This course provides a comprehensive study of the fundamental aspects of problem solving. The main topics of study include: evaluation of algebraic equations, exponent rules and manipulation, polynomials, solving and graphing linear equations, solving and graphing two systems of equations, radicals, word problems, solving and graphing quadratic equations, and solving and graphing quadratic equations and factoring.
By the end of this course, students will be able to…
- Simplify or identify equivalent algebraic expressions.
- Represent math relationships using symbolic algebra.
- Differentiate between linear and nonlinear functions.
- Model and describe slope as a rate of change.
- Identify the slope from a graph, table, or equation.
- Evaluate variable expressions and functions.
- Identify an equation of a line from given information.
- Recognize the general shape and properties of functions from graphs, tables, or equations.
- Interpret the role of coefficients and constants on graphs of linear or quadratic functions.
- Analyze functions by investigating domain, range, rates of change, intercepts, and zeros.
- Model problems using functions and relations.
- Create and connect representations that are tabular, graphic, numeric, and symbolic from a set of data.
- Represent quantitative relationships graphically and interpret the meaning of the graph as it relates to a certain situation.
- Interpret and solve linear equations and inequalities.
Course Features
- Lectures 77
- Quiz 0
- Duration 50 weeks
- Skill level All levels
- Language English
- Students 0
- Certificate No
- Assessments Yes
- 12 Sections
- 77 Lessons
- 50 Weeks
- Unit 0 Pre Requisites6
- Unit 1 Expressions, Equations, and Functions7
- Unit 2 Solving Linear Equations7
- Unit 3 Graphing Linear Equations and Functions7
- Unit 4 Writing Linear Equations6
- Unit 5 Solving and Graphing Linear Inequalities7
- Unit 6 Systems of Linear Equations and Inequalities6
- Unit 7 Exponents and Exponential Functions5
- Unit 8 Polynomials and Factoring7
- Unit 9 Quadratic Equations and Functions8
- 10.1Graph Quadratic Functions
- 10.2Solve Quadratic Equations by Graphing
- 10.3Use Square Roots to Solve Quadratic Equations
- 10.4Solve Quadratic Equations by Completing the Square
- 10.5Solve Quadratic Equations by the Quadratic Formula
- 10.6Solve Systems with Quadratic Equations
- 10.7Compare Linear, Exponential, and Quadratic Models
- 10.8Model Relationships
- Unit 10 Data Analysis5
- Unit 11 Probability6

