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 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Georgia 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)

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)

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)

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)

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)

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)

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)

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)

TEST: Testing Item Banks for Exam View

(246 available questions for Unit 1)