# Search Results (45)

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• MCCRS.Math.Content.HSA-REI.B.3
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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 following is a student solution to the inequality \frac{5}{18} - \frac{x-2}{9} \leq \frac{x-4}{6}. \begin{align} \frac{5}{18} - \frac{x-2}{9} & \le...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
09/11/2013
Conditions of Use:
Rating

At this point in the unit, students have learned about Pascal's law, Archimedes' principle, Bernoulli's principle, and why above-ground storage tanks are of major concern in the Houston Ship Channel and other coastal areas. In this culminating activity, student groups act as engineering design teams to derive equations to determine the stability of specific above-ground storage tank scenarios with given tank specifications and liquid contents. With their floatation analyses completed and the stability determined, students analyze the tank stability in specific storm conditions. Then, teams are challenged to come up with improved storage tank designs to make them less vulnerable to uplift, displacement and buckling in storm conditions. Teams present their analyses and design ideas in short class presentations.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Emily Sappington
Mila Taylor
09/18/2014
Conditions of Use:
Rating

Bernoulli's principle relates the pressure of a fluid to its elevation and its speed. Bernoulli's equation can be used to approximate these parameters in water, air or any fluid that has very low viscosity. Students learn about the relationships between the components of the Bernoulli equation through real-life engineering examples and practice problems.

Subject:
Engineering
Physics
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
James Prager
Karen King
09/18/2014
Conditions of Use:
Rating

In this activity, students examine how different balls react when colliding with different surfaces. Also, they will have plenty of opportunity to learn how to calculate momentum and understand the principle of conservation of momentum.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Bailey Jones
Ben Sprague
Chris Yakacki
Denise Carlson
Janet Yowell
Malinda Schaefer Zarske
Matt Lundberg
10/14/2015
Conditions of Use:
Rating

Students observe Pascal's law, Archimedes' principle and the ideal gas law as a Cartesian diver moves within a closed system. The Cartesian diver is neutrally buoyant and begins to sink when an external pressure is applied to the closed system. A basic explanation and proof of this process is provided in this activity, and supplementary ideas for more extensive demonstrations and independent group activities are presented.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Emily Sappington
Mila Taylor
09/18/2014
Conditions of Use:
Rating

Students investigate the property dependence between concentrations and boiling point. In section 1, students first investigate the boiling point of various liquid solutions. In section 2, they analyze data collected by the entire class to generate two boiling point curves, one for salt solutions and one for sugar solutions. Finally, in section 3, students use the data they have analyzed to determine how to create a solution that has a particular boiling point and is a cost-effective design.

Subject:
Engineering
Chemistry
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Courtney Herring
09/18/2014
Conditions of Use:
Rating

Students teams design and build shoe prototypes that convert between high heels and athletic shoes. They apply their knowledge about the mechanics of walking and running as well as shoe design (as learned in the associated lesson) to design a multifunctional shoe that is both fashionable and functional.

Subject:
Mathematics
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Eszter Horanyi
02/17/2017
Conditions of Use:
Rating

The students discover the basics of heat transfer in this activity by constructing a constant pressure calorimeter to determine the heat of solution of potassium chloride in water. They first predict the amount of heat consumed by the reaction using analytical techniques. Then they calculate the specific heat of water using tabulated data, and use this information to predict the temperature change. Next, the students will design and build a calorimeter and then determine its specific heat. After determining the predicted heat lost to the device, students will test the heat of solution. The heat given off by the reaction can be calculated from the change in temperature of the water using an equation of heat transfer. They will compare this with the value they predicted with their calculations, and then finish by discussing the error and its sources, and identifying how to improve their design to minimize these errors.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Prager
Janet Yowell
Malinda Zarske
Megan Schroeder
09/18/2014
Rating

This lesson unit is intended to help teachers assess how well students are able to use linear inequalities to create a set of solutions. In particular, the lesson will help teachers identify and assist students who have difficulties in: representing a constraint by shading the correct side of the inequality line; and understanding how combining inequalities affects a solution space.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
04/26/2013
Conditions of Use:
Rating

Students investigate circuits and their components by building a basic thermostat. They learn why key parts are necessary for the circuit to function, and alter the circuit to optimize the thermostat temperature range. They also gain an awareness of how electrical engineers design circuits for the countless electronic products in our world.

Subject:
Engineering
Electronic Technology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Lauren Cooper
Malinda Schaefer Zarske
Tyler Maline
10/14/2015
Conditions of Use:
Rating

Students are presented with a hypothetical scenario that delivers the unit's Grand Challenge Question: To apply an understanding of nanoparticles to treat, detect and protect against skin cancer. Towards finding a solution, they begin the research phase by investigating the first research question: What is electromagnetic energy? Students learn about the electromagnetic spectrum, ultraviolet radiation (including UVA, UVB and UVC rays), photon energy, the relationship between wave frequency and energy (c = Î»Î½), as well as about the Earth's ozone-layer protection and that nanoparticles are being used for medical applications. The lecture material also includes information on photo energy and the dual particle/wave model of light. Students complete a problem set to calculate frequency and energy.

Subject:
Engineering
Health, Medicine and Nursing
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Amber Spolarich
Michelle Bell
10/14/2015
Conditions of Use:
Rating

We all know that it takes energy to provide us with the basics of shelter: heating, cooling, lighting, electricity, sanitation and cooking. To create energy-efficient housing that is practical for people to use every day requires combining many smaller systems that each perform a function well, and making smart decisions about the sources of power we use. Through five lessons on the topics of heat transfer, circuits, daylighting, electricity from renewable energy sources, and passive solar design, students learn about the science, math and engineering that go into designing energy-efficient components of smart housing that is environmentally friendly. Through numerous design/build/analyze activities, students create a solar water heater, swamp cooler, thermostat, model houses for testing, model greenhouse, and wind and water turbine prototypes. It is best if students are concurrently taking Algebra 1 in order to complete some of the worksheets.

Subject:
Architecture and Design
Engineering
Material Type:
Full Course
Provider:
TeachEngineering
Provider Set:
TeachEngineering
10/14/2015
Conditions of Use:
Rating

This activity utilizes hands on learning with the conservation of energy with the inclusion of elastic potential energy. Students use pogo sticks to experience the elastic potential energy and its conversion to gravitational potential energy.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Joel Daniel
09/18/2014
Conditions of Use:
Rating

This activity utilizes hands-on learning with the conservation of energy and the interaction of friction. Students use a roller coaster track and collect position data. The students then calculate velocity, and energy data. After the lab, students relate the conversion of potential and kinetic energy to the conversion of energy used in a hybrid car.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Joel Daniel
09/18/2014
Conditions of Use:
No Strings Attached
Rating

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Discover the rules for keeping it balanced. Collect stars by playing the game!

Subject:
Mathematics
Material Type:
Simulation
Provider:
Provider Set:
PhET Interactive Simulations
Author:
David Wood
Marleene Buttice
Meenakshi Raghavan
03/06/2019
Conditions of Use:
Rating

To become familiar with the transfer of energy in the form of quantum, students perform flame tests, which is one way chemical engineers identify elements by observing the color emitted when placed in a flame. After calculating and then preparing specific molarity solutions of strontium chloride, copper II chloride and potassium chloride (good practice!), students observe the distinct colors each solution produces when placed in a flame, determine the visible light wavelength, and apply that data to identify the metal in a mystery solution. They also calculate the frequency of energy for the solutions.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Amber Spolarich
Michelle Bell
10/14/2015
Conditions of Use:
Rating

During this engineering design/build project, students investigate many different solutions to a problem. Their design challenge is to find a way to get school t-shirts up into the stands during home sporting events. They follow the steps of the engineering design process to design and build a usable model, all while keeping costs under budget.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Brandi Jackson
Denise W. Carlson
Jonathan MacNeil
Scott Duckworth
Stephanie Rivale
09/18/2014
Conditions of Use:
Rating

Students learn the fundamental concepts of heat transfer and heat of reaction. This includes concepts such as physical chemistry, an equation for heat transfer, and a basic understanding of energy and heat transfer.

Subject:
Engineering
Physics
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Prager
Janet Yowell
Malinda Zarske
Megan Schroeder
09/18/2014
Conditions of Use:
Rating

Through four lessons and four hands-on associated activities, this unit provides a way to teach the overarching concept of energy as it relates to both kinetic and potential energy. Within these topics, students are exposed to gravitational potential, spring potential, the Carnot engine, temperature scales and simple magnets. During the module, students apply these scientific concepts to solve the following engineering challenge: "The rising price of gasoline has many effects on the US economy and the environment. You have been contracted by an engineering firm to help design a physical energy storage system for a new hybrid vehicle for Nissan. How would you go about solving this problem? What information would you consider to be important to know? You will create a small prototype of your design idea and make a sales pitch to Nissan at the end of the unit." This module is built around the Legacy Cycle, a format that incorporates findings from educational research on how people best learn. This module is written for a first-year algebra-based physics class, though it could easily be modified for conceptual physics.

Subject:
Engineering
Physics
Material Type:
Full Course
Unit of Study
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Joel Daniel
09/18/2014
Conditions of Use:
Rating

Students explore the basics of DC circuits, analyzing the light from light bulbs when connected in series and parallel circuits. Ohm's law and the equation for power dissipated by a circuit are the two primary equations used to explore circuits connected in series and parallel. Students measure and see the effect of power dissipation from the light bulbs. Kirchhoff's voltage law is used to show how two resistor elements add in series, while Kirchhoff's current law is used to explain how two resistor elements add when in parallel. Students also learn how electrical engineers apply this knowledge to solve problems. Power dissipation is particularly important with the introduction of LED bulbs and claims of energy efficiency, and understanding how power dissipation is calculated helps when evaluating these types of claims. This activity is designed to introduce students to the concepts needed to understand how circuits can be reduced algebraically.

Subject:
Engineering
Electronic Technology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Erik Wemlinger
09/18/2014
Conditions of Use:
Remix and Share
Rating

Accounting is the process of identifying, measuring, recording, and communicating an organization’s economic activities to users. Users need information for decision making. With an emphasis on the corporate form of business organization, this lesson will examine how financial transactions are analyzed and then reported using four financial statements: the income statement, statement of changes in equity, balance sheet, and statement of cash flows. This lesson introduces each statement using an example based on a fictitious corporate organization called Big Dog Carworks Corp.

Subject:
Career and Technical Education
Mathematics
Material Type:
Activity/Lab
Assessment
Author:
Jeffrey Alger
04/18/2016
Remix
Conditions of Use:
Remix and Share
Rating

Accounting is the process of identifying, measuring, recording, and communicating an organization’s economic activities to users. Users need information for decision making. With an emphasis on the corporate form of business organization, this lesson will examine how financial transactions are analyzed and then reported using four financial statements: the income statement, statement of changes in equity, balance sheet, and statement of cash flows. This lesson introduces each statement using an example based on a fictitious corporate organization called Big Dog Carworks Corp.

Subject:
Career and Technical Education
Mathematics
Material Type:
Activity/Lab
Assessment
Author:
Sharmishta Koushik
08/08/2019
Conditions of Use:
Rating

Students act as engineers to apply what they know about how circuits work in electrical/motorized devices to design their own battery-operated model motor vehicles with specific paramaters. They calculate the work done by the vehicles and the power produced by their motor systems.

Subject:
Engineering
Electronic Technology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Christiana Chang
Duane Turner
Eduardo Guevera
Gangbing Song
Mark Bulger
09/18/2014
Conditions of Use:
Rating

Students watch video clips from the October Sky and Harry Potter and the Sorcerer's Stone movies to see examples of projectile motion. Then they explore the relationships between displacement, velocity and acceleration, and calculate simple projectile motion. The objective of this activity is to articulate concepts related to force and motion through direct immersive interaction based on "The Science Behind Harry Potter" theme. Students' interest is piqued by the use of popular culture in the classroom.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Christine Hawthorne
Rachel Howser
09/18/2014
Conditions of Use:
Rating

Students explore electromagnetism and engineering concepts using optimization techniques to design an efficient magnetic launcher. Groups start by algebraically solving the equations of motion for the velocity at the time when a projectile leaves a launcher. Then they test three different launchers, in which the number of coils used is different, measuring the range and comparing the three designs. Based on these observations, students record similarities and differences and hypothesize on the underling physics. They are introduced to Faraday's law and Lenz's law to explain the physics behind the launcher. Students brainstorm how these principals might be applied to real-world engineering problems.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Erik Wemlinger
09/18/2014
Conditions of Use:
Rating

Students determine the refractive index of a liquid with a simple technique using a semi-circular hollow block. Then they predict the refractive index of a material (a Pyrex glass tube) by matching it with the known refractive index of a liquid using the percent light transmission measurement. The homemade light intensity detector uses an LED and multimeter, which are relatively inexpensive (and readily available) compared to commercially available measurement instruments.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Marjorie Hernandez
09/18/2014
Conditions of Use:
Rating

Students observe capillary action in glass tubes of varying sizes. Then they use the capillary action to calculate the surface tension in each tube. They find the average surface tensions and calculate the statistical errors.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chuan-Hua Chen
09/18/2014
Conditions of Use:
Rating

Students learn about the advantages and disadvantages of the greenhouse effect. They construct their own miniature greenhouses and explore how their designs take advantage of heat transfer processes to create controlled environments. They record and graph measurements, comparing the greenhouse indoor and outdoor temperatures over time. Students are also introduced to global issues such as greenhouse gas emissions and their relationship to global warming.

Subject:
Engineering
Atmospheric Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Landon B. Gennetten
Lauren Cooper
Malinda Schaefer Zarske
10/14/2015
Conditions of Use:
Rating

Students apply the knowledge gained from the previous lessons and activities in this unit to write draft grant proposals to the U.S. National Institutes of Health outlining their ideas for proposed research using nanoparticles to protect against, detect or treat skin cancer. Through this exercise, students demonstrate their understanding of the environmental factors that contribute to skin cancer, the science and mathematics of UV radiation, the anatomy of human skin, current medical technology applications of nanotechnology and the societal importance of funding research in this area, as well as their communication skills in presenting plans for specific nanoscale research they would conduct using nanoparticles.

Subject:
Engineering
Health, Medicine and Nursing
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Amber Spolarich
Michelle Bell
10/14/2015
Rating

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; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the optimum case, checking it for confirmation; and communicate their reasoning clearly.

Subject:
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
04/26/2013
Conditions of Use:
Rating

From drinking fountains at playgrounds, water systems in homes, and working bathrooms at schools to hydraulic bridges and levee systems, fluid mechanics are an essential part of daily life. Fluid mechanics, the study of how forces are applied to fluids, is outlined in this unit as a sequence of two lessons and three corresponding activities. The first lesson provides a basic introduction to Pascal's law, Archimedes' principle and Bernoulli's principle and presents fundamental definitions, equations and problems to solve with students, as well as engineering applications. The second lesson provides a basic introduction to above-ground storage tanks, their pervasive use in the Houston Ship Channel, and different types of storage tank failure in major storms and hurricanes. The unit concludes with students applying what they have learned to determine the stability of individual above-ground storage tanks given specific storm conditions so they can analyze their stability in changing storm conditions, followed by a project to design their own storage tanks to address the issues of uplift, displacement and buckling in storm conditions.

Subject:
Engineering
Hydrology
Material Type:
Full Course
Unit of Study
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Emily Sappington
Mila Taylor
09/18/2014
Conditions of Use:
Rating

Students learn how engineers design devices that use water to generate electricity by building model water turbines and measuring the resulting current produced in a motor. Student teams work through the engineering design process to build the turbines, analyze the performance of their turbines and make calculations to determine the most suitable locations to build dams.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Lauren Cooper
Malinda Schaefer Zarske
Tyler Maline
10/14/2015
Conditions of Use:
Rating

Students learn how engineers harness the energy of the wind to produce power by following the engineering design process as they prototype two types of wind turbines and test to see which works best. Students also learn how engineers decide where to place wind turbines, and the advantages and disadvantages to using wind power compared to other non-renewable energy sources.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Lauren Cooper
Malinda Schaefer Zarske
Tyler Maline
10/14/2015
Conditions of Use:
Rating

Pumps are used to get drinking water to our houses every day! And in disaster situations, pumps are essential to keep flood water out. In this hands-on activity, student groups design, build, test and improve devices to pump water as if they were engineers helping a rural village meet their drinking water supply. Students keep track of their materials costs, and calculate power and cost efficiencies of the prototype pumps. They also learn about different types of pumps, how they work and useful applications.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Malinda Schaefer Zarske
Michael A. Soltys
09/18/2014
Conditions of Use:
Remix and Share
Rating

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
Author:
Patricia Helmuth
05/24/2018
Conditions of Use:
Rating

In this hands-on activity rolling a ball down an incline and having it collide into a cup the concepts of mechanical energy, work and power, momentum, and friction are all demonstrated. During the activity, students take measurements and use equations that describe these energy of motion concepts to calculate unknown variables and review the relationships between these concepts.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ben Sprague
Chris Yakacki
Denise W. Carlson
Janet Yowell
Malinda Schaefer Zarske
10/14/2015
Conditions of Use:
Rating

Students use their understanding of projectile physics and fluid dynamics to find the water pressure in water guns. By measuring the range of the water jets, they are able to calculate the theoretical pressure. Students create graphs to analyze how the predicted pressure relates to the number of times they pump the water gun before shooting.

Subject:
Engineering
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
James Prager
Karen King
09/18/2014
Conditions of Use:
Rating

Represent inequalities on a number line.
Represent inequalities using interval notation.
Use the addition and multiplication properties to solve algebraic inequalities and express their solutions graphically and with interval notation.
Solve inequalities that contain absolute values.
Combine properties of inequalities to isolate variables, solve algebraic inequalities, and express their solutions graphically.
Simplify and solve algebraic inequalities using the distributive property to clear parentheses and fractions.

Subject:
Mathematics
Algebra
Material Type:
Lesson Plan
Teaching/Learning Strategy
Provider:
Lumen Learning
12/14/2017
Remix
Conditions of Use:
Remix and Share
Rating

This activity allows students to practice solving one and two step equations by using an interactive tool teaching zero pairs to eliminate constant values and division and mulitplication properties to eliminate coefficient values.

Subject:
Educational Technology
Mathematics
Algebra
Material Type:
Lesson Plan
Author:
Shawn Dykstra
12/07/2017
Rating

This lesson unit is intended to help teachers assess how well students are able to solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)