Georgia GSE Analytic Geometry

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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: Similarity, Congruence, and Proofs. MGSE9-12.G.SRT.1-3 a. Writing Similarity Statements and Statements of Proportion for Triangles b. Using Triangle Similarity Theorems c. Filling in Reasons when Proving Triangles are Similar d. Proving Triangles are Similar e. Using Triangle Similarity to find a Missing Point f. Finding the Scale Factor g. Using Proportions in Similar Triangles h. Using Proportional Reasoning with Similar Objects i. Using Scale Factors in Dilations (Random) Unit 1: Similarity, Congruence, and Proofs. MGSE9-12.G.SRT.4-5 a. Simplifying Radicals b. Finding the Geometric Mean c. Using the Pythagorean Theorem Converse (Classifying Triangles) d. Using Right Triangles with Altitudes (Random) Unit 1: Similarity, Congruence, and Proofs. MGSE9-12.G.CO.6-8 a. Writing Congruence Statements for Triangles b. Using Triangle Congruence Theorems c. Filling in Reasons for Proving Triangles are Congruent d. Proving Triangles are Congruent e. Using Triangle Congruence to find a Missing Point f. Filling in Reasons when Using CPCTC in Proofs g. Using CPCTC in Proofs h. Proving Congruent with Coordinate Proofs (Random) Unit 1: Similarity, Congruence, and Proofs. MGSE9-12.G.CO.9-11 a. Identifying Complementary, Supplementary, and Congruent Angles b. Using Complementary, Supplementary, and Congruent Angles c. Using the Definition of Bisect d. Using the Vertical Angle Theorem e. Using the Linear Pair Postulate f. Using the Triangle Sum Theorem to Find Angle Measures g. Using the Exterior Angle Theorem to Find Angle Measures h. Finding Angle Measures (Combinations of the Above) i. Naming Angle Pairs when given Two Lines and a Transversal (does not include same side exterior) j. Identifying Angle Relationships when given Two Parallel Lines and a Transversal k. Deciding when Lines are Parallel Given Two Lines and a Transversal l. Finding the value of x to prove two Lines are Parallel m. Filling in Reasons for Proofs Involving Transversals n. Proofs Involving Transversals o. Identifying Angle Bisectors, Perpendicular Bisectors, Medians, Altitudes, and Midsegments p. Finding the Endpoints of the Triangle given the Endpoints of the Midsegments q. Using Midsegments in Triangles r. Identifying Properties of Parallelograms s. Proving Quadrilaterals are Parallelograms (Random) Unit 1: Similarity, Congruence, and Proofs. MGSE9-12.G.CO.12-13 a. Identifying Constructions b. Using Constructions (Basic) c. Using Constructions (Complex) (Random) Unit 1: Similarity, Congruence, and Proofs. MGSE9-12.G.GPE.4 a. Proving Quadrilaterals are Special Parallelograms using Coordinate proofs (Random) Unit 2: Right Triangle Trigonometry. MGSE9-12.G.SRT.6-8 a. Using the Pythagorean Theorem b. Using Special Right Triangles c. Finding Trigonometric Functions from Triangles d. Solving Ratios with Trigonometric Functions e. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths f. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles g. Solving Right Triangles (Random) Unit 3: 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 3: 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 4: Extending the Number System. MGSE9-12.N.RN.2-3 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 n. Classifying Numbers into Fields (Natural, Whole, Real, etc.) (Random) Unit 4: Extending the Number System. 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 g. Identifying Field properties (distributive, associative, etc) (Integers) h. Identifying Field properties (Polynomials) i. Identifying Field properties (Complex Numbers) (Random) Unit 5: Quadratic Functions. MGSE9-12.A.SSE.1-2, 1a, 1b a. Multiplying Polynomials b. Using Synthetic Division c. Using Long Division d. Using Box Division e. Dividing Polynomials by a Binomial (requires factoring) f. Identifying GCFs g. Factoring out Monomials h. Factoring Trinomials with hints i. Factoring Trinomials (a=1) (Grid Factoring Video) j. Factoring Trinomials (a>1) (Grid Factoring Video) k. Factoring Difference of Squares l. Factoring Perfect Square Trinomials	(Random) Unit 5: Quadratic Functions. MGSE9-12.A.SSE.3, 3a, 3b a. Multiplying Monomials (includes negative exponents) b. Dividing Monomials (includes negative exponents) c. Dividing Polynomials by a Monomial (no factoring needed) d. Solving for x in Area Problems e. Area Word Problems f. Factoring to Solve Quadratic Equations (Random) Unit 5: Quadratic Functions. MGSE9-12.A.CED.1,2,4 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 Simple Interest Word Problems h. Calculating Compound Interest Word Problems i. Calculating Percent of Increase/Decrease Word Problems j. Solving Percent of Change Problems (Random) Unit 5: Quadratic Functions. MGSE9-12.A.REI.4, 4a, 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 e. Identifying the Number of Solutions of a Quadratic Using the Discriminant f. Solving Quadratics By The Square-Root Method g. Solving Quadratics by Graphing h. Solving Quadratics by Factoring i. Solving Quadratics by Completing the Square (Random) Unit 5: Quadratic Functions. MGSE9-12.F.IF.4-6 a. Finding where a Quadratic Function is increasing b. Finding where a Quadratic Function is decreasing c. Finding the rate of change of a Quadratic Function d. Finding the Min/Max of a Parabola from Standard Form e. Finding the Vertex of a Parabola from Standard Form f. Finding the Axis of Symmetry of a Parabola from Standard Form (Random) Unit 5: Quadratic Functions. MGSE9-12.F.IF.7-9, 7a, 8a a. Find the x-intercepts of a Quadratic Function b. Find the y-intercepts of a Quadratic Function c. Finding end behavior of a Quadratic Function d. Finding maxima and minima of a Quadratic Function e. Finding Maximum and Minimum Values in Graphs f. Finding the Min/Max of a Parabola from a Graph g. Finding the Axis of Symmetry of a Parabola from a Graph h. Finding the Vertex of a Parabola from a Graph (Random) Unit 5: Quadratic Functions. MGSE9-12.F.BF.1, 1a 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 (Random) Unit 5: Quadratic Functions. MGSE9-12.F.BF.3 a. Describing the Transformation of a Basic Function b. Writing the Equation of a Transformed Function c. Transforming a Quadratic Function (Random) Unit 5: Quadratic Functions. MGSE9-12.F.LE.3 a. Expressing Solutions to Quadratic Equations in a Table b. Perimeter and Area Problems (Random) Unit 5: Quadratic Functions. MGSE9-12.S.ID.6, 6a a. Finding the Line of Best Fit from a Table or Scatter Plot b. Predicting with the Line of Best Fit c. Finding the Curve of Best Fit d. Finding best fit for scatterplots of a Quadratic Function (Random) Unit 6: 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 6: Geometric and Algebraic Connections. MGSE9-12.G.GPE.4 a. Using the Midpoint Formula b. Using the Formula for Slope c. Writing Equations of Parallel Lines d. Writing Equations of Perpendicular Lines e. Identifying Parallel, Perpendicular, and Oblique from Equations f. Identifying Parallel, Perpendicular, and Skew g. Finding Area and Perimeter of Rectangles and Squares (Given Coordinates) h. Finding Area and Perimeter of Triangles (Given Coordinates) i. Finding Area and Circumference of Circles (Given Coordinates) j. Finding Angles, Sides, and Diagonals in Parallelograms k. More complicated problems with Parallelograms l. Finding Points using Slope (Random) Unit 6: 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 7: 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 7: 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
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