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    The Complete Guide to Algebra 2

    BY
    Udemy

    Acquire a hands-on understanding of the principles and concepts involved with algebra 2 from the ground up.

    Brochure Enquire
    Mode

    Online

    Fees

    ₹ 799

    Quick Facts

    particular details
    Medium of instructions English
    Mode of learning Self study
    Mode of Delivery Video and Text Based

    Course overview

    The Complete Guide to Algebra 2 certification course is designed by Mike O'Halloran - Mathematics Teacher & Trainer, which is presented by Udemy and is aimed at the students who want to master basic and complex principles of algebra 1 and algebra 2 to polish up on forgotten mathematics skills and prepare for the examinations like the ACT and SAT. The Complete Guide to Algebra 2 online course by Udemy is made to assist students to understand algebra by providing them with straightforward explanations that will enable them to do so in the shortest amount of time.

    The Complete Guide to Algebra 2 online training involves more than 28.5 hours of video-based lectures accompanied by 44 downloadable resources and articles on topics like graphing, grouping, elimination, substitution, matrices, quadratic formula, quadratic equations, polynomial equations, conic function, linear functions, compound interest, geometric series, and more. Upon completion of the course, students will also be provided with a certificate will also them authenticate the exercise in algebra 2.

    The highlights

    • Certificate of completion
    • Self-paced course
    • 28.5 hours of pre-recorded video content
    • 1 article
    • 44 downloadable resources

    Program offerings

    • Online course
    • Learning resources. 30-day money-back guarantee
    • Unlimited access
    • Accessible on mobile devices and tv

    Course and certificate fees

    Fees information
    ₹ 799
    certificate availability

    Yes

    certificate providing authority

    Udemy

    Who it is for

    Teacher Scientist

    What you will learn

    Mathematical skill

    After completing The Complete Guide to Algebra 2 online certification, students will gather a practical understanding of the principles of algebra 2 as well as will learn about various theories associated with algebra including rational zeros theorem, Cramer's rule, and factor theorem. Students will explore the techniques and methods for working with linear equations, quadratic equations, polynomial equations, quadratic formulas, linear functions, and conic functions. Students will learn about methods like graphing, grouping, elimination, substitution, and factoring as well as will learn about arithmetic, matrices, radicals, finite geometric series, infinite geometric series, and compound interest.

    The syllabus

    Course Introduction

    • Introduction : who is this course for?
    • The roadmap: course goals and how to achieve them

    Unit 1 : Solving equations

    • Unit 1 intro ( including unit A,B,C and solutions)
    • order of operations: PEMDAS
    • Categories of numbers
    • The Distributive Property and Combining Like Terms
    • Solve linear equations: single and multi-step
    • Saving your chemistry grade at the 11th hour: Word problem
    • Solve linear equations (harder)
    • Solve and graph linear inequalities
    • Solve literal equations
    • Solve absolute value equations
    • The coldest place on Earth: Word problem
    • Solve absolute value inequalities
    • Unit 1: Challenge Question Solution
    • 04:32
    • Unit 1 Test C: #1-10

    Unit 2: Functions

    • Unit 2 Intro (including unit tests A, B, C, and solutions)
    • What is a function?
    • How to evaluate functions
    • Standard form of a linear function
    • Graph a line in standard form
    • How to find the slope of a line
    • Climbing to the mountain summit: World problem
    • Writing equations in slope-intercept form (y=mx+b)
    • A jump in the swimming pool: Word problem
    • How to graph lines in slope-intercept form
    • Point-slope form of a line
    • How to change lines into slope-intercept form
    • Your best cell phone plan: Word problem
    • Parallel and perpendicular lines
    • Graph piecewise functions
    • Graph absolute value functions
    • Transformations
    • Describing transformations
    • Graph linear inequalities
    • Unit 2 Challenge Solution
    • Unit 2 Test C: #1-12
    • Unit 2 Test C: #13-16

    Unit 3: Solving systems of equations and matrices

    • Unit 3 Intro (including unit tests A, B, C, and solutions)
    • Solve systems of equations by graphing
    • Solve systems of equations by substitution
    • Solve systems of equations by elimination (2 variables)
    • Solve systems of equations by elimination (3 variables)
    • Solve systems of equations by elimination (3 variables, special case)
    • Talent Show Ticket Sales: Word problem
    • Challenge: Windy plane trip
    • Graph systems of linear inequalities
    • Baking cakes: Linear programming
    • What is a matrix? (And how do you add, subtract, and multiply them?)
    • How to multiply matrices
    • How to find the determinant of a matrix
    • Cramer's rule for solving matrices
    • How to find the inverse of a matrix
    • Solve systems of equations using inverse matrices
    • Unit 3 Challenge Solution
    • Unit 3 Test C: #1-5
    • Unit 3 Test C: #6-12

    Unit 4: Quadratic equations

    • Unit 4 Intro (including unit tests A, B, C, and solutions)
    • How to graph a quadratic function part 1
    • How to graph a quadratic function part 2
    • How to graph a quadratic inequality
    • Giancarlo Stanton's home run: Word problem
    • FOIL: First,Outside,Inside and Last
    • Factoring quadratics: leading coefficient = 1
    • Factoring quadratics: leading coefficient not equal to 1 (Swing method)
    • Factoring quadratics: Greatest common factor (GCF)
    • Factoring perfect square trinomials
    • Factoring the difference of squares
    • Factoring the greatest common factor (GCF)
    • Solve quadratic equations by factoring
    • Race through Alaska: Word problem
    • What is an imaginary number?
    • Raising i to different powers
    • Simplify imaginary numbers
    • Complex numbers: How to add, subtract, and multiply
    • Complex numbers: How to divide
    • What is a perfect square?
    • Solve quadratic equations by completing the square (easier)
    • Solve quadratic equations by completing the square (harder)
    • A proof of the quadratic formula
    • Solve quadratic equations using the quadratic formula
    • What is the discriminant?
    • Vertex form of a quadratic function
    • Transforming a quadratic graph
    • Unit 4 Challenge Solution
    • Unit 4 Test C: #1-7
    • Unit 4 Test C: #8-14
    • Unit 4 Test C: #15-20

    Unit 5: Solving polynomial equations

    • Unit 5 Intro (including unit tests A, B, C, and solutions)
    • Laws of exponents: The basics
    • Laws of exponents: Harder examples
    • What is a polynomial?
    • Polynomials: How to add, subtract, multiply, and divide
    • Polynomials: How to divide by a monomial
    • Polynomial long division
    • Polynomial synthetic division
    • The end behavior of a polynomial graph
    • Polynomial graphs: Fundamental Theorem of Algebra, zeros, extrema, turning pts.
    • Factoring: Sums and differences of cubes
    • Factor by Grouping
    • Challenge and Factoring Quadratic Form
    • Challenge: Factoring by grouping with cubes
    • Don't be sad: depressed polynomials
    • Solve polynomial equations: Quadratic form
    • Solve polynomial equations: Grouping and cubes
    • Descartes' Rule of Signs
    • Write polynomial functions given their zeros
    • Rational Zeros Theorem
    • Unit 5 Challenge Solution
    • Unit 5 Test C: #1-8
    • Unit 5 Test C: #9-16
    • Unit 5 Test C: #17

    Unit 6: Radicals and roots

    • Unit 6 Intro (including unit tests A, B, C, and solutions)
    • Functions: How to add, subtract, multiply, and divide
    • Function composition
    • How to find the inverse of a function
    • How to tell if 2 functions are inverses
    • Is it really that cold in Italy? Fahrenheit and Celsius
    • Graphing the square root function
    • What is an nth root? (cube root, 4th root, 5th root)
    • Rationalizing the denominator
    • Multiplying radicals
    • Adding and subtracting radicals
    • Multiply and divide radicals using FOIL
    • Divide and rationalize radicals
    • How to change radicals to rational exponents (and vice versa)
    • Evaluate rational exponents
    • Solve radical equations
    • Michael Jordan's Hang Time
    • Solve rational exponent equations (easy to harder)
    • Unit 6 Challenge Solution
    • Unit 6 Test C: #1-10
    • Unit 6 Test C: #11-20

    Unit 7: Exponential and logarithm functions

    • Unit 7 Intro (including unit tests A, B, C, and solutions)
    • Graphing exponential growth and decay
    • How to graph transformed exponential functions
    • Solve exponential equations
    • Autopsies and murder mysteries: World problem
    • Challenge: How many times can you fold a piece of paper?
    • How to change exponents to logarithms (and vice versa)
    • Evaluate logarithms
    • How to graph logarithms
    • Lions, tigers, and earthquakes, oh my!
    • Logarithm properties: Expanding and condensing
    • How to approximate logarithms without a calculator
    • Solve logarithm equations
    • Solve logarithm equations (harder)
    • Change of base formula: A proof
    • Solve exponent equations using logarithms
    • What is the number e, and where does it come from?
    • What is the natural logarithm?
    • How to change e to the natural logarithm (and vice versa)
    • Solve natural logarithm equations
    • Making money: compound interest
    • Nuclear disaster: Word problem
    • Unit 7 Test C: #1-10
    • Unit 7 Test C: #11-19

    Unit 8: Rational expressions

    • Unit 8 Intro (including unit tests A, B, C, and solutions)
    • What is a rational expression?
    • How to simplify rational expressions
    • Rational expressions: How to multiply and divide
    • Rational expressions: How to find the least common denominator (LCD)
    • Rational expressions: How to add and subtract
    • What's so complex about complex fractions?
    • Graphing rational functions: The Parent Function
    • Graphing rational functions: Case 1
    • Graphing rational functions: Case 2
    • Graphing rational functions: Case 3
    • Variation: direct, inverse, joint, and combined
    • Solve rational equations (simple)
    • Solve rational equations (harder)
    • Mixing juice: Word problem
    • Windy plane rides (again): Word problem
    • Many hands make light work: Word problem
    • Solve rational inequalities
    • Unit 8 Challenge Solution
    • Unit 8 Test C: #1-6
    • Unit 8 Test C: #7-11

    Unit 9: Conic sections

    • Unit 9 Intro (including unit tests A, B, C, and solutions)
    • Unit 9 Challenge and solution
    • What is a conic section?
    • The Midpoint Formula
    • The Distance Formula
    • What is a parabola? Focus and directrix
    • Writing equations for parabolas, part 1
    • Writing equations for parabolas, part 2
    • Writing equations for circles, part 1
    • Writing equations for circles, part 2
    • What is a hyperbola?
    • Writing equations for hyperbolas: Given a graph
    • Writing equations for hyperbolas: Given vertices/asymptotes
    • Writing equations for hyperbolas: Given vertices/foci
    • Writing equations for hyperbolas: Given general conic form
    • What is an ellipse?
    • What is an ellipse? Part 2
    • How to graph an ellipse
    • Writing equations for ellipses: part 1
    • Writing equations for ellipses: part 2
    • Systems of quadratic equations
    • Unit 9 Test C: #1-6
    • Unit 9 Test C: #7-9
    • Unit 9 Test C: #10-15

    Unit 10: Sequences and series

    • Unit 10 Intro (including unit tests A, B, C, and solutions)
    • What is an arithmetic sequence?
    • Arithmetic sequences: finding the explicit formula
    • How to find the sum of an arithmetic series
    • It's all Greek to me: Sigma notation and arithmetic series
    • What is a geometric sequence?
    • Challenge: Geometric sequence days
    • Geometric sequences: finding the explicit formula, part 1
    • Geometric sequences: finding the explicit formula, part 2
    • Geometric means
    • How to find the sum of a finite geometric series
    • It's still Greek to me: Sigma notation and geometric series
    • Find the number of terms in a geometric series
    • Zeno's paradox: you can never move from your chair
    • Can you really add an infinitely long list of numbers?
    • Find the common ratio of an infinite series
    • How to write a repeating decimal as a fraction
    • Factorials
    • Usain Bolt and the Olympics: Permutations and combinations
    • Does order matter? Permutations vs. combinations
    • Pascal's Triangle and the Binomial Theorem
    • Binomial Theorem (easier)
    • Binomial Theorem (harder)
    • Correction
    • Unit 10 Test C: #1-10
    • Unit 10 Test C: #11-18
    • Unit 10 Test C: #19-27

    Conclusion

    • Congratulations, thank you, and a request

    Instructors

    Mike O'Halloran
    Instructor
    Udemy

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