Algebra 2 4-9 Guided Practice: Quadratic Systems

Last updated about 3 years ago

19 questions

3

20

A.CED.3

F.IF.7.a

3

10

A.CED.3

A.REI.7

Library

Algebra 2 4-9 Guided Practice: Quadratic Systems

Last updated about 3 years ago

19 questions

3

20

Solve It! One way to draw a mouth on the face shown above is to graph the quadratic function below with the given domain restrictions.

What second quadratic function would you graph to open the mouth?
◆ Click here to open the image and overlayed smile parabola on Desmos.
◆ Add a new quadratic equation to create an open mouth.
◆ Take a screenshot of the face with the open mouth you created.
◆ Upload or paste your screenshot to the canvas.

A.CED.3

F.IF.7.a

3

10

Take Note: Define quadratic/linear system.

5

10

Problem 1 Got It?

A.CED.3

A.REI.11

…

3

10

Problem 2 Got It?

A.CED.3

A.REI.11

…

3

10

A.CED.3

A.REI.11

F.IF.7.a

10

A.CED.3

A.REI.11

F.IF.7.a

3

10

Problem 4 Got It?
Graph the solution of the system of inequalities at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot of your graph and upload or paste it onto the Formative canvas.
Use the Formative canvas tools and a bright, contrasting color to shade in the region of solutions (over the shading created by Desmos).
y\leq -x^{2}-4x+3
y\geq x^{2}+3

10

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

A.CED.3

A.REI.7

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! One way to draw a mouth on the face shown above is to graph the quadratic function below with the given domain restrictions.

What second quadratic function would you graph to open the mouth?
◆ Click here to open the image and overlayed smile parabola on Desmos.
◆ Add a new quadratic equation to create an open mouth.
◆ Take a screenshot of the face with the open mouth you created.
◆ Upload or paste your screenshot to the canvas.

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define quadratic/linear system.

5

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

10

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.
(A system containing one quadratic equation and one linear equation.)

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

10

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

10

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

10

Problem 1 Got It?

A.CED.3

A.REI.11

…

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 2 Got It?

A.CED.3

A.REI.11

…

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 3 Got It?

A.CED.3

A.REI.11

F.IF.7.a

10

Problem 3 Got It?

A.CED.3

A.REI.11

F.IF.7.a

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?
Graph the solution of the system of inequalities at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot of your graph and upload or paste it onto the Formative canvas.
Use the Formative canvas tools and a bright, contrasting color to shade in the region of solutions (over the shading created by Desmos).
y\leq -x^{2}-4x+3
y\geq x^{2}+3

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.
(A system containing one quadratic equation and one linear equation.)

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

Instructions

Click the graph tab.
Choose the correct graph type.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

Linear

A

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Problem 3 Got It?

B

C

D

Problem 3 Got It?

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

1

2

3

infinitely many

Algebra 2 4-9 Guided Practice: Quadratic Systems

Algebra 2 4-9 Guided Practice: Quadratic Systems

Take Note: Define quadratic/linear system.

Problem 1 Got It?

Problem 2 Got It?

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define quadratic/linear system.

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions. (A system containing one quadratic equation and one linear equation.)

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions. *A system containing one quadratic equation and one linear equation.

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions. (A system containing one quadratic equation and one linear equation.)

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions. *A system containing one quadratic equation and one linear equation.

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.
(A system containing one quadratic equation and one linear equation.)

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.
(A system containing one quadratic equation and one linear equation.)

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.