# NCBS 403B: BRIDGE TO COLLEGE LEVEL MATHEMATICS II

## Foothill College Course Outline of Record

Heading | Value |
---|---|

Effective Term: |
Summer 2023 |

Units: |
0 |

Hours: |
25 lecture per quarter (25 total per quarter) |

Advisory: |
Completion of NCBS 403A. |

Degree & Credit Status: |
Non-Degree-Applicable Non-Credit Course Basic Skills, 2 Levels Below Transfer |

Foothill GE: |
Non-GE |

Transferable: |
None |

Grade Type: |
Non-Credit Course (Receives no Grade) |

Repeatability: |
Unlimited Repeatability |

## Student Learning Outcomes

- "Students can identify one test-taking strategy to increase success on the placement exam.
- Students demonstrate mastery in an increased number of mathematical topics as described in the course objectives
- Students gain more math skills as described in the course objectives to increase score on placement exam.

## Description

Part two of a bridge to college level mathematics program for students who seek to refresh mathematical reasoning, computational skills, and test-taking strategies. Topics include mathematical skills from beginning algebra and intermediate algebra.

## Course Objectives

The student will be able to:

- Solve linear equations and inequalities and systems of linear equations
- Graph linear equations and find the equation of a line
- Simplify algebraic expressions using laws of exponents
- Factor polynomials
- Evaluate expressions involving square roots

## Course Content

- Solve linear equations and inequalities and systems of linear equations
- Solve linear equations with rational coefficients
- Solve literal equations (formulas) for a specified variable
- Solve linear inequalities algebraically and graphically
- Solve system of linear equations algebraically and graphically
- Solve application problems involving linear equations and inequalities and systems of linear equations

- Graph linear equations and find the equation of a line
- Identify slopes and y-intercepts from equations
- Write an equation of a line
- Graph a linear equation
- Model and solve problems involving linear functions

- Simplify algebraic expressions using laws of exponents
- Multiply and divide numbers with exponents
- Evaluate numbers with positive, negative, and zero exponents
- Use properties of exponents to simplify algebraic expressions

- Factor polynomials
- Factor quadratics with lead coefficient of one
- Factor quadratics with a lead coefficient that is not one

- Evaluate expressions involving square roots

## Lab Content

Not applicable.

## Special Facilities and/or Equipment

Access to computers with internet capabilities.

## Method(s) of Evaluation

Methods of Evaluation may include but are not limited to the following:

Homework

Quizzes

Class participation

## Method(s) of Instruction

Methods of Instruction may include but are not limited to the following:

After an initial assessment, students will work online in a self-paced environment using software such as ALEKS to improve their understanding in identified areas of need

The instructor will offer whole-class mini-lectures on test-taking skills and selected math topics

The instructor will provide one-on-one in-class targeted support for individual needs around test-taking and specific math topics

## Representative Text(s) and Other Materials

No text required.

## Types and/or Examples of Required Reading, Writing, and Outside of Class Assignments

Not applicable.

## Discipline(s)

Mathematics-Basic Skills: Noncredit