Math II - Other Methods to Solve Quadratic Equations Unit Notes (Unit 3)
Robbie Howard
13 Followers
Resource Type
Standards
CCSSHSN-RN.B.3
CCSSHSN-CN.A.1
CCSSHSA-SSE.B.3
CCSSHSA-REI.B.4a
CCSSHSA-REI.B.4b
Formats Included
- PDF
Pages
25 pages
Robbie Howard
13 Followers
Description
Notes (with solutions) for a unit on solving quadratic equations for Common Core Math II. Topics include:
*Rational and Irrational Numbers
*Complex Numbers
*Solving by Completing the Square
*Using Completing the Square to Rewrite Quadratic Expressions in Vertex Form
*Solving Quadratic Equations by the Quadratic Formula
*The Discriminant of the Quadratic Formula
Can be printed out and copied with ease, or put on your class website. Great for when students are absent and need a tangible reference sheet for how to complete problem sets!
*Rational and Irrational Numbers
*Complex Numbers
*Solving by Completing the Square
*Using Completing the Square to Rewrite Quadratic Expressions in Vertex Form
*Solving Quadratic Equations by the Quadratic Formula
*The Discriminant of the Quadratic Formula
Can be printed out and copied with ease, or put on your class website. Great for when students are absent and need a tangible reference sheet for how to complete problem sets!
Total Pages
25 pages
Answer Key
Included
Teaching Duration
2 Weeks
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Standards
to see state-specific standards (only available in the US).
CCSSHSN-RN.B.3
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
CCSSHSN-CN.A.1
Know there is a complex number ๐ช such that ๐ชยฒ = โ1, and every complex number has the form ๐ข + ๐ฃ๐ช with ๐ข and ๐ฃ real.
CCSSHSA-SSE.B.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
CCSSHSA-REI.B.4a
Use the method of completing the square to transform any quadratic equation in ๐น into an equation of the form (๐น โ ๐ฑ)ยฒ = ๐ฒ that has the same solutions. Derive the quadratic formula from this form.
CCSSHSA-REI.B.4b
Solve quadratic equations by inspection (e.g., for ๐นยฒ = 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 ๐ข ยฑ ๐ฃ๐ช for real numbers ๐ข and ๐ฃ.
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Questions & Answers
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