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Unit 1 Frameworks |
All of Unit 1 |
| Unit 1-1: |
(Review) Simplifying Exponents (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Video Lessons: (p1, p2a, p2b)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-2: |
(Review) Simplifying Radicals (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Video Lessons: (p1, p2a, p2b, p3, p4)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-3: |
Rational Exponent to Radical (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.RN.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
MGSE9-12.N.RN.: Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3)(3)] to hold, so [5^(1/3)]^3 must equal 5..
Video Lessons: (p1, p2 )
Sample Quiz: (Interactive, PDF) |
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| Unit 1-4: |
Complex Operations & Equations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.CN.1: Understand there is a complex number i such that i^2= −1, and every complex number has the form a + bi where a and b are real numbers.
MGSE9-12.N.CN.2: Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
MGSE9-12.N.CN.3: Find the conjugate of a complex number; use the conjugate to find the absolute value (modulus) and quotient of complex numbers.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-5: |
Solving Quadratics by Factoring (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.CN.7: Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8: Extend polynomial identities to include factoring with complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). .
MGSE9-12.A.REI.4: Solve quadratic equations in one variable.
MGSE9-12.A.REI.4b: Solve quadratic equations by inspection (e.g., for x^2= 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions).
Video Lessons: (p1a, p1b , p2, p3)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-6: |
Solving Quadratics by Graphing (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.CN.7: Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8: Extend polynomial identities to include factoring with complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). .
MGSE9-12.A.REI.4: Solve quadratic equations in one variable.
MGSE9-12.A.REI.4b: Solve quadratic equations by inspection (e.g., for x^2= 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions).
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-7: |
Completing the Square (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.CN.7: Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8: Extend polynomial identities to include factoring with complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). .
MGSE9-12.A.REI.4: Solve quadratic equations in one variable.
MGSE9-12.A.REI.4b: Solve quadratic equations by inspection (e.g., for x^2= 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions).
Video Lessons: (p1, p2, p3, p4a, p4b)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-8: |
Quadratic Formula (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.CN.7: Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8: Extend polynomial identities to include factoring with complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). .
MGSE9-12.A.REI.4: Solve quadratic equations in one variable.
MGSE9-12.A.REI.4b: Solve quadratic equations by inspection (e.g., for x^2= 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions).
Video Lessons: (p1, p2a, p2b, p3, p4, p5)
Sample Quiz: (Interactive, PDF) |
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| TEST: |
Testing Item Banks for Exam View
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ExamView Video Instructions (How To Make a Test)
Author: Matt Winking |
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