ICD: Inferences and Conclusions from Data

(Framing Text): Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

ICD.M.3HS.4: Recognize the purposes of and differences among sample surveys, experiments and observational studies; explain how randomization relates to each.

 Polling: City
 Polling: Neighborhood

ICD.M.3HS.5: 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.

 Estimating Population Size
 Polling: City
 Polling: Neighborhood

ICD.M.3HS.6: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

 Real-Time Histogram
 Sight vs. Sound Reactions

(Framing Text): Use probability to evaluate outcomes of decisions.

ICD.M.3HS.8: Use probabilities to make fair decisions (e.g., drawing by lots or using a random number generator).

 Probability Simulations
 Theoretical and Experimental Probability

ICD.M.3HS.9: Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, and/or pulling a hockey goalie at the end of a game).

 Estimating Population Size
 Probability Simulations
 Theoretical and Experimental Probability

PRR: Polynomials, Rational, and Radical Relationships

(Framing Text): Use polynomial identities to solve problems.

PRR.M.3HS.18: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x ²+ y²)² = (x² – y²)² + (2xy)² can be used to generate Pythagorean triples.

 Factoring Special Products

PRR.M.3HS.19: Know and apply the Binomial Theorem for the expansion of (x + y)ⁿ in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.

 Binomial Probabilities

(Framing Text): Represent and solve equations and inequalities graphically.

PRR.M.3HS.23: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately (e.g., using technology to graph the functions, make tables of values or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential and logarithmic functions.

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Standard Form of a Line

(Framing Text): Analyze functions using different representations.

PRR.M.3HS.24: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph polynomial functions, identifying zeros when suitable factorizations are available and showing end behavior.

 Absolute Value with Linear Functions
 Exponential Functions
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions

MM: Mathematical Modeling

(Framing Text): Create equations that describe numbers or relationships.

MM.M.3HS.31: 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.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Exploring Linear Inequalities in One Variable
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 General Form of a Rational Function
 Geometric Sequences
 Introduction to Exponential Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Logarithmic Functions
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Rational Functions
 Slope-Intercept Form of a Line
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Translating and Scaling Functions
 Using Algebraic Equations

MM.M.3HS.32: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

 2D Collisions
 Air Track
 Compound Interest
 Determining a Spring Constant
 Golf Range
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

MM.M.3HS.33: 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. (e.g., Represent inequalities describing nutritional and cost constraints on combinations of different foods.)

 Linear Inequalities in Two Variables
 Linear Programming
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

MM.M.3HS.34: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (e.g., Rearrange Ohm’s law V = IR to highlight resistance R.)

 Area of Triangles
 Solving Formulas for any Variable

(Framing Text): Analyze functions using different representations.

MM.M.3HS.38: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

MM.M.3HS.38.a: Graph square root, cube root and piecewise-defined functions, including step functions and absolute value functions.

 Absolute Value with Linear Functions
 Radical Functions
 Translating and Scaling Functions

MM.M.3HS.38.b: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline and amplitude.

 Cosine Function
 Sine Function
 Tangent Function
 Translating and Scaling Sine and Cosine Functions

MM.M.3HS.40: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (e.g., Given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.)

 General Form of a Rational Function
 Graphs of Polynomial Functions
 Linear Functions
 Logarithmic Functions
 Quadratics in Polynomial Form

Correlation last revised: 4/7/2017

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