Tuesday, August 9, 2011

Algebra I Standards List for SBG

So after many months of planning for standards-based grading in my classroom this year, I have finally written out the standards. These are the standards provided by the state.  I am considering merging and/or splitting a few of them. I have seen several lists that are simply “topics” and I know I do not want to do that with mine. However, the problem is that I don’t want them to be so specific that I have boxed myself into one type of problem. I also don’t want it to be so broad that I have trouble testing it all or assigning a mastery grade. If anyone has any suggestions for my list, I’d love to hear them! Also, I should mention this is for Algebra I only.
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.


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.

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