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: Adding two numbers to make an equation. #### Materials * One pair of dice per student * A recording sheet for the activity. For example: #### Action Th...
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: Materials * Class white board and one marker * Paper and pencil for students * Materials such as counters or linker cubes * Number lines that go from 0...
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: Materials * Double sided counters * Markers that are the same colors as the counters * Teacher-made “My Book of 5” (see below for detailed directions) ...
Students design a cooler and monitor the effectiveness of its ability to …
Students design a cooler and monitor the effectiveness of its ability to keep a bottle of ice water cold in comparison to a bottle of ice water left at room temperature. Students have the opportunity to brainstorm a design of their cooler and its attributes. They then choose from the materials provided to create a prototype. They have the opportunity to test their prototype by measuring the room temperature, the starting temperature of the water and graphing and monitoring the change in temperature over increments time in comparison to the room temperature water.
Students learn how roadways are designed and constructed, and discuss the advantages …
Students learn how roadways are designed and constructed, and discuss the advantages and limitations of the current roadway construction process. They look at current practices of roadway monitoring, discuss the limitations, and consider ways to further road monitoring research. To conclude, student groups compete to design smooth, cost-efficient and sound model road bases using gravel, sand, water and rubber (representing asphalt). This lesson prepares students for the associated activity in which they act as civil engineers hired by USDOT to research through their own model experimentation how to best use piezoelectric materials to detect road damage by showing how piezoelectric transducers can indicate road damage.
In the middle grades, students have lots of experience analyzing and comparing …
In the middle grades, students have lots of experience analyzing and comparing linear functions using graphs, tables, symbolic expressions, and verbal descriptions. In this task, students may choose a representation that suits them and then reason from within that representation.
Up to this point in Grade K, students have worked intensively within …
Up to this point in Grade K, students have worked intensively within 10 and have often counted to 30 using the Rekenrek during fluency practice. This work sets the stage for this module where students clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.
**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**
Module 1 of the Kindergarten curriculum in A Story of Units. In …
Module 1 of the Kindergarten curriculum in A Story of Units. In Topics A and B, classification activities allow students to analyze and observe their world and articulate their observations. Reasoning and dialogue begin immediately. In Topics C, D, E, and F, students order, count, and write up to ten objects to answer how many? questions from linear, to array, to circular, and finally to scattered configurations wherein they must devise a path through the objects as they count. In Topics G and H, students use their understanding of relationships between numbers and know that each successive number name refers to a quantity that is one greater and that the number before is one less.
**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**
The purpose of this task is to give students practice in reading, …
The purpose of this task is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which it arises. The context here is intentionally thin; the point is not to provide a practical application to kitchen floors, but to give a framework that imbues the expressions with an external meaning.
Students use a LEGO® ball shooter to demonstrate and analyze the motion …
Students use a LEGO® ball shooter to demonstrate and analyze the motion of a projectile through use of a line graph. This activity involves using a method of data organization and trend observation with respect to dynamic experimentation with a complex machine. Also, the topic of line data graphing is covered. The main objective is to introduce students graphs in terms of observing and demonstrating their usefulness in scientific and engineering inquiries. During the activity, students point out trends in the data and the overall relationship that can be deduced from plotting data derived from test trials with the ball shooter.
The purpose of this task is to introduce students to exponential growth. …
The purpose of this task is to introduce students to exponential growth. While the context presents a classic example of exponential growth, it approaches it from a non-standard point of view. Instead of giving a starting value and asking for subsequent values, it gives an end value and asks about what happened in the past. The simple first question can generate a surprisingly lively discussion as students often think that the algae will grow linearly.
The learning of linear functions is pervasive in most algebra classrooms. Linear …
The learning of linear functions is pervasive in most algebra classrooms. Linear functions are vital in laying the foundation for understanding the concept of modeling. This unit gives students the opportunity to make use of linear models in order to make predictions based on real-world data, and see how engineers address incredible and important design challenges through the use of linear modeling. Student groups act as engineering teams by conducting experiments to collect data and model the relationship between the wall thickness of the latex tubes and their corresponding strength under pressure (to the point of explosion). Students learn to graph variables with linear relationships and use collected data from their designed experiment to make important decisions regarding the feasibility of hydraulic systems in hybrid vehicles and the necessary tube size to make it viable.
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