MATH 021 - Introductory Algebra for Precalculus

• 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.
• Generate an equation of a line given sufficient characteristics.
• Create, use, and interpret linear models in a variety of authentic settings.
• 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.

1. Decimal place value and the number line
2. Integer exponents and scientific notation
3. Proportions and percentages
4. Unit conversion
5. Square roots
6. Absolute value
7. Variables and formulas
8. Solving equations
9. Linear inequalities
10. Linear equations and lines
11. Graphs
12. Systems of two linear equations
13. Polynomial addition, subtraction, and multiplication
14. Problem-solving skills
15. Study skills