Algebra 2A
Course Description
This course includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving graphing first- degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations. Our units are written based on the Idaho State Standards and are organized according to the suggested course guidelines.
Sequences and Functions
Learn this: I will learn how to model geometric and arithmetic sequences as subsets of exponential and linear functions using concrete examples.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Create and identify different types of sequences using various representations.
Determine missing terms and growth patterns in arithmetic and geometric sequences.
Interpret tables, graphs, and equations to distinguish between arithmetic and geometric sequences.
Manipulate sequences, justify equation choices, and calculate simple geometric sequence sums.
Grow from: I will respond to teacher feedback.
Polynomials
Learn this: I will expand work with linear and quadratic functions to polynomials of higher degree and the features that they all have in common.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Create and understand polynomials for real-life situations and use their graph to find important points and features.
Perform operations with polynomials to create new ones and find zeros using factored forms.
Analyze and sketch polynomial graphs using standard and factored forms, considering horizontal intercepts, end behavior, zeros, and multiplicities.
Find where two polynomial functions intersect
Divide polynomials to rewrite in factored form and understand the Remainder Theorem and its use.
Grow from: I will respond to teacher feedback.
Rational Functions
Learn this: I will learn about rational functions, including graph analysis and solving equations with extraneous solutions, then explore polynomial identities and their use in manipulating expressions and sum formulas for geometric sequences.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Create rational functions to model real world scenarios
Analyze rational functions by finding vertical and horizontal asymptotes and understanding their end behavior.
Solve equations with rational expressions and use them to solve real-world problems including checking for extraneous solutions.
Prove polynomial identities, including the geometric sum formula, which I use to solve problems.
Grow from: I will respond to teacher feedback.
Complex Numbers and Rational Exponents
Learn this: I will learn about rational exponents, solve square-related equations, introduce complex numbers using 'i,' and apply them to quadratic equation solutions.
Do this: I will create a project that demonstrates what I have learned and includes this information:
Simplify and interpret expressions with integer exponents, including fractions and negative fractions
Solve equations with squaring, finding square roots, cubing, finding cube roots, and equations with radicals
Work with complex numbers, including "i," to solve equations, perform arithmetic operations, and find real and imaginary parts when needed
Solve quadratic equations to find complex solutions
Grow from: I will respond to teacher feedback.