## Course Content and Outcome Guide for ABE 0787

- Course Number:
- ABE 0787
- Course Title:
- Foundations of Math II
- Credit Hours:
- Lecture Hours:
- 40
- Lecture/Lab Hours:
- 0
- Lab Hours:
- 0
- Special Fee:

#### Course Description

Develops an understanding of rational numbers (fractions, percents, decimals, ratio, and proportion), pre-algebra, algebra, statistics, geometry and measurements. Includes applications that involve whole numbers, decimals and fractions. Prerequisites: Placement into RD 80 or higher or CASAS Reading score of 211 or higher.#### Intended Outcomes for the course

Upon successful completion, students should be able to:

- Apply life experiences to identify a question or situation that can use a mathematical approach
- Solve problems and make decisions using multiple and effective math strategies
- Understand, interpret and work with concrete objects and symbolic representation (e.g. pictures, numbers, graphs, computer representations)
- Utilize technology to solve a mathematical problem
- Determine the degree of precision best suited to the situations
- To be prepared for future math classes

#### Course Activities and Design

**Curriculum**

- Apply a variety of mathematical concepts involving rational numbers.
- Create equivalent representations of numbers up to a billion and to the nearest thousandths.
- Recognize that a fraction can represent different ideas ( e.g. a ratio representing part: part, part: whole)

Find the probability of a single outcome in a simple concrete situation with a very limited

number of possible outcomes.

- Describe how the simple probability of an event occurring is influenced by various factors.
- Compare the likelihood of two uncertain outcomes using simple language.
- Use proportional reasoning to solve a variety of problems, including percent increase or decreaseExplain ratios as equivalent forms of fractions

Read, write, interpret and apply common types of information related to measurement and geometry.

- Recognize and use commonly used standard units of measure.
- Make inference about the formulas for simple two-dimensional shapes.
- Demonstrate an understanding of the coordinate graph system, including ordered pairs.
- Infer about the relationship between angles and sides n similar triangles.

Read, interpret and apply a variety of common symbolic information.

- Recognize and develop repeating patterns and generalize the relationship with a table, rule, graph, or one?step formula.
- Develop formulas and create simple linear graphs from tables.
- Apply order of operations to evaluate expressions.
- Solve multi?step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation.

Read and interpret and pose questions with a variety of common data and statistical information.

- Identify the shape, range, mean, median, and mode of sets of data.
- Organize data and choose an appropriate representation.
- Make inferences based on the data.

#### 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

#### Course Content (Themes, Concepts, Issues and Skills)

**Themes:** Family, Citizen, Lifelong Learner, Worker

**Concepts:** goal setting, critical thinking, math vocabulary, decision making, confidence building, collaborative team work

**Issues:** barriers to student success, access to resources, communication skills, learning differences, test and school anxiety, employability, testing strategies, cultural awareness, motivation

**Skills:**

- Compute and apply skills with rational numbers
- Understand, interpret and work with concrete objects and symbolic representations
- Estimate to predict results and check to see if results are reasonable
- Communicate reasoning and results in a variety of ways such as words, graphs, charts, tables and algebraic models.
- Apply life experiences and knowledge of mathematical concepts, procedures, and technology to figure out how to answer a question. Solve a problem, make a prediction, or carry out a task that has mathematical dimension.