# NCBS 403B: BRIDGE TO COLLEGE LEVEL MATHEMATICS II

## Foothill College Course Outline of Record

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

Effective Term: |
Winter 2022 |

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

## Course Objectives

The student will be able to:

A. Solve linear equations and inequalities and systems of linear equations

B. Graph linear equations and find the equation of a line

C. Simplify algebraic expressions using laws of exponents

D. Factor polynomials

E. Evaluate expressions involving square roots

## Course Content

A. Solve linear equations and inequalities and systems of linear equations.

1. Solve linear equations with rational coefficients.

2. Solve literal equations (formulas) for a specified variable.

3. Solve linear inequalities algebraically and graphically.

4. Solve system of linear equations algebraically and graphically.

5. Solve application problems involving linear equations and inequalities and systems of linear equations.

B. Graph linear equations and find the equation of a line.

1. Identify slopes and y-intercepts from equations.

2. Write an equation of a line.

3. Graph a linear equation.

4. Model and solve problems involving linear functions.

C. Simplify algebraic expressions using laws of exponents.

1. Multiply and divide numbers with exponents.

2. Evaluate numbers with positive, negative and zero exponents.

3. Use properties of exponents to simplify algebraic expressions.

D. Factor polynomials.

1. Factor quadratics with lead coefficient of one.

2. Factor quadratics with a lead coefficient that is not one.

E. Evaluate expressions involving square roots.

## Lab Content

Not applicable.

## Special Facilities and/or Equipment

## Method(s) of Evaluation

A. Homework

B. Quizzes

C. Class participation

## Method(s) of Instruction

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.