CAP 017 - CAP Integrated Algebra and Geometry

Credits: 5
LEC hours per week: 5
Students will be introduced to basic algebraic and geometric concepts through a contextualized, integrated curriculum. Students will review basic concepts of number sense, ratios, proportions, and percents and apply these skills to algebraic and geometric word problems. Students will also become familiar with polygons, circles, lines, and angles and their relationship with algebra by solving multi-step real life word problems. Students will increase their basic knowledge of algebra by understanding and applying signed numbers to real world concepts, solving multi-step equations, solving and graphing inequalities, linear equations, and an introduction to nonlinear equations, with an emphasis on quadratics. Students completing this course with a 70% or better will meet the requirements for High School 21+ to earn one (1) credit of high school math equivalency. Prerequisite: All students who are under 18 years of age must have a signed release form from their school district. Students 16-17 years of age must first be admitted to the college following Alternative Education Program (AEP) eligibility or the Underage Admission Policy, which is available in the High School Programs office. Formerly: ABE 017.
Course Outcomes:

Interpret the concept of a variable as an unknown quality.
Translate statements written in English into algebraic expressions or equations.
Perform operations with signed numbers using contextualized word problems.
Apply the order of operations algorithm to algebraic expressions.
Solve linear equations (single-step to four-step) and inequalities using a vertical format.
Evaluate and solve nonlinear equations with a focus on quadratics.
Apply the commutative, associative and distributive properties.
Evaluate algebraic expressions and formulas.
Solve formulas for a specified variable.
Solve basic applications problems algebraically.
Represent and interpret information numerically, algebraically, and graphically.
Create linear graphs given an equation or data points.
Interpret the concept of slope both graphically and symbolically.
Find slopes given graphs, equations, or data points.
Interpret data using mean, median, mode, and range in contextualized situations.
Solve arithmetic and algebraic ratio and percentage multi-step word problems.
Use algebraic formulas to solve geometric word problems: area, perimeter, volume, surface area, and circumference.
Apply geometric concepts of lines, angles, polygons, triangles, Pythagorean Theorem, and circles to real life applications.
Use a scientific calculator appropriately.
Write clear, complete solutions to mathematical problems, including correct notation, and written explanations when appropriate.
Compile evidence through a reflective portfolio assessment process, which documents academic growth, increase proficiency in, and knowledge of content skill area.

Course Topics:

Basic concepts of number sense, ratios, proportions, and percents, and application of these skills to algebraic and geometric word problems.
Polygons, circles, lines, and angles, and their relationship to algebra.
Multi-step equations, solving and graphing inequalities, linear equations, and an introduction to nonlinear equations, with an emphasis on quadratics.