Common Core State Standards
Sheltered Algebra I (V01) - Semester One
Domain: Creating Equations (ACED)
Learning Standard: Create equations that describe numbers or relationships. Test Questions
ACED09-12.02 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. 21, 22
ACED09-12.04 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. 2, 25, 26
Domain: Reasoning With Equations & Inequalities (AREI)
Learning Standard: Solve equations and inequalities in one variable. Test Questions
AREI09-12.03 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. 4, 5, 6, 7, 8
Learning Standard: Solve system of equations. Test Questions
AREI09-12.06 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. 30, 31, 32, 33, 34
Learning Standard: Represent and solve equations and inequalities graphically. Test Questions
AREI09-12.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). 29, 35
AREI09-12.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. 28
Domain: Interpreting Functions (FIF)
Learning Standard: Understand the concept of a function and use function notation. Test Questions
FIF09-12.01 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, the f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y=f(x). 9
FIF09-12.02 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. 12, 11, 13, 14
Learning Standard: Interpret functions that arise in applications in terms of the context. Test Questions
FIF09-12.06 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. 15, 16
Learning Standard: Analyze functions using different representations. Test Questions

FIF09-12.07 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

  • Graph linear and quadratic functions and show intercepts, maxima, and minima.
  • Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

18, 19, 20
Domain: Linear, Quadratic, & Exponential Models (FLE)
Learning Standard: Construct and compare linear, quadratic, and exponential models and solve problems. Test Questions

FLE09-12.01 Distinguish between situations that can be modeled with linear functions and with exponential functions.

  • Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
  • Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
  • Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another
1, 3
FLE09-12.02 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). 10, 23, 24, 27
Domain: Interpreting Categorical & Quantitative Data (SID)
Learning Standard: Interpret linear models. Test Questions
SID09-12.07 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. 17

 

Multiple Choice: 35 points
Free Response: 5 points
Overall: 40 points

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