Mastering Quadratic Equations: Methods, Examples, and Practice
Dive into the world of solving quadratic equations with Miss Jenkins! Learn how to determine if solutions are real or complex, find solutions using multiple methods, justify your approach, and more. Step-by-step guidance, examples, and vocabulary await you in this comprehensive guide.
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Presentation Transcript
SOLVING QUADRATIC EQUATIONS By Miss, Jenkins
A.REI.4, 4B I CAN DETERMINE WHETHER THE SOLUTION OF A QUADRATIC EQUATION WILL BE REAL OR COMPLEX. I CAN FIND REAL SOLUTIONS TO QUADRATIC EQUATIONS IN ONE VARIABLEUSING MULTIPLE METHODS AND JUSTIFY MY SOLUTION METHOD. Standard
Solving using the quadratic equation
Step 1 : Rewrite the equation if it is not in standard form Step 2 : Identify the a, b, c Step 3 : put the numbers in the equation Steps oStep 4 once you have solved if you are able to simplify your solution
Vocabulary binomial expression is an algebraic expression consisting of two terms or monomials separated by a plus (+) or minus ( ) sign. nth root it is the "radical" symbol (used for square roots) with a little n to mean nth root.
Vocabulary properties of operations as strategies to multiply and divide
A.REI.4, 4B I CAN DETERMINE WHETHER THE SOLUTION OF A QUADRATIC EQUATION WILL BE REAL OR COMPLEX. I CAN FIND REAL SOLUTIONS TO QUADRATIC EQUATIONS IN ONE VARIABLE USING MULTIPLE METHODS AND JUSTIFY MY SOLUTION METHOD. Standard
COMPLETING THE SQUARE
ESSENTIAL QUESTION HOW ARE COMPLEX AND REAL NUMBERS RELATED AND USED IN THE WORLD?
Standards:A.REI.4, 4b I can determine whether the solution of a quadratic equation will be real or complex. I can find real solutions to quadratic equations in one variable using multiple methods and justify my solution method.
COMPUTING EXPONETS
Standards N-RN Extend the properties of exponents to rational exponents. MGSE9-12.N.RN.1. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Learning Target: I can describe the relationship between rational exponents and radicals.
https://www.youtube .com/watch?v=Qi9Ds GsvMRc
Standards N-RN Extend the properties of exponents to rational exponents. MGSE9-12.N.RN.1. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
The meaning of the letters
