CAP 021 - Introductory Algebra for Precalculus

Credits: 5
LEC hours per week: 5
CAP 021 is an introductory algebra course intended to prepare students for the corequisite Precalculus I course pair. CAP 021 focuses on developing and applying numeric, algebraic, graphic, and metacognitive skills necessary for success in MATH 041 - Corequisite Algebra for MATH& 141. This course will satisfy the Algebra 2 requirement for HS+ credit. Formerly: ABE 023.
Course Outcomes:

Use decimal place value to read and order numbers on a number line.
Convert between decimal and scientific notation.
Calculate with and convert between decimals, fractions, and percentages and interpret their significance in a variety of contexts.
Use dimensional analysis to convert units of time, length, area, volume, and speed.
Use Order of Operations to evaluate expressions including those with fractions, square roots, absolute value, and integer exponents.
Translate between simple word phrases and mathematical notation, using variables to represent quantities where necessary.
Evaluate a formula given a list of variable values.
Solve single variable linear equations and proportions.
Solve linear inequalities and graph their solutions on the number line.
Solve multivariable equations or formulae for a given variable.
Read and interpret graphs, charts, and tables.
Create and use the graphs of points and lines in the plane.Â
Generate an equation of a line given sufficient characteristics.
Create, use, and interpret linear models in a variety of authentic settings.Â
Model with, and solve, systems of two linear equations in two variables.
Add, subtract, multiply, and simplify polynomial expressions.
Apply Polya’s four-step problem-solving process.
Use technology as a tool for calculating and graphing.
Explain the difference between a fixed mindset and a growth mindset.
Practice productive struggle to creatively solve problems, enhance metacognition, and strengthen independent learning.