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Quadratic Equations with Complex Solutions-Practice &HW (48pr)-Distance Learning

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5.0 (1 rating)
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Niki Math
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Grade Levels
8th - 10th, Homeschool
Resource Type
Standards
Formats Included
  • PDF
Pages
16 pages
$2.85
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$2.85
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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

This resource includes an engaging practice on quadratic equations with complex solutions containing 32 problems and homework assignment with 16 problems. Students will solve quadratic equations by the square root method, by completing the square and by the quadratic formula. The practice problems are classified/arranged by type:

A. quadratic equations having b=0 and ac>0 (8 problems)

B. the real and imaginary parts of the complex roots of a quadratic equation are both rational numbers

( D= ai , a - a whole number) (8 problems, level 1)

C. the real and/or imaginary part(s) of the complex roots of a quadratic equation is/are irrational number(s)

( √D= √a i , a - a whole number) (8 problems, level 2)

D. finding a quadratic equations with given the pair of roots (8 problems)

The practice sheets give room for students to show work.

The product can be used as a classwork, independent practice, for practice after teaching a lesson on quadratic equations with complex solutions/roots, homework assignment and assessment.

Answer keys are included.

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Related products:

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

2) Quadratic Equations with Complex Solutions - Digital Matching and Puzzle Assembling

3) Quadratic Equations with Complex Solutions -Drag & Drop Multiple Choice Practice

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

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Total Pages
16 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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