PCC/ CCOG / ALC

Course Content and Outcome Guide for ALC 20B

Course Number:
ALC 20B
Course Title:
Math 20 Lab - 1 credit
Credit Hours:
1
Lecture Hours:
0
Lecture/Lab Hours:
0
Lab Hours:
30
Special Fee:
$12.00

Course Description

Provides a review of individually chosen topics in Basic Math (Math 20). Requires a minimum of 30 hours in the lab. Completion of this course does not meet prerequisite requirements for other math courses.

Intended Outcomes for the course

Upon successful completion of this course students will be able to:

  • Choose and perform accurate basic computations in a variety of situations with and without a calculator.
  • Creatively and confidently apply basic mathematical problem solving strategies.
  • Be prepared for future course work.

Outcome Assessment Strategies

Assessment shall include at least two of the following measures:
1. Tests
2. Attendance
3. Portfolios
4. Individual student conference

Course Content (Themes, Concepts, Issues and Skills)

Basic Math (MTH 20)
THEMES:
1. Mathematical vocabulary
2. Number sense
3. Computational proficiency
4. Critical thinking
5. Appropriate use of technology
6. Team work
SKILLS:
1.0 ORDER OF OPERATIONS
1.1 Vocabulary (Define and use)
1.1.1 Grouping symbols
1.1.2 Exponents
1.1.3 Square roots (perfect squares)
2.0 SIGNED NUMBERS
2.1 Vocabulary (Define and use)
2.1.1 Absolute value
2.1.2 Opposite vs. negative vs. minus (subtract)
2.2 Number sense
2.2.1 Compare signed numbers using inequality and equality notations
2.2.2 Place signed numbers on a number line
2.3 Computation
2.3.1 Add, subtract, multiply, and divide signed numbers
2.3.2 Simplify signed numbers to exponents
2.4 Order of operations with signed numbers
2.5 Applications with signed numbers
3.0 FRACTIONS
3.1 Vocabulary (Define and use)
3.1.1 Proper fractions, improper fractions, mixed numbers
3.1.2 Reciprocal
3.1.3 Prime number
3.1.4 Composite number
3.1.5 Divisibility Rules 2, 3, 5, 9, and 10
3.2 Number Sense
3.2.1 Compare fractions using inequality and equality notations
3.2.2 Place signed fractions on a number line
3.3 Computation
3.3.1 Add, subtract, multiply, and divide signed fractions
3.4 Order of operations with fractions
3.5 Applications involving fractions
3.5.1 Write answers to application problems as complete sentences and using proper
units
3.5.2 Ratios and rates
4.0 DECIMALS
4.1 Vocabulary (Define and use)
4.1.1 Place values
4.1.2 Powers of ten
4.1.3 Terminating, repeating and non-terminating
4.2 Number sense
4.2.1 Compare decimals using inequality and equality notations
4.2.2 Place signed decimals on a number line
4.2.3 Rounding decimals
4.3 Computation
4.3.1 Add, subtract, multiply, and divide signed decimals
4.3.2 Convert between fractions and decimals
4.4 Order of operations with decimals
4.4.1 Round at the end of the calculation
4.5 Applications
4.5.1 Write answers to application problems as complete sentences and using proper
units
4.5.2 Rates and ratios
4.5.3 Unit rate and unit price
5.0 PROPORTION AND PERCENT
5.1 Vocabulary
5.1.1 Proportion
5.1.2 Percent
5.2 Number sense
5.2.1 Convert between fractions, decimals, and percents
5.3 Computation
5.3.1 Solve proportion problems for missing value
5.3.2 Solve percent problems
5.4 Applications
5.4.1 Write answers to application problems as complete sentences and using proper
units
5.4.2 Identify and solve problems that involve reasoning about proportions
5.4.3 Solving percent increase and percent decrease problems
5.5 Technology
6.0 GRAPHS
6.1 Introduce, read and interpret graphs
7.0 FORMULAS AND CONVERSIONS
7.1 Perimeter and area of rectangles, squares and triangles
7.2 Computing mean, median, and mode
7.3 Introduce unit conversions within each measurement system
7.4 Money, $0.35 vs. 35ΒΆ (students often write 0.35ΒΆ)