Course Details

Algebra II (Grade 10-12)

Review key course information and curriculum options.

Back to catalog

Course Information

Subject Area: Mathematics
State Course Code: 02056
Length: Two Semesters
Total Hours: 270

Description

Course topics typically include field properties and theorems, set theory, operations with rational and irrational expressions, factoring of rational expressions, in-depth study of linear equations and inequalities, quadratic equations, solving systems of linear and quadratic equations, graphing of constant, linear and quadratic equations, properties of higher degree equations, and operations with rational and irrational exponents.

Learning Goals

Student will extend their ability to solve problems with additional functions and equations (A2.1. Core Content: Solving problems):
1. When presented with a word problem, students are able to determine which function or equation models the problem and use that information to solve the problem.
2. They build on what they learned in algebra 1 about linear and quadratic functions and are able to solve more complex problems.
3. Additionally, students learn to solve problems modeled by exponential and logarithmic functions, systems of equations and inequalities, inverse variations and combinations and permutations.
4. Turning word problems into equations that can be solved is a skill students will hone throughout algebra 2 and subsequent mathematics courses.
Students extend their understanding of number systems to include complex numbers, which they will see as solutions for quadratic equations (A2.2. Core Content: Numbers, expressions, and operations):
1. They grow more proficient in their use of algebraic techniques as they continue to use variables and expressions to solve problems.
2. As problems become more sophisticated and the level of mathematics increases, so does the complexity of the symbolic manipulations and computations necessary to solve the problems.
3. Students refine the foundational algebraic skills they need to be successful in subsequent mathematics courses.
Student will continue to solve quadratic equations and inequalities and will understand complex roots (A2.3. Core Content: Quadratic functions and equations):
1. They learn to translate between forms of quadratic equations, applying the vertex form to evaluate maximum and minimum values and find symmetry of the graph and they learn to identify which form should be used in a particular situation.
2. This opens up a whole range of new problems students can solve using quadratics. c. These algebraic skills are applied in subsequent high school mathematics and statistics courses.
Students extend their understanding of exponential functions from algebra 1 with an emphasis on inverse functions (A2.4. Core Content: Exponential and logarithmic functions and equations):
1. This leads to a natural introduction of logarithms and logarithmic functions.
2. Students learn to use the basic properties of exponential and logarithmic functions and graphing of both types of functions to analyze relationships.
3. Students will represent and model problems and answer questions.
4. Students employ these functions in many practical situations, such as applying exponential functions to determine compound interest and applying logarithmic functions to determine the pH of a liquid.
Students learn about additional classes of functions including square root, cubic, logarithmic and those involving inverse variation (A2.5. Core Content: Additional functions and equations):
1. Students plot points and sketch graphs to represent these functions and use algebraic techniques to solve related equations.
2. In addition to studying the defining characteristics of each of these classes of functions, students gain the ability to construct new functions algebraically and using transformations.
3. These extended skills and techniques serve as the foundation for further study and analysis of functions in subsequent mathematics courses.
Students formalize their study of probability, computing both combinations and permutations to calculate the likelihood of an outcome in uncertain circumstances and applying the binominal theorem to solve problems (A2.6. Core Content: Probability, data, and distributions):
1. They extend their use of statistics to graph bivariate data and analyze its shape to make predictions.
2. They calculate and interpret measures of variability, confidence intervals and margins of error for population proportions.
3. Dual goals underlie the content in the section: students prepare for the further study of statistics and become thoughtful consumers of data.
Students extend their ability to solve systems of two equations in two variables to solving systems of three equations in three variables (A2.7. Additional Key Content):
1. Matrices in pre-calculus
2. Series : find the terms and partial sums of arithmetic series
3. Terms and partial and infinite sums of geometric series
Student will build on reasoning, problem solving and communication to prove valid mathematical arguments (A2.8. Core Processes: Reasoning, problem solving, and communication):
1. They extend the problem-solving practices developed in earlier grades and apply them to more challenging problems, including problems related to mathematical and applied situations.
2. Students formalize a coherent problem-solving process in which they analyze the situation to determine the question(s) to be answered, synthesize given information and identify implicit and explicit assumptions that have been made.
3. They examine their solution(s) to determine reasonableness, accuracy and meaning in the context of the original problem.
4. Make and prove conjectures
5. Find counter examples to refute false statements using correct mathematical language (terms and symbols)

Choose Curriculum

Online

Algebra II Algebra II for Credit Recovery Khan Academy Algebra II

Select a curriculum to review its details.

Back to catalog