Gizmos for Tennessee - Mathematics: Integrated Mathematics 3 (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

M3.A.SSE: : Seeing Structure in Expressions

M3.A.SSE.A: : Interpret the structure of expressions.

M3.A.SSE.A.1: : Interpret expressions that represent a quantity in terms of its context.

M3.A.SSE.A.1a: : Interpret parts of an expression, such as terms, factors, and coefficients.

M3.A.SSE.A.1b: : Interpret complicated expressions by viewing one or more of their parts as a single entity.

M3.A.APR: : Arithmetic with Polynomials and Rational Expressions

M3.A.APR.A: : Understand the relationship between zeros and factors of polynomials.

M3.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).

M3.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.

M3.A.CED: : Creating Equations

M3.A.CED.A: : Create equations that describe numbers or relationships.

M3.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.

3: : Functions

M3.F.IF: : Interpreting Functions

M3.F.IF.B: : Interpret functions that arise in applications in terms of the context.

M3.F.IF.B.3: : 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.

M3.F.IF.B.4: : 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.

M3.F.IF.C: : Analyze functions using different representations.

M3.F.IF.C.5: : Graph functions expressed algebraically and show key features of the graph by hand and using technology.

M3.F.BF: : Building Functions

M3.F.BF.A: : Build new functions from existing functions.

M3.F.BF.A.1: : Build a function that describes a relationship between two quantities.

M3.F.BF.A.1a: : Combine standard function types using composition.

M3.F.BF.A.2: : 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 graphs.

M3.F.LE: : Linear, Quadratic, and Exponential Models

M3.F.LE.A: : Construct and compare linear, quadratic, and exponential models and solve problems.

M3.F.LE.A.1: : Know that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or cubically.

M3.F.LE.A.2: : Know the relationship between exponential functions and logarithmic functions.

M3.F.LE.A.2b: : Understand that a logarithm is the solution to (ab)^(ct) = d, where a, b, c, and d are numbers.

M3.F.LE.A.2c: : Evaluate logarithms using technology.

4: : Geometry

M3.G.SRT: : Similarity, Right Triangles, and Trigonometry

M3.G.SRT.A: : Define trigonometric ratios and solve problems involving triangles.

M3.G.SRT.A.1: : Use side ratios in right triangles to define trigonometric ratios.

M3.G.SRT.A.1a: : Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

M3.G.SRT.A.1b: : Explain and use the relationship between the sine and cosine of complementary angles.

M3.G.SRT.A.2: : Solve triangles.

M3.G.SRT.A.2a: : Know and use the Pythagorean Theorem and trigonometric ratios (sine, cosine, tangent, and their inverses) to solve right triangles in a real-world context.

M3.G.GMD: : Geometric Measurement and Dimension

M3.G.GMD.A: : Explain volume and surface area formulas and use them to solve problems.

M3.G.GMD.A.1: : Understand and explain the formulas for the volume and surface area of a cylinder, cone, prism, and pyramid.

M3.G.GMD.A.2: : Use volume and surface area formulas for cylinders, cones, prisms, pyramids, and spheres to solve problems in a real-world context.

5: : Statistics and Probability

M3.S.ID: : Interpreting Categorical and Quantitative Data

M3.S.ID.A: : Summarize, represent, and interpret data on a single count or measurement variable.

M3.S.ID.A.1: : Use measures of center to solve real-world and mathematical problems.

M3.S.ID.A.2: : Use statistics appropriate to the shape of the data distribution to compare center (mean, median, and/or mode) and spread (range, interquartile range, and standard deviation) of two or more different data sets.

M3.S.ID.A.3: : Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points.

M3.S.ID.A.4: : 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.

M3.S.ID.B: : Summarize, represent, and interpret data on two categorical and quantitative variables.

M3.S.ID.B.6: : 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.

M3.S.IC: : Making Inferences and Justifying Conclusions

M3.S.IC.A: : Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

M3.S.IC.A.2: : Identify potential sources of bias in statistical studies.

M3.S.CP: : Conditional Probability and the Rules of Probability

M3.S.CP.A: : Understand independence and conditional probability and use them to create visual representations of data.

M3.S.CP.A.2: : Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. Categorize events as independent or dependent.

M3.S.CP.B: : Understand and apply basic concepts of probability.

M3.S.CP.B.3: : Apply statistical counting techniques.

M3.S.CP.B.3b: : Use permutations and combinations to compute probabilities of compound events and solve problems.

M3.S.CP.B.4: : Use the Law of Large Numbers to assess the validity of a statistical claim.

M3.S.CP.C: : Use the rules of probability to compute probabilities of compound events in a uniform probability model.

M3.S.CP.C.5: : 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.

M3.S.CP.C.7: : Calculate probabilities using geometric figures.

Correlation last revised: 4/17/2023

Tennessee - Mathematics: Integrated Mathematics 3

Academic Standards | Adopted: 2021

2: : Algebra

3: : Functions

4: : Geometry

5: : Statistics and Probability