Georgia GSE Accelerated Geometry B/Algebra II

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Unit 1: Circles and Volume. MGSE9-12.G.C.1-5 a. Reviewing Circle Vocabulary b. Using Tangent Properties c. Finding Arcs/Angles (Central Angle) d. Finding Arcs/Angles (Inscribed Angles) e. Finding Miscellaneous Angles f. Using Diameters and Chords g. Identifying a Tangent to a Circle (using Pythagorean Theorem) h. Identify points as Inside, Outside, or On a Circle Given the Equation i. Combining Triangles/Quadrilaterals And Circles (Segments) j. Combining Triangles/Quadrilaterals And Circles (Angles) k. Finding Area of a Sector l. Finding Chord Length (Random) Unit 1: Circles and Volume. MGSE9-12.G.GMD.1-4 a. Finding the Surface Area b. Finding the Volume Problems c. Solving for x Given Volume d. Finding Volume of Pyramids and Cones (with distractors) e. Creating a 2-D Representation of a 3-D Object f. Creating a 3-D Object from 2-D Representations g. Creating a 3-D Object from Nets (Random) Unit 2: Geometric and Algebraic Connections. MGSE9-12.G.GPE.1 a. Identifying and Creating Equations of Circles b. Creating Equations of Circles from 2 Key Points (Random) Unit 2: Geometric and Algebraic Connections. MGSE9-12.G.GPE.4-7 a. Writing Equations of Parallel Lines b. Writing Equations of Perpendicular Lines c. Identifying Parallel, Perpendicular, and Oblique from Equations d. Identifying Parallel, Perpendicular, and Skew e. Finding Area and Perimeter of Rectangles and Squares (Given Coordinates) f. Finding Area and Perimeter of Triangles (Given Coordinates) g. Finding Area and Circumference of Circles (Given Coordinates) h. Using the Midpoint Formula i. Using the Formula for Slope j. Finding Angles, Sides, and Diagonals in Parallelograms k. More complicated problems with Parallelograms l. Placing figures Conveniently in the Coordinate Plane m. Using The Apothem to find Area of a Polygon n. Using The Radius to find Area of a Polygon o. Using The Side Length to find Area of a Polygon p. Finding Points using Slope (Random) Unit 2: Geometric and Algebraic Connections. MGSE9-12.G.MG.1-3 a. Word Problems with Similar Triangles b. Area Word Problems c. Word Problems d. Solving Word Problems e. Surface Area and Volume Word Problems f. Using Scale Drawings g. Using Perspective Drawings h. Using Blueprints (Random) Unit 3: Applications of Probability. MGSE9-12.S.CP.1-5 a. Finding Probability of Mutually Exclusive Events b. Finding Probability of Independent Events c. Finding Probability of Dependent Events d. Finding Sample Space e. Mutually Exclusive and Basic Probabilities f. Finding Probability of Independent Events g. Finding Probability of Dependent Events h. Displaying Data using Frequency Distribution Chart i. Reading Frequency Distribution Chart j. Exploring Probability Relationships In Pascal's Triangle (Random) Unit 3: Applications of Probability. MGSE9-12.S.CP.6-7 a. Finding the Number of Possible Arrangements of Objects b. Calculating the Probability of Something Not Happening c. Multiplication Rule d. Addition Rule e. Addition Rule, Multiplication Rule, Conditional Probabilities, and Independence (Random) Unit 4: Quadratics Revisited. MGSE9-12.N.CN.1.1-3 a. Identifying Field properties (distributive, associative, etc) (Integers) b. Identifying Field properties (Polynomials) c. Identifying Field properties (Complex Numbers) d. Identifying the Complex Conjugate (Random) Unit 4: Quadratics Revisited. MGSE9-12.N.CN.7-8 a. Identifying the Number of Solutions of a Quadratic Using the Discriminant b. Solving Quadratics By The Square-Root Method c. Solving Quadratics by Graphing d. Solving Quadratics by Factoring e. Solving Quadratics by Completing the Square f. Solving Quadratics with the Quadratic Formula (Real Solutions) g. Solving Quadratics that have Imaginary Solutions h. Solving Quadratics (both imaginary and real solutions) (Random) Unit 4: Quadratics Revisited. MGSE9-12.A.REI.4, 4b a. Solving Quadratic Equations in Vertex form b. Solving Quadratic Equations using the Quadratic Formula c. Verifying Solutions of Quadratic Equations d. Solving Quadratic Based Word Problems (Random) Unit 4: Quadratics Revisited. MGSE9-12.N.RN.1-2 a. Simplifying Radical Expressions (Numbers Only) b. Adding Radical Expressions (Numbers Only) c. Subtracting Radical Expressions (Numbers Only) d. Multiplying Radical Expressions (Numbers Only) e. Dividing Radical Expressions (Numbers Only) f. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) g. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) h. Adding Radical Expressions (Includes Variables) (Requires some factoring) i. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) j. Multiplying Radical Expressions (Includes Variables) k. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) l. Converting Radicals to Exponents (Rationals) m. Converting Exponents (Rationals) to Radicals (Random) Unit 5: Operations With Polynomials. MGSE9-12.A.APR.1 a. Identifying Basic Field Properties b. Identifying Properties of Equality c. Identifying Reflexive, Symmetric, Transitive d. Using the Distributive Law (First Steps) e. Using the Distributive Law f. Identifying Axioms of Inequalities (Random) Unit 5: Operations With Polynomials. MGSE9-12.A.APR.5-6 a. Defining Binomial Coefficients b. Using Pascal's triangle to find the k^th term of (x + y)ⁿ (Binomial Theorem) c. Using Pascal's triangle to expand (x + y)ⁿ (Binomial Expansion) d. Binomial Theorem e. Multiplying Rational Expressions (Easier) (Requires Factoring!) f. Multiplying Rational Expressions (Harder) (Requires Factoring!) g. Dividing Rational Expressions (Easier) (Requires Factoring!) h. Dividing Rational Expressions (Harder) (Requires Factoring!) (Random) Unit 5: Operations With Polynomials. MGSE9-12.F.BF.1, 1b, 1c a. Writing Quadratic Functions from Graphs b. Writing Quadratic Functions from Words c. Writing Quadratic Functions from Sets/Tables d. Writing Quadratic Functions from Sequences e. Direct Variation Word Problems f. Polynomial Word Problems - finding max/min g. Polynomial Word Problems - finding y-intercepts h. Polynomial Word Problems - finding x-intercepts i. Polynomial Word Problems - finding f(a) j. Writing the first n terms of an Arithmetic Sequence k. Defining an Arithmetic Sequence with Recursion l. Writing the first n terms of a Geometric Sequence m. Defining a Geometric Sequence with Recursion n. Composition of Function Word Problems (Random) Unit 5: Operations With Polynomials. MGSE9-12.F.BF.4, 4a, 4b, 4c a. Describing the Transformation of a Basic Function b. Writing the Equation of a Transformed Function c. Finding Inverses of Functions d. Finding Composition of Functions e. Using Composition of Functions to Identify Inverse Functions f. Linear Word Problems - finding x where f(x) = a g. Quadratic Word Problems - finding x where f(x) = a (Random) Unit 6: Polynomial Functions. MGSE9-12.N.CN.9 a. Using Descartes's Rule of Signs b. Finding Zeros of Polynomials c. Using the Rational Root Theorem d. Using Synthetic Division e. Using Long Division f. Using Box Division (Random) Unit 6: Polynomial Functions. MGSE9-12.A.SSE.1-2, 1a, 1b a. Classifying Polynomials by Degree b. Classifying Polynomials by Number of Terms c. Multiplying Polynomials d. Using Synthetic Division e. Using Long Division f. Using Box Division g. Dividing Polynomials by a Binomial (requires factoring) h. Identifying GCFs i. Factoring out Monomials j. Factoring Trinomials with hints k. Factoring Trinomials (a=1) (Grid Factoring Video) l. Factoring Trinomials (a>1) (Grid Factoring Video) m. Factoring Difference of Squares n. Factoring Perfect Square Trinomials	(Random) Unit 6: Polynomial Functions. MGSE9-12.A.APR.2-3 a. Using Descartes's Rule of Signs b. Using Synthetic Division to Find Roots c. Finding Roots of Polynomials with Rational Roots d. Finding Roots of Polynomials with at most 2 Irrational or Imaginary Roots (Random) Unit 6: Polynomial Functions. MGSE9-12.A.APR.4 a. Factoring: Pulling out the GCF b. Factoring Trinomials (a=1) (Grid Factoring Video) c. Factoring Trinomials (a>1) (Grid Factoring Video) d. Factoring: Difference of Squares e. Factoring: Perfect Square Trinomials f. Factoring: Sum and Difference of Cubes g. Factoring: Group Factorable h. Factoring: Combination -- Hard Factorable i. Possible Factoring Coefficients j. Identifying Trinomial Factors in Difference of Cubes (Random) Unit 6: Polynomial Functions. MGSE9-12.F.IF.4 a. Find the x-intercepts of a Polynomial Function b. Find the y-intercepts of a Polynomial Function c. Finding where a Polynomial Function is positive d. Finding where a Polynomial Function is negative e. Finding where a Polynomial Function is increasing f. Finding where a Polynomial Function is decreasing g. Finding end behavior of a Polynomial Function h. Finding symmetries of a Polynomial Function i. Finding maxima and minima of a Polynomial Function (Random) Unit 6: Polynomial Functions. MGSE9-12.F.IF.7, 7c a. Finding Zeros of a Polynomial b. Graphing a Polynomial c. Finding zeros of a Polynomial from a Graph (Random) Unit 7: Rational and Radical Relationships. MGSE9-12.A.APR.7 a. Adding Rational Expressions(Easier) (Requires Factoring!) b. Adding Rational Expressions (Harder) (Requires Factoring!) c. Subtracting Rational Expressions(Easier) (Requires Factoring!) d. Subtracting Rational Expressions (Harder) (Requires Factoring!) e. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) f. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) g. Finding Equations of Vertical Asymptotes of Rational Functions h. Finding Equations of Horizontal Asymptotes of Rational Functions i. Adding/Subtracting Monomials Rational Expressions (Random) Unit 7: Rational and Radical Relationships. MGSE9-12.A.CED.1,2 a. Area Problems b. Figuring out a Budget (without Sales tax) c. Applying Percents to Numbers d. Calculating Sales Tax and Tip Word Problems e. Figuring out a Budget (with Sales tax) f. Calculating Discounts Word Problems g. Calculating Percent of Increase/Decrease Word Problems h. Solving Percent of Change Problems (Random) Unit 7: Rational and Radical Relationships. MGSE9-12.A.REI.2 a. Solving Equations with Rational Expressions b. Solving Equations with Radical Expressions c. Word Problems of Radical Expressions (Random) Unit 7: Rational and Radical Relationships. MGSE9-12.F.IF.4-5 a. Find the x-intercepts of a Rational Function b. Find the y-intercepts of a Rational Function c. Finding where a Rational Function is positive d. Finding where a Rational Function is negative e. Finding where a Rational Function is increasing f. Finding where a Rational Function is decreasing g. Finding end behavior of a Rational Function h. Finding symmetries of a Rational Function i. Finding maxima and minima of a Rational Function j. Find the domain and range of a Rational Function k. Find the x-intercepts of a Radical Function l. Find the y-intercepts of a Radical Function m. Finding where a Radical Function is positive n. Finding where a Radical Function is negative o. Finding where a Radical Function is increasing p. Finding where a Radical Function is decreasing q. Finding end behavior of a Radical Function r. Finding symmetries of a Radical Function s. Finding maxima and minima of a Radical Function t. Find the domain and range of a Radical Function (Random) Unit 7: Rational and Radical Relationships. MGSE9-12.F.IF.7, 7b, 7d a. Writing Rational Functions from Graphs b. Writing Rational Functions from Words c. Writing Radical Functions from Graphs d. Writing Radical Functions from Words e. Writing Radical Functions from Sets/Tables f. Finding Vertical Asymptotes of Rational Functions g. Finding Horizontal Asymptotes of Rational Functions h. Finding Slant Asymptotes of Rational Functions i. Creating Test Intervals of Rational Functions (Random) Unit 8: Exponential and Logarithms. MGSE9-12.A.SSE.3, 3c a. Calculating Simple Interest Word Problems b. Calculating Compound Interest Word Problems c. Solving for x in Area Problems d. Area Word Problems e. Basic Growth And Decay Problems f. Multiple Bank Account Word Problems (Random) Unit 8: Exponential and Logarithms. MGSE9-12.F.IF.7, 7e, 8, 8b a. Finding Asymptotes of Exponential and Logarithmic Functions b. Finding Domain/Range of Exponential and Logarithmic Functions c. Graphing Exponential Functions d. Graphing Logarithmic Functions e. Find the x-intercepts of a Exponential Function f. Find the y-intercepts of a Exponential Function g. Finding end behavior of a Exponential Function h. Find the x-intercepts of a Logarithmic Function i. Find the y-intercepts of a Logarithmic Function j. Finding end behavior of a Logarithmic Function (Random) Unit 8: Exponential and Logarithms. MGSE9-12.F.BF.5 a. Identifying the Base b. Logarithmic to Exponential c. Exponential to Logarithmic d. Evaluating Logs (by hand) e. Finding Inverses (Random) Unit 8: Exponential and Logarithms. MGSE9-12.F.LE.4 a. Expanding Expressions (easier) b. Expanding Expressions (harder) c. Contracting Expressions (easier) d. Contracting Expressions (harder) e. Solving Equations with Logs f. Evaluating Logs using the Change of Base Formula (Random) Unit 9: Mathematical Modeling. MGSE9-12.A.SSE.4 a. Evaluating Summations of Arithmetic Series (Number Arches Video) b. Finding the n^th term formula for a Geometric Sequence c. Evaluating Finite Summations of Geometric Series d. Evaluating Infinite Summations of Geometric Series e. Calculating Simple Interest Word Problems f. Calculating Compound Interest Word Problems (Random) Unit 9: Mathematical Modeling. MGSE9-12.A.CED.1-4 a. Solving Simple Linear Equations b. Solving Multi-Step Linear Equations (constant on one side) c. Solving Linear Equations with x's on both sides d. Solving Multi-Step Linear Equations e. Solving Linear Inequalities f. Solving Literal Equations g. Setting up Word Problems h. Solving Mixture Problems (Random) Unit 9: Mathematical Modeling. MGSE9-12.A.REI.11 a. Graphically Finding the Roots and Zeros b. Graphically Solving Quadratic Equations c. Factoring to Solve Quadratic Equations (Random) Unit 9: Mathematical Modeling. MGSE9-12.F.IF.6, 9 a. Finding the rate of change of a Rational Function b. Finding the rate of change of a Radical Function c. Finding the rate of change of a Logarithmic Function d. Finding the rate of change of a Linear Function e. Finding the rate of change of a Quadratic Function f. Finding the rate of change of a Polynomial Function g. Finding the rate of change of a Exponential Function h. Comparing Domain and Range for Functions i. Comparing Max and Mins for Functions j. Comparing Intercepts for Functions k. Comparing Attributes of a Function and its Inverse (Random) Unit 9: Mathematical Modeling. MGSE9-12.F.BF.3 a. Transforming a Rational Function b. Transforming a Radical Function c. Transforming a Linear Function d. Transforming a Quadratic Function e. Transforming a Polynomial Function f. Transforming a Exponential Function
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