This course will review several pre-algebra topics and introduce topics from elementary algebra, set theory, counting, probability, and basic statistics. Use of the TI-84 Plus graphing calculator will be emphasized in all topic areas. Successful completion of this course will prepare the student for MATH 1441 Concepts of Math or MATH 1460 Introduction to Statistics.

5. Placement Tests Required:

Accuplacer (specify test):

Math Pre-College Level or Math Introductory College Level or Algebra College Level or Pre-Calculus College Level or Calculus College Level

Score:

6. Prerequisite Courses:

MATH 0810 - Math Pathways

There are no prerequisites for this course.

9. Co-requisite Courses:

MATH 0810 - Math Pathways

There are no corequisites for this course.

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

American River College (CA) and 21 other, Statway, 3 credits

III. Course Purpose

1. Program-Applicable Courses – This course is required for the following program(s):

3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Developmental Course

IV. Learning Outcomes

1. College-Wide Outcomes

College-Wide Outcomes/Competencies

Students will be able to:

Analyze and follow a sequence of operations

Write out each required step in the algebraic process of solving equations.

Apply abstract ideas to concrete situations

Complete application problems.

Utilize appropriate technology

Use a graphing calculator and determine when the technology is appropriate to use.

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

Solve authentic problems by applying two or more mathematical strategies or concepts and using multiple steps;

Interpret and communicate quantitative information and mathematical concepts using appropriate language for the context;

Present written or verbal justifications that include appropriate discussion of the mathematics involved;

Use estimation skills to predict and check answers to mathematical problems in order to determine reasonableness of solutions;

Make sense of problems, develop strategies to find solutions, and persevere in solving them;

Read and interpret authentic texts containing quantitative information;

Use technology when appropriate for a given context;

Demonstrate an understanding of large and small numbers by interpreting and communicating with different forms (including words, fractions, decimals, standard notation, and scientific notation);

Describe quantitative relationships and solve problems in a variety of contexts;

Read, interpret, and make reasoned conclusions about data that is summarized in a table or a graphical display

Use the Cartesian coordinate system to graph points and equations;

Use and interpret variables as unknowns, in equations, in simplifying expressions, and as quantities that vary;

Evaluate algebraic expressions for a given value or values;

Model and solve applied problems involving both linear and nonlinear relationships;

Express and interpret relationships using equality and inequality symbols;

Graph inequalities on a number line;

Recognize when a linear model is appropriate;

Solve linear equations;

Apply linear models to solve problems using tables, graphs, words and/or equations;

Calculate and interpret a rate of change as given by a symbolic, graphical, or numerical representation;

Review basic properties and definitions with graphing calculators;

Complete basic sequences, series, and summations problems;

Use Venn diagrams and set notation;

Demonstrate an understanding of counting principles;

Demonstrate an understanding of basic probability rules;

Use basic statistics with calculator list entry and compute measures of central tendency;

Solve linear inequalities in one variable;

Develop tables using linear equations in two variables and graph; and

Demonstrate an understanding of basic quadratic, logarithmic, and exponential equations and graphs;

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

Basic properties and definitions

Review properties of real numbers

Using graphing calculator, review fractions, complex fractions, decimals, square roots, and order of operations with real numbers

Simplify numerical expressions

Use scientific notation

Basic sequences, series, and summation

Define sequence and series and explore basic examples

Introduce summation notation and apply to finite sequences

Venn diagrams and set notation

Introduce sets, cardinal numbers, union, and intersection

Use Venn diagrams to illustrate examples

Counting principles

Introduce factorials and the Fundamental Principle of Counting

Introduce the permutation and combination formulas

Practice using the formulas on non-application problems and basic applications

Calculate measures of central tendency using calculator

Linear equations and inequalities in one variable

Simplify algebraic expressions

Solve equations, including strictly numerical problems and applications

Solve equation applications involving percents

Solve literal equations and formulas, including area, volume, and interest formulas

Introduce inequality symbols, graphs, and interval notation

Solve inequalities, including compound inequalities

Linear equations in two variables

Find slopes and equations of lines using points on the line

Develop tables and graphs for linear equations

Graph lines on graphing calculator

Create scatter plots of 2-variable data and introduce regression on the TI-83/84

Introduce other equations and graphs

Quadratic equations and parabolas

Exponential equations

Logarithmic equations

I. General Information

1. Course Title:
Math Pathways

2. Course Prefix & Number:
MATH 0810

3. Course Credits and Contact Hours:

Credits: 3

Lecture Hours: 3

Lab Hours: 0

4. Course Description:

This course will review several pre-algebra topics and introduce topics from elementary algebra, set theory, counting, probability, and basic statistics. Use of the TI-84 Plus graphing calculator will be emphasized in all topic areas. Successful completion of this course will prepare the student for MATH 1441 Concepts of Math or MATH 1460 Introduction to Statistics.

5. Placement Tests Required:

Accuplacer (specify test):

Math Pre-College Level or Math Introductory College Level or Algebra College Level or Pre-Calculus College Level or Calculus College Level

Score:

6. Prerequisite Courses:

MATH 0810 - Math Pathways

There are no prerequisites for this course.

9. Co-requisite Courses:

MATH 0810 - Math Pathways

There are no corequisites for this course.

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

American River College (CA) and 21 other, Statway, 3 credits

III. Course Purpose

1. Program-Applicable Courses – This course is required for the following program(s):

3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Developmental Course

IV. Learning Outcomes

1. College-Wide Outcomes

College-Wide Outcomes/Competencies

Students will be able to:

Analyze and follow a sequence of operations

Write out each required step in the algebraic process of solving equations.

Apply abstract ideas to concrete situations

Complete application problems.

Utilize appropriate technology

Use a graphing calculator and determine when the technology is appropriate to use.

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

Solve authentic problems by applying two or more mathematical strategies or concepts and using multiple steps;

Interpret and communicate quantitative information and mathematical concepts using appropriate language for the context;

Present written or verbal justifications that include appropriate discussion of the mathematics involved;

Use estimation skills to predict and check answers to mathematical problems in order to determine reasonableness of solutions;

Make sense of problems, develop strategies to find solutions, and persevere in solving them;

Read and interpret authentic texts containing quantitative information;

Use technology when appropriate for a given context;

Demonstrate an understanding of large and small numbers by interpreting and communicating with different forms (including words, fractions, decimals, standard notation, and scientific notation);

Describe quantitative relationships and solve problems in a variety of contexts;

Read, interpret, and make reasoned conclusions about data that is summarized in a table or a graphical display

Use the Cartesian coordinate system to graph points and equations;

Use and interpret variables as unknowns, in equations, in simplifying expressions, and as quantities that vary;

Evaluate algebraic expressions for a given value or values;

Model and solve applied problems involving both linear and nonlinear relationships;

Express and interpret relationships using equality and inequality symbols;

Graph inequalities on a number line;

Recognize when a linear model is appropriate;

Solve linear equations;

Apply linear models to solve problems using tables, graphs, words and/or equations;

Calculate and interpret a rate of change as given by a symbolic, graphical, or numerical representation;

Review basic properties and definitions with graphing calculators;

Complete basic sequences, series, and summations problems;

Use Venn diagrams and set notation;

Demonstrate an understanding of counting principles;

Demonstrate an understanding of basic probability rules;

Use basic statistics with calculator list entry and compute measures of central tendency;

Solve linear inequalities in one variable;

Develop tables using linear equations in two variables and graph; and

Demonstrate an understanding of basic quadratic, logarithmic, and exponential equations and graphs;

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

Basic properties and definitions

Review properties of real numbers

Using graphing calculator, review fractions, complex fractions, decimals, square roots, and order of operations with real numbers

Simplify numerical expressions

Use scientific notation

Basic sequences, series, and summation

Define sequence and series and explore basic examples

Introduce summation notation and apply to finite sequences

Venn diagrams and set notation

Introduce sets, cardinal numbers, union, and intersection

Use Venn diagrams to illustrate examples

Counting principles

Introduce factorials and the Fundamental Principle of Counting

Introduce the permutation and combination formulas

Practice using the formulas on non-application problems and basic applications