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# Quadratics: Solving x squared = k and (x + h) squared = k (PowerPoints Included)

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Resource Type
Common Core Standards
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2 MB|8 pages and 13 slides
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Product Description
Important Note: The PowerPoint animations in this lesson don't work well with Google Slides. You should use PowerPoint!

The awesomely animated PowerPoint presentations that include detailed solutions to the class activities and answers to all of the problems, will really help your students understand how to solve certain types of quadratic equations. As I am sure you know, students often struggle with the fact that quadratic equations can have two solutions. I have found that they get a better grasp for this concept when they understand that the square root of x squared is equivalent to the absolute value of x. That is why I have students graph both of these functions on the same coordinate plane. They will quickly discover that the graphs are identical. Students then get plenty of opportunity to solve equations in the forms of x^2 = k and (x + h)^2 = k. Some problems have two solutions while others have no solutions. Students also get plenty of practice solving real world scenarios. They will need to analyze the problems to see if the negative solution makes sense. At the end of the lesson, students really like looking at two problems that have been solved but contain errors. Students must describe and correct the errors.

To better understand how my products work: I have the suggested instructions for use listed below. These include suggested time limits as well.

Note: Using an egg timer to keep track of the suggested times really helps!

Page 1: Six multiple-choice questions:
*Have students work on questions #1-6 either individually, with a
partner, or in groups (5 minutes):
*Show slide 1 of the PowerPoint so students can check their answers. Discuss as a class how one arrives at the correct answers. (10 minutes)

Page 2: Activity A, B, and C: (Whole Class)
The whole class will watch slides 2 and 3 of the jaw-dropping PowerPoint guiding them through this activity. Students will analyze and copy down the steps into their packet. (20 minutes)

Page 3 (Top): D and E (Whole Class)
Students will continue to watch the jaw-dropping PowerPoint, (slides 4 and 5), explaining how to solve two quadratic equations in the form x^2 = h. Again they will copy down the steps into their packet. (10 minutes)

Page 3 (Bottom) and Page 4: (Independent, partner, or group work)
Students will work independently, with a partner, or in groups on exercises #7-12. (30 minutes)
Show slide 6 of the PowerPoint so students can check their answers. Have class discussions as needed. (10 minutes)

Page 5 (Top): F and G (Whole Class)
Students will continue to watch the jaw-dropping PowerPoint, (Slides 7 and 8), explaining how to solve two quadratic equations in the form (x+h)^2 = h. Again they will copy down the steps into their packet. (15 minutes)

Page 5 (Bottom): (Independent, partner, or group work)
Students will work independently, with a partner, or in groups on exercises #13 and #14. (15 minutes)
Show slide 9 of the PowerPoint so students can check their answers. Have class discussions as needed. (10 minutes)

Page 6: H (Whole Class)
Students will continue to watch the draw-dropping PowerPoint, (slides 10), explaining how to solve a problem where the area of a square is given and the side length and perimeter must be determined. Again they will copy down the relevant steps into their packet. (15 minutes)

Page 7: (Independent, partner, or group work.)
Students will work independently, with a partner, or in groups on problems #15– 17. (25 minutes)
Show slide 11 of the PowerPoint so students can check their answers. Have class discussions as needed. (15 minutes)

Page 8: (Independent, partner, or group work.)
Students will work independently, with a partner, or in groups on problems #18-19. These two problems have already been worked out and students will have to find and correct the error(s). (15 minutes)
Show slide 12 and 13 of the PowerPoint so students can check to see if they found the errors and made the appropriate corrections. Have class discussions as needed. (10 minutes)

The End!

Note: The zipped file contains the suggested instructions for use, the 8 -page lesson, the 8-page key, 13 animated slides, and 1 page on copyright information. These are all PDF files, and the slides are done in PowerPoint.
Total Pages
8 pages and 13 slides
Included
Teaching Duration
Other
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