Note for teachers: The pacing below is a general guideline on how much time you need to spend on each unit.. Feel free to adjust according to your students needs. We chose to start with review units: Equations and Linear Functions and then move to Trig. since it is a new and interesting topic that will capture student interest and attention at the start of the school year. However, you may choose to move the units around as it serves you best. Make sure you refer to the Performance Indicators as you go along. The primary text is Algebra 2 by Pearson.Refer to http://www.jmap.org and http://emathinstruction.com for additional practice

Pacing Unit/Essential Questions

Essential Knowledge- Content/Performance Indicators

(What students must learn)

Essential Skills(What students will be able to do)

Vocabulary Resources

Pearson Algebra 2

Sept 4-Sept 13

Unit 1: Equations and Inequalities

How do you solve absolute value equation/inequality and plot on the number line?

A2.A.1 Solve absolute value equations and inequalities involving linear expressions in one variable

Review of Algebra TopicsStudent will be able to

- simplify expressions- write and evaluate algebraic

expressions- represent mathematical phrases and

real world quantities using algebraic expressions

- solve multi step equations and check

- distinguish between solution, no solution and identity

- solve literal equations- solve multi step inequalities and

graph them- write inequality from a sentence

using key word at least, at most, fewer, less, more …

Algebra 2 and Trig. TopicsStudents will be able to

- solve absolute value equations and check

- solve absolute value inequalities and check for extraneous solution

- distinguish between an “and” problem and an “or” problem and accordingly write the solution

Term Constant

term Like terms Coefficient Expression Equation Literal

Equation Inequality Absolute

Value Extraneous

solution

1-3: Algebraic Expressions

1-4: Solving equations.Supplement with additional worksheets on equations with fractional coefficients

1-5: Solving Inequalities

1-6 Absolute Value Equations and inequalities

CURRICULUM MAP: ALGEBRA 2 and TRIG.RCSD- Department of Mathematics

2013 - 2014

Sept16-Sept 27

Unit 2: Linear Equations and Functions

How do you distinguish between Direct and Inverse variation?

How do you distinguish between a relation and a function?

How do you find the domain and range of a function?

How do you transformation with functions?

A2.A.5 Use direct and inverse variation to solve for unknown values

A2.A.37 Define a relation and function

A2.A.38 Determine when a relation is a function

A2.A.39 Determine the domain and range of a function from its equation

A2.A.40 Write functions in functional notation

A2.A.41 Use functional notation to evaluate functions for given values in the domain

A2.A.46 Perform transformations with functions and relations:f(x + a) , f(x) + a, f(−x), − f(x), af(x)

A2.A.52 Identify relations and functions, using graphs

A2.S.8 Interpret within the linear regression model the value of the correlation coefficient as a measure of the strength of the relationship

Review of Algebra TopicsStudent will be able to

- Determine if a function is linear- Graph a linear function

with/without a calculator.- Find the Slope of a linear function

given an equation, graph or 2 points

- Find the equation for a linear function given two points or a point and a graph.

- Draw a scatter plot and find the line of best fit

Algebra 2 and Trig. TopicsStudent will be able to

- Distinguish between a relation and a function.

- Determine if a relation is a function given a set of ordered pair, mapping diagram, graph or table of values

- Distinguish between direct and indirect variation

- Determine if a given function is direct given a function rule, graph or table of values

- Solve word problems related to direct and indirect variation (ref. to regents questions from jmap.org)

- Distinguish between parallel and perpendicular lines.

- Do linear regression using a graphing calculator

- Determine the correlation between the data sets by viewing or plotting a scatter-plot.

- Perform vertical and horizontal translations

- Graph absolute value equations and perform related translations

Relation Function Vertical line

test Function Rule Function

notation Domain Range Direct

Variation Constant of

Variation Linear

function Linear

equation x-intercept y-intercept Slope Standard

form of linear function

Slope intercept form of linear function

Point slope form of linear function

Line of best fit

Scatter plot Correlation Correlation

coefficient Regression Absolute

value

Overview of Chapter 2 with special emphasis on transformation.

2-1 Relations and Functions2-2 Direct Variation (Review) Inverse Variation will be covered later

2-5 Using Linear Models (emphasize use of graphing calculator to get regression line)

2-6 Families of Functions(transformations of functions)

Sep 30– Oct 11

Unit 3: Intro to Trig

What are the six trigonometric ratios in relation to right triangles?

What is the unit circle and how is it used in trigonometry?

How do we find the values of the six trigonometric functions?

What is radian measure and how do we convert between radians and degrees?

A2.A.55 Express and apply the six trigonometric functions as ratios of the sides of a right triangle

A2.A.56 Know the exact and approximate values of the sine, cosine, and tangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles

A2.A.57 Sketch and use the reference angle for angles in standard position

A2.A.58 Know and apply the co-function and reciprocal relationships between trigonometric ratios

A2.A.59 Use the reciprocal and co-function relationships to find the value of the secant, cosecant, and cotangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles

A2.A.60 Sketch the unit circle and represent angles in standard position

A2.A.61 Determine the length of an arc of a circle, given its radius and the measure of its central angle

A2.A.62 Find the value of trigonometric functions, if given a point on the terminal side of angle θ

A2.A.64 Use inverse functions to find the measure of an angle, given its sine, cosine, or tangent

A2.A.66 Determine the trigonometric functions of any angle, using technology

A2.M.1 Define radian measure

A2.M.2 Convert between radian and degree measures

Students will be able to

- Find missing angle using inverse trig functions

- Understand the concept of the unit circle and its relation to trigonometry

- Sketch a given angle on the unit circle

- Find both negative and positive coterminal angles

- Find the sine and cosine of an angle on the unit circle

- Distinguish between exact and approximate values of trig. functions

- Find the exact value of a sine/cosine function

- Convert between radians and degrees

- Find the length of the intercepted arc

- Find the value of trig. function given a point on the unit circle

- Find the terminal point on the unit circle given a trig. angle.

Trig. Ratios Inverse

Trig functions

Unit Circle Standard

side Initial side Terminal

side Coterminal

angle Exact value Central

angle Intercepted

arc Radian

14-3 Right triangles and Trig Ratios

13-2 Angles and Unit Circle

13-3 Radian measure

Oct15-Nov 1

Unit 4 Trig Functions and Graphing

What are the characteristics of the graphs of the trigonometric functions?

How do you write a trigonometric equation represented by a graph?

How do you sketch the graphs of the six trigonometric functions?

A2.A.63 Restrict the domain of the sine, cosine, and tangent functions to ensure the existence of an inverse function

A2.A.65 Sketch the graph of the inverses of the sine, cosine, and tangent functions

A2.A.69 Determine amplitude, period, frequency, and phase shift, given the graph or equation of a periodic function

A2.A.70 Sketch and recognize one cycle of a function of theform y = Asin Bx or y = Acos Bx

A2.A.71 Sketch and recognize the graphs of the functions y = sec(x) , y = csc(x), y = tan(x), and y = cot(x)

A2.A.72 Write the trigonometric function that is represented by a given periodic graph

Students will be able to

- Find the amplitude, frequency, period and phase shift of a sine curve given its equation or graph

- Find the amplitude, frequency, period and phase shift of a cosine curve given its equation or graph

- Graph a sine or cosine curve given its equation

- Write the trig. Function given its graph

- Recognize and sketch the inverse trig. Functions (know its domain and range).

- Recognize and sketch the reciprocal trig. Functions (know its domain and range)

- Graph all trig function with a graphing calculator

- Solve trig. functions graphically using a graphing calculator by finding the points of intersection

Periodic function

Cycle Period Amplitude Frequency Phase shift Domain Range Sine curve Cosine

curve

13-1 Exploring Periodic Functions

13-4 The Sine Function

13-5 The Cosine Function

13-6 the Tangent Function

13-7 Translating Sine and cosine Function

13-8 Reciprocal Trigonometric Functions

Nov 4 –Nov 26

Unit 5: Quadratic Equations and functions

How do you perform transformations of functions?

How do you factor completely all types of quadratic expressions?

How do you use the calculator to find appropriate regression formulas?

How do you use imaginary numbers to find square roots of negative numbers?

How do you solve quadratic equations using a variety of techniques?

How do you determine the kinds of roots a quadratic will have from its equation?

How do you find the solution set for quadratic inequalities?

How do you solve systems of linear and quadratic equations graphically and algebraically?

A2.A.46 Perform transformations with functions and relations:f (x + a) , f(x)+ a, f (−x), − f (x), af (x)

A2.A.40 Write functions in functional notation

A2.A.39 Determine the domain and range of a function from itsequation

A2.A.7 Factor polynomial expressions completely, using any combination of the following techniques: common factor extraction, difference of two perfect squares, quadratic trinomials

A2.S.7 Determine the function for theregression model, using appropriate technology, and use the regression function to interpolate and extrapolate from the data

A2.A.20 Determine the sum and product of the roots of a quadratic equation by examining its coefficients

A2.A.21 Determine the quadraticequation, given the sum and product of its roots

A2.A.13 Simplify radical expressions

A2.A.24 Know and apply thetechnique of completing the square

A2.A.25 Solve quadratic equations, using the quadratic formula

A2.A.2 Use the discriminant to determine the nature of the roots of a quadratic equation

A2.A.4 Solve quadratic inequalities in one and two variables, algebraically and

Students will be able to

- perform horizontal and vertical translations of the graph of y = x2

- graph a quadratic in vertex form: f(x) =a(x - h)2 + k

- identify and label the vertex as ( h , k )

- identify and label the axis of symmetry of a parabola

- graph parabolas in the form of y = a x2 with various values of a

- graph a quadratic in vertex form:- f(x) = ax2+bx+c- find the axis of symmetry

algebraically using the standard form of the equation

- identify the y-intercept as ( 0, c )- find the vertex of a parabola

algebraically using the standard form of the equation

- identify the range of parabolas- sketch a graph of a parabola after

finding the axis of symmetry, the vertex, and the y-intercept

- use the calculator to find a quadratic regression equation

- factor using “FOIL” - finding a GCF- perfect square trinomials- difference of two squares- zero product property- finding the sum and product of

roots- writing equations knowing the

roots or knowing the sum and product of the roots

- solve by taking square roots- solve by completing the square- solve by using the quadratic

formula- use the discriminant to find the

nature of the roots- simplify expressions containing

complex numbers (include rationalizing the denominator)

Parabola Quadratic

function Vertex form Axis of

symmetry Vertex of

the parabola Maximum Minimum Standard

form Domain and

Range Regressions Factoring Greatest

Common Factor

Perfect square trinomial

Difference of two squares

Zero of a function (root)

Discriminant

Imaginary numbers

Complex numbers

Conjugates

4-1 Quadratic functions and transformations

4-2 Standard form of a quadratic function

4-3 Modeling with quadratic functions

4-4 Factoring quadratic expressions

4-5 Quadratic equations

4-6 Completing the square

4-7 Quadratic Formula

4-8 Complex Numbers

Additional resources atwww.emathinstruction.com

Quadratic Inequalities Page 256-257

Powers of complex numbers Page 265

4-9 Quadratic Systems

10-3 Circles

graphically

A2.A.3 Solve systems of equations involving one linear equation and one quadratic equation algebraically Note: This includes rational equations that result in linear equations with extraneous roots.

A2.N6 Write square roots of negative numbers in terms of i

A2.N7 Simplify powers of i

A2.N8 Determine the conjugate of a complex number

A2.N9 Perform arithmetic operations on complex numbers and write the answer in the form a+bi

A2.A47 Determine the equation of a circle

A2.A48 Write the equation of a circle given a point

A2.A49 Write the equation of a circle from its graph

- solve quadratic inequalities- solve systems of quadratics

algebraically- Determine the equation of a circle

given the center and the radius, a point and the radius, the center and a point

- Determine the equation of a circle in center-radius form by completing the square of the equation in standard form

Dec 2– Dec 20

Unit 6: Polynomials

How do you perform arithmetic operations with polynomial expressions?

How do you factor polynomials?

How do you solve polynomial equation?

How do you expand a polynomial to the nth

Order?

How do you find the nth term of a binomial expansion?

A2.N.3 Perform arithmetic operations with polynomial expressions containing rational coefficients

A2.A.7 Factor polynomial expressions completely, using any combination of the following techniques: common factor extraction, difference of two perfect squares, quadratic trinomials

A2.A.26 Find the solution to polynomial equations of higher degree that can be solved using factoring and/or the quadratic formula

A2.A.50 Approximate the solution to polynomial equations of higher degree by inspecting the graph

A2.A.36 Apply the binomial theorem to expand a binomial and determine a specific term of a binomial expansion

Student will be able to

- combine like terms- subtract polynomial expressions- multiply monomials, binomials and

trinomials- recognize and classify polynomials- factor polynomials using common

factor extraction, difference of two perfect squares and or trinomial factoring.

- Write a polynomial function given its roots.

- Solve polynomial equations /find the roots graphically.

- Divide polynomials by factoring, long division or synthetic division

- Apply the Binomial Theorem to expand a binomial expression

- Find a specific term of a binomial expansion.

Polynomial Monomial Binomial Trinomial Degree Root Solution Zero

Property

5-1 Polynomial Functions

5-2 Polynomials, Linear Factors and Zeros

5-3 Solving Polynomial Equations

5-4 Dividing Polynomials

5-7 The Binomial Theorem

Jan 6– Jan 16

Unit 7: Radical Functions, Rational Exponents, Function Operations

How do you write algebraic expressions in simplest radical form?

How do you simplify by rationalizing the denominator?

How do you express sums and differences of radical expressions in simplest form?

How do you write radicals with fractional exponents?

How do you change an expression with a fractional exponent into a radical expression?

How do you solve radical equations?

How do you add, subtract, multiply, and divide functions?

How do you perform composition of functions?

How do you find the inverse of a function?

How do you determine if a

A2.N.1 Evaluate numerical expressions with negative and/or fractional exponents, without the aid of a calculator (when the answers are rational numbers

A2.N.2 Perform arithmetic operations with expressions containing irrational numbers in radical form

A2.N.4 Perform arithmetic operations on irrational expressions

A2.A.8 Use rules of exponents to simplify expressions involving negative and/or rational exponents

A2.A.9 Rewrite expressions that contain negative exponents using only positive exponents

A2.A.10 Rewrite algebraic expressions with fractional exponents as radical expressions

A2.A.11 Rewrite radical expressions as algebraic expressions with fractional exponents

A2.A.12 Evaluate exponential expressions

A2.A.13 Simplify radical expressions

A2.A.14 Perform basic operations on radical expressions

A2.N.5 Rationalize a denominator containing a radical expression

A2.A.15 Rationalize denominators of algebraic radical expressions

A2.A.22 Solve radical equations

A2.A.40 Write functions using function notation

Review of Algebra TopicsStudent will be able to

- Use rules of positive and negative exponents in algebraic computations

- Use squares and cubes of numbers- Know square roots of perfect

squares from 1-15

Algebra 2 and Trig TopicsStudents will be able to

- Simplify radical expressions- Multiply and divide radical

expressions- Add and subtract radical

expressions- Use rational exponents - Solve radical equations and check

for extraneous roots- Add, subtract, multiply, and divide

functions- Find composition of functions- Find inverses of functions- Determine if a function is one to

one or onto or both

Exponents Conjugates Radicals Rationalize

the denominator

Extraneous roots

f- 1(x) inverse of a

function one to one onto

Page 360 Properties of exponents

6-1 Simplify radical expressions

6-2 Multiply and divide radical expressions

6-3 Binomial Radical Expressions

6-4 Rational Exponents

6-5 Solve radical equations

6-6 Function operations

6-7 Inverse relations and functions

(the text does not cover “onto” so this will have to be supplemented with Ch 4-1 of AMSCO)

function is 1 to 1 or onto? A2.A.41 Use function notation to

evaluate functions for given values in the domain

A2.A.42 Find the composition of functions

A2.A.43 Determine if a function is 1 to 1, onto, or both

A2.A.44 Define the inverse of a function

A2.A.45 Determine the inverse of a function and use composition to justify the result

Jan 21th – Jan 24th MIDTERM REVIEW

Feb 3 - Feb14

Unit 8:Exponential and Logarithmic Functions

How do you model a quantity that changes regularly over time by the same percentage?

How are exponents and logarithms related?

How are exponential functions and logarithmic functions related?

Which type of function models the data best?

A2.A.6 Solve an application with results in an exponential function.

A2.A.12 Evaluate exponential expressions, including those with base e. A2.A.53 Graph exponential functions of the form. for positive values of b, including b = e.

A2.A.18 Evaluate logarithmic expressions in any base

A2.A.54 Graph logarithmic functions, using the inverse of the related exponential function.

A2.A.51 Determine the domain and range of a function from its graph.

A2.A.19 Apply the properties of logarithms to rewrite logarithmic expressions in equivalent forms.

A2.A. 27 Solve exponential equations with and without common bases.

A2.A. 28 Solve a logarithmic equations by rewriting as an exponential equation.

A2.S.6 Determine from a scatter plot whether a linear, logarithmic, exponential, or power regression model is most appropriate.

Students will be able to:

- model exponential growth and decay

- explore the properties of functions of the form

- graph exponential functions that have base e

- write and evaluate logarithmic expressions

- graph logarithmic functions- derive and use the properties of

logarithms to simplify and expand logarithms.

- solve exponential and logarithmic equations

- evaluate and simplify natural logarithmic expressions

- solve equations using natural logarithms

asymptote change of

base formula

common logarithm

exponential equation

exponential function

exponential decay

exponential growth

logarithm logarithmic

equation logarithmic

function natural

logarithmic function

7 -1 Exploring Exponential Models

7 - 2 Properties of Exponential functions

7 – 3 Logarithmic Functions as Inverses

- Fitting Curves to Data Page 459

7 - 4 Properties of Logarithms

7 - 5 Exponential and Logarithmic Equations

7 - 6 Natural Logarithms

NOTE- the text only does problems compounding interest continuously. You will need to supplement to do problems that compound quarterly, monthly, etc.)Ch 7-7 AMSCO

Feb 24 – March 7

Unit 9: Rational Expressions and Functions

How do we perform arithmetic operations on rational expressions?

How do we simplify a complex fraction?

How do we solve a rational equation?

A2.A.5 Use direct and inverse variation

A2.A.16 Perform arithmetic operations with rational expressions and rename to lowest terms

A2.A.17 Simplify complex fractional expressions

A2.A.23 Solve rational equations and inequalities

Review of Algebra TopicsAll topics in this unit except complex fractions are taught in Integrated Algebra. In Algebra most problems involve monomials and simple polynomials. In Algebra 2 factoring becomes more complex and may require more than one step to factor completely.

Algebra 2 TopicsStudents will be able to

- Identify from tables, graphs and models direct and inverse variation

- Solve algebraically and graph inverse variation

- Graph rational functions with vertical and horizontal asymptotes

- Simplify a rational expression to lowest terms by factoring and reducing

- State any restrictions on the variable

- Multiply and divide rational expressions

- Add and subtract rational expressions

- Simplify a complex fraction - Solve rational equations - Solve rational inequalities

Inverse Variation

Asymptotes Simplest

form Rational

Expression Common

factors Reciprocal Least

Common Multiple

Lowest Common Denominator

Common factors

Complex Fraction

Rational equation

8-1 Inverse Variation(omit combined and joint variation)

8-2 Reciprocal functions and transformations

8-3 Rational functions and their graphs

8-4 Rational Expressions

8-5 Adding and Subtracting Rational Expressions- includes simplifying complex fractions

8-6 Solving Rational Equations

NOTE: Teachers must supplement for solving rational inequalities(Ch. 2-8 of AMSCO)

March10 - March 28

Unit 10: Solving Trig Equations

How do you verify a trigonometric identity?

How do you solve trigonometric equations?

How do you use the trigonometric angle formulas to find values for trig functions?

A2.A.67 Justify the Pythagorean identities

A2.A.68 Solve trigonometric equations for all values of the variable from 0º to 360º

A2.A.59 Use the reciprocal and co-function relationships to find the value of the secant, cosecant, and cotangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles

A2.A.76 Apply the angle sum and difference formulas for trigonometric functions

A2.A.77 Apply the double-angle and half-angle formulas for trigonometric functions

Students will be able to

- Identify reciprocal identities- Verify trig equations using trig

identities- Verify Pythagorean identities- Simplify trig expressions using

identities- Solve linear and quadratic trig

equations within the given domain- Verify an angle identity- Use the angle sum and difference

formulas to evaluate a trig expression or verify a trig. equation

- Use the angle double angle and half angle formulas to evaluate a trig expression or verify a trig. equation

Trig. Identities

Reciprocal Trig. Function

Pythagorean identities

Negative angle identity

Cofunction identity

Angle sum formula

Angle difference formula

Double angle formula

Half angle formula

14-1 Trigonometric Identities

14-6 Angle Identities

14-7 Double Angle and Half Angle Identities

14-2 Solving Trigonometric Equations

Ma r 31– April 11

Unit 11 Trig Applications (Laws)

How do you use the Law of Sines to find missing parts of oblique triangles?

How do you use the Law of Cosines to find missing parts of oblique triangles?

How do you use the trigonometry to find the area of oblique triangles?How many distinct triangles are possible given certain parts of oblique triangles?

A2.A.73 Solve for an unknown side or angle, using the Law of Sines or the Law of Cosines

A2.A.74 Determine the area of a triangle or a parallelogram, given the measure of two sides and the included angle

A2.A.75 Determine the solution(s) from the SSA situation (ambiguous case)

Students will be able to

- Use the Law of Sines to find a missing angle or missing side

- Use the Law of Cosines to find a missing angle or missing side

- Find the area of a triangle or a parallelogram

- Find the possible number of triangles given an angle and two sides

- Apply the Law of Sines and Law of Cosines to word problems

Law of Sine

Law of Cosine

Oblique triangle

14-4 Area and the Law of Sines

14-5 The Law of Cosines

Page 927 The Ambiguous Case

April 21 – May 2

Unit 12: Probability

How do you calculate the probability of an event?

A2.S.9 Differentiate between situations requiring permutations and those requiring combinations

A2.S.10 Calculate the number of possible permutations (nPr) of n items taken r at a time

A2.S.11Calculate the number of possible combinations (nCr) of n items taken r at a time.

A2.S.12 Use permutations, combinations, and the Fundamental Principle of Counting to determine the number of elements in a sample space and a specific subset (event)

A2.S.13 Calculate theoretical probabilities, including geometric applications

A2.S.14 Calculate empirical probabilities

A2.S.15 Know and apply the binomial probability formula to events involving the terms exactly, at least, and at most

Students will be able to

- Use permutations, combinations, and the Fundamental Principle of Counting to determine the number of elements in a sample space and a specific subset (event)

- Determine theoretical and experimental probabilities for events, including geometric applications

- Find the probability of the event A and B

- Find the probability of event A or B

- Know and apply the binomial probability formula to events involving the terms exactly, at least, and at most

Permutation Combinatio

n Factorial Counting

Principle Event Outcome Sample

Space Theoretical

probability Experimenta

l Probability Dependent

events Independent

events Mutually

exclusive

11-1 Permutations and Combinations

11-2 Probability

11-3 Probability of Multiple Events

11-8 Binomial Distributions

You may wish to supplement the text using additional resources from www.emathinstruction.com

May 5-May16

Unit 13: Statistics

What methods are there for analyzing data?

A2.S.1 Understand the differences among various kinds of studies (e.g., survey, observation, controlled experiment)

A2.S.2 Determine factors which may affect the outcome of a survey

A2.S.3 Calculate measures of central tendency with group frequency distributions

A2.S.4 Calculate measures of dispersion (range, quartiles, interquartile range, standard deviation, variance) for both samples and populations

A2.S.5 Know and apply the characteristics of the normal distribution

A2.S.16 Use the normal distribution as an approximation for binomial probabilities

Students will be able to

- Calculate measures of central tendency given a frequency table

- Calculate measures of dispersion - (range, quartiles, interquartile

range, standard deviation, variance) for both samples and populations (standard deviation & variance using graphing calculator)

- Calculate probabilities using the normal distribution (use the normal curve given on the Algebra 2 reference sheet)

Survey Experiment Bias Sample Population Standard

deviation Variance Central

tendency Outlier Frequency

distribution Dispersion Quartiles Interquartile

range Binomial

probability Normal

Distribution

11-5 Analyzing Data

11-6 Standard Deviation

11-7 Samples and Surveys

11-9 Normal Distributions

P 741 Approximating a Binomial Distribution

May 19-May 30

Unit 14: Sequences and Series

What is the difference between arithmetic and a geometric sequence?

How do you find an explicit formula?

How do you write a recursive definition for a sequence?

How do you find the common difference and the nth term of an arithmetic sequence?How do you find the common ratio and the nth term of a geometric sequence?

How do you find the sum of a finite series using the formulas?

A2.A.29 Identify an arithmetic or geometric sequence and find the formula for its nth term

A2.A.30 Find the common difference in an arithmetic sequence

A2.A.31 Determine the common ratio of a geometric sequence

A2.A.32 Determine a specified term of an arithmetic or a geometric sequence

A2.A.33 Specify terms of a sequence given its recursive definition

A2.N.10 Know and apply sigma notation

A2.A.34 Represent the sum of a series using sigma notation

A2.A.35 Determine the sum of the first n terms of an arithmetic or a geometric series

Students will be able to

- Use patterns to find subsequent terms of a sequence

- Use explicit formulas to find terms of sequences

- Find a recursive definition for a sequence

- Find an explicit formula to define a sequence

- Tell whether a sequence is arithmetic, geometric, or neither

- Find the common difference of an arithmetic sequence

- Find the nth term of an arithmetic sequence

- Find the common ratio in a geometric sequence

- Find the nth term of a geometric sequence

- Find the sum of a finite arithmetic series

- Write a series using sigma notation- Find the sum of a finite geometric

series

Sequence Arithmetic

sequence Geometric

sequence Explicit

formula Recursive

definition Finite Series Sigma

notation

9-1 Mathematical patterns

9-2 Arithmetic Sequences

9-3 Geometric Sequence

9-4 Arithmetic Series

9-5 Geometric series

June 2nd – June 16th CATCH-UP, REVIEW AND FINALS