Quadratic Equations with Irrational Solutions - Group Activity

Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
Quadratic Equations with Irrational Solutions - Group Activity
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1 MB|14 pages
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Product Description

This is a challenging activity to promote students thought, creativity and discovery.

It contains more engaging and complex problems suitable for advanced level students or for the mathematically gifted students in class. The product can be used for groups of 4 members or as an individual practice (4 different versions included).

Students will practice solving quadratic equations with rational and irrational coefficients having only irrational solutions. Some of the equations are in standard form and the other have one term on the right side of the equation. Each quadratic equation must be solved by a specified method - completing the square or the quadratic formula. There are problems included, where students need to

• rationalize denominators containing radicals

• find the square of a sum or a difference between rational and irrational numbers

• find the common root between two equations

*Hints are included to help students check if their ”pretty” answers are correct.

*If this resource is used for group work, there is a group response sheet specially provided. There partners are instructed to calculate the sum or/and product of all their answers to corresponding problems. They record their findings, surprised to discover that their collective answers are “pretty” numbers too.

I hope you and your students enjoy this activity.

A recording worksheet is included for students to show work. All answer keys are included.

This activity is included in my

Quadratic Equations Activities BUNDLE (Real and Complex Solutions)

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You might also like these other quadratic equations products available for individual purchase:

1) Solving Quadratics by the Square Root Method - Partner Activity " Find out the idioms" 1

2) Solving Quadratic Equations with Rational Solutions "Balloons Game" for groups of 4

3) Finding a Common Root Between Quadratics (Factoring Method) - Group Activity "Hidden constellations"

4) Solving Quadratic Equations by All Methods Partner Activity "Make a compound word"

5) Solving Quadratic Equations by All Methods Partner Activity " Provide numbers and get numbers"

6) Solving Equivalent Quadratic Equations by All Methods Quiz Game for 4,3 and 2 (Sorting and Word Search Activity)

7) Quadratic Equations with Two Positive Roots Partner Activity

8) Quadratic Equations with Two Negative Roots Partner Activity

9) Quadratic Equations with Complex Solutions Partner Sorting and Word Search Activity

10) Quadratic Equations with Complex Solutions Partner Quiz and Drawing Activity

Total Pages
14 pages
Answer Key
Included
Teaching Duration
N/A
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