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• MCCRS.Math.Content.HSN-Q.A.3 - Choose a level of accuracy appropriate to limitations on measurement w...
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This task examines, from a mathematical and statistical point of view, how scientists measure the age of organic materials by measuring the ratio of Carbon 14 to Carbon 12. The focus here is on the statistical nature of such dating. This task addresses a very important issue about precision in reporting and understanding statements in a realistic scientific context.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
09/13/2012
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CC BY
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This task is a refinement of ``Carbon 14 dating'' which focuses on accuracy. Because radioactive decay is an atomic process modeled by the laws of quantum mechanics, it is not possible to know with certainty when half of a given quantity of Carbon 14 atoms will decay. This type of question is very important in science and it also provides an opportunity to study the very subtle question of how errors behave when applying a function: in some cases the errors can be magnified while in others they are lessened.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
09/13/2012
Educational Use
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Students create and analyze composite materials with the intent of using the materials to construct a structure with optimal strength and minimal density. The composite materials are made of puffed rice cereal, marshmallows and chocolate chips. Student teams vary the concentrations of the three components to create their composite materials. They determine the material density and test its compressive strength by placing weights on it and measuring how much the material compresses. Students graph stress vs. strain and determine Young's modulus to analyze the strength of their materials.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Charisse Nelson
Sarah Wigodsky
10/14/2015
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CC BY
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This task operates at two levels. In part it is a simple exploration of the relationship between speed, distance, and time. Part (c) requires understanding of the idea of average speed, and gives an opportunity to address the common confusion between average speed and the average of the speeds for the two segments of the trip. At a higher level, the task addresses N-Q.3, since realistically neither the car nor the bus is going to travel at exactly the same speed from beginning to end of each segment; there is time traveling through traffic in cities, and even on the autobahn the speed is not constant. Thus students must make judgements about the level of accuracy with which to report the result.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Applied Science
Architecture and Design
Geometry
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
03/01/2012
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CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Applied Science
Architecture and Design
Geometry
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
03/05/2012
Unrestricted Use
CC BY
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This problem involves the meaning of numbers found on labels. When the level of accuracy is not given we need to make assumptions based on how the information is reported. The goal of the task is to stimulate a conversation about rounding and about how to record numbers with an appropriate level of accuracy, tying in directly to the standard N-Q.3. It is therefore better suited for instruction than for assessment purposes.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
01/05/2013
Unrestricted Use
CC BY
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The purpose of this task is to illustrate through an absurd example the fact that in real life quantities are reported to a certain level of accuracy, and it does not make sense to treat them as having greater accuracy.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
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CC BY
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This task provides students the opportunity to make use of units to find the gas need (N-Q.1). The key point is for them to explain their choices. This task provides an opportunity for students to practice MP2, Reason abstractly and quantitatively, and MP3, Construct viable arguments and critique the reasoning of others.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Educational Use
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Students' eyes are opened to the value of creative, expressive and succinct visual presentation of data, findings and concepts. Student pairs design, redesign and perform simple experiments to test the differences in thermal conductivity (heat flow) through different media (foil and thin steel). Then students create visual diagrams of their findings that can be understood by anyone with little background on the subject, applying their newly learned art vocabulary and concepts to clearly communicate their results. The principles of visual design include contrast, alignment, repetition and proximity; the elements of visual design include an awareness of the use of lines, color, texture, shape, size, value and space. If students already have data available from other experiments, have them jump right into the diagram creation and critique portions of the activity.

Subject:
Applied Science
Communication
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Andrew Carnes
Baratunde Cola
Jamila Cola
Satish Kumar
10/14/2015
Only Sharing Permitted
CC BY-NC-ND
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There are billions of galaxies filled with billions of stars. Each star has the potential to have planets orbiting it. Does life exist on some of those planets? Explore the question, “Is there life in space?” Discover how scientists find planets and other astronomical bodies through the wobble (also known as Doppler spectroscopy or radial-velocity) and transit methods. Compare zones of habitability around different star types, discovering the zone of liquid water possibility around each star type. Explore how scientists use spectroscopy to learn about atmospheres on distant planets. You will not be able to answer the module's framing question at the end of the module, but you will be able to explain how scientists find distant planets and moons and how they determine whether those astronomical bodies could be habitable.

Subject:
Applied Science
Geology
Physical Science
Space Science
Technology
Material Type:
Lesson
Provider:
Concord Consortium
Provider Set:
Concord Consortium
Author:
Concord Consortium
12/12/2011
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the constraints and variables mathematically; select appropriate mathematical methods to use; make sensible estimates and assumptions; investigate an exponentially increasing sequence; and communicate their reasoning clearly.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Unrestricted Use
CC BY
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The intent of clarifying statements is to provide additional guidance for educators to communicate the intent of the standard to support the future development of curricular resources and assessments aligned to the 2021 math standards.  Clarifying statements can be in the form of succinct sentences or paragraphs that attend to one of four types of clarifications: (1) Student Experiences; (2) Examples; (3) Boundaries; and (4) Connection to Math Practices.

Subject:
Mathematics
Material Type:
Teaching/Learning Strategy
Author:
Mark Freed
07/11/2023
Conditional Remix & Share Permitted
CC BY-NC-SA
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Adult education classrooms are commonly comprised of learners who have widely disparate levels of mathematical problem-solving skills. This is true regardless of what level a student may be assessed at when entering an adult education program or what level class they are placed in. Providing students with differentiated instruction in the form of Push and Support cards is one way to level this imbalance, keeping all students engaged in one high-cognitive task that supports and encourages learners who are stuck, while at the same time, providing extensions for students who move through the initial phase of the task quickly. Thus, all
students are continually moving forward during the activity, and when the task ends, all students have made progress in their journey towards developing conceptual understanding of mathematical ideas along with a productive disposition, belief in one’s own ability to successfully engage with mathematics.

Subject:
Mathematics
Material Type:
Lesson Plan
Module
Teaching/Learning Strategy
05/23/2018
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CC BY
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This task, while involving relatively simple arithmetic, codes to all three standards in this cluster, and also offers students a good opportunity to practice modeling (MP4), since they must attempt to make reasonable assumptions about the average length of vehicles in the traffic jam and the space between vehicles. Teachers can encourage students to compare their solutions with other students.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Educational Use
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Students learn the value of writing and art in science and engineering. They acquire vocabulary that is appropriate for explaining visual art and learn about visual design principles (contrast, alignment, repetition and proximity) and elements (lines, color, texture, shape, size, value and space) that are helpful when making visual aids. A PowerPoint(TM) presentation heightens students' awareness of the connection between art and engineering in order to improve the presentation of results, findings, concepts, information and prototype designs. Students also learn about the science and engineering research funding process that relies on effective proposal presentations, as well as some thermal conductivity / heat flow basics including the real-world example of a heat sink which prepares them for the associated activity in which they focus on creating diagrams to communicate their own collected experimental data.

Subject:
Applied Science
Engineering
English Language Arts
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Andrew Carnes
Baratunde Cola
Jamila Cola
Satish Kumar
10/14/2015
Unrestricted Use
CC BY
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The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics