This is a teacher demonstration used to show an example of kinetic …
This is a teacher demonstration used to show an example of kinetic molecular energy using food coloring and water. The students are also given opportunity to develop their own questions and tests.
This is a two-part activity that implements an extension of the "think-pair-share" …
This is a two-part activity that implements an extension of the "think-pair-share" cooperative learning technique to study the determinants of supply and demand through hypothetical and real world examples.
This is a teacher demonstration used to show an example of kinetic …
This is a teacher demonstration used to show an example of kinetic molecular energy using food coloring and water. The students are also given opportunity to develop their own questions and tests.
Students learn the basics of the electromagnetic spectrum and how various types …
Students learn the basics of the electromagnetic spectrum and how various types of electromagnetic waves are related in terms of wavelength and energy. In addition, they are introduced to the various types of waves that make up the electromagnetic spectrum including, radio waves, ultraviolet waves, visible light and infrared waves. These topics help inform students before they turn to designing solutions to an overarching engineering challenge question.
This activity provides for small group investigation of the properties of different …
This activity provides for small group investigation of the properties of different liquids leading to the discovery that liquids are different in many ways, including density.Students would be led to a very beginning understanding of density.
In this task students prove that linear functions grow by equal differences …
In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
In this task students observe using graphs and tables that a quantity …
In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
The purpose of this task is to help students see the "why" …
The purpose of this task is to help students see the "why" behind properties of logs that are familiar but often just memorized (and quickly forgotten or misremembered). The task focuses on the verbal definition of the log, helping students to concentrate on understanding that a logarithm is an exponent, as opposed to completing a more computational approach.
This task and its companion, F-BF Exponentials and Logarithms I, is designed …
This task and its companion, F-BF Exponentials and Logarithms I, is designed to help students gain facility with properties of exponential and logarithm functions resulting from the fact that they are inverses.
This activity uses a think-pair-share approach to helping students connect observations about …
This activity uses a think-pair-share approach to helping students connect observations about disparate changes in the market for skilled/unskilled labor to long-run trends in wage inequality.
This is an instructional task meant to generate a conversation around the …
This is an instructional task meant to generate a conversation around the meaning of negative integer exponents. While it may be unfamiliar to some students, it is good for them to learn the convention that negative time is simply any time before t=0.
The goal of this task is to develop an understanding of why …
The goal of this task is to develop an understanding of why rational exponents are defined as they are (N-RN.1), however it also raises important issues about distinguishing between linear and exponential behavior (F-LE.1c) and it requires students to create an equation to model a context (A-CED.2
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The table below shows some input-output pairs of two functions $f$ and $g$ that agree for the values that are given but some of their output values are...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Standard maps of the earth are broken into a grid of latitude lines (east-west) and longitude lines (north-south). Consider the function, $N(\ell)$, th...
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