|Common Core State Standards for Mathematics
Sheltered Algebra I (V01) - Semester Two
|Domain: Arithmetic With Polynomials and Rational Expressions (AAPR)|
|Learning Standard: Perform arithmetic operations on polynomials.||Test Questions|
|AAPR09-12.01 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.||10, 11, 12, 13, 14|
|Domain: Reasoning With Equations and Inequalities (AREI)|
|Learning Standard: Solve equations and inequalities in one variable.||Test Questions|
AREI09-12.04 Solve quadratic equations in one variable.
|17, 18, 19, 20, 21, 22|
|Domain: Seeing Structure in Expressions (ASSE)|
|Learning Standard: Write expressions in equivalent forms to solve problems.||Test Questions|
ASSE09-12.03 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
|15, 16, 26, 32, 33|
|Domain: Building Functions (FBF)|
|Learning Standards: Build new functions from existing functions.||Test Questions|
|FBF09-12.03 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.||41, 42, 43, 44, 45, 46, 47|
|Domain: Interpreting Functions (FIF)|
|Learning Standard: Interpret functions that arise in applications in terms of the context.||Test Questions|
|FIF09-12.04 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.||23, 34, 39|
|FIF09-12.05 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 person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.||48|
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.
|24, 25, 27, 29, 36, 40|
|Learning Standard: Analyze functions using different representations.||Test Questions|
FIF09-12.08 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
|8, 28, 31, 37, 38|
FIF09-12.09 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
|Domain: Linear, Quadratic, & Exponential Models (FLE)|
|Learning Standard: Construct and compare linear, quadratic, and exponential models and solve problems.||Test Questions|
|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).||9, 49|
|FLE09-12.03 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.||50, 51|
|Domain: The Real Number System (NRN)|
|Learning Standard: Extend the properties of exponents to rational exponents.||Test Questions|
|NRN09-12.02 Rewrite expressions involving radicals and rational exponents using the properties of exponents.||1, 2, 3, 4, 5, 6, 7|
Multiple Choice: 51 points
Free Response: 10 points
Overall: 61 points