Mathematical concepts including real numbers, solving equations and inequalities, exponents and polynomials, factoring, graphing, and systems with real-world applications and problem solving. Concepts are integrated with appropriate College and Career Readiness Standards Levels C, D, E.
Appropriate placement scores in Math, or a grade of “B-” (2.7) or better in ABE 040 or HSC 040. Enrollment is by permission only.
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.
- Use place value understanding and properties of operations to perform multi-digit arithmetic.
- Perform and compute operations fluently with multi-digit whole numbers using factors and multiples in both whole number and decimal notation.
- Extend understanding of fraction equivalence, ordering, and comparing with whole numbers.
- Know how to perform all four basic operations of fractions using multiple strategies.
- Understand ratio concepts and use ratio reasoning to solve problems.
- Use the four operations with whole numbers to solve problems.
- Generate and analyze patterns
- Write and interpret arithmetic and algebraic expressions, one variable equations and inequalities.
- Represent and analyze quantitative relationships between dependent and independent variables.
- Draw, identify, and classify lines and angles, and classify shapes (two and three dimensional) by properties of their lines and angles.
- Graph points on the coordinate plane to solve real-world and mathematical problems.
- Solve real-world and mathematical problems involving angle measure, area, surface area, and volume using both measurement and conversion.
- Develop understanding of statistical variability by interpreting data and describing distributions.
- Apply previous knowledge of fractions and decimals to understand the concepts and operations (+,-,*,/) of rational numbers.
- Build proportions using ratios to solve mathematical and real-world problems.
- Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
- Work with radicals and integer exponents.
- Understand and apply the connections between proportional relationships, lines and linear equations including simultaneous linear equations.
- Define, evaluate and compare functions to model relationships between quantities.
- Draw, construct, describe geometric figures, describe the relationships as being congruent, similar, reflective, rotated, or translated.
- Understand and apply the Pythagorean Theorem.
- Use random sampling to draw inferences about a population and draw informal comparative inferences about two populations.
- Investigate and develop chance processes; use and evaluate probability models.
- Investigate patterns of association in bi-variant data.