I. General Information
1. Course Title:
Math Pathways
2. Course Prefix & Number:
MATH 1505
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 and MATH 1460 Introduction to Statistics.
5. Placement Tests Required:
| Accuplacer (specify test): |
Arithmetic |
Score: |
65 |
| Other (specify test): |
Accuplacer Elementary Algebra |
Score: |
52
|
6. Prerequisite Courses:
MATH 1505 - Math Pathways
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
7. Other Prerequisites
MATH 058x with a grade of B or higher
9. Co-requisite Courses:
MATH 1505 - Math Pathways
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency - similar course from other regional institutions:
|
Name of Institution |
Course Number and Title |
Credits |
|
American River College (CA) and 21 others |
Statway |
3 |
III. Course Purpose
3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
- Liberal Arts Elective
- Non-Transferrable General Education Course
- Technical Elective
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:
|
Expected Outcome |
MnTC
Goal Area |
|
Simplify expressions using basic properties and definitions
Solve and graph linear equations
Solve and graph linear inequalities
Solve systems of Linear equations and inequalities |
|
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.
- Probability
- Introduce terminology (outcome, event, sample space, etc.)
- Introduce basic rules of probability.
- Basic Statistics
- Introduce “STAT” key on TI-83/84
- Enter data into lists on calculator.
- Calculate measures of central tendency using calculator.
- Linear Equations & 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 & parabolas
- Exponential equations
- Logarithmic equations
I. General Information
1. Course Title:
Math Pathways
2. Course Prefix & Number:
MATH 1505
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 and MATH 1460 Introduction to Statistics.
5. Placement Tests Required:
| Accuplacer (specify test): |
Arithmetic |
Score: |
65 |
| Other (specify test): |
Accuplacer Elementary Algebra |
Score: |
52
|
6. Prerequisite Courses:
MATH 1505 - Math Pathways
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
7. Other Prerequisites
MATH 058x with a grade of B or higher
9. Co-requisite Courses:
MATH 1505 - Math Pathways
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency - similar course from other regional institutions:
|
Name of Institution |
Course Number and Title |
Credits |
|
American River College (CA) and 21 others |
Statway |
3 |
III. Course Purpose
3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
- Liberal Arts Elective
- Non-Transferrable General Education Course
- Technical Elective
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:
|
Expected Outcome |
MnTC
Goal Area |
|
Simplify expressions using basic properties and definitions
Solve and graph linear equations
Solve and graph linear inequalities
Solve systems of Linear equations and inequalities |
|
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.
- Probability
- Introduce terminology (outcome, event, sample space, etc.)
- Introduce basic rules of probability.
- Basic Statistics
- Introduce “STAT” key on TI-83/84
- Enter data into lists on calculator.
- Calculate measures of central tendency using calculator.
- Linear Equations & 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 & parabolas
- Exponential equations
- Logarithmic equations