. Choose the ZStandard window found by pressing the ZOOM key, scrolling down to ZStandard then hitting the Enter key once the ZStandard is highlighted on your screen. You should see now see the graph for the system of linear equations, but if not press the Graph key.
3. To better view the graph, hit the ZOOM key and scroll down to choose the Zoom In function. Repeat if you want a better view of the system's solution.
4. Locate the solution, or point of intersection between the two linear equations, to the nearest hundredth.
Hit the 2nd key and then the TRACE key to view the "Calculate" options.
Choose intersect (and press the Enter key) to calculate the location of the solution of your system.
When you see the question "First curve?", notice where the cursor is and hit Enter.
When you see the question "Second curve?", make sure that the cursor is on the second line and hit Enter.
When you see the question "Guess?", notice where the cursor is and hit Enter.
The graphing calculator will then place the cursor on the solution and display the corresponding ordered pair at the bottom of the screen.
Write down the ordered pair, rounding each coordinate to the nearest hundredth. / 1.
answer: ( ______, ______)
2.
answer: ( ______, ______)
3.
answer: ( ______, ______)
4.
answer: ( ______, ______)
5.
answer: ( ______, ______)
6.
answer: ( ______, ______)
Graphing Calculator Activity #2:
Directions:
1. Enter the above three matrices into a graphing calculator.Hit the MATRX key and highlight the EDIT function, then highlight the letter that corresponds to the matrix you wish to enter.
Type in the dimensions of the matrix you wish to create, (the # of rows x # of columns) then hit enter.
Type in each matrix value, pressing ENTER after each entry. When finished entering all the values hit the 2nd key and then the MODE key in order to quit the function.
2. Calculate each matrix operation or determinant in the column to the right. Write your answers on a separate sheet, or on the back of this paper.
For #1, 5, 11, 13, 15, 17, type the symbols and numbers as usual. To insert the appropriate matrix label, press the MATRX key, highlight its letter, and hit ENTER. Then hit ENTER again to execute the calculation.
For #3, insert the matrix label and then hit the inverse button, X-1, on your calculator.
For #7 and #9, press the MATRX key and highlight the MATH function. Now select the det( function, and hit ENTER. Then insert the appropriate matrix labels to calculate the determinant of the product's result. / 1. -2A
3. A-1(inverse of matrix A)
5. AB
7. determinant of BC
9. determinant of CB
11. C + CA
13. (CB)2
15. A + BC
17. B + AB
Graphing Calculator Activity #3:
Directions:
Part 1:1. Graph each of the following inequalities using your graphing calculator.
Hit the APPS key and choose the "Inequalz" application.
Type in each inequality shown at the left, one at a time, using the " X,T,,n " key to type the variable " x ."
To choose the inequality symbol, press the green ALPHA key and then press the key under the appropriate inequality symbol shown at the bottom of the screen.
Hit the GRAPH key to view the graph that corresponds to the inequality.
2. Copy the graph for each of these inequalities onto graph paper using the TRACE key to locate ordered pairs. Don't forget to shade the appropriate side of the line for each graph!
Part 2:
1. Graph each of the following systems of inequalities using your graphing calculator.
Hit the APPS key, then scroll down to choose the "Inequalz" application.
Type in each inequality shown at the left, two at a time.
Hit the GRAPH key to view the graph that corresponds to the inequality.
2. Copy the graph for each of these systems of inequalities onto graph paper using the TRACE key to locate ordered pairs. Make sure that the region where the two shaded areas overlap is clearly marked on your graph. This region is the solution to the system of inequalities.
3. To quit "Inequalz", hit the APPS key and choose "Inequalz" then choose "Quit." / 7.
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Graphing Calculator Activity #4:
Directions:
1. Graph each of the following equations, one at a time, using your graphing calculator.Hit the " Y= " key and type in each equation in slope-intercept form.
Use the " X,T,,n " key to type the variable " x " in each equation.
2. Choose the ZStandard window found by pressing the ZOOM key. You should see now see the graph for the equation. If you do not see the graph, hit the WINDOW key andadjust the window by increasing the range of values for x and y until the graph becomes visible.
3. Copy the graphs for the first three equations (#4, 5, and 6) onto graph paper using the TRACE key to find ordered pairs.
4. Find the x-intercepts for each of the last six graphs (#7 - #12) and write your answers to the left.
Hit the 2nd key, then the TRACE key and choose the ZERO function.
A prompt asking for the "Left Bound" requests that you move the cursor along the curve to a point left of the x-intercept you are trying to locate. Move the cursor using the left and/or right arrow keys, then hit ENTER. Next, move the cursor to the right of the x-intercept and hit ENTER to indicate the "Right Bound." Hitting ENTER again will instruct the calculator to "Guess" the approximate location of the
x-intercept. (If an error occurs, repeat the process asking someone for help.)
5. Note: The same process described above can be used to locate minimum and maximum points on parabolas in addition to other polynomials. / 4.
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11. y = 0.3x2 - 0.225x - 0.068
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