Algebraic and geometric concepts including rational and irrational equations, functions, logarithms, and geometric formulas and principles. Includes real-world applications and problem solving. Concepts are integrated with appropriate College and Career Readiness Standards Levels D & E.

Appropriate placement scores in Math, or a grade of “B-” (2.7) or better in ABE 41 or HSC 41.

### Course Learning Outcomes

### Core Topics

Topics for this course are based on the College & Career Readiness Standards for Mathematical Reasoning (see course outcomes rubric, attached). Students who have achieved 80% competency in 50% of the outcomes within each topic will be awarded one HS21+ credit in Math. Assignments completed as part of this course may also be used to meet outcomes in HS21+ subject area courses building towards award of credit for those subjects, upon determination of the faculty.

- Extend the properties of exponents to rational exponents.
- Reason quantitatively and use units to solve problems.
- Interpret the structure of expressions, including the ability to write expressions in equivalent forms.
- Perform arithmetic operations on polynomials.
- Rewrite equivalent rational expressions.
- Create equations that describe numbers or relationships.
- Understand solving equations as a process of reasoning and explain the reasoning.
- Solve equations, inequalities, and systems of equations algebraically and/or graphically.
- Understand the concept of a function and use function notation.
- Interpret functions that arise in applications in terms of the context.
- Analyze and build functions using different representations.
- Construct and compare linear, quadratic, and exponential models and solve problems.
- Interpret expressions for functions in terms o the situation they model.
- Develop competency in plane geometry by knowing the terms and their properties.
- Prove and apply theorems involving similarity.
- Explain area and volume formulas and use them to solve problems.
- Apply geometric concepts in modeling situations.
- 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.