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Solving Quadratic Equations by Completing the Square- 2 Levels-Matching Activity

Rated 4.89 out of 5, based on 75 reviews
4.9ย (75 ratings)
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Caryn Loves Math
2.2k Followers
Grade Levels
9th - 12th
Resource Type
Standards
Formats Included
  • PDF
Pages
14 pages
$2.00
$2.00
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Caryn Loves Math
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What educators are saying

Great activity which allowed students to work together to solve the equations in a beneficial way. Thanks!
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Description

Students must using Completing the Squares to solve quadratic equations. May also be used to practice using the square root property to solve quadratics. There are 2 versions of this activity. 14 equations for each set.

Level 1: All solutions are integers, all equations (after completing the squares) will be set equal to a perfect square.

Level 2: Solutions are rational (fractions) or irrational (with no perfect square roots). So equations (after completing the squares) will be set equal to a perfect square fraction (like 9/4) or non-perfect squares (like 10)

Lots of ways to use this activity. Here are 2 options:

Sort/Matching Activity

This is a 3 part sort. Students are given a set of equations, squares, and solutions. They must work the problems and match with the square and the solution set.

Interactive Bulletin Board Idea:

Great for bell work. Place the solutions (or perfect squares) on your blackboard. Give the students (individually or in pairs) an equation to work. They place the equations under the correct answer. This takes about 10 minutes, and allows you to see which students need more help.

This activity is designed for differentiated instruction. Ideas included on the direction page.

Possible Uses

- Bell Work

- Alternate to homework

- Extra Practice

- Review station

- Check for understanding activity

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

to see state-specific standards (only available in the US).
Solve quadratic equations in one variable.
Use the method of completing the square to transform any quadratic equation in ๐˜น into an equation of the form (๐˜น โ€“ ๐˜ฑ)ยฒ = ๐˜ฒ that has the same solutions. Derive the quadratic formula from this form.
Solve quadratic equations by inspection (e.g., for ๐˜นยฒ = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as ๐˜ข ยฑ ๐˜ฃ๐˜ช for real numbers ๐˜ข and ๐˜ฃ.

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