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Common Core State Standards Mathematics

Resources in this collection are aligned with the national Common Core State Standards Mathematics

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Does Contact Area Matter?
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Educational Use
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Using the same method for measuring friction that was used in the previous lesson (Discovering Friction), students design and conduct experiments to determine if the amount of area over which an object contacts a surface it is moving across affects the amount of friction encountered.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Does It Cut It? Understanding Wind Turbine Blade Performance
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Students gain an understanding of the factors that affect wind turbine operation. Following the steps of the engineering design process, engineering teams use simple materials (cardboard and wooden dowels) to build and test their own turbine blade prototypes with the objective of maximizing electrical power output for a hypothetical situation—helping scientists power their electrical devices while doing research on a remote island. Teams explore how blade size, shape, weight and rotation interact to achieve maximal performance, and relate the power generated to energy consumed on a scale that is relevant to them in daily life. A PowerPoint® presentation, worksheet and post-activity test are provided.

Subject:
Career and Technical Education
Mathematics
Measurement and Data
Numbers and Operations
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Alexander Kon
Date Added:
04/12/2023
Does Media Matter? Infiltration Rates and Storage Capacities
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Students gain a basic understanding of the properties of media soil, sand, compost, gravel and how these materials affect the movement of water (infiltration/percolation) into and below the surface of the ground. They learn about permeability, porosity, particle size, surface area, capillary action, storage capacity and field capacity, and how the characteristics of the materials that compose the media layer ultimately affect the recharging of groundwater tables. They test each type of material, determining storage capacity, field capacity and infiltration rates, seeing the effect of media size on infiltration rate and storage. Then teams apply the testing results to the design their own material mixes that best meet the design requirements. To conclude, they talk about how engineers apply what students learned in the activity about the infiltration rates of different soil materials to the design of stormwater management systems.

Subject:
Applied Science
Earth and Space Science
Engineering
Hydrology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Does My Model Valve Stack up to the Real Thing?
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Following the steps of the iterative engineering design process, student teams use what they learned in the previous lessons and activity in this unit to research and choose materials for their model heart valves and test those materials to compare their properties to known properties of real heart valve tissues. Once testing is complete, they choose final materials and design and construct prototype valve models, then test them and evaluate their data. Based on their evaluations, students consider how they might redesign their models for improvement and then change some aspect of their models and retest aiming to design optimal heart valve models as solutions to the unit's overarching design challenge. They conclude by presenting for client review, in both verbal and written portfolio/report formats, summaries and descriptions of their final products with supporting data.

Subject:
Applied Science
Engineering
Health, Medicine and Nursing
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Does Weight Matter?
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Educational Use
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Using the same method for measuring friction that was used in the previous lesson (Discovering Friction), students design and conduct an experiment to determine if weight added incrementally to an object affects the amount of friction encountered when it slides across a flat surface. After graphing the data from their experiments, students can calculate the coefficients of friction between the object and the surface it moved upon, for both static and kinetic friction.

Subject:
Applied Science
Engineering
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/26/2008
Does Your Chewing Gum Lose Its Sweetness?
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In the first part of the activity, each student chews a piece of gum until it loses its sweetness, and then leaves the gum to dry for several days before weighing it to determine the amount of mass lost. This mass corresponds to the amount of sugar in the gum, and can be compared to the amount stated on the package label. In the second part of the activity, students work in groups to design and conduct new experiments based on questions of their own choosing. These questions arise naturally from observations during the first experiment, and from students' own experiences with and knowledge of the many varieties of chewing and bubble gums available.

Subject:
Applied Science
Comprehensive Health and Physical Education
Engineering
Nutrition
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Domains
Unrestricted Use
CC BY
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The purpose of this task to help students think about an expression for a function as built up out of simple operations on the variable, and understand the domain in terms of values for which each operation is invalid (e.g., dividing by zero or taking the square root of a negative number).

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Don't Be a Square
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Educational Use
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After watching video clips from the Harry Potter and the Goblet of Fire movie, students explore the use of Punnett squares to predict genetic trait inheritance. The objective of this lesson is to articulate concepts related to genetics through direct immersive interaction based on the theme, The Science Behind Harry Potter. Students' interest is piqued by the use of popular culture in the classroom.

Subject:
Applied Science
Engineering
Genetics
Life Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Don't Crack Humpty
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Educational Use
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Student groups are provided with a generic car base on which to design a device/enclosure to protect an egg on or in the car as it rolls down a ramp at increasing slopes. During this in-depth physics/science/technology activity, student teams design, build and test their creations to meet the design challenge, and are expected to perform basic mathematical calculations using collected data, including a summative cost to benefit ratio.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Downhill
Unrestricted Use
CC BY
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This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Drawing to Scale: Designing a Garden
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

Subject:
Algebra
Geometry
Mathematics
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/08/2023
Drifting Continents
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Educational Use
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This activity is a teacher-led demonstration of continental drift and includes a math worksheet for students involving the calculation of continental drift over time. Students will understand what continental drift is, why it occurs, and how earthquakes occur because of it.

Subject:
Applied Science
Education
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Earthquake in the Classroom
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Educational Use
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Students learn how engineers construct buildings to withstand damage from earthquakes by building their own structures with toothpicks and marshmallows. Students test how earthquake-proof their buildings are by testing them on an earthquake simulated in a pan of Jell-O(TM).

Subject:
Applied Science
Earth and Space Science
Engineering
Geology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Eating & Exercise
Unrestricted Use
CC BY
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How many calories are in your favorite foods? How much exercise would you have to do to burn off these calories? What is the relationship between calories and weight? Explore these issues by choosing diet and exercise and keeping an eye on your weight.

Subject:
Applied Science
Comprehensive Health and Physical Education
Health, Medicine and Nursing
Nutrition
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Colorado
Provider Set:
PhET Interactive Simulations
Date Added:
03/09/2023
Echolocation in Action!
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Educational Use
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In this activity, students will experience echolocation themselves. They actually try echolocation by wearing blindfolds while another student makes snapping noises in front of, behind, or to the side of them.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015