CURRICULUM MAP: ALGEBRA 2 and TRIG. RCSD- Department of Mathematics 2013 - 2014

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 Essential Knowledge- Essential Skills Vocabulary Resources Questions Content/Performance Indicators (What students will be able to do) (What students must learn) Pearson Algebra 2

Sept 4 Unit 1: Equations A2.A.1 Solve absolute value equations Review of Algebra Topics  Term 1-3: Algebraic Expressions - and Inequalities and inequalities involving linear Student will be able to  Constant Sept 13 expressions in one variable term 1-4: Solving equations. - simplify expressions  Like terms Supplement with additional How do you solve - write and evaluate algebraic  Coefficient worksheets on equations absolute value expressions  Expression with fractional coefficients equation/inequality - represent mathematical phrases and  Equation and plot on the real world quantities using  Literal 1-5: Solving Inequalities number line? algebraic expressions Equation - solve multi step equations and  Inequality 1-6 Absolute Value check  Absolute Equations and inequalities - distinguish between solution, no Value solution and identity  Extraneous - solve literal equations solution - 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. Topics Students 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 Sept16 Unit 2: Linear A2.A.5 Use direct and inverse variation to Review of Algebra Topics  Relation Overview of Chapter 2 with - Equations and solve for unknown values Student will be able to  Function special emphasis on Sept 27 Functions  Vertical line transformation. A2.A.37 Define a relation and function - Determine if a function is linear test How do you - Graph a linear function  Function Rule 2-1 Relations and Functions distinguish between A2.A.38 Determine when a relation is a with/without a calculator.  Function 2-2 Direct Variation Direct and Inverse function - Find the Slope of a linear function notation (Review) Inverse Variation variation? given an equation, graph or 2  Domain will be covered later A2.A.39 Determine the domain and range points  Range How do you of a function from its equation - Find the equation for a linear  Direct 2-5 Using Linear Models distinguish between a function given two points or a point Variation (emphasize use of graphing relation and a A2.A.40 Write functions in functional and a graph.  Constant of calculator to get regression function? notation - Draw a scatter plot and find the Variation line) line of best fit  Linear How do you find the A2.A.41 Use functional notation to function 2-6 Families of Functions domain and range of evaluate functions for given values in the Algebra 2 and Trig. Topics  Linear (transformations of a function? domain Student will be able to equation functions)  x-intercept How do you A2.A.46 Perform transformations with - Distinguish between a relation and  y-intercept transformation with functions and relations: a function.  Slope functions? f(x + a) , f(x) + a, f(−x), − f(x), af(x) - Determine if a relation is a function  Standard given a set of ordered pair, form of linear A2.A.52 Identify relations and functions, mapping diagram, graph or table of function using graphs values  Slope - Distinguish between direct and intercept form A2.S.8 Interpret within the linear indirect variation of linear regression model the value of the - Determine if a given function is function correlation coefficient as a measure of the direct given a function rule, graph  Point slope strength of the relationship or table of values form of linear - Solve word problems related to function direct and indirect variation (ref. to  Line of best regents questions from jmap.org) fit - Distinguish between parallel and  Scatter plot perpendicular lines.  Correlation - Do linear regression using a  Correlation graphing calculator coefficient - Determine the correlation between  Regression the data sets by viewing or plotting  Absolute a scatter-plot. value - Perform vertical and horizontal translations - Graph absolute value equations and perform related translations Sep 30 Unit 3: Intro to Trig A2.A.55 Express and apply the six Students will be able to  Trig. Ratios 14-3 Right triangles and – trigonometric functions as ratios of the  Inverse Trig Ratios Oct 11 sides of a right triangle - Find missing angle using inverse Trig What are the six trig functions functions 13-2 Angles and Unit Circle trigonometric ratios A2.A.56 Know the exact and approximate - Understand the concept of the unit  Unit Circle in relation to right values of the sine, cosine, and tangent of circle and its relation to  Standard 13-3 Radian measure triangles? 0º, 30º, 45º, 60º, 90º, 180º, and 270º trigonometry side angles - Sketch a given angle on the unit  Initial side What is the unit circle  Terminal circle and how is it A2.A.57 Sketch and use the reference - Find both negative and positive side used in angle for angles in standard position coterminal angles  Coterminal trigonometry? - Find the sine and cosine of an angle A2.A.58 Know and apply the co-function angle on the unit circle  Exact value How do we find the and reciprocal relationships between - Distinguish between exact and  Central values of the six trigonometric ratios approximate values of trig. angle trigonometric functions  Intercepted functions? A2.A.59 Use the reciprocal and co- - Find the exact value of a arc function relationships to find the value of sine/cosine function  Radian What is radian the secant, cosecant, and cotangent of 0º, - Convert between radians and measure and how do 30º, 45º, 60º, 90º, 180º, and 270º angles degrees we convert between - Find the length of the intercepted radians and degrees? A2.A.60 Sketch the unit circle and arc represent angles in standard position - Find the value of trig. function given a point on the unit circle A2.A.61 Determine the length of an arc of - Find the terminal point on the unit a circle, given its radius and the measure circle given a trig. angle. 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 Oct15 Unit 4 Trig A2.A.63 Restrict the domain of the sine, Students will be able to  Periodic 13-1 Exploring Periodic - Functions and cosine, and tangent functions to ensure the function Functions Nov 1 Graphing existence of an inverse function - Find the amplitude, frequency,  Cycle period and phase shift of a sine  Period 13-4 The Sine Function A2.A.65 Sketch the graph of the inverses curve given its equation or graph  Amplitude What are the of the sine, cosine, and tangent functions - Find the amplitude, frequency,  Frequency 13-5 The Cosine Function characteristics of the period and phase shift of a cosine  Phase shift graphs of the A2.A.69 Determine amplitude, period, curve given its equation or graph  Domain 13-6 the Tangent Function trigonometric frequency, and phase shift, given the - Graph a sine or cosine curve given  Range functions? graph or equation of a periodic function its equation  Sine curve 13-7 Translating Sine and - Write the trig. Function given its  Cosine cosine Function How do you write a A2.A.70 Sketch and recognize one cycle graph curve trigonometric of a function of the - Recognize and sketch the inverse 13-8 Reciprocal equation represented form y = Asin Bx or y = Acos Bx trig. Functions (know its domain Trigonometric Functions by a graph? and range). A2.A.71 Sketch and recognize the graphs - Recognize and sketch the How do you sketch of the functions y = sec(x) , y = csc(x), reciprocal trig. Functions (know its the graphs of the six y = tan(x), and y = cot(x) domain and range) trigonometric - Graph all trig function with a functions? A2.A.72 Write the trigonometric function graphing calculator that is represented by a given periodic - Solve trig. functions graphically graph using a graphing calculator by finding the points of intersection

Nov 4 Unit 5: Quadratic A2.A.46 Perform transformations with Students will be able to  Parabola 4-1 Quadratic functions and – Equations and functions and relations:  Quadratic transformations Nov 26 functions f (x + a) , f(x)+ a, f (−x), − f (x), af (x) - perform horizontal and vertical function translations of the graph of y = x2  Vertex form 4-2 Standard form of a A2.A.40 Write functions in functional - graph a quadratic in vertex form:  Axis of quadratic function How do you perform notation f(x) =a(x - h)2 + k symmetry transformations of - identify and label the vertex as ( h ,  Vertex of 4-3 Modeling with quadratic functions? A2.A.39 Determine the domain and k ) the parabola functions range of a function from its - identify and label the axis of  Maximum How do you factor equation symmetry of a parabola  Minimum completely all types - graph parabolas in the form of y =  Standard 4-4 Factoring quadratic of quadratic A2.A.7 Factor polynomial expressions a x2 with various values of a form expressions expressions? completely, using any combination of the - graph a quadratic in vertex form:  Domain and following techniques: common factor - f(x) = ax2+bx+c Range 4-5 Quadratic equations How do you use the extraction, difference of two perfect - find the axis of symmetry  Regressions calculator to find squares, quadratic trinomials algebraically using the standard  Factoring 4-6 Completing the square appropriate form of the equation  Greatest regression formulas? A2.S.7 Determine the function for the - identify the y-intercept as ( 0, c ) Common 4-7 Quadratic Formula regression model, using appropriate - find the vertex of a parabola Factor How do you use technology, and use the regression algebraically using the standard  Perfect 4-8 Complex Numbers imaginary numbers to function to interpolate and extrapolate form of the equation square find square roots of from the data - identify the range of parabolas trinomial Additional resources at negative numbers? - sketch a graph of a parabola after  Difference www.emathinstruction.com A2.A.20 Determine the sum and finding the axis of symmetry, the of two How do you solve product of the roots of a quadratic vertex, and the y-intercept squares Quadratic Inequalities Page quadratic equations equation by examining its coefficients - use the calculator to find a  Zero of a 256-257 using a variety of quadratic regression equation function techniques? A2.A.21 Determine the quadratic - factor using “FOIL” (root) Powers of complex numbers equation, given the sum and product of - finding a GCF  Discriminan Page 265 How do you its roots - perfect square trinomials t determine the kinds - difference of two squares  Imaginary 4-9 Quadratic Systems of roots a quadratic A2.A.13 Simplify radical expressions - zero product property numbers will have from its - finding the sum and product of  Complex 10-3 Circles equation? A2.A.24 Know and apply the roots numbers technique of completing the square - writing equations knowing the  Conjugates How do you find the roots or knowing the sum and  solution set for A2.A.25 Solve quadratic equations, product of the roots quadratic using the quadratic formula - solve by taking square roots inequalities? - solve by completing the square A2.A.2 Use the discriminant to - solve by using the quadratic How do you solve determine the nature of the roots of a formula systems of linear and quadratic equation - use the discriminant to find the quadratic equations nature of the roots graphically and A2.A.4 Solve quadratic inequalities in - simplify expressions containing algebraically? one and two variables, algebraically and complex numbers (include graphically rationalizing the denominator) - solve quadratic inequalities A2.A.3 Solve systems of equations - solve systems of quadratics involving one linear equation and one algebraically quadratic equation algebraically - Determine the equation of a circle Note: This includes rational given the center and the radius, a equations that result in linear point and the radius, the center and equations with extraneous roots. a point

Dec 2– Unit 6: Polynomials A2.N.3 Perform arithmetic operations Student will be able to  Polynomial 5-1 Polynomial Functions Dec 20 with polynomial expressions containing  Monomial How do you perform rational coefficients - combine like terms  Binomial 5-2 Polynomials, Linear arithmetic operations - subtract polynomial expressions  Trinomial Factors and Zeros with polynomial A2.A.7 Factor polynomial expressions - multiply monomials, binomials and  Degree expressions? completely, using any combination of the trinomials  Root 5-3 Solving Polynomial following techniques: common factor - recognize and classify polynomials  Solution Equations How do you factor extraction, difference of two perfect - factor polynomials using common  Zero polynomials? squares, quadratic trinomials factor extraction, difference of two Property 5-4 Dividing Polynomials perfect squares and or trinomial How do you solve A2.A.26 Find the solution to polynomial factoring. 5-7 The Binomial Theorem polynomial equation? equations of higher degree that can be - Write a polynomial function given solved using factoring and/or the its roots. How do you expand a quadratic formula - Solve polynomial equations /find polynomial to the nth the roots graphically. Order? A2.A.50 Approximate the solution to - Divide polynomials by factoring, polynomial equations of higher degree by long division or synthetic division How do you find the inspecting the graph - Apply the Binomial Theorem to nth term of a binomial expand a binomial expression expansion? A2.A.36 Apply the binomial theorem to - Find a specific term of a binomial expand a binomial and determine a expansion. specific term of a binomial expansion

Jan 6– Unit 7: Radical A2.N.1 Evaluate numerical expressions Review of Algebra Topics  Exponents Page 360 Properties of Jan 16 Functions, Rational with negative and/or fractional exponents, Student will be able to  Conjugates exponents Exponents, without the aid of a calculator (when the  Radicals Function answers are rational numbers - Use rules of positive and negative  Rationalize 6-1 Simplify radical Operations exponents in algebraic the expressions A2.N.2 Perform arithmetic operations computations denominato How do you write with expressions containing irrational - Use squares and cubes of numbers r 6-2 Multiply and divide algebraic expressions numbers in radical form - Know square roots of perfect  Extraneous radical expressions in simplest radical squares from 1-15 roots form? A2.N.4 Perform arithmetic operations on  f- 1(x) 6-3 Binomial Radical irrational expressions Algebra 2 and Trig Topics  inverse of a Expressions How do you simplify Students will be able to function by rationalizing the A2.A.8 Use rules of exponents to simplify  one to one 6-4 Rational Exponents denominator? expressions involving negative and/or - Simplify radical expressions  onto rational exponents - Multiply and divide radical  6-5 Solve radical equations How do you express expressions sums and differences A2.A.9 Rewrite expressions that contain - Add and subtract radical 6-6 Function operations of radical expressions negative exponents using only positive expressions in simplest form? exponents - Use rational exponents 6-7 Inverse relations and - Solve radical equations and check functions How do you write A2.A.10 Rewrite algebraic expressions for extraneous roots radicals with with fractional exponents as radical - Add, subtract, multiply, and divide (the text does not cover fractional exponents? expressions functions “onto” so this will have to - Find composition of functions be supplemented with How do you change A2.A.11 Rewrite radical expressions as - Find inverses of functions Ch 4-1 of AMSCO) an expression with a algebraic expressions with fractional - Determine if a function is one to fractional exponent exponents one or onto or both into a radical expression? A2.A.12 Evaluate exponential expressions How do you solve radical equations? A2.A.13 Simplify radical expressions

How do you add, A2.A.14 Perform basic operations on subtract, multiply, radical expressions and divide functions? A2.N.5 Rationalize a denominator How do you perform containing a radical expression composition of functions? A2.A.15 Rationalize denominators of algebraic radical expressions How do you find the inverse of a function? A2.A.22 Solve radical equations

How do you A2.A.40 Write functions using function determine if a notation 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

Feb 3 - Unit 8:Exponential A2.A.6 Solve an application with results Students will be able to:  asymptote 7 -1 Exploring Exponential Feb14 and Logarithmic in an exponential function.  change of Models Functions - model exponential growth and base A2.A.12 Evaluate exponential decay formula 7 - 2 Properties of How do you model a expressions, including those with base e. - explore the properties of functions  common Exponential functions quantity that changes of the form y abx logarithm regularly over time A2.A.53 Graph exponential functions of  exponential 7 – 3 Logarithmic Functions - graph exponential functions that by the same x equation as Inverses the form. y  b for positive values of b, have base e percentage?  exponential including b = e. - write and evaluate logarithmic function - Fitting Curves to Data expressions How are exponents  exponential Page 459 A2.A.18 Evaluate logarithmic - graph logarithmic functions and logarithms decay expressions in any base - derive and use the properties of related?  exponential 7 - 4 Properties of logarithms to simplify and expand growth Logarithms A2.A.54 Graph logarithmic functions, logarithms. How are exponential  logarithm using the inverse of the related - solve exponential and logarithmic functions and  logarithmic 7 - 5 Exponential and exponential function. equations logarithmic functions equation Logarithmic Equations - evaluate and simplify natural related?  logarithmic A2.A.51 Determine the domain and range logarithmic expressions function 7 - 6 Natural Logarithms of a function from its graph. - solve equations using natural Which type of  natural logarithms function models the logarithmic NOTE- the text only does A2.A.19 Apply the properties of data best? function problems compounding logarithms to rewrite logarithmic interest continuously. You expressions in equivalent forms. will need to supplement to do problems that compound A2.A. 27 Solve exponential equations quarterly, monthly, etc.) with and without common bases. Ch 7-7 AMSCO 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. Feb 24 Unit 9: Rational A2.A.5 Use direct and inverse variation Review of Algebra Topics  Inverse 8-1 Inverse Variation(omit – Expressions and All topics in this unit except complex Variation combined and joint March Functions A2.A.16 Perform arithmetic operations fractions are taught in Integrated Algebra.  Asymptotes variation) 7 with rational expressions and rename to In Algebra most problems involve  Simplest How do we perform lowest terms monomials and simple polynomials. In form 8-2 Reciprocal functions arithmetic operations Algebra 2 factoring becomes more complex  Rational and transformations on rational A2.A.17 Simplify complex fractional and may require more than one step to Expression expressions? expressions factor completely.  Common 8-3 Rational functions and factors their graphs How do we simplify A2.A.23 Solve rational equations and Algebra 2 Topics  Reciprocal a complex fraction? inequalities Students will be able to  Least 8-4 Rational Expressions Common How do we solve a - Identify from tables, graphs and Multiple 8-5 Adding and Subtracting rational equation? models direct and inverse variation  Lowest Rational Expressions- - Solve algebraically and graph Common includes simplifying inverse variation Denominato complex fractions - Graph rational functions with r vertical and horizontal asymptotes  Common 8-6 Solving Rational - Simplify a rational expression to factors Equations lowest terms by factoring and  Complex reducing Fraction NOTE: Teachers must - State any restrictions on the  Rational supplement for solving variable equation rational inequalities - Multiply and divide rational (Ch. 2-8 of AMSCO) expressions - Add and subtract rational expressions - Simplify a complex fraction - Solve rational equations - Solve rational inequalities March Unit 10: Solving A2.A.67 Justify the Pythagorean identities Students will be able to  Trig. 14-1 Trigonometric 10 - Trig Equations Identities Identities March A2.A.68 Solve trigonometric equations - Identify reciprocal identities  Reciprocal 28 How do you verify a for all values of the variable from 0º to - Verify trig equations using trig Trig. 14-6 Angle Identities trigonometric 360º identities Function identity? - Verify Pythagorean identities  Pythagorea 14-7 Double Angle and Half A2.A.59 Use the reciprocal and co- - Simplify trig expressions using n identities Angle Identities How do you solve function relationships to find the value of identities  Negative trigonometric the secant, cosecant, and cotangent of 0º, - Solve linear and quadratic trig angle 14-2 Solving Trigonometric equations? 30º, 45º, 60º, 90º, 180º, and 270º angles equations within the given domain identity Equations - Verify an angle identity  Cofunction How do you use the A2.A.76 Apply the angle sum and - Use the angle sum and difference identity trigonometric angle difference formulas for trigonometric formulas to evaluate a trig  Angle sum formulas to find functions expression or verify a trig. formula values for trig equation  Angle functions? A2.A.77 Apply the double-angle and half- - Use the angle double angle and difference angle formulas for trigonometric functions half angle formulas to evaluate a formula trig expression or verify a trig.  Double equation angle formula  Half angle formula Ma r Unit 11 Trig A2.A.73 Solve for an unknown side or Students will be able to  Law of 14-4 Area and the Law of 31– Applications (Laws) angle, using the Law of Sines or the Law Sine Sines April of Cosines - Use the Law of Sines to find a  Law of 11 missing angle or missing side Cosine 14-5 The Law of Cosines How do you use the A2.A.74 Determine the area of a triangle - Use the Law of Cosines to find a  Oblique Law of Sines to find or a parallelogram, given the measure of missing angle or missing side triangle Page 927 The Ambiguous missing parts of two sides and the included angle - Find the area of a triangle or a Case oblique triangles? parallelogram A2.A.75 Determine the solution(s) from - Find the possible number of How do you use the the SSA situation (ambiguous case) triangles given an angle and two Law of Cosines to sides find missing parts of - Apply the Law of Sines and Law of oblique triangles? Cosines to word problems

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? April Unit 12: Probability A2.S.9 Differentiate between situations Students will be able to  Permutation 11-1 Permutations and 21 – requiring permutations and those  Combinatio Combinations May 2 How do you calculate requiring combinations - Use permutations, combinations, n the probability of an and the Fundamental Principle of  Factorial 11-2 Probability event? A2.S.10 Calculate the number of possible Counting to determine the number  Counting permutations (nPr) of n items taken r at a of elements in a sample space and Principle 11-3 Probability of Multiple time a specific subset (event)  Event Events - Determine theoretical and  Outcome A2.S.11Calculate the number of possible experimental probabilities for  Sample 11-8 Binomial Distributions combinations (nCr) of n items taken r at a events, including geometric Space time. applications  Theoretical You may wish to - Find the probability of the event A probability supplement the text using A2.S.12 Use permutations, combinations, and B  Experimenta additional resources from and the Fundamental Principle of - Find the probability of event A or l Probability www.emathinstruction.com Counting to determine the number of B  Dependent elements in a sample space and a specific - Know and apply the binomial events subset (event) probability formula to events  Independent involving the terms exactly, at events A2.S.13 Calculate theoretical least, and at most  Mutually probabilities, including geometric exclusive 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 May 5 Unit 13: Statistics A2.S.1 Understand the differences among Students will be able to  Survey 11-5 Analyzing Data - various kinds of studies (e.g., survey,  Experiment May16 What methods are observation, controlled experiment) - Calculate measures of central  Bias 11-6 Standard Deviation there for analyzing tendency given a frequency table  Sample data? A2.S.2 Determine factors which may - Calculate measures of dispersion  Population 11-7 Samples and Surveys affect the outcome of a survey - (range, quartiles, interquartile  Standard range, standard deviation, deviation 11-9 Normal Distributions A2.S.3 Calculate measures of central variance) for both samples and  Variance tendency with group frequency populations (standard deviation &  Central P 741 Approximating a distributions variance using graphing tendency Binomial Distribution calculator)  Outlier A2.S.4 Calculate measures of dispersion - Calculate probabilities using the  Frequency (range, quartiles, interquartile range, normal distribution (use the distribution standard deviation, variance) for both normal curve given on the Algebra  Dispersion samples and populations 2 reference sheet)  Quartiles  Interquartile A2.S.5 Know and apply the range characteristics of the normal distribution  Binomial probability A2.S.16 Use the normal distribution as an  Normal approximation for binomial probabilities Distribution May Unit 14: Sequences A2.A.29 Identify an arithmetic or Students will be able to  Sequence 9-1 Mathematical patterns 19 and Series geometric sequence and find the formula  Arithmetic - for its nth term - Use patterns to find subsequent sequence 9-2 Arithmetic Sequences May What is the terms of a sequence  Geometric 30 difference between A2.A.30 Find the common difference in - Use explicit formulas to find terms sequence 9-3 Geometric Sequence arithmetic and a an arithmetic sequence of sequences  Explicit geometric sequence? - Find a recursive definition for a formula 9-4 Arithmetic Series A2.A.31 Determine the common ratio of sequence  Recursive How do you find an a geometric sequence - Find an explicit formula to define definition 9-5 Geometric series explicit formula? a sequence  Finite Series A2.A.32 Determine a specified term of - Tell whether a sequence is  Sigma How do you write a an arithmetic or a geometric sequence arithmetic, geometric, or neither notation recursive definition - Find the common difference of an for a sequence? A2.A.33 Specify terms of a sequence arithmetic sequence given its recursive definition - Find the nth term of an arithmetic How do you find the sequence common difference A2.N.10 Know and apply sigma notation - Find the common ratio in a and the nth term of geometric sequence an arithmetic A2.A.34 Represent the sum of a series - Find the nth term of a geometric sequence? using sigma notation sequence How do you find the - Find the sum of a finite arithmetic common ratio and the A2.A.35 Determine the sum of the first n series nth term of a terms of an arithmetic or a geometric - Write a series using sigma notation geometric sequence? series - Find the sum of a finite geometric series How do you find the sum of a finite series using the formulas?

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