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Represent arithmetic and geometric Converting an explicit function to a recursive function. sequences recursively, Determine the explicit form of a. recursive sequence, 3 2 Learning Targets, Represent arithmetic and geometric. sequences recursively, Determine the explicit form of a. recursive sequence, Activity 4 Exponential Functions and Equations. Exponential Functions Exponential growth functions. 4 1 Learning Targets, Write graph analyze and model with Graphing exponential functions.

exponential functions Solving exponential equation. Solve exponential equations Modeling with Exponential Functions. 4 2 Learning Targets, Write graph analyze and model with Exponential growth and decay word problems. exponential functions Decay of cesium 137 example, Calculate compound interest Modeling ticket fines with exponential function. Solve exponential equations, 4 3 Learning Targets Compound Interest. Write graph analyze and model with Introduction to compound interest and e. exponential functions, Compound interest and e part 2. Calculate compound interest, Solve exponential equations Compound interest and e part 3.

Compound interest and e part 4, Activity 5 Common and Natural Logarithms. Logarithms Comparing exponential and logarithmic functions. 5 1 Learning Targets Graphing logarithmic functions. Explore the inverse relationship between, Matching functions to their graphs. exponents and logarithms, Graph logarithmic functions and analyze Graphs of logarithmic functions. key features of the graphs Using Properties and the Change of Base Formula. 5 2 Learning Targets Introduction to logarithm properties. Apply the Change of Base Formula, Introduction to logarithm properties part 2. Use properties of logarithms to evaluate, and transform expressions Logarithm of a power.

5 3 Learning Targets Sum of logarithms with same base. Solve exponential equations by taking the, Using multiple logarithm properties to simplify. logarithm of both sides, Use properties of exponents and Change of base formula. logarithms to solve logarithmic equations Solving Logarithmic Equations. Solving exponential equation with logarithm, Solving exponential equation. Solving logarithmic equations, Solving logarithmic equations. Activity 6 Transforming Functions, Transformations of Functions Recognizing odd and even functions.

6 1 Learning Targets Connection between even and odd numbers and. Graph transformations of functions and functions, write the equations of the transformed. Recognizing features of functions example 1, Describe the symmetry of the graphs of Recognizing features of functions example 2. even and odd functions Recognizing features of functions example 3. 6 2 Learning Targets, Function Operations, Add subtract multiply and divide. Sum of functions, Transform and perform operations with Difference of functions. piecewise defined functions Product of functions, Quotient of functions.

Activity 7 Finding a regression Line, Modeling with Power Functions Fitting a line to data. 7 1 Learning Targets Squared error of regression line. Write an equation that models a data set, Regression line example. Transform data to determine whether a, power function is a good model for a data Second regression example. 7 2 Learning Targets, Graph power functions, Identify and analyze key features of the. graphs of power functions, Activity 8 Composition of Functions.

Compositions of Functions and Inverses Introduction to function composition. 8 1 Learning Targets Creating new function from composition. Determine the composition of two, Evaluating composite functions example. Determine the inverse of a function Modeling with function composition. Inverse Functions, 8 2 Learning Targets Introduction to function inverses. Find the inverse of a function, Function inverse example 1. Restrict the domain of a function so that its, inverse is also a function Function inverses example 2. Function inverses example 3, Unit 2 Functions and Their Graphs.

Activity 9 Polynomial Functions End Behavior, Polynomials. Polynomial end behavior, 9 1 Learning Targets, Compare models to best fit a data set Polynomial end behavior example. Another polynomial end behavior example, Use a polynomial regression to make Polynomial end behavior exercise example. predictions, 9 2 Learning Targets, Describe and analyze graphs of polynomial. Graph polynomial functions using, technology, Activity 10 Fundamental Theorem of Algebra.

Analyzing Polynomial Functions Fundamental theorem of algebra. 10 1 Learning Targets, Analyze end behavior and zeros to sketch Fundamental theorem of algebra for quadratic. polynomial functions Factoring Polynomials, Understand the Fundamental Theorem of Factoring sum of cubes. Algebra Difference of cubes factoring, Understand the Linear Factorization. Factoring special products, 10 2 Learning Targets Example Factoring a fourth degree expression. Apply the Rational Root Theorem to find Roots of Polynomial Functions. zeros Possible number of real roots, Use the Factor Theorem.

Identifying graph based on roots, Apply the Remainder Theorem. 10 3 Learning Targets, Use Descartes Rule of Signs. Accurately graph polynomial functions, Activity 11 Complex Conjugates. Complex Polynomial Roots and Inequalities Complex conjugates example. 11 1 Learning Targets Roots of Polynomials, Maximize volume in applications Factoring 5th degree polynomial to find real zeros. Apply the Complex Conjugate Theorem, 11 2 Learning Targets.

Rewrite polynomial functions in factored, Find all of the zeros of a polynomial. 11 3 Learning Targets, Solve polynomial inequalities. Represent solutions using interval notation, and graphs. Activity 12 Asymptotes, Rational Expressions and the Reciprocal Function Asymptotes of rational functions. 12 1 Learning Targets Horizontal and vertical asymptotes of function. Write ratios of variable expressions, Finding horizontal and vertical asymptotes.

Write a rational function based on a real, world scenario Rational Functions and Their Gaphs. 12 2 Learning Targets Matching rational functions to their graphs. Write equations for vertical and horizontal, asymptotes. Sketch the graph of a rational function, Activity 13 Graphing Rational Functions. Rational Functions Another rational function graph example. 13 1 Learning Targets A third example of graphing a rational function. Compare and contrast graphs of rational, Write and sketch graphs of transformations Rational Inequalities. of rational functions Rational inequalities, 13 2 Learning Targets Rational inequalities 2.

Determine horizontal vertical or oblique, asymptotes. Accurately graph rational functions, Solve rational inequalities. 13 3 Learning Targets, Write the equation of a rational function. given certain attributes, Solve rational inequalities. Unit 3 Trigonometric Functions, Activity 14 Radian Measure.

Angles and Angle Measure Introduction to radians, 14 1 Learning Targets Rotation by radians and quadrants. Draw angles in standard position, Finding arc length from radian angle measure. Find the initial side and terminal side of an, angle in standard position Example Radian measure and arc length. Identify coterminal angles Example Converting degrees to radians. 14 2 Learning Targets, Example Converting radians to degrees. Measure angles in radians, Convert angle measures from degrees to Radian and degree conversion practice.

radians Radians and degrees, Recognize trigonometric ratios to complete. reference triangles, Activity 15 Exploring Periodic Data. Sinusoidal Functions Modeling annual temperature variation with. 15 1 Learning Targets trigonometry, Recognize situations that involve periodic Modeling temperature through the day. Sketch a graph of periodic data Day length in Alaska. 15 2 Learning Targets Periodic Functions, Explore how a change in parameters Midline amplitude and period of a function. affects a graph, Determine the period amplitude or phase Example Amplitude and period.

shift of a periodic function Example Amplitude and period transformations. 15 3 Learning Targets Example Amplitude and period cosine transformations. Graph a periodic function with various, domains Graph of the Sine and Cosine Function. Compare the graph of y sin x to periodic Example Graph domain and range of sine function. Example Graph of cosine, Example Intersection of sine and cosine. Activity 16 The Unit Circle, Trigonometric Functions and the Unit Circle Introduction to the unit circle. 16 1 Learning Targets Unit circle manipulative, Label points on the unit circle. Matching ratios to trig functions, Use the unit circle to find trigonometric.

values Solving triangle in unit circle, 16 2 Learning Targets Finding trig functions of special angles example. Define the reciprocal trigonometric, functions using the unit circle. Evaluate all six trigonometric functions for Reciprocal Trigonometric Functions. an angle in standard position Secant sec cosecant csc and cotangent cot example. Example Using trig to solve for missing information. Activity 17 Trigonometric Graphs, Graphs of the form y A sin B x C D Example Figure out the trig function. 17 1 Learning Targets Determining the equation of a trig function. Graph a trigonometric function over a, specified interval. Describe how changing parameters affect a, trigonometric graph.

17 2 Learning Targets, Find the amplitude and period of a. trigonometric function, Write a trigonometric function given its. Model situations with trigonometric, Activity 18 Tangent Graph. Graphs of Trigonometric Functions, 18 1 Learning Targets. Sketch the graphs of csc x sec x tan x and, Find the period and locate asymptotes of.

reciprocal trig functions, Determine the domain and range of. reciprocal trig functions, 18 2 Learning Targets, Graph transformations of reciprocal trig. Describe how changing parameters affect a, trigonometric graph. Activity 19 Inverse Cosine Functions, Inverse Trigonometric Functions Inverse trig functions arccos. 19 1 Learning Targets Example Calculator to evaluate inverse trig function. Apply a trigonometric function to a real Inverse Sine Functions. world situation Inverse trig functions arcsin, Define and apply the inverse cosine Example Calculator to evaluate inverse trig function.

Inverse Tangent Functions, 19 2 Learning Targets, Inverse trig functions arctan. Relate one to one functions to inverse, trigonometric functions Example Calculator to evaluate inverse trig function. Define and apply the inverse sine function Modeling with Trigonometric Functions. 19 3 Learning Targets Inverse tan domain and range. Define and apply the inverse tangent Inverse tangent scenario. Find values of inverse trigonometric Angle of sun with the ground based on shadow. functions Modeling annual temperature variation with. trigonometry, Applying inverse trig function with model. Activity 20, Solving Simple Trigonometric Equations. 20 1 Learning Targets, Apply a trigonometric equation to.

represent a real world situation, Find the general solution to a. trigonometric equation, 20 2 Learning Targets, Use reference angles to solve. trigonometric equations, Find the solution to a trigonometric. equation over an interval, Generate a trigonometric equation for a. real world situation, Unit 4 Analytic Trigonometry and Trigonometric Applications.

Activity 21 Trigonometric Identities, Trigonometric Identities Pythagorean trig identity from soh cah toa. 21 1 Learning Targets Pythagorean trig identity from unit circle. Define the reciprocal and quotient, Using the Pythagorean trig identity. identities, Use and transform the Pythagorean Simplifying Trigonometric Expressions. identity Examples using pythagorean identities to simplify. 21 2 Learning Targets trigonometric expressions, Simplify trigonometric expressions. Verify trigonometric identities, Activity 22, Identities and Equations N A.

22 1 Learning Targets, Use the unit circle to write equivalent. trigonometric expressions, Write cofunction identities for sine and. 22 2 Learning Targets, Use trigonometric identities to solve. Solve trigonometric equations by graphing, Activity 23 Exploring Sums of Trig Functions. Multiple Angle Identities Applying angle addition formula for sin. 23 1 Learning Targets Angle addition formula with cosine. Model a sound wave with a trigonometric, Another example using angle addition formula with.

Derive an expression for the cosine of a, difference Sine of non special angle. 23 2 Learning Targets Cosine addition identity example. Write the sum and difference identities for, Proof of angle addition formula for sine. sine cosine and tangent, Use sum and difference identities to find Proof of angle addition formula for cosine. exact values of a trig function Double Angle Formulas. Derive the double angle and half angle Double angle formula for cosine example. identities, 23 3 Learning Targets, Use trigonometric identities to solve. Verify trigonometric identities, Activity 24 Law of Cosines.

Law of Cosines Law of cosines, 24 1 Learning Targets Law of cosines to determine grade. Use trigonometry to draw and interpret, Law of cos. Precalculus Khan Academy Video Correlations By SpringBoard Activity SB Activity Video s Unit 1 Sequences Series Exponential and Logarithmic Functions Activity 1 Arithmetic Sequences 1 1 Learning Targets Write an expression for a sequence Equations of sequence patternsUse subscript notation 1 2 Learning Targets