Algebra 2 4-7 Guided Practice: The Quadratic Formula

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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.

10

Solve It! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.
◆ crosses the x-axis twice
◆ touches the x-axis only once
◆ misses the x-axis completely

crosses the x-axis twice
touches the x-axis only once
misses the x axis completely

F.IF.7.a

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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.

10

Take Note: You will use the Quadratic Formula many times in this course. Take the time to commit it to memory soon. Begin by entering the Quadratic Formula in the response field using the math input keyboard. Enter the formula just as it is shown in the Key Concept box.
Tip: Start by typing "x=/". [That's a forward slash.]

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Take Note: In previous lessons you learned to solve quadratic equations using a variety of techniques. What advantage does solving them with the Quadratic Formula offer over the previous methods?

10

Problem 1 Got It?

A

B

C

D

A.REI.4.b

10

Problem 1 Got It?

A

B

C

D

A.REI.4.b

3

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.

10

Problem 2 Got It? In Problem 2, what is the least amount you can charge for a CD to make a $100 profit?

$15.29

$10.74

$12.29

$13.20

A.REI.4.b

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A.REI.4.b

3

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.

10

Take Note: What is the discriminant of a quadratic function? What does it reveal about the function?

10

Take Note: Circle part of the Quadratic Formula that represents the discriminant on the canvas. Use a contrasting color.

10

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.
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.

b^{2}-4ac=0
b^{2}-4ac<0
b^{2}-4ac>0

No real solutions
One real solution
Two real solutions

10

Problem 3 Got It?

A

B

C

D

A.REI.4.b

10

Problem 3 Got It?

A

B

C

D

A.REI.4.b

3

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.

10

Problem 4 Got It? Reasoning: Will the golf ball in Problem 4 ever reach a height of 110 ft? Use the discriminant to explain your answer.

Yes; The discriminant would be positive so the related equation has 2 real solutions.

No; The discriminant would still be negative meaning the related equation has no real solutions.

A.REI.4.b

10

Algebra 2 4-7 Guided Practice: The Quadratic Formula

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

Solve It! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.
◆ crosses the x-axis twice
◆ touches the x-axis only once
◆ misses the x-axis completely

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

Take Note: In previous lessons you learned to solve quadratic equations using a variety of techniques. What advantage does solving them with the Quadratic Formula offer over the previous methods?

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? In Problem 2, what is the least amount you can charge for a CD to make a $100 profit?

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

Take Note: What is the discriminant of a quadratic function? What does it reveal about the function?

Take Note: Circle part of the Quadratic Formula that represents the discriminant on the canvas. Use a contrasting color.

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.
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.

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: Will the golf ball in Problem 4 ever reach a height of 110 ft? Use the discriminant to explain your answer.

🧠 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! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.
◆ crosses the x-axis twice
◆ touches the x-axis only once
◆ misses the x-axis completely

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

Take Note: In previous lessons you learned to solve quadratic equations using a variety of techniques. What advantage does solving them with the Quadratic Formula offer over the previous methods?

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? In Problem 2, what is the least amount you can charge for a CD to make a $100 profit?

Problem 2 Got It? Reasoning: Would a negative profit make sense in Problem 2? Explain.

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

Take Note: What is the discriminant of a quadratic function? What does it reveal about the function?

Take Note: Circle part of the Quadratic Formula that represents the discriminant on the canvas. Use a contrasting color.

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.
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.

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: Will the golf ball in Problem 4 ever reach a height of 110 ft? Use the discriminant to explain your answer.

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

Problem 2 Got It? Reasoning: Would a negative profit make sense in Problem 2? Explain.

Algebra 2 4-7 Guided Practice: The Quadratic Formula

Algebra 2 4-7 Guided Practice: The Quadratic Formula

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

Solve It! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.◆ crosses the x-axis twice◆ touches the x-axis only once◆ misses the x-axis completely

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

Take Note: In previous lessons you learned to solve quadratic equations using a variety of techniques. What advantage does solving them with the Quadratic Formula offer over the previous methods?

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? In Problem 2, what is the least amount you can charge for a CD to make a $100 profit?

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

Take Note: What is the discriminant of a quadratic function? What does it reveal about the function?

Take Note: Circle part of the Quadratic Formula that represents the discriminant on the canvas. Use a contrasting color.

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.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.

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: Will the golf ball in Problem 4 ever reach a height of 110 ft? Use the discriminant to explain your answer.

🧠 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! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.◆ crosses the x-axis twice◆ touches the x-axis only once◆ misses the x-axis completely

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

Take Note: In previous lessons you learned to solve quadratic equations using a variety of techniques. What advantage does solving them with the Quadratic Formula offer over the previous methods?

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? In Problem 2, what is the least amount you can charge for a CD to make a $100 profit?

Problem 2 Got It? Reasoning: Would a negative profit make sense in Problem 2? Explain.

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

Take Note: What is the discriminant of a quadratic function? What does it reveal about the function?

Take Note: Circle part of the Quadratic Formula that represents the discriminant on the canvas. Use a contrasting color.

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.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.

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: Will the golf ball in Problem 4 ever reach a height of 110 ft? Use the discriminant to explain your answer.

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

Problem 2 Got It? Reasoning: Would a negative profit make sense in Problem 2? Explain.

Solve It! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.
◆ crosses the x-axis twice
◆ touches the x-axis only once
◆ misses the x-axis completely

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.
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.

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

Solve It! On this happy face, what quadratic functions have graphs that meet the following conditions? Consider only the domain 2 ≤ x ≤ 6.
◆ crosses the x-axis twice
◆ touches the x-axis only once
◆ misses the x-axis completely

Take Note: Categorize each item on the left based on the number of solutions of the quadratic function it represents.
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.

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