📘 Algebra I Learning Outcomes (California — High School Standards)

(Note: Algebra I is a high school level course, but many California schools allow students to take it in 8th grade if ready.)

📌 Core Content & Skills Students Should Master

1. Algebraic Expressions and Equations

• Interpret and manipulate algebraic expressions.

• Understand polynomial operations.

• Write and solve linear and quadratic equations and inequalities.

• Solve systems of equations.

2. Functions

• Analyze characteristics of functions (linear, quadratic, exponential).

• Interpret function representations (tables, graphs, equations).

• Model real‐world situations with functions.

3. Number and Quantity

• Extend properties of exponents to rational exponents.

• Work with and simplify expressions using radicals and rational exponents.

• Understand rational and irrational numbers.

4. Reasoning with Equations and Inequalities

• Reason about expressions and equations in problem solving.

• Use equations and inequalities to represent relationships and analyze solutions.

5. Modeling and Applications

• Use algebra to model real-world phenomena.

• Interpret results in context and refine models.

6. Mathematical Practices

Students apply the same eight Standards for Mathematical Practice (listed above) at a more advanced level in Algebra I.