Course overview
Algebra 1 turns arithmetic patterns into general rules. The course begins with expressions and equations, builds a visual understanding of linear functions, then extends those tools to systems, exponents, polynomials, quadratics, and simple models.
Syllabus
- 01→
Foundations and Expressions
Translate between words and algebraic expressions, use properties of real numbers, and simplify expressions without changing their value.
- 02→
Linear Equations and Inequalities
Solve one-variable equations and inequalities, including fractions, parentheses, variables on both sides, and real constraints.
- 03→
Linear Functions and Graphs
Connect equations, tables, graphs, slope, and intercepts so a line becomes a meaningful rate-and-starting-value model.
- 04→
Systems of Equations
Find values that satisfy two equations at once by graphing, substitution, or elimination, then interpret the intersection in context.
- 05→
Exponents and Radicals
Use exponent laws, scientific notation, square roots, and rational exponents to rewrite and evaluate expressions.
- 06→
Polynomials and Factoring
Add, multiply, and factor polynomial expressions, with special attention to common factors and quadratic patterns.
- 07→
Quadratic Equations and Graphs
Solve quadratic equations by factoring, square roots, completing the square, and the quadratic formula, then connect solutions to a parabola.
- 08→
Exponential Models and Data
Distinguish linear from exponential change, write growth and decay models, and judge whether a model fits data and context.