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- I can find the real solutions to a quadratic by graphing
- I can solve a system of two equations graphically and algebraically
- I can factor a GCF from an equations
- I can factor a trinomial when a is equal to 1
- I can factor a trinomial when a is not equal to 1
- I can factor a binomial using the difference of squares
- I can simplify square roots
- I can solve a quadratic binomial by taking the square root of both sides
- I understand why there are two solutions when I take the square root of both sides
- I can take the square root of -1
- I can perform operations involving i
- I can utilize the properties of imaginary and complex numbers
- I can utilize the quadratic formula to find all the real and imaginary solutions to a quadratic equation
State Standards:
State Standards:
- A.REI.B.3: Solve quadratic equations and inequalities in one variable
- N.CN.A.1: Know there is a complex number i, such that i^2=-1, and every complex number has the form a=bi with a and b real
- N.CN.A.2: Know and use the relationship i^2=-1 and the community, associative, and distributive properties to add subtract and multiply complex numbers
- N.CN.B.3: Solve quadratic equations with real coefficients that have complex solutions
- A.CED.A.2: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations
- A.REI.C.5: Solving a system consisting of a linear equations and a quadratic equation in two variables algebraically and graphically
- A.REI.D.6: Explain why the x-coordinates of the points where the graphs of the equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x); find the approximate solutions using technology
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