Florida MAFS 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) MAFS.912.A-APR.3.4-5 Use polynomial identities to solve problems. 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. Defining Binomial Coefficients k. Using Pascal's triangle to find the k^th term of (x + y)ⁿ (Binomial Theorem) l. Using Pascal's triangle to expand (x + y)ⁿ (Binomial Expansion) m. Binomial Theorem n. Identifying Trinomial Factors in Difference of Cubes (Random) MAFS.912.A-APR.4.6-7 Rewrite rational expressions. a. Multiplying Rational Expressions (Easier) (Requires Factoring!) b. Multiplying Rational Expressions (Harder) (Requires Factoring!) c. Dividing Rational Expressions (Easier) (Requires Factoring!) d. Dividing Rational Expressions (Harder) (Requires Factoring!) e. Adding Rational Expressions(Easier) (Requires Factoring!) f. Adding Rational Expressions (Harder) (Requires Factoring!) g. Subtracting Rational Expressions(Easier) (Requires Factoring!) h. Subtracting Rational Expressions (Harder) (Requires Factoring!) i. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) j. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) (Random) MAFS.912.C.1.1-5,9-13 Limits and Continuity a. Finding Limits from Graphs b. Finding Limits Algebraically c. Finding Limits Numerically (Using a Calculator) d. Describing End Behavior as Limits e. Finding Limits of Sequences f. Finding Points of Discontinuity (Graphs) g. Finding Points of Discontinuity (Expressions) h. Calculating Average Rate of Change i. Calculating Instantaneous Rate of Change j. Writing a composite function as the Composition of 2 Functions k. Fixing [f(x+h)-f(x)]/h for Polynomials l. Fixing [f(x+h)-f(x)]/h for Rationals m. Fixing [f(x+h)-f(x)]/h for Radicals n. Applying Intermediate Value Theorem to find Zeros (Random) MAFS.912.F-BF.1.1 Build a function that models a relationship between two quantities. a. Exponential Growth b. Direct Variation Word Problems c. Quadratic Word Problems - finding max/min d. Quadratic Word Problems - finding f(a) e. Quadratic Word Problems - finding x where f(x) = a 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. Exponential Word Problems - finding y-intercepts k. Exponential Word Problems - finding f(a) l. Exponential Word Problems - finding x where f(x) = a m. Rational Word Problems - finding horizontal asymptotes n. Rational Word Problems - finding f(a) o. Rational Word Problems - finding x where f(x) = a p. Radical Word Problems - finding f(a) q. Radical Word Problems - finding x where f(x) = a (Random) MAFS.912.F-BF.2.4 Build new functions from existing functions. a. Finding Inverses of Functions b. Finding Composition of Functions c. Using Composition of Functions to Identify Inverse Functions d. Identifying Equations (from charts, sets, and scatterplots) (Random) MAFS.912.F-TF.1.1-4 Extend the domain of trigonometric functions using the unit circle. a. Recognize and draw an angle in standard position. b. Show how a point on the terminal side of an angle determines a reference triangle. c. Find angles that are coterminal with a given angle. d. Given one trigonometric function value, find the other five trigonometric function values. e. Using the Unit Circle and Arc Length to see Radians. f. Finding the Reference Angle g. Finding Trigonometric Functions given coordinates on a Unit Circle h. Finding Trigonometric Functions of Special Angles (Degrees) i. Finding Trigonometric Functions of Special Angles (Radians) j. Converting from Radians to Degrees k. Converting from Degrees to Radians l. Converting from Degrees Minutes and Seconds to Degrees m. Converting from Degrees to Degrees Minutes and Seconds	(Random) MAFS.912.F-TF.2.5-7 Model periodic phenomena with trigonometric functions. 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) MAFS.912.F-TF.3.8-9 Prove and apply trigonometric identities. a. Define the six circular trigonometric functions of an angle in standard position. b. Make the connection between the triangular and circular trigonometric functions. c. Simplifying Pythagorean Identities d. Verifying Pythagorean Identities e. Simplifying Basic Trigonometric Identities f. Verifying Basic Trigonometric Identities g. Simplifying Harder Basic Trigonometric Identities h. Verifying Harder Basic Trigonometric Identities i. Verifying Identities involving Double/Half Angle Formulas j. Applying Sum/Difference Formulas (Random) MAFS.912.G-GPE.1.1-3 Translate between the geometric description and the equation for a conic section. a. Graphing a Circle b. Graphing an Ellipse c. Graphing a Parabola d. Graphing a Hyperbola e. Identifying the Type of Conic from an Equation or a Picture f. Identifying the Type of Conic using the Discriminant g. Changing Equations to Standard Form (Completing the Square) h. Changing Equations to Standard Form (Another Method) i. Graphing Pictures of Conics (Equations in General form) j. Calculate Eccentricity of Conics (Random) MAFS.912.G-SRT.3.8 Define trigonometric ratios and solve problems involving right triangles. a. Define the six triangular trigonometric functions of an angle in a right triangle. b. Solve Right Triangles (Random) MAFS.912.G-SRT.4.9-11 Apply trigonometry to general triangles. a. Finding the Number of Solutions in A.S.S. Case b. Using Law of Sines c. Using Law of Cosines d. Finding Area using Sine e. Finding Area using Heron's Formula f. Word Problems (Random) MAFS.912.N-CN.1.3 Perform arithmetic operations with complex numbers. a. Identifying the Complex Conjugate b. Identifying the Radical Conjugate (Random) MAFS.912.N-CN.2.4-5 Represent complex numbers and their operations on the complex plane. 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) MAFS.912.N-CN.3.9 Use complex numbers in polynomial identities and equations. a. Using the Rational Roots Theorem b. Using Descartes's Rule of Signs c. Finding Zeros of Polynomials (Random) MAFS.912.N-VM.1.1-3 Represent and model with vector quantities. 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) MAFS.912.N-VM.2.4-5 Perform operations on vectors. a. Adding and Subtracting Vectors b. Multiplying a Vector by a Constant c. Finding a Unit Vector d. Vector Word Problems
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