Honors Algebra II

Unit 3: Radical and Rational Exponents

Unit Plan

Keepers (Notes)

Keeper 18 – Simplifying Radical Expressions

Keeper 18 – simplifying Radical Expressions

Keeper 19 – Operations with Radicals

Keeper 19 – Operations with Radicals

Keeper 20 – Properties of Exponents

Keeper 20 – Properties of Exponents

Keeper 21 – Solving Radical Equations and Inequalities

Keeper 21 – Solving Radical Equations and Inequalities

Keeper 22 – Characteristics of Radical Functions

Keeper 22 – Characteristics of Radical Functions

Answer Keys

Unit 3 Homework Packet Answer Keys

Winter Break Review Packet Answer Key

Unit 2: Polynomials

In this unit students will:

• understand the definition of a polynomial

• interpret the structure and parts of a polynomial expression including terms, factors, and coefficients

• simplify polynomial expressions by performing operations, applying the distributive property, and combining like terms

• use the structure of polynomials to identify ways to rewrite them and write polynomials in equivalent forms to solve problems

• perform arithmetic operations on polynomials and understand how closure applies under addition, subtraction, and multiplication

• divide one polynomial by another using long division

• use Pascal’s Triangle to determine coefficients of binomial expansion

• use polynomial identities to solve problems

• use complex numbers in polynomial identities and equations

• find inverses of simple functions

Unit Plan – Polynomials

Keepers (Notes)

Keeper 9 – Introduction to Polynomials

Keeper 9 – Introduction to Polynomials

Keeper 10 – Binomial Theorem

Keeper 10 – Binomial Theorem

Keeper 11 – Dividing Polynomials

Keeper 11 – Dividing Polynomials

Keeper 12 – Factoring and Solving Polynomials

Keeper 12- Factoring and Solving Polynomials

Keeper 13 – Remainder and Factor Theorems

Keeper 13 – Remainder and Factor Theorems

Keeper 14 – Finding Real Roots of Polynomials

Keeper 14 – Zeros of Polynomial Functions

Keeper 15 – Characteristics of Polynomial Functions

Keeper 15 – Characteristics of Polynomial Graphs

Keeper 16 – Sketching Graphs of Polynomial Functions

Keeper 16 – Sketching Graphs of Polynomial Functions

Keeper 17 – Polynomial Inequalities

Keeper 17 – Polynomial Inequalities

Worksheets and Answer Keys

Unit 2 – Polynomials Answer Keys

Unit 2 – Polynomials Homework Packet

Unit 1: Quadratics Revisited

In this unit students will:

• Define rational exponents
• Rewrite expression involving radicals and rational exponents
• Define the imaginary number i
• Define complex numbers
• Operate with complex numbers
• Understand that the basic properties of numbers continue to hold with expressions involving exponents.

Keepers (Notes): 

Keeper 1 – Imaginary & Complex Numbers

Keeper 1 – Imaginary and Complex Numbers

Keeper 2 – Multiplying and Dividing Complex Numbers

Keeper 2 – Multiplying and Dividing Complex Numbers

Keeper 3 – Solving Quadratic Equations – Square Root Method

Keeper 3 – Solving Quadratic Equations Square Root Method

Keeper 4 – Factoring Trinomials

Keeper 4 – Factoring Trinomials

Keeper 5 – Solving Equations by Factoring

Keeper 5- Solving Equations by Factoring

Keeper 6 – Solving Equations by Completing the Square

Keeper 6 – Solving Equations by Completing the Square

Keeper 7 – Solving Equations using the Quadratic Formula

Keeper 7 – Solving Equations Using the Quadratic Formula

Keeper 8 – Quadratic Inequalities

Keeper 8 – Quadratic Inequalities

 

Worksheets and Answer Keys:

Unit 1 – Quadratics Revisited Homework Packet

Unit 1 – Quadratics Revisited Answer Keys

 

Welcome to Honors Algebra II!

Honors Algebra II – Policy Sheet

There are some websites that do a great job with extra practice and/or if you need added reinforcement of concepts.  Paul’s Online Notes,  and Kahn Academy  all offer tutorials for many concepts.

Helpful websites:

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equat