Kindergartners measure each other's height using large building blocks, then visit a …
Kindergartners measure each other's height using large building blocks, then visit a 2nd and a 4th grade class to measure those students. They can also measure adults in the school community. Results are displayed in age-appropriate bar graphs (paper cut-outs of miniature building blocks glued on paper to form a bar graph) comparing the different age groups. The activities that comprise this lesson help students develop the concepts and vocabulary to describe, in a non-ambiguous way, how height changes as children get older. The introduction to graphing provides an important foundation for both creating and interpreting graphs in future years.
This foundational digital citizenship lesson challenges kids to pay attention to their …
This foundational digital citizenship lesson challenges kids to pay attention to their feelings while using tech. With an engaging emoji game, students learn practical strategies for managing their feelings -- good, bad, and everything in between.
his is a version of ''How thick is a soda can I'' …
his is a version of ''How thick is a soda can I'' which allows students to work independently and think about how they can determine how thick a soda can is. The teacher should explain clearly that the goal of this task is to come up with an ''indirect'' means of assessing how thick the can is, that is directly measuring its thickness is not allowed.
With this activity, students use a globe to learn how a position …
With this activity, students use a globe to learn how a position on Earth can be described. They investigate how latitude can be found using the stars. Students learn what latitude and longitude are and how to use them to indicate a position on Earth. They investigate how in some locations on Earth, the direction of the midday sun can change over the year.
The typical introductory real analysis text starts with an analysis of the …
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context.
This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
Children have to be at least 13 to sign up for most …
Children have to be at least 13 to sign up for most social media platforms. But we know that many tweens work around this restriction. By doing so they can connect with peers and have fun, but they're also susceptible to a number of risks, from privacy to bullying to challenges to their social-emotional well-being. Reflecting on when kids should be allowed to use social media can help us think through the risks and rewards of using social media, regardless of our age.
Students learn about the underlying engineering principals in the inner workings of …
Students learn about the underlying engineering principals in the inner workings of a simple household object -- the faucet. Students use the basic concepts of simple machines, force and fluid flow to describe the path of water through a simple faucet. Lastly, they translate this knowledge into thinking about how different designs of faucets also use these same concepts.
Students investigate different forms of hybrid engines as well as briefly conclude …
Students investigate different forms of hybrid engines as well as briefly conclude a look at the different forms of potential energy, which concludes the Research and Revise step of the legacy cycle. Students are introduced to basic circuit schematics and apply their understanding of the difference between series and parallel circuits to current research on hybrid cars.
Subject studies how and why machines work, how they are conceived, how …
Subject studies how and why machines work, how they are conceived, how they are developed (drawn), and how they are utilized. Students learn from the hands-on experiences of taking things apart mentally and physically, drawing (sketching, 3D CAD) what they envision and observe, taking occasional field trips, and completing an individual term project (concept, creation, and presentation). Emphasis on understanding the physics and history of machines.
The purpose of this task is to continue a crucial strand of …
The purpose of this task is to continue a crucial strand of algebraic reasoning begun at the middle school level (e.g, 6.EE.5). By asking students to reason about solutions without explicily solving them, we get at the heart of understanding what an equation is and what it means for a number to be a solution to an equation. The equations are intentionally very simple; the point of the task is not to test technique in solving equations, but to encourage students to reason about them.
Defined Learning’s platform provides students with a project based learning approach. Students …
Defined Learning’s platform provides students with a project based learning approach. Students solve real world problems or challenges. While logged into the site, search for a project through courses and units, through a standards approach, or by grade levels and content areas.
In this activity, students read two primary documents from the early 1800s: …
In this activity, students read two primary documents from the early 1800s: a journal entry from the Lewis and Clark expedition and a Lakota Indian "winter count" calendar. Using an analysis worksheet, students identify key ideas and details from the documents, while also examining the craft and structure of each document. They draw upon both the content and form of the documents to make inferences about the respective cultures of Euro-Americans and Native Americans in the early 1800s.
This task can be used as a quick assessment to see if …
This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match.
These problems are meant to be a progression which require more sophisticated …
These problems are meant to be a progression which require more sophisticated understandings of the meaning of fractions as students progress through them.
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