 Details
 Last Updated: 03 December 2018 03 December 2018
Common Core State Standards for Mathematics Algebra I (V11)  Semester One 


Domain: Creating Equations (ACED)  
Learning Standard: Create equations that describe numbers or relationships  Test Questions 
ACED0912.01 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.  10 
ACED0912.02 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.  31, 35, 36 
ACED0912.04 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.  3, 4, 42 
Domain: Reasoning with Equations and Inequalities (AREI)  
Learning Standard: Understand solving equations as a process of reasoning and explain the reasoning  Test Questions 
AREI0912.01 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.  5, 6, 11 
Learning Standard: Solve equations and inequalities in one variable  Test Questions 
AREI0912.03 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.  7, 8, 9, 12, 13 
Learning Standard: Solve system of equations  Test Questions 
AREI0912.06 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.  55, 56, 57, 58, 59, 60 
Learning Standard: Represent and solve equations and inequalities graphically  Test Questions 
AREI0912.10 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).  46, 61 
AREI0912.12 Graph the solutions to a linear inequality in two variables as a halfplane (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 halfplanes.  45, 62 
Domain: Interpreting Functions (FIF)  
Learning Standard: Understand the concept of a function and use function notation  Test Questions 
FIF0912.01 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).  14 
FIF0912.02 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.  17, 19, 20, 22 
Learning Standard: Interpret functions that arise in applications in terms of the context  Test Questions 
FIF0912.05 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of personhours it takes to assemble in engines in a factory, then the positive integers would be an appropriate domain for the function.  18, 21 
FIF0912.06 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.  23, 24, 25 
Learning Standard: Analyze functions using different representations  Test Questions 
FIF0912.07 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

29, 30, 32 
FIF0912.09 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and al algebraic expression for another, say which has the larger maximum. 
33 
Domain: Linear, Quadratic, and Exponential Models (FLE)  
Learning Standard: Construct and compare linear, quadratic, and exponential models and solve problems  Test Questions 
FLE0912.01 Distinguish between situations that can be modeled with linear functions and with exponential functions.

2 
FLE0912.02 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table).  1, 15, 16, 37, 38, 39, 40 
Learning Standard: Interpret expressions for functions in terms of the situation they model  Test Questions 
FLE0912.05 Interpret the parameters in a linear or exponential function in terms of a context.  34, 41, 43 
Domain: Interpreting Categorical and Quantitative Data (SID)  
Learning Standard: Summarize, represent, and interpret data on two categorical and quantitative variables  Test Questions 
SID0912.06 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

47, 48, 49, 50 
Learning Standard: Interpret linear models  Test Questions 
SID0912.07 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.  26, 27, 28, 44, 51 
SID0912.08 Compute (using technology) and interpret the correlation coefficient of a linear fit.  52, 53 
SID0912.09 Distinguish between correlation and causation.  54 
Multiple Choice: 62 points
Free Response: 11 points
Overall: 73 points