Welcome to Solving Systems Using the TI-Nspire
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1 Welcome to Solving Systems Using the TI-Nspire Presented by: Julie Speelman Madeira High School Cincinnati, Ohio Please login to your calculators. Press the button. Select 5: Login
2 Agenda 1. Solving by Graphing 2. Solving by Substitution 3. Solving by Elimination Helpful tips for using the TI-Nspire and the Quick Poll functionality in all three of these areas.
3 Solving by Graphing y = 2x + 3 y = 2x + 7 By hand: Slope and Y-intercept TI-Nspire: Trace Points and Lines TI -Nspire Key Strokes 1: New Documnet Graphs (on the bottom) Type first equation into f1(x) Type second equation into f2(x) Menu 5: Trace Graph Trace You can type in the x-value Menu 7: Points and Lines 3: Intersection Points Move the mouse over one graph, click or press enter, move the mouse over the other graph and click or press enter. The coordinate of the intersection will appear. (I stay away form the Intersection Point when clicking on the graphs.)
4 Pretty fraction: Ctrl Divide By hand: Solving by Graphing y = 1 2 x + 4 y = x 1 2 Slope and Y-intercept TI-Nspire: Trace Points and Lines TI -Nspire Key Strokes 1: New Documnet Graphs (on the bottom) Type first equation into f1(x) Type second equation into f2(x) Menu 5: Trace Graph Trace You can type in the x-value Menu 7: Points and Lines 3: Intersection Points Move the mouse over one graph, click or press enter, move the mouse over the other graph and click or press enter. The coordinate of the intersection will appear. (I stay away form the Intersection Point when clicking on the graphs.)
5 1. Habits of Mind and Metacognition Quick Poll 2. Do you understand how to solve systems by graphing? 3. Example Problem Students are able to access anything on their calculator. To get back to the Quick Poll: C: Quick Poll 4. Were you correct when you rated your understanding? To submit your response: Press Ctrl Submit To review class responses: Click on class icon on the left side under the question. To review individual student s responses: Click on class icon in the menu bar under review toolbox
6 Solving by Substitution 2x + (x+3) = 9 2x + x + 3 = 9 3x + 3 = 9 2x = 6 x = 2 2x + y = 0 y = x + 3 y = x + 3 y = y = 5 1.By hand. 2.Use calculator for those students who struggle with Algebra (CAS). 3.Check by graphing. 4.Check by plugging in and getting a True or a False statement. (2, 5)
7 Solving by Substitution 3x 4y = 29 y = 2x + 1 3x - 4(2x + 1) = -29 3x - 8x - 4 = -29-5x - 4 = -29-5x = -25 x = 5 y = 2x + 1 y = 2(5) + 1 y = y = 11 (5, 11) 1.By hand. 2.Use calculator for those students who struggle with Algebra (CAS). 3.Check by graphing. 4.Check by plugging in and getting a True or a False statement.
8 1. Habits of Mind and Metacognition Quick Poll 2. Do you understand how to solve systems by substitution? 3. Example Problem Students are able to access anything on their calculator. To get back to the Quick Poll: C: Quick Poll 4. Were you correct when you rated your understanding? To submit your response: Press Ctrl Submit To review class responses: Click on class icon on the left side under the question. To review individual student s responses: Click on class icon in the menu bar under review toolbox
9 Solving by Elimination 2x + y = 10 x - y = 11 3x = 21 x = 7 2x + y = 10 x y = 11 x - y = y = 11 -y = 4 y = -4 1.By hand. 2.Use calculator for those students who struggle with Algebra (CAS). 3.Check by graphing. 4.Check by plugging in and getting a True or a False statement. (7, -4)
10 Solving by Elimination 5x + 3y = 22 x + y = 6 Multiply by -3 to get of the y or by -5 to get rid of the x. 5x + 3y = 22-3x - 3y = -18 2x = 4 x = 2 x + y = y = 6 y = 4 (2, 4) 1.By hand. 2.Use calculator for those students who struggle with Algebra (CAS). 3.Check by graphing. 4.Check by plugging in and getting a True or a False statement.
11 1. Habits of Mind and Metacognition Quick Poll 2. Do you understand how to solve systems by elimination? 3. Example Problem Students are able to access anything on their calculator. To get back to the Quick Poll: C: Quick Poll 4. Were you correct when you rated your understanding? To submit your response: Press Ctrl Submit To review class responses: Click on class icon on the left side under the question. To review individual student s responses: Click on class icon in the menu bar under review toolbox
12 Questions?
13 Thank you for coming!
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