Georgia GSE Accelerated <br>Pre-Calculus

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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: Introduction to Trigonometric Functions. MGSE9-12.F.IF.4, 7, 7e a. Basic Facts and Graphs of parent Trigonometric Functions b. Determining Amplitude in Graph and Equation c. Writing Equations of Amplitude and Vertical Stretch Changes d. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips e. Determining Period in Graph and Equation f. Writing Equations of Period Changes g. Sketching Graphs with Period Changes h. Determining Phase Shift in Graph and Equation i. Writing Equations of Phase Shift Changes j. Sketching Graphs with Phase Shift Changes k. Determining Vertical Shift in Graph and Equation l. Writing Equations of Vertical Shift Changes m. Sketching Graphs with Vertical Shift Changes n. Sketch the Graph of a Trigonometric Function o. Writing Equations of Trigonometric Functions From Graphs p. Graphing Cos/Sin by Chart q. Graphing Sec/Csc by Chart r. Graphing Tan/Cot by Chart s. Finding key values in Compound Trigonometric Functions (Random) Unit 1: Introduction to Trigonometric Functions MGSE9-12.F.TF.1-2 a. Recognize and draw an angle in standard position. b. Using the Unit Circle and Arc Length to see Radians. c. Finding the Reference Angle d. Converting from Radians to Degrees e. Converting from Degrees to Radians f. Converting from Degrees Minutes and Seconds to Degrees g. Converting from Degrees to Degrees Minutes and Seconds (Random) Unit 1: Introduction to Trigonometric Functions MGSE9-12.F.TF.5 a. Basic Facts and Graphs of parent Trigonometric Functions b. Determining Amplitude in Graph and Equation c. Writing Equations of Amplitude and Vertical Stretch Changes d. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips (Random) Unit 1: Introduction to Trigonometric Functions MGSE9-12.F.TF.8 a. Define the six triangular trigonometric functions of an angle in a right triangle. b. Define the six circular trigonometric functions of an angle in standard position. c. Make the connection between the triangular and circular trigonometric functions. d. Given one trigonometric function value, find the other five trigonometric function values. e. Simplifying Pythagorean Identities f. Verifying Pythagorean Identities (Random) Unit 2: Trigonometric Functions MGSE9-12.F.BF.4, 4d a. Finding Domain and Range of Trig and Inverse Trig Functions b. Inverse Trigonometric Functions (Random) Unit 2: Trigonometric Functions MGSE9-12.F.TF.3-4 a. Finding Trigonometric Functions given coordinates on a Unit Circle b. Finding Trigonometric Functions of Special Angles (Degrees) c. Finding Trigonometric Functions of Special Angles (Radians) d. Applying the Unit Circle to find Domain/Range Even/Odd Period e. Relationships Between Trig Functions (Random) Unit 2: Trigonometric Functions MGSE9-12.F.TF.6-7 a. Using Inverse Functions b. Using Inverse Functions with Variables (Random) Unit 3: Trigonometry of General Triangles MGSE9-12.G.SRT.9-11 a. Solve Right Triangles b. Finding the Number of Solutions in A.S.S. Case c. Using Law of Sines d. Using Law of Cosines e. Finding Area using Sine f. Finding Area using Heron's Formula g. Word Problems (Random) Unit 4: Trigonometric Identities MGSE9-12.G.TF.9 a. Using Reciprocal Identities b. Using Pythagorean Identities c. Using Quotient Identities d. Using Sum and Difference Formulas e. Using Double Angle Formulas f. Using Half Angle Formulas g. Solving Trigonometric Equations with Restricted Domains h. Solving Trigonometric Equations with Infinite Solutions i. Simplifying Pythagorean Identities j. Proving Pythagorean Identities k. Simplifying Basic Trigonometric Identities l. Proving Basic Trigonometric Identities m. Simplifying Harder Basic Trigonometric Identities n. Proving Harder Basic Trigonometric Identities o. Simplifying Identities involving CoFunction and Even/Odd p. Proving Identities involving CoFunction and Even/Odd q. Proving Identities involving Sum/Difference Formulas r. Proving Identities involving Double/Half Angle Formulas (Random) Unit 5: Matrices MGSE9-12.N.VM.6-10, 12 a. Adding/Subtracting Matrices b. Adding/Subtracting Matrices with Variables c. Multiplying Matrices d. Multiplying Matrices with Variables e. Matrix Word Problems f. Finding Determinants of Matrices g. Using Determinants of Matrices to find the area of a triangle h. Solving a System with Augmented Matrix i. Finding Inverse with Augmented Matrix j. Verifying Matrix Inverses through Multiplication k. Examining Matrix Transformations (Random) Unit 5: Matrices MGSE9-12.A.REI.8-9 a. Finding Matrix Inverses b. Solving a System of Equations with Matrices c. Setting up a System of Equations with Matrices	(Random) Unit 6: Conics MGSE9-12.G.GPE.2-3 a. Finding the Min/Max of a Parabola from a Graph b. Finding the Vertex of a Parabola from a Graph c. Finding the Axis of Symmetry of a Parabola from a Graph 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 g. Using the Focus and Directrix to Write a Parabola Equation h. Graphing a Circle i. Graphing an Ellipse j. Graphing a Parabola k. Graphing a Hyperbola l. Identifying the Type of Conic from an Equation or a Picture m. Identifying the Type of Conic using the Discriminant n. Changing Equations to Standard Form (Completing the Square) o. Changing Equations to Standard Form (Another Method) p. Graphing Pictures of Conics (Equations in General form) (Random) Unit 6: Conics MGSE9-12.A.REI.7 a. Solving Nonlinear Systems of Equations using Linear Combination b. Solving Nonlinear Systems of Equations using Substitution c. Solving Nonlinear Systems of Equations using Graphing d. Solving a System of Equations with Matrices (Random) Unit 7: Vectors MGSE9-12.N.CN.3 a. Identifying the Complex Conjugate b. Identifying the Radical Conjugate (Random) Unit 7: Vectors MGSE9-12.N.CN.4-5 a. Changing Points to Rectangular Form b. Changing Points to Polar Form c. Changing Equations to Rectangular Form d. Changing Equations to Polar Form e. Classifying Polar Equations f. Drawing Polar Equations g. Testing for Symmetry in Polar Equations h. Writing a Complex Number in Trigonometric Form (and visa-versa) i. Multiplying and Dividing Complex Numbers j. Applying DeMoivre's Theorem (Random) Unit 7: Vectors MGSE9-12.N.CN.6 a. Distance Between Complex Numbers b. Midpoint of Complex Numbers (Random) Unit 7: Vectors MGSE9-12.N.VM.1-3 a. Using Vector Notation b. Finding the Dot Product c. Identifying Parallel Vectors d. Identifying Orthogonal Vectors e. Finding Magnitude of a Vector f. Finding the Direction (from the Horizontal) (Requires Trig!) (Random) Unit 7: Vectors MGSE9-12.N.VM.4-5, 4a, 4b, 4c, 5a, 5b a. Adding and Subtracting Vectors b. Multiplying a Vector by a Constant c. Finding a Unit Vector d. Vector Word Problems e. Graph vectors and resultant vectors f. Find the norm (magnitude) of a vector. g. Find vector components (Random) Unit 7: Vectors MGSE9-12.N.VM.11 a. Perform inner (dot) product on vectors (Random) Unit 8: Inferences and Conclusions from Data. MGSE9-12.S.ID.2 a. Comparing Center and Spread b. Comparing Box and Whisker Plots c. Comparing the Mean Absolute Deviation and Standard Deviation d. Comparing Two Normal Curves (with Z-Scores) (Random) Unit 8: Inferences and Conclusions from Data. MGSE9-12.S.ID.4 a. Finding Mean, Median and Mode b. Identifying the Meaning of Mean, Median and Mode c. Finding Standard Deviation (s) d. Finding Standard Deviation (σ) e. Finding the Z-Score f. Using Tables of the Normal Distribution (given z-score) g. Properties of Normal and Standard Normal Distributions h. Using Tables of the Normal Distribution (given a sample piece of data) i. Using Tables of the Normal Distribution (given probability) (Random) Unit 8: Inferences and Conclusions from Data. MGSE9-12.S.IC.1-2 a. Descriptive vs. Inferential b. Qualitative vs. Quantitative c. Sample vs. Population d. Parameter vs. Statistic e. Statistical Terms Given Situations f. Simulation of Random Behavior and Probability Distributions (Random) Unit 8: Inferences and Conclusions from Data. MGSE9-12.S.IC.3-6 a. Census b. Sample Survey c. Experiment d. Observational Study (Random) Unit 9: Probability MGSE9-12.S.CP.8-9 a. Multiplication Rule b. Probability Trees c. Probability using Combinatorics d. Probability with Replacement e. Probability without Replacement f. Identifying Permutations and Combinations g. Calculating Permutations (And other cases where order matters) h. Calculating Combinations i. Calculating Rearrangements of Words (Random) Unit 9: Probability MGSE9-12.S.MD.1-4 a. Discrete vs. Continuous Random Variables b. Probability Distributions c. Mean of a Discrete Random Variable d. Variance and Standard Deviation of a Discrete Random Variable (Random) Unit 9: Probability MGSE9-12.S.MD.5-7, 5a, 5b a. Definition of a Binomial Probability Distribution b. Mean and Standard Deviation of Binomial Distributions c. Estimating Costs
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