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Big Idea:
Big Idea:
Graph and solve quadratic functions and equations; use discriminants; and simplify complex numbers
Student Expectations:
Student Expectations:
Priority TEKS
Priority TEKS
2A.4(F) solve quadratic and square root equations
Focus TEKS
Focus TEKS
2A.4(H) solve quadratic inequalities
2A.7(A) add, subtract, and multiply complex numbers
Ongoing TEKS
Ongoing TEKS
2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation
Student Learning Targets:
Student Learning Targets:
- I will factor quadratic expressions
- I will solve and interpret quadratic equations by factoring
- I will create quadratic equations from solutions
- I will solve quadratic inequalities
- I will graph the solutions to quadratic inequalities
- I will know the definitions of the complex number i
- I will simplify complex numbers
- I will add, subtract, multiply and divide complex numbers
- I will factor quadratic expressions using complex conjugates
- I will solve quadratic equations with complex roots by factoring
- I will solve quadratic equations by taking square roots
- I will solve quadratic equations by completing the square
- I will solve quadratic equations using the Quadratic Formula
- I will use the discriminant to determine the nature of the solutions of a quadratic equation
Essential Questions:
Essential Questions:
- How does understanding how to find the vertex of a quadratic function help in making decisions in real-life applications?
- How can you determine the key attributes of a quadratic function from an equation?
Extra Information:
Extra Information:
Adopted Textbook: Springboard - Algebra II Texas Edition
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