Pre-AP 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) 1.1.1 Choosing Appropriate Function Models - From Word Problems a. Function Model Selection and Assumption Articulation - Linear Word Problems b. Function Model Selection and Assumption Articulation - Quadratic Word Problems c. Exponential Function Context and Data Modeling - Modeling Growth and Decay Patterns d. Identifying the Best Fit Equation type from a Data Set or a Scatterplot (Random) 1.1.2 Choosing Appropriate Function Models - Looking at Residual a. Checking residuals of regression - Looking for no pattern (Random) 1.1.3 Choosing Appropriate Function Models - Construct Representations a. Finding best fit for scatterplots of a Linear Function b. Finding best fit for scatterplots of a Quadratic Function c. Finding best fit for scatterplots of a Exponential Function (Random) 1.1.4 Choosing Appropriate Function Models - Predict the values of the dependent variable a. Linear Word Problems - finding f(a) b. Quadratic Word Problems - finding x-intercepts c. Exponential Word Problems - finding f(a) d. Exponential Word Problems (Random) 1.2.1 Rate of Change - Average Rate of Change a. Calculating Average Rate of Change b. Rates of Change in Linear and Quadratic Functions - Finding Rate of Change for Linear functions c. Rates of Change in Linear and Quadratic Functions - Finding Rate of Change for Quadratic functions (Random) 1.2.2 Rate of Change - with Estimation a. Rates of Change - Understanding Rates of Change b. Using average rate of change to approximate values (Random) 1.3.1 Piecewise Models - Definition a. Finding Domain of Piecewise Functions b. Finding Range of Piecewise Functions c. Graphing Linear Piecewise Functions d. Graphing Piecewise Functions (Random) 1.3.2 Piecewise Models - Evaluating a. Evaluating Piecewise Functions (Random) 1.3.3 Piecewise Models - Absolute Value a. Solving Absolute Value Equations (1 variable) b. Graphing an Absolute Value Equation (2 variables) c. Reading Absolute Value Graph (2 variables) (Random) 2.1.1 Composing Functions - Determining Output a. Composition of Functions - Calculating Composite functions via tables and graphs b. Evaluating Compositions (Random) 2.1.2 Composing Functions - Composing Functions a. Finding Composition of Functions b. Finding Values of Functions (composition) (Random) 2.1.3 Composing Functions - Equivalent forms a. Writing a composite function as the Composition of 2 Functions (Random) 2.2.1 Tranforming Functions - Additive transformations a. Identifying Transformations - Additive transformations b. Writing the Equation of a Transformed Function - Additive Transformations (Random) 2.2.2 Tranforming Functions - Multiplicative transformations a. Identifying Transformations - Multiplicative transformations b. Writing the Equation of a Transformed Function - Multiplicative Transformations (Random) 2.2.3 Tranforming Functions - Constructing Representations a. Identifying Transformations of Functions b. Graphing Functions through Transformations c. Writing Transformed Functions d. Describing the Transformation of a Basic Function e. Writing the Equation of a Transformed Function (Random) 2.3.1 Inverting Functions - Finding inverse values a. Finding the Inverse (Random) 2.3.2 Inverting Functions - Logarithms a. Logarithmic Expressions - Understanding Logs b. Logarithmic Expressions - Changing Forms c. Inverses of Exponential Functions - Understanding Inverses of Logs d. Logarithmic Functions - Domain and Range (Random) 2.3.3 Inverting Functions - Domains of Inverses a. Inverse Functions - Domain and Range b. Finding domain/range of inverse functions (Random) 2.3.3 Inverting Functions - Finding Inverses a. Finding Inverses of Functions b. Finding Inverses (Random) 2.3.3 Inverting Functions - Verifying Inverses a. Using Composition of Functions to Identify Inverse Functions (Random) 3.1.1 Exponential and Logarithmic Functions - Exponential Functions a. Solving Word Problems about Compound Interest b. Exponential Function Context and Data Modeling - Modeling Growth and Decay Patterns (Random) 3.1.2 Exponential and Logarithmic Functions - Graphing Exponential Functions a. Exponential Function Manipulation - Transformations b. Graphing Exponential Functions (Random) 3.1.3 Exponential and Logarithmic Functions - Graphing Logarithmic Functions a. Finding Asymptotes of Exponential and Logarithmic Functions b. Finding Domain/Range of Exponential and Logarithmic Functions c. Graphing Logarithmic Functions (Random) 3.1.4 Exponential and Logarithmic Functions - Transforming Logarithmic Functions a. Logarithmic Function Manipulation - Expanding Logs b. Logarithmic Function Manipulation - Compressing Logs c. Logarithmic Function Manipulation - Change of Base d. Logarithmic Function Manipulation - Changing Bases with Variables (Random) 3.1.5 Exponential and Logarithmic Functions - Using Inverses a. Changing from Logarithmic to Exponential Form b. Changing from Exponential to Logarithmic Form (Random) 3.1.6 Exponential and Logarithmic Functions - Solving Equations a. Solving Equations with Logs b. Solving Exponential Equations Using Substitution c. Using Change of Base Formula (Random) 3.2.1 Polynomial and Rational Functions - From Word Problems and Data sets a. Polynomial Word Problems - finding y-intercepts b. Polynomial Word Problems - finding x-intercepts c. Polynomial Word Problems - finding f(a) (Random) 3.2.2 Polynomial and Rational Functions - Factors and Roots a. Relating Factors, Zeros and X-Intercepts b. Finding Zeros of a Polynomial c. Finding zeros of a Polynomial from a Graph d. Finding Zeros of Functions e. Finding a Polynomial equation from Zeros (Random) 3.2.3 Polynomial and Rational Functions - Key features of Graphs a. Describing End Behavior of Polynomials b. Finding Zeros of a Polynomial c. Graphing a Polynomial d. Finding zeros of a Polynomial from a Graph e. Finding the X-Intercepts of a Polynomial f. Finding a Polynomial equation from Zeros (Random) 3.2.4 Polynomial and Rational Functions - Complex Numbers a. Fixing Radicals into Imaginary Numbers b. Simplifying iⁿ c. Adding Complex Numbers d. Subtracting Complex Numbers e. Multiplying Complex Numbers f. Dividing Complex Numbers g. Solving Quadratics that have Imaginary Solutions h. Solving Quadratics (both imaginary and real solutions)	(Random) 3.2.5 Polynomial and Rational Functions - Rational Functions a. Writing Rational Functions from Graphs b. Writing Rational Functions from Words c. Solving for the domain of a Rational Function given an element of the range d. Find the value of a Rational Function (Random) 3.2.5 Polynomial and Rational Functions - Key Features for Rational Functions a. Find the domain and range of a Rational Function b. Find the x-intercepts of a Rational Function c. Find the y-intercepts of a Rational Function d. Finding vertical asymptotes of a Rational Function e. Finding horizontal asymptotes of a Rational Function f. Finding zeros of a Rational Function g. Finding end behavior of a Rational Function (Random) 3.3.1-2 Square Root and Cube Root Functions - Square Roots and Cube Roots a. Writing Radical Functions from Words b. Writing Radical Functions from Sets/Tables c. Radical Word Problems - finding f(a) d. Radical Word Problems - finding x where f(x) = a (Random) 3.3.3 Square Root and Cube Root Functions - Inverses a. Finding the inverse of a Radical Function b. Finding the inverse of a Quadratic Function (Random) 3.3.4 Square Root and Cube Root Functions - Solving Equations a. Solving Equations with Radical Expressions b. Word Problems of Radical Expressions (Random) 4T.1.1 Radian Measure and Sinusoidal Functions - Radians a. Converting from Radians to Degrees b. Converting from Degrees to Radians c. Using the Unit Circle and Arc Length to see Radians (Random) 4T.1.2 Radian Measure and Sinusoidal Functions - Coterminal Angles a. Find Coterminal Angles b. Find angles that are coterminal with a given angle. (Random) 4T.1.3 Radian Measure and Sinusoidal Functions - Sinusoidal Functions a. Periodic Phenomena - Graphing Periodic Functions b. Periodic Phenomena - Figuring out the Period c. Sine and Cosine Functions - Basic Facts and Graphs of parent Functions d. Sine and Cosine Functions - Graphing Sin/Cos by Chart (Random) 4T.1.4 Radian Measure and Sinusoidal Functions - Determining Coordinates on a 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. Finding Sine and Cosine given coordinates on the Unit Circle d. Finding Sine and Cosine of Special Angles (Degrees) e. Finding Sine and Cosine of Special Angles (Radians) f. Finding Sine and Cosine given coordinates on the terminal side of an angle in Standard Position (Random) 4T.1.5 Radian Measure and Sinusoidal Functions - Key Characteristics of a Sinusoidal Function a. Sinusoidal Functions - Writing Equations with Period and Frequency b. Sinusoidal Functions - Writing Equations with Amplitude Changes c. Sinusoidal Functions - Writing Equations with Midline Changes d. Sinusoidal Function Transformations - Sketching Graphs with Period Changes e. Sinusoidal Functions Transformations - Sketching Graphs with Phase Shift Changes f. Sinusoidal Functions Transformations - Sketching Graphs with Vertical Shift Changes g. Sinusoidal Functions Transformations - Sketching Sin/Cos Graphs (Random) 4T.1.6 Radian Measure and Sinusoidal Functions - Models a. Sinusoidal Function Context and Modeling - Using sinusoidal to find Max and Min values b. Sinusoidal Function Context and Modeling - Using Max and Min values to Model a sinusoidal c. Sinusoidal Function Context and Modeling - Writing an equation from a Graph d. Sinusoidal Function Context and Modeling - Modeling a sinusoidal (identifying facts and writing equations) (Random) 4T.1.7 Radian Measure and Sinusoidal Functions - Pythagorean Theorem a. Using the Pythagorean Identity with just Sine and Cosine (Random) 4T.2.1 Tangent Function and Other Trig Functions - Tangent a. Sine, Cosine, and Tangent - Finding Sin/Cos/Tan given coordinates on the Unit Circle b. Sine, Cosine, and Tangent - Finding Sin/Cos/Tan of Special Angles (Degrees) c. Sine, Cosine, and Tangent - Finding Sin/Cos/Tan of Special Angles (Radians) d. The Tangent Function - Comparing Tangent to Sin/Cos e. The Tangent Function - Tangent compared to slope to a terminal point f. The Tangent Function - Period of a Tangent Function g. The Tangent Function - Comparing Tangent to Sin/Cos h. The Tangent Function - Tangent compared to slope to a terminal point i. The Tangent Function - Period of a Tangent Function j. The Tangent Function - Asymptotes of Tangent Functions (Random) 4T.2.2 Tangent Function and Other Trig Functions - Secant, Cosecant, and Cotangent a. The Secant, Cosecant, and Cotangent Functions - Values on the Unit Circle (Degrees) b. The Secant, Cosecant, and Cotangent Functions - Values on the Unit Circle (Radians) c. The Secant, Cosecant, and Cotangent Functions - Values found given coordinates on the terminal side of an angle in standard position (Random) 4T.3.1 Inverting Trigonometric Functions - Inverse Functions a. Inverse Trigonometric Functions - Inverses of Sin, Cos and Tan b. Finding Domain and Range of Trig and Inverse Trig Functions c. Using Inverse Functions d. Using Inverse Functions with Variables e. Define inverse trigonometric functions. (Random) 4T.3.2 Inverting Trigonometric Functions - Solving Equations a. Trigonometric Equations and Inequalities - Equations b. Solving Trigonometric Equations with Restricted Domains c. Solving Trigonometric Equations with Infinite Solutions (Random) 4M.1.1 Geometric Transformations - Linear Transformations a. Linear Transformations and Matrices - Linear Transformations (Random) 4M.1.2 Geometric Transformations - Multiple Representations a. Matrices - Identifying Matrix Elements and Size b. Matrices as Functions - Matrices of Linear Transformations c. Matrices as Functions - Matrices of Rotational Transformations (Random) 4M.1.3 Geometric Transformations - Multiplying Matrices a. Matrices - Multiplying Matrices b. Matrices - Multiplying Matrices with Variables (Random) 4M.1.4 Geometric Transformations - Determine the image with Linear Transformations a. Linear Transformations and Matrices - Applying Linear Transformations to multiple Vectors (Random) 4M.1.5 Geometric Transformations - Determinants a. The Inverse and Determinant of a Matrix - Finding Matrix Determinants 2x2 b. Using Determinants of Matrices to find the area of a triangle c. Identifying Transformations - Multiplicative transformations (Random) 4M.1.6 Geometric Transformations - Sequences of Transformations a. Writing the Equation of a Transformed Function - Multiplicative Transformations (Random) 4M.1.7 Geometric Transformations - Inverses of Square Matrices a. The Inverse and Determinant of a Matrix - Finding Matrix Inverses for a 2x2 matrix b. The Inverse and Determinant of a Matrix - Verifying Inverse Matrices (Random) 4M.1.8 Geometric Transformations - Determining Pre-Image a. Solving a System of Equations with Matrices (Random) 4M.2.1 Solving Systems with Matrices - Setting Up The Matrix a. Setting up a System of Equations with Matrices (Random) 4M.2.2 Solving Systems with Matrices - Solving the System a. Solving a System of Equations with Matrices (Random) 4M.2.3 Solving Systems with Matrices - Modeling any Sequence a. Function Model Selection and Assumption Articulation - Finding a Polynomial Given a Sequence (Random) 4M.3.1 Applications of Matrix Multiplication - Populations a. Setting up Markov Chain Models (Random) 4M.3.2 Applications of Matrix Multiplication - Word Problems with Populations a. Using Markov Chain Models to predict the future (Random) 4M.3.3 Applications of Matrix Multiplication - Stabilization of Populations a. Finding Stabilization points for Markov Chain Models (Random) 4M.3.4 Applications of Matrix Multiplication - Word Problems (going backwards) a. Determining a previous point in a Markov Chain Model
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