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Solving Quadratic Equations with Real & Complex Roots - Password Search Activity

Rated 5 out of 5, based on 2 reviews
5.0 (2 ratings)
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Niki Math
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Grade Levels
7th - 10th, Homeschool
Resource Type
Standards
Formats Included
  • PDF
Pages
9 pages
$1.66
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$1.75
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$1.66
List Price:
$1.75
You Save:
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Niki Math
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Easel Activity Included
This resource includes a ready-to-use interactive activity students can complete on any device.  Easel by TPT is free to use! Learn more.
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Description

The activity practices solving quadratic equations with real (rational and irrational) and complex roots. There are included quadratics in standard and vertex form, though more of the equations have terms on both sides. Students will need to

  • simplify algebraic expressions
  • use the formula for the product of the sum and difference of the same two terms

They are asked to solve the equations by the most appropriate method.

Activity Directions: Students solve 12 quadratic equations. They use a given table to find which character (letter, number or sign) corresponds to each of their answers and fill in another table to obtain a funny password. Students tell the password to the teacher. If it is correct, then they have solved all equations right.

Answer keys are included.

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Related products:

1) Solving Quadratic Equations with Real Solutions by All Methods - Password (Group) Activity (4 versions, 48 equations)

2) Quadratics with Complex Roots - Password Search Activity (3 versions,36 problems)

3) Solving Quadratics with Rational Solutions by All Methods - Partner Activity "Make Compound Words"

4) Solving Quadratic Equations with Complex Roots - Partner Activity "Make Compound Words"

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

to see state-specific standards (only available in the US).
Know there is a complex number 𝘪 such that 𝘪² = –1, and every complex number has the form 𝘢 + 𝘣𝘪 with 𝘢 and 𝘣 real.
Use the relation 𝘪² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
Solve quadratic equations with real coefficients that have complex solutions.
Extend polynomial identities to the complex numbers. For example, rewrite 𝘹² + 4 as (𝘹 + 2𝘪)(𝘹 – 2𝘪).

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