A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | |
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1 | Algebra I | ||||||||||||||||||||||||

2 | A.SSE.1 | Seeing Structure In Expressions | Interpret The Structure Of Expressions | Interpret expressions that represent a quantity in terms of its context. | |||||||||||||||||||||

3 | A.SSE.1.a | Seeing Structure In Expressions | Interpret The Structure Of Expressions | Interpret parts of an expression, such as terms, factors, and coefficients. | |||||||||||||||||||||

4 | A.SSE.1.b | Seeing Structure In Expressions | Interpret The Structure Of Expressions | Interpret complicated expressions by viewing one or more of their parts as a single entity. | |||||||||||||||||||||

5 | A.SSE.2 | Seeing Structure In Expressions | Interpret The Structure Of Expressions | Use the structure of an expression to identify ways to rewrite it. | |||||||||||||||||||||

6 | A.SSE.3 | Seeing Structure In Expressions | Write Expressions In Equivalent Forms To Solve Problems | Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ | |||||||||||||||||||||

7 | A.SSE.3.a | Seeing Structure In Expressions | Write Expressions In Equivalent Forms To Solve Problems | Factor a quadratic expression to reveal the zeros of the function it defines. | |||||||||||||||||||||

8 | A.APR.2 | Arithmetic With Polynomials And Rational Expressions | Understand The Relationship Between Zeros And Factors Of Polynomials | Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x). | |||||||||||||||||||||

9 | A.APR.6 | Arithmetic With Polynomials And Rational Expressions | Rewrite Rational Expressions | Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. | |||||||||||||||||||||

10 | A.CED.1 | Creating Equations | Create Equations That Describe Numbers Or Relationships | 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. | |||||||||||||||||||||

11 | A.CED.2 | Creating Equations | Create Equations That Describe Numbers Or Relationships | Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. | |||||||||||||||||||||

12 | A.CED.3 | Creating Equations | Create Equations That Describe Numbers Or Relationships | Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- viable options in a modeling context. | |||||||||||||||||||||

13 | A.CED.4 | Creating Equations | Create Equations That Describe Numbers Or Relationships | Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. | |||||||||||||||||||||

14 | A.REI.1 | Reasoning With Equations And Inequalities | Understand Solving Equations As A Process Of Reasoning And Explain The Reasoning | 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. | |||||||||||||||||||||

15 | A.REI.3 | Reasoning With Equations And Inequalities | Solve Equations And Inequalities In One Variable | Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. | |||||||||||||||||||||

16 | A.REI.4 | Reasoning With Equations And Inequalities | Solve Equations And Inequalities In One Variable | Solve quadratic equations in one variable. | |||||||||||||||||||||

17 | A.REI.4.b | Reasoning With Equations And Inequalities | Solve Equations And Inequalities In One Variable | Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. | |||||||||||||||||||||

18 | A.REI.10 | Reasoning With Equations And Inequalities | Represent And Solve Equations And Inequalities Graphically | 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). | |||||||||||||||||||||

19 | F.IF.1 | Interpreting Functions | Understand The Concept Of A Function And Use Function Notation | 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, then 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). | |||||||||||||||||||||

20 | F.IF.2 | Interpreting Functions | Understand The Concept Of A Function And Use Function Notation | Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. | |||||||||||||||||||||

21 | F.IF.5 | Interpreting Functions | Interpret Functions That Arise In Applications In Terms Of The Context | Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. | |||||||||||||||||||||

22 | F.IF.7 | Interpreting Functions | Analyze Functions Using Different Representations | Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ | |||||||||||||||||||||

23 | F.IF.7.a | Interpreting Functions | Analyze Functions Using Different Representations | Graph linear and quadratic functions and show intercepts, maxima, and minima. | |||||||||||||||||||||

24 | S.ID.1 | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On A Single Count Or Measurement Variable | Represent data with plots on the real number line (dot plots, histograms, and box plots). | |||||||||||||||||||||

25 | S.ID.2 | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On A Single Count Or Measurement Variable | Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. | |||||||||||||||||||||

26 | S.ID.3 | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On A Single Count Or Measurement Variable | Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). | |||||||||||||||||||||

27 | S.ID.4 | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On A Single Count Or Measurement Variable | Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. | |||||||||||||||||||||

28 | S.ID.6 | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On Two Categorical And Quantitative Variables | Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. | |||||||||||||||||||||

29 | S.ID.6.b | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On Two Categorical And Quantitative Variables | Informally assess the fit of a function by plotting and analyzing residuals. | |||||||||||||||||||||

30 | S.ID.6.c | Interpreting Categorical And Quantitative Data | Summarize, Represent, And Interpret Data On Two Categorical And Quantitative Variables | Fit a linear function for a scatter plot that suggests a linear association. | |||||||||||||||||||||

31 | S.ID.7 | Interpreting Categorical And Quantitative Data | Interpret Linear Models | Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. | |||||||||||||||||||||

32 | S.ID.8 | Interpreting Categorical And Quantitative Data | Interpret Linear Models | Compute (using technology) and interpret the correlation coefficient of a linear fit. | |||||||||||||||||||||

33 | S.ID.9 | Interpreting Categorical And Quantitative Data | Interpret Linear Models | Distinguish between correlation and causation. | |||||||||||||||||||||

34 | S.IC.1 | Making Inferences And Justifying Conclusions | Understand And Evaluate Random Processes Underlying Statistical Experiments | Understand statistics as a process for making inferences about population parameters based on a random sample from that population. | |||||||||||||||||||||

35 | S.MD.5.a | Using Probability To Make Decisions | Use Probability To Evaluate Outcomes Of Decisions | Find the expected payoff for a game of chance. | |||||||||||||||||||||

36 | N.Q .2 | Quantities | Reason Quantitatively And Use Units To Solve Problems. | Define appropriate quantities for the purpose of descriptive modeling. | |||||||||||||||||||||

37 | N.Q .3 | Quantities | Reason Quantitatively And Use Units To Solve Problems. | Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. | |||||||||||||||||||||

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