|Student Learning Outcomes -|
- Students will solve problems involving applications of linear growth.
- Students will develop conceptual understanding of the relationship between a linear function and its graph. They will demonstrate and communicate this understanding in a variety of ways, such as: reasoning with definitions, connecting concepts, and connecting multiple representations, as appropriate.
- Students will demonstrate the ability to solve linear equations and linear systems and graph linear equations of two variables.
|Description - |
|Includes linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.|
|Course Objectives - |
|The student will be able to: |
- Solve advanced linear equations and inequalities in one variable, and write the solution set using proper mathematical notation.
- Graph linear equations in two-variables.
- Interpret the meaning of the slope and intercepts, in context.
- Find the equation of a linear function given data in a table, graph, or words.
- Solve systems of equations graphically or symbolically, and interpret the solution(s) in context.
- Define a polynomial and perform the operations of addition, subtraction, multiplication, division and factoring of polynomials.
- Apply the laws of exponents to algebraic expressions.
- Demonstrate proportional reasoning.
- Use technology such as calculators to assist in solving problems involving any of the topics in (A) through (H) above.
|Special Facilities and/or Equipment - |
|Computers with internet access. |
|Course Content (Body of knowledge) - |
- Linear, Quadratic Relationships in 1 and 2 Variables
- solve linear equations with rational coefficients for a specified variable.
- solve literal equations (formulas) for a specified variable.
- solve linear inequalities symbolically or graphically.
- graph solution set to an inequality on a number line and write solution set in interval notation.
- represent linear functions using equations, tables, and graphs.
- interpret the meaning of intercepts and slopes from a problem situation, a table, a graph.
- describe magnitude and direction of slope.
- identify slopes and y-intercepts from equations.
- write an equation of a line.
- solve linear systems algebraically and graphically.
- write and graph a system of linear equalities.
- interpret the solution of a linear system in the context of a problem situation
- graph quadratic equations.
- solve quadratic equations algebraically, by factoring.
- Proportional Reasoning
- write and solve proportions
- use rates to convert units
- compare rates
- write ratios as fractions
- use similar figures to write and solve a proportion
- work with scale drawings
- Exponents, Roots, and Polynomials
- multiply and divide powers
- evaluate powers with positive, negative, and zero exponents.
- write numbers in scientific notation.
- use properties of exponents
- find square roots.
- find the distance between two points in the coordinate plane.
- find the midpoint between two points in the coordinate plane.
- use the Pythagorean Theorem to find the side length of a right triangle.
- use the converse of the Pythagorean Theorem to determine whether a triangle is a right triangle.
- Add, subtract, multiply and divide polynomials
- Factor polynomials
- Use technology such as calculators to assist in solving problems involving any of the topics in (A) through (C) above.
- Use a calculator to evaluate fraction operations
- Use a calculator to evaluate exponents
- Use a calculator to evaluate square roots
- Use a calculator to evaluate expressions containing real numbers
|Methods of Evaluation - |
- Hour Exams.
- Comprehensive Final Exam
- Class Participation
|Representative Text(s) - |
|Bittinger, Marvin Elementary and Intermediate Algebra+MyMathLab Package.Boston:Pearson Custom Publishing, 2012. |
|Disciplines - |
|Method of Instruction - |
- Lecture presentations and class activities that support the understanding of the objectives.
|Lab Content - |
- Assessments and practice using online software covering linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.
- Written worksheets developing skill accuracy covering linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.
- Projects applying concepts from lecture to real world situations.
|Types and/or Examples of Required Reading, Writing and Outside of Class Assignments - |
- Homework Problems: Homework problems covering subject matter from text and related material ranging from 50 - 100 problems per week. Students will need to employ critical thinking in order to complete assignments.
- Lecture: Seven hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
- Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems,write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as MyMathLab and/or calculator.
- Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.