CCOG for ABE 0787 archive revision 202504

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Effective Term:
Fall 2025

Course Number:
ABE 0787
Course Title:
Foundations of Math 2
Credit Hours:
0
Contact Hours:
60-72

Course Description

Covers rational numbers (fractions, percents, decimals, ratio, and proportion), pre-algebra, algebra, statistics, geometry and measurements. Includes applications involving whole numbers, decimals and fractions.

Addendum to Course Description

Recommended: Placement into RD 90 or higher or CASAS Reading score of 221 or higher and CASAS Math score of 217 or higher.

Intended Outcomes for the course

Upon successful completion of the course, students should be able to:

  1. Make sense of problems and persevere in solving them. (Mathematical Practice.1)
  2. Reason abstractly and quantitatively. (MP.2)
  3. Construct viable arguments and critique the reasoning of others. (MP.3)
  4. Model with mathematics and use appropriate tools strategically. (MP.4-5)
  5. Attend to precision and look for and make use of structure. (MP.6-7)
  6. Look for and express regularity in repeated reasoning. (MP.8)

Outcomes are based on OACCRS - Mathematics Handbook Standards of Mathematical Practice.

Aspirational Goals

  • Appreciate learning of Mathematics

  • Ability to apply scientific reasoning in daily life

  • Use math in a powerful way to achieve goals

  • Exhibit persistence, self-motivation, self-advocacy, and personal responsibility

  • Reflect upon, assess, identify, and celebrate one’s own learning gains

  • Explore, develop, and monitor appropriate academic and professional goals

  • Advance knowledge and skills to make independent choices as a citizen, family member, worker, and life-long learner

Outcome Assessment Strategies

  • Apply common types of mathematical information and concepts to real-life and theoretical problems involving rational numbers.

  • Complete homework and/or computer-based assignments

  • Read and interpret common data and statistical information

  • Interpret and apply common patterns, functions and relationships using technology

  • Move up a level in the Math CASAS Post Test and pass a teacher generated post test

  • Pass the GED Mathematics Exam

  • Test into Math 60 or above

Course Content (Themes, Concepts, Issues and Skills)

Themes: 
  • Informational, literary, scientific and persuasive texts
  • Scientific notation and labeling
  • Visual literacy: charts, graphs
  • Media literacy and propaganda 
  • Social justice and cultural literacy
Course Content/OACCRS

For more detailed descriptions and applications see this document: Oregon Adult College and Career Readiness Standards Detailed Descriptions and Applications for ABE 0787

OACCRS Standards of Mathematical Content:

The Number System 

  • Apply and extend previous understandings of numbers to the system of rational numbers. 

  • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 

  • Know that there are numbers that are not rational, and approximate them by rational numbers. 

  • Understand ratio concepts and use ratio reasoning to solve problems. 

  • Analyze proportional relationships and use them to solve real-world and mathematical problems.

Expressions and Equations

  • Use properties of operations to generate equivalent expressions. 

  • Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 

  • Work with radicals and integer exponents.

  • Understand the connections between proportional relationships, lines, and linear equations. 

  • Analyze and solve linear equations and pairs of simultaneous linear equations. 

Functions

  • Define, evaluate, and compare functions. 

  • Use functions to model Relationships between quantities. 

  • Understand the concept of a function and use function notation. 

  • Interpret functions that arise in applications in terms of the context. 

  • Analyze functions using different representations.

  • Build a function that models a relationship between two quantities.

  • Construct and compare linear, quadratic, and exponential models and solve problems. 

  • Interpret expressions for functions in terms of the situation they model.

Geometry

  • Draw, construct, and describe geometrical figures and describe the relationships between them.

  • Solve real-life and mathematical problems involving angle, measure, area, surface area, and volume. 

  • Understand congruence and similarity using physical models, transparencies, or geometry software.

  • Understand and apply the Pythagorean Theorem. 

  • Experiment with transformations in the plane. 

  • Prove theorems involving similarity. 

  • Explain volume formulas and use them to solve problems.

  • Apply geometric concepts in modeling situations.

Statistics and Probability

  • Summarize and describe distributions.

  • Use random sampling to draw inferences about a population.

  • Draw informal comparative inferences about two populations.

  • Investigate chance processes and develop, use, and evaluate probability models.

  • Investigate patterns of association in bivariate data.

  • Summarize, represent, and interpret data on a single count or measurable variable.

  • Summarize, represent, and interpret data on two categorical and quantitative variables. 

  •  Interpret linear models. 

Number and Quantity

  • Extend the properties of exponents to  rational  exponents. 

  • Reason quantitatively and use units to solve problems.

Algebra

  • Interpret the structure of expressions. 

  • Write expressions in equivalent forms to solve problems. 

  • Perform arithmetic operations on polynomials. 

  • Rewrite rational expressions. 

  • Create equations that describe numbers or relationships.

  • Understand solving equations as a process of reasoning and explain the reasoning. 

  • Solve equations and inequalities in one variable.

  • Solve systems of equations.

  • Represent and solve equations and inequalities graphically. 

Language Goals

Language goals are to support the construction of math understanding at RD 90 or CASAS Reading score of 221 or higher and CASAS Math score of 217 or higher.

Upon exercising new content or using new domain specific language (Tier 3 Vocabulary), language skills drop a level until the new vocabulary and concepts are integrated into the student's usage base.

For more detailed descriptions and applications see this document:  Oregon Adult College and Career Readiness Standards Detailed Descriptions and Applications for ABE 0787. 

Conventions of Standard English

Language Anchor 1. Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

Knowledge of Language

Language Anchor 3. Apply knowledge of language to understand how language functions in different contexts, make effective choices for meaning or style, and comprehend more fully when reading or listening.

Vocabulary Acquisition and Use

Language Anchor 4. Determine or clarify the meaning of unknown vocabulary as well as words and phrases with multiple meanings by using context clues, analyzing meaningful word parts, and consulting general and specialized reference materials, as appropriate

Language Anchor 6. Acquire and use accurately a range of general academic and domain specific words and phrases sufficient for reading, writing, speaking, and listening at the college and career readiness level; demonstrate independence in gathering vocabulary knowledge when encountering an unknown term important for comprehension or expression.