Gizmos for Tennessee - Mathematics: Algebra 2 (Academic Standards adopted 2021)

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

2: : Algebra

A2.A.SSE: : Seeing Structure in Expressions

A2.A.SSE.A: : Interpret the structure of expressions.

A2.A.SSE.A.1: : Interpret expressions that represent a quantity in terms of its context.

A2.A.SSE.A.1a: : Interpret parts of an expression, such as terms, factors, and coefficients.

A2.A.SSE.A.1b: : Interpret complicated expressions by viewing one or more of their parts as a single entity.

A2.A.APR: : Arithmetic with Polynomials and Rational Expressions

A2.A.APR.A: : Understand the relationship between zeros and factors of polynomials.

A2.A.APR.A.1: : Know and apply the Factor Theorem: For a polynomial p(x) and a number a, p(a) = 0 if and only if (x – a) is a factor of p(x).

A2.A.APR.A.2: : 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.

A2.A.CED: : Creating Equations

A2.A.CED.A: : Create equations that describe numbers or relationships.

A2.A.CED.A.1: : Create equations and inequalities in one variable and use them to solve problems in a real-world context.

A2.A.CED.A.2: : Create equations and inequalities in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations and inequalities with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.

A2.A.CED.A.3: : Rearrange formulas to isolate a quantity of interest using algebraic reasoning.

A2.A.REI: : Reasoning with Equations and Inequalities

A2.A.REI.A: : Understand solving equations as a process of reasoning and explain the reasoning.

A2.A.REI.A.1: : Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.

A2.A.REI.B: : Solve systems of equations.

A2.A.REI.B.3: : Write and solve a system of linear equations in a real-world context.

3: : Functions

A2.F.IF: : Interpreting Functions

A2.F.IF.A: : Interpret functions that arise in applications in terms of the context.

A2.F.IF.A.1: : 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.

A2.F.IF.A.2: : Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate and interpret the rate of change from a graph.

A2.F.IF.B: : Analyze functions using different representations.

A2.F.IF.B.4: : Graph functions expressed algebraically and show key features of the graph by hand and using technology.

A2.F.IF.B.5: : Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

A2.F.IF.B.5a: : Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.

A2.F.IF.B.5b: : Know and use the properties of exponents to interpret expressions for exponential functions in terms of a real-world context.

A2.F.BF: : Building Functions

A2.F.BF.A: : Build a function that models a relationship between two quantities.

A2.F.BF.A.1: : Build a function that describes a relationship between two quantities.

A2.F.BF.A.1a: : Combine standard function types using arithmetic operations.

A2.F.BF.A.2: : Define sequences as functions, including recursive definitions, whose domain is a subset of the integers. Write explicit and recursive formulas for arithmetic and geometric sequences in context and connect them to linear and exponential functions.

A2.F.BF.B: : Build new functions from existing functions.

A2.F.BF.B.3: : 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.

A2.F.BF.B.4: : Find the inverse of a function.

A2.F.BF.B.4b: : Find the inverse of a function on an appropriate domain.

A2.F.LE: : Linear, Quadratic, and Exponential Models

A2.F.LE.A: : Construct and compare linear, quadratic, and exponential models and solve problems.

A2.F.LE.A.1: : Know the relationship between exponential functions and logarithmic functions.

A2.F.LE.A.1b: : Understand that a logarithm is the solution to (ab)^(ct) = d, where a, b, c, and d are numbers.

A2.F.LE.A.1c: : Evaluate logarithms using technology.

A2.F.LE.A.2: : Know that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or cubically.

4: : Statistics and Probability

A2.S.ID: : Interpreting Categorical and Quantitative Data

A2.S.ID.A: : Summarize, represent, and interpret data on a single count or measurement variable.

A2.S.ID.A.1: : Use statistics appropriate to the shape of the data distribution to compare center (mean, median, and/or mode) and spread (range, standard deviation) of two or more different data sets.

A2.S.ID.A.2: : Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages using the Empirical Rule.

A2.S.ID.B: : Summarize, represent, and interpret data on two categorical and quantitative variables.

A2.S.ID.B.4: : Represent data from two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.

A2.S.IC: : Making Inferences and Justifying Conclusions

A2.S.IC.A: : Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

A2.S.IC.A.2: : Identify potential sources of bias in statistical studies.

A2.S.CP: : Conditional Probability and the Rules of Probability

A2.S.CP.A: : Understand independence and conditional probability and use them to create visual representations of data.

A2.S.CP.A.1: : Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. Categorize events as independent or dependent.

A2.S.CP.B: : Understand and apply basic concepts of probability.

A2.S.CP.B.2: : Apply statistical counting techniques.

A2.S.CP.B.2b: : Use permutations and combinations to compute probabilities of compound events and solve problems.

A2.S.CP.B.3: : Use the Law of Large Numbers to assess the validity of a statistical claim.

A2.S.CP.C: : Use the rules of probability to compute probabilities of compound events in a uniform probability model.

A2.S.CP.C.4: : Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A and interpret the answer in terms of the given context.

Correlation last revised: 4/17/2023

Tennessee - Mathematics: Algebra 2

Academic Standards | Adopted: 2021

2: : Algebra

3: : Functions

4: : Statistics and Probability