Graphing Calculator Activity #1



Graphing Calculator Activity #1:

Directions:

|1. Graph each of the following systems of linear equations, one pair at a time, | | |

|using your graphing calculator. | |1. [pic] |

| | | |

|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. | |answer: ( ______ , ______ ) |

|Be sure to use parentheses where necessary to ensure that the calculator follows | | |

|the correct order of operations. | |2. [pic] |

| | | |

|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 | |answer: ( ______ , ______ ) |

|screen. You should see now see the graph for the system of linear equations, but | | |

|if not press the Graph key. | |3. [pic] |

| | | |

|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. | |answer: ( ______ , ______ ) |

| | | |

|4. Locate the solution, or point of intersection between the two linear equations,| |4. [pic] |

|to the nearest hundredth. | | |

| | | |

|Hit the 2nd key and then the TRACE key to view the "Calculate" options. | |answer: ( ______ , ______ ) |

|Choose intersect (and press the Enter key) to calculate the location of the | | |

|solution of your system. | |5. [pic] |

|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 | |answer: ( ______ , ______ ) |

|second line and hit Enter. | | |

|When you see the question "Guess?", notice where the cursor is and hit Enter. | |6. [pic] |

|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. | |answer: ( ______ , ______ ) |

Graphing Calculator Activity #2:

[pic] [pic] [pic]

Directions:

|1. Enter the above three matrices into a graphing calculator. | | |

| | |1. -2A |

|Hit the MATRX key and highlight the EDIT function, then highlight the letter that | | |

|corresponds to the matrix you wish to enter. | | |

| | |3. A-1 (inverse of matrix A) |

|Type in the dimensions of the matrix you wish to create, (the # of rows x # of | | |

|columns) then hit enter. | | |

| | |5. AB |

|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. | |7. determinant of BC |

| | | |

|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. | |9. determinant of CB |

| | | |

|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 | |11. C + CA |

|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 | |13. (CB)2 |

|calculator. | | |

| | | |

|For #7 and #9, press the MATRX key and highlight the MATH function. Now select the| |15. A + BC |

|det( function, and hit ENTER. Then insert the appropriate matrix labels to | | |

|calculate the determinant of the product's result. | | |

| | |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 | |7. [pic] |

|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. | |9. [pic] |

|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 | |11. [pic] |

|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 | |4. [pic] |

|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. | |6. [pic] |

| | | |

|3. To quit "Inequalz", hit the APPS key and choose "Inequalz" then choose "Quit." | | |

| | |8. [pic] |

Graphing Calculator Activity #4:

Directions:

|1. Graph each of the following equations, one at a time, using your | | |

|graphing calculator. | |4. [pic] |

| | | |

|Hit the " Y= " key and type in each equation in slope-intercept form. | |5. [pic] |

|Use the " X,T,(,n " key to type the variable " x " in each equation. | | |

| | |6. [pic] |

|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 and adjust the window by increasing the range of values | |7. [pic] |

|for x and y until the graph becomes visible. | | |

| | |roots: |

|3. Copy the graphs for the first three equations (#4, 5, and 6) onto | | |

|graph paper using the TRACE key to find ordered pairs. | |8. [pic] |

| | | |

|4. Find the x-intercepts for each of the last six graphs (#7 - #12) and | |roots: |

|write your answers to the left. | | |

| | |9. [pic] |

|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 | |roots: |

|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 | |10. [pic] |

|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 | |roots: |

|the calculator to "Guess" the approximate location of the | | |

|x-intercept. (If an error occurs, repeat the process asking someone for | |11. y = 0.3x2 - 0.225x - 0.068 |

|help.) | | |

| | |roots: |

|5. Note: The same process described above can be used to locate minimum | | |

|and maximum points on parabolas in addition to other polynomials. | |12. [pic] |

| | | |

| | |roots: |

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