Calculator Handbook. David Miller.

Transcription

1 Calculator Handbook by David Miller

2 Table of Contents Page # Topic Sections (for Beginning and Intermediate Algebra 3 rd Ed. by Martin-Gay) Basic Buttons on the Calculator >Frac, Adjusting Window, Zooms, Entry, 3 Resetting the Calculator, TblSet, Format, Split Screen, Ans Checking inequalities with "tests".7,9.1 4 Checking ordered pairs in equations Checking simplify problems using the table.1,5.,5.3,5.5,5.6,7.1,7.,7.3,7.4,7.7,10.4, Checking solve problems on HomeScreen.,.3 6 Checking solve problems using the., Intersection Method Complex Numbers, Evaluate Evaluate functions using the table 3.7,7.1, Evaluating Complex Numbers Factoring with the box, finding the 6.,6.3,6.4 missing terms Find the equation given points 3.6, Find the slope given points Finding x- and y-intercepts Functions, evaluate using the table 3.7,7.1, Graphing inequalities Graphing lines 3.,3.5, Graphing nonlinear functions Higher order roots Inequalities, checking with "tests".7,9.1 3 Inequalities, graphing Intersection, to find the solution to an.,.3,6.5,7.5,7.6,10.6,11.1,11., equation Lines, graphing 3.,3.5, Nonlinear Functions, graphing Ordered pairs, plotting 3.1, Plotting ordered pairs 3.1, Roots, Higher Order Simplify, checking using the table.1,5.,5.3,5.5,5.6,7.1,7.,7.3,7.4,7.7,10.4, Slope, find given points Slope-Intercept Form given points 3.6, Solve, checking problems on.,.3 6 HomeScreen Solving Solve problems with intersection.,.3,6.5,7.5,7.6,10.6,11.1,11., Solving Systems by graphing 4.1,4.5 1 Systems of Equations, solve by graphing 4.1,4.5 1 Using y= to help factor with the box 6.,6.3,6.4 x-intercept, finding y-intercept, finding

3 Calculator Handbook Basic Buttons Function Answer Button: The last answer displayed is stored in memory as Ans. Clear Memory: Clears the calculator memory. It will erase all programs, applications, and anything stored in memory. Display as a Fraction: The calculator will display any rational decimal as a fraction. Entry: Retypes the last line entered into calculator. Will return the last 30 entries if done repeatedly. Graph/Table: Will split the screen vertically between the Graph and Table to display both. Grid: Will put a grid on the graphing window. SplitScreen: Will split the screen horizontally between the Homescreen, Table, or Graph. Keystrokes,, Scroll down and push on G-T, Scroll down and push on GridOn Scroll down and push on Horiz 3

4 Example Problem: Solve: x 7 Checking Inequalities with Tests x 9 Checking the solution: True,, If the calculator displays 1, then it is true. If the calculator displays 0, then it is false. Example Problem: Checking Ordered Pairs in Equations Determine if (, 3) is a solution of x 4y= 14. ( ) 4( 3) = = 14 14= 14 True 4

5 Calculator Steps Example Problem: Checking Simplify Problems Using the Table 5x 4 Simplify ( ) 10x 10 on the calculator Type the problem in Y 1 Type the answer in Y 5

6 , to see the Table If the two Y columns are the same, then the answer is correct. Checking Solve Problems using the HomeScreen Example Problem: Solve: 3x 4= x+ 1 x= 5 Store 5 to the calculator memory Type the left side of the problem and push Type the right side of the problem and push If the two answers match, then the answer is correct. 6

7 Checking Solve Problems using the Intersection Method Example Problem: Solve: x x = x= 1, x= 5 Type the left side of the problem in Y 1 Type the right side of the problem in Y, **You have to see the graphs cross to get the answer!** Adjust Window if needed 7

8 If there s more than one answer repeat the last step, but before pressing the third time use the left/right arrow keys to move the cursor close to the other answer and then push time. the third The screen will say Intersection and below that it will say X= and the answer will be displayed. Evaluating Complex Numbers Sample Problem: Write i 1+ i in the form a + bi 4+ i 8

9 Put calculator into Imaginary Mode Scroll down and push a + bi on,,, Evaluate Functions using the Table Example Problem: Given = +, find ( 3) f x x x ( ) 3 f. f ( 3) = 0 9

10 ,, Scroll up or down until you find the appropriate x-value. The value in the Y 1 column will be the answer Finding the Equation Given Two Points Example Problem: Find the slope given the points ( 1,5 ),( 3,1 ) Equation: y= x+ 7 10

11 , Type in the ordered pairs (x s in L 1, y s in L ) a is the coefficient and b is the constant. Finding the Slope Given Two Points Example Problem: Find the slope given the points ( 1,5 ),( 3,1 ) Slope = - 11

12 , Type in the ordered pairs (x s in L 1, y s in L ) a is the slope. Example Problem: Find the x-intercepts for Finding x-intercepts y x x = + 3 ( 3,0 ),( 1,0),, 1

13 You need to see all the x-intercepts on the graph to be able to find them. (Adjusting the Window might be needed.) To find the second x-intercept Push,, Before pushing a 3 rd time push the arrows to the left or right to move the cursor close to the other x-intercept and then push the third time. The screen will say Intersection and display the x- and y-coordinates. 13

14 Sample Problem: Find the y-intercept for Finding y-intercepts y x x = + 3 ( 0, 3),, Scroll up/down using the arrows to the y-intercept 14

15 Graphing Inequalities Sample Problem: Graph the solution of the system of linear inequalities: y< 3x 4 y x+ Move the cursor to the left of Y 1 and push 3 times. Move the cursor to the left of Y and push 3 times. 15

16 Graphing Lines Example Problem: Graph y= 3x 16

17 Graphing Non-Linear Equations Graph y x = 3 Graph y= x, Graph 3 y= x 17

18 Higher Order Roots Sample Problem: Evaluate ,,, Plotting Ordered Pairs Example Problem: Plot: ( 1,5 ), ( 3,1 ) 18

19 , Type in the ordered pairs (x s in L 1 and y s in L ) Select the options as pictured by using the arrows and the button. Select a Window that will display the ordered pairs. 19

20 Scientific Notation Sample Problem: Write 45,000,000,000 in scientific notation Put calculator in Scientific Mode Scroll right and push Sci on, , 0

21 Solving Systems by Graphing Example Problem: Given y= x+ 1 and y= x 1, find the solution to the system of equations. (,3 ),, You have to see the intersection on the graph to get the answer. The ordered pair will be stated on the screen. 1

22 Using Y= to Help with Factoring using Grouping or the Box Sample Problem: Factor 3x + 13x 10 ( 3x )( x+ 5) Goal: To find numbers that have a product of -30 and a sum of 13.,, Scroll up and down the table until you find numbers that total 13. These are the numbers needed to factor by grouping or to use the box.