This list of standards comes straight from the state list of SPIs for Algebra I. I decided to stick with the exact standards this year instead of making any adjustments. Next year I may split some standards or combine some standards. I wanted some type of "normal" to compare to though, so no changes yet.
I have also seen several people have their standards listed more like "topics". I decided not to do that because to me that is not specific enough.
THE STUDENT WILL BE ABLE TO….
Mathematical Processes
1. Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or function notation.
2. Write an equation symbolically to express a contextual problem.
3. Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems.
4. Translate between representations of functions that depict real-world situations.
5. Recognize and express the effect of changing constants and/or coefficients in problem solving.
6. Determine and interpret slope in multiple contexts including rate of change in real-world problems.
Numbers & Operations
7. Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions.
8. Multiply, divide, and square numbers expressed in scientific notation.
9. Describe and/or order a given set of real numbers including both rational and irrational numbers.
Algebra
10. Express a generalization of a pattern in various representations including algebraic and function notation.
11. Operate with polynomials and simplify results.
12. Factor polynomials.
13. Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables.
14. Write and/or solve linear equations inequalities, and compound inequalities including those containing absolute value.
15. Interpret various relations in multiple representations.
16. Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value.
17. Determine the equation of a line and/or graph a linear equation.
18. Solve systems of linear equation/inequalities in two variables.
19. Find the solution of a quadratic equation and/or zeros of a quadratic function.
20. Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation.
Geometry & Measurement
21. Develop and apply strategies to estimate the area of any shape on a plane grid.
22. Solve contextual problems using the Pythagorean Theorem.
23. Solve problems involving the distance between points or midpoint of a segment.
24. Convert rates and measurements.
Data Analysis, Statistics, & Probability
25. Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set).
26. Identify the effect on mean, median, mode, and range when values in the data set are changed.
27. Using a scatter-plot, determine if a linear relationship exists and describe the association between variables.
28. Generate the equation of a line that fits linear data and use it to make a prediction.
29. Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.