MCC9-12.A: High School?Algebra

MCC9-12.A.SSE.1a: Interpret parts of an expression, such as terms, factors, and coefficients.

MCC9-12.A.SSE.1b: Interpret complicated expressions by viewing one or more of their parts as a single entity.

MCC9-12.A.SSE.2: Use the structure of an expression to identify ways to rewrite it.

MCC9-12.A.APR.1: 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.

MCC9-12.A.APR.2: Know and apply the Remainder Theorem: For a polynomial ??(??) and a number ??, the remainder on division by ?? ? ?? is ??(??), so ??(??) = 0 if and only if (?? ? ??) is a factor of ??(??).

MCC9-12.A.APR.3: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

MCC9-12.A.APR.5: Know and apply the Binomial Theorem for the expansion of (?? + ??)? in powers of ?? and y for a positive integer ??, where ?? and ?? are any numbers, with coefficients determined for example by Pascal?s Triangle.

MCC9-12.A.CED.1: Create equations and inequalities in one variable and use them to solve problems.

MCC9-12.A.CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

MCC9-12.A.CED.3: 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.

MCC9-12.A.CED.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

MCC9-12.A.REI.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

MCC9-12.A.REI.11: Explain why the ??-coordinates of the points where the graphs of the equations ?? = ??(??) and ?? = ??(??) intersect are the solutions of the equation ??(??) = ??(??); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where ??(??) and/or ??(??) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

MCC9-12.F: High School?Functions

MCC9-12.F.IF.4: 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.

MCC9-12.F.IF.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

MCC9-12.F.IF.6: 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.

MCC9-12.F.IF.7a: Graph linear and quadratic functions and show intercepts, maxima, and minima.

MCC9-12.F.IF.7b: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

MCC9-12.F.IF.7c: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

MCC9-12.F.IF.7d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

MCC9-12.F.IF.7e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

MCC9-12.F.IF.8a: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

MCC9-12.F.BF.1a: Determine an explicit expression, a recursive process, or steps for calculation from a context.

MCC9-12.F.BF.3: Identify the effect on the graph of replacing ??(??) by ??(??) + ??, ?? ??(??), ??(????), and ??(?? + ??) for specific values of ?? (both positive and negative); find the value of ?? given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

MCC9-12.F.BF.4b: Verify by composition that one function is the inverse of another.

MCC9-12.F.BF.4c: Read values of an inverse function from a graph or a table, given that the function has an inverse.

MCC9-12.F.BF.5: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MCC9-12.F.LE.4: For exponential models, express as a logarithm the solution to ???? to the ???? power = ?? where ??, ??, and ?? are numbers and the base ?? is 2, 10, or ??; evaluate the logarithm using technology.

MCC9-12.F.TF.5: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

MCC9-12.S: High School?Statistics and Probability

MCC9-12.S.ID.2: 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.

MCC9-12.S.IC.4: Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

MCC9-12.S.IC.5: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

Correlation last revised: 3/7/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.