Algebra 2 4-5 Guided Practice: Quadratic Functions

Last updated about 3 years ago

19 questions

3

20

3

20

3

10

A.APR.3

A.CED.1

…

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Algebra 2 4-5 Guided Practice: Quadratic Functions

Last updated about 3 years ago

19 questions

3

Solve It! As a part of an engineering project, your team is drawing a highway tunnel on a coordinate system. The tunnel opening is in the shape of a parabola. You need to finish the drawing.

10

A.CED.1

F.IF.7.a

3

10

Take Note: Define zero of a function.

10

Take Note: Summarize the Zero-Product Property.

10

Problem 1 Got It?

A.APR.3

A.CED.1

A.SSE.3.a

3

10

Take Note: Describe how you can find the solutions of a quadratic function from a table. You may use the canvas to help illustrate your written response.

20

Problem 2 Graphing: Graph the quadratic equation at desmos.com/calculator using the technique from Problem 2.
Rewrite the equation in standard form, replace 0 with y, and graph it.
Use the settings menu (⚙️ icon) to convert the equation to a table of values.
Modify x-values in the table to identify the solution(s) within the table. Look for inputs that lead to outputs of 0.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot that includes your graph and the table.
Upload or paste your screenshot to the canvas.
Use the Formative canvas tools to add the following annotations to your screenshot:
1 - Identify where to find the solution(s) in the table and on the parabola.
2 - Use highly-visible colors that contrast with the background.

4x^{2}-14x+7=4-x

10

Problem 2 Got It?

A.APR.3

A.CED.1

F.IF.7.a

3

10

Take Note: Describe how you can find the solutions of a quadratic function from its graph, even if you do not know its equation. You may use the canvas to help illustrate your written response.

20

Problem 3 Graphing:
Graph the quadratic equation below at desmos.com. Remember to substitute y for 0.
Zoom and pan your graph to establish an appropriate viewing window.
Click on the vertex and x-intercepts to label them.
With all 3 labels showing, take a screenshot of your graph.
Upload or paste your screenshot to the canvas.
Use the canvas tools and a contrasting color to circle the x-intercepts. Remember that their x-values represent the solutions of the original equation.
x^{2}+2x-24=0

10

Problem 3 Got It?

A.APR.3

A.CED.1

F.IF.7.a

3

10

Problem 4 Graphing:
Graph the quadratic function at desmos.com/calculator.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot of your graph.
Upload or paste your screenshot to the canvas.
Note: You will use this function and/or graph in the next item as well.

y=-0.03x^{2}+1.60x

10

Problem 4 Got It? The function below models the path of a kicked soccer ball.

The height is y ,the distance is x, and the units are meters. Use the responses on the left to answer the questions on the right.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

A.APR.3

A.CED.1

…

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! As a part of an engineering project, your team is drawing a highway tunnel on a coordinate system. The tunnel opening is in the shape of a parabola. You need to finish the drawing.

10

Solve It! What are the coordinates of point C ?

A.CED.1

F.IF.7.a

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

10

Take Note: Define zero of a function.

10

Take Note: Summarize the Zero-Product Property.

10

Take Note: If xy = 0, what do you know about the value of x and/or the value of y?

10

Problem 1 Got It?

A.APR.3

A.CED.1

A.SSE.3.a

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

10

Take Note: Describe how you can find the solutions of a quadratic function from a table. You may use the canvas to help illustrate your written response.

Problem 2 Graphing: Graph the quadratic equation at desmos.com/calculator using the technique from Problem 2.
Rewrite the equation in standard form, replace 0 with y, and graph it.
Use the settings menu (⚙️ icon) to convert the equation to a table of values.
Modify x-values in the table to identify the solution(s) within the table. Look for inputs that lead to outputs of 0.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot that includes your graph and the table.
Upload or paste your screenshot to the canvas.
Use the Formative canvas tools to add the following annotations to your screenshot:
1 - Identify where to find the solution(s) in the table and on the parabola.
2 - Use highly-visible colors that contrast with the background.

4x^{2}-14x+7=4-x

10

Problem 2 Got It?

A.APR.3

A.CED.1

F.IF.7.a

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

10

Take Note: Describe how you can find the solutions of a quadratic function from its graph, even if you do not know its equation. You may use the canvas to help illustrate your written response.

Problem 3 Graphing:
Graph the quadratic equation below at desmos.com. Remember to substitute y for 0.
Zoom and pan your graph to establish an appropriate viewing window.
Click on the vertex and x-intercepts to label them.
With all 3 labels showing, take a screenshot of your graph.
Upload or paste your screenshot to the canvas.
Use the canvas tools and a contrasting color to circle the x-intercepts. Remember that their x-values represent the solutions of the original equation.
x^{2}+2x-24=0

10

Problem 3 Got It?

A.APR.3

A.CED.1

F.IF.7.a

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

Problem 4 Graphing:
Graph the quadratic function at desmos.com/calculator.
Zoom and pan your graph to establish an appropriate viewing window.
Capture a screenshot of your graph.
Upload or paste your screenshot to the canvas.
Note: You will use this function and/or graph in the next item as well.

y=-0.03x^{2}+1.60x

Problem 4 Got It? The function below models the path of a kicked soccer ball.

The height is y ,the distance is x, and the units are meters. Use the responses on the left to answer the questions on the right.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

How far does the soccer ball travel?
How high does the soccer ball go?
What is a reasonable domain for the function?
What is a reasonable range for the function?

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.

Solve It! What are the coordinates of point C ?

(0, 22)

(25.92, 0)

(20.8, 0)

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: If xy = 0, what do you know about the value of x and/or the value of y?

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.

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.

How far does the soccer ball travel?

How high does the soccer ball go?

What is a reasonable domain for the function?

What is a reasonable range for the function?

Algebra 2 4-5 Guided Practice: Quadratic Functions

Algebra 2 4-5 Guided Practice: Quadratic Functions

Take Note: Define zero of a function.

Take Note: Summarize the Zero-Product Property.

Problem 1 Got It?

Take Note: Describe how you can find the solutions of a quadratic function from a table. You may use the canvas to help illustrate your written response.

Problem 2 Got It?

Take Note: Describe how you can find the solutions of a quadratic function from its graph, even if you do not know its equation. You may use the canvas to help illustrate your written response.

Problem 3 Got It?

🧠 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! What are the coordinates of point C ?

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

Take Note: Define zero of a function.

Take Note: Summarize the Zero-Product Property.

Take Note: If xy = 0, what do you know about the value of x and/or the value of y?

Problem 1 Got It?

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

Take Note: Describe how you can find the solutions of a quadratic function from a table. You may use the canvas to help illustrate your written response.

Problem 2 Got It?

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

Take Note: Describe how you can find the solutions of a quadratic function from its graph, even if you do not know its equation. You may use the canvas to help illustrate your written response.

Problem 3 Got It?

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

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

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

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