MATH 041 - Corequisite Algebra for MATH& 141

• Classify numbers as rational or irrational.
• Use standard function notation and demonstrate understanding of vocabulary terms such as domain, range, and independent and dependent variables.
• Create, use, and identify key features of the graphs of points, lines, and parabolas in the plane.
• Create, use, and interpret linear models in a variety of authentic settings.
• Apply exponent rules to simplify expressions with positive and negative exponents.
• Factor quadratic and quadratic-style expressions.
• Solve quadratic equations by factoring and by using the quadratic formula.
• Perform polynomial long division.
• Simplify rational expressions and solve rational equations.
• Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations.
• Convert between logarithmic and exponential form of an equation.
• Recognize when approximations are appropriate and when exact calculations are necessary.
• Use technology as a tool for calculating and graphing.
• Explain the difference between a fixed mindset and a growth mindset in the context of learning mathematics.
• Demonstrate techniques that improve problem solving in precalculus; for example, make predictions, document appropriately, and check the reasonableness of answers.
• Practice productive struggle to creatively solve problems, enhance metacognition, and strengthen independent learning.
• Describe a mathematician’s work in science, technology, engineering, math, or business.
• Access and use educational resources to supplement ongoing learning.

1. Functions
2. Graphs
3. Linear and quadratic models
4. Solving quadratic equations
5. Polynomial long division
6. Rational and irrational numbers
7. Rational expressions and equations
8. Radical expressions and equations
9. Rational exponents and exponent rules
10. Exponentials and logarithms
11. Problem-solving skills
12. Mathematics in the world
13. Study skills