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

• By hand:
• Slope and Y-intercept
• TI-Nspire:
• Trace
• Points and Lines

TI -Nspire Key Strokes Home 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.)

y = −2x + 7 y = 2x + 3

Solving by Graphing

• By hand:
• Slope and Y-intercept
• TI-Nspire:
• Trace
• Points and Lines

TI -Nspire Key Strokes Home 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.)

y = − 1 2 x + 4

y = x − 1 2

Pretty fraction: Ctrl Divide

To submit your response: Press Ctrl Home 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”

Quick Poll

1. Habits of Mind and Metacognition

• 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:

Home C: Quick Poll

• 4. Were you correct when you rated your understanding?

Solving by Substitution

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.

2x + y = 0 y = x + 3

2x + (x+3) = 9 2x + x + 3 = 9 3x + 3 = 9 2x = 6 x = 2 y = x + 3 y = 2 + 3 y = 5

(2, 5)

Solving by Substitution

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.

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 = 10 + 1 y = 11

(5, 11)

To submit your response: Press Ctrl Home 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” 1. Habits of Mind and Metacognition

• 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:

Home C: Quick Poll

• 4. Were you correct when you rated your understanding?

Quick Poll

Solving by Elimination

2x + y = 10 x − y = 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.

2x + y = 10 x - y = 11 3x = 21 x = 7 x - y = 11 7 - y = 11

• y = 4

y = -4

(7, -4)

Solving by Elimination

5x + 3y = 22 x + y = 6

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.

5x + 3y = 22

• 3x - 3y = -18

2x = 4 x = 2 x + y = 6 2 + y = 6 y = 4

(2, 4)

Multiply by -3 to get of the y

• r by -5 to get rid of the x.

To submit your response: Press Ctrl Home 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”

Quick Poll

1. Habits of Mind and Metacognition

• 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:

Home C: Quick Poll

• 4. Were you correct when you rated your understanding?

Questions?

Thank you for coming!