Welcome to Solving Systems Using the TI-Nspire Presented by: - PowerPoint PPT Presentation

Welcome to Solving Systems Using the TI-Nspire Presented by: Julie Speelman Madeira High School Cincinnati, Ohio jspeelman@madeiracityschools.org Please login to your calculators. Press the Home button. Select 5: Login

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.

Solving by Graphing TI -Nspire Key Strokes y = 2 x + 3 Home 1: New Documnet y = − 2 x + 7 Graphs (on the bottom) Type first equation into f1(x) Type second equation into f2(x) • By hand: Menu 5: Trace • Slope and Y-intercept Graph Trace You can type in the x-value • TI-Nspire: Menu 7: Points and Lines • Trace 3: Intersection Points Move the mouse over one graph, click or press enter, • Points and Lines 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.)

Pretty fraction: Solving by Graphing Ctrl Divide TI -Nspire Key Strokes y = − 1 2 x + 4 Home 1: New Documnet y = x − 1 Graphs (on the bottom) 2 Type first equation into f1(x) Type second equation into f2(x) • By hand: Menu 5: Trace • Slope and Y-intercept Graph Trace You can type in the x-value • TI-Nspire: Menu 7: Points and Lines • Trace 3: Intersection Points Move the mouse over one graph, click or press enter, • Points and Lines 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.)

Quick Poll To submit your response: 1. Habits of Mind and Metacognition Press Ctrl Home 2. Do you understand how to solve systems by graphing? Submit 3. Example Problem To review class responses: • Students are able to access anything on their Click on class icon on the left side calculator. under the question. • To get back to the Quick Poll: To review individual student’s Home responses: C: Quick Poll Click on class icon in the menu 4. Were you correct when you rated your understanding? bar under “review toolbox”

Solving by Substitution 1.By hand. 2 x + y = 0 2.Use calculator for those students who y = x + 3 struggle with Algebra (CAS). 3.Check by graphing. 2x + (x+3) = 9 y = x + 3 4.Check by plugging in and getting a 2x + x + 3 = 9 y = 2 + 3 3x + 3 = 9 True or a False statement. y = 5 2x = 6 x = 2 (2, 5)

Solving by Substitution 3 x − 4 y = − 29 1.By hand. y = 2 x + 1 2.Use calculator for those students who struggle with Algebra (CAS). 3x - 4(2x + 1) = -29 3.Check by graphing. 3x - 8x - 4 = -29 -5x - 4 = -29 4.Check by plugging in and getting a -5x = -25 True or a False statement. x = 5 y = 2x + 1 y = 2(5) + 1 (5, 11) y = 10 + 1 y = 11

Quick Poll To submit your response: 1. Habits of Mind and Metacognition Press Ctrl Home 2. Do you understand how to solve systems by substitution? Submit 3. Example Problem To review class responses: • Students are able to access anything on their Click on class icon on the left side calculator. under the question. • To get back to the Quick Poll: To review individual student’s Home responses: C: Quick Poll Click on class icon in the menu 4. Were you correct when you rated your understanding? bar under “review toolbox”

Solving by Elimination 2 x + y = 10 1.By hand. x − y = 11 2.Use calculator for those students who struggle with Algebra (CAS). 2x + y = 10 x - y = 11 3.Check by graphing. x - y = 11 7 - y = 11 3x = 21 -y = 4 4.Check by plugging in and getting a x = 7 y = -4 True or a False statement. (7, -4)

Solving by Elimination 5 x + 3 y = 22 1.By hand. x + y = 6 2.Use calculator for those students who struggle with Algebra (CAS). Multiply by -3 to get of the y 3.Check by graphing. or by -5 to get rid of the x. 4.Check by plugging in and getting a 5x + 3y = 22 x + y = 6 -3x - 3y = -18 2 + y = 6 True or a False statement. 2x = 4 y = 4 x = 2 (2, 4)

Quick Poll To submit your response: 1. Habits of Mind and Metacognition Press Ctrl Home 2. Do you understand how to solve systems by elimination? Submit 3. Example Problem To review class responses: • Students are able to access anything on their Click on class icon on the left side calculator. under the question. • To get back to the Quick Poll: To review individual student’s Home responses: C: Quick Poll Click on class icon in the menu 4. Were you correct when you rated your understanding? bar under “review toolbox”

Questions?

Thank you for coming!