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• MCCRS.Math.Content.6.RP.A.3d - Use ratio reasoning to convert measurement units; manipulate and trans...
• MCCRS.Math.Content.6.RP.A.3d - Use ratio reasoning to convert measurement units; manipulate and trans...
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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 aspects of the task and its potential use.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/06/2015
Unrestricted Use
CC BY
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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 aspects of the task and its potential use.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/06/2015
Educational Use
Rating
0.0 stars

Through this earth science curricular unit, student teams are presented with the scenario that an asteroid will impact the Earth. In response, their challenge is to design the location and size of underground caverns to shelter the people from an uninhabitable Earth for one year. Driven by this adventure scenario, student teams 1) explore general and geological maps of their fictional state called Alabraska, 2) determine the area of their classroom to help determine the necessary cavern size, 3) learn about map scales, 4) test rocks, 5) identify important and not-so-important rock properties for underground caverns, and 6) choose a final location and size.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Full Course
Unit of Study
Provider:
TeachEngineering
Provider Set:
TeachEngineering
09/18/2014
Rating
0.0 stars

Construct and measure the energy efficiency and solar heat gain of a cardboard model house. Use a light bulb heater to imitate a real furnace and a temperature sensor to monitor and regulate the internal temperature of the house. Use a bright bulb in a gooseneck lamp to model sunlight at different times of the year, and test the effectiveness of windows for passive solar heating.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Lecture Notes
Student Guide
Provider:
Concord Consortium
Provider Set:
Concord Consortium Collection
Author:
The Concord Consortium
05/16/2012
Educational Use
Rating
0.0 stars

Students build their own small-scale model roller coasters using pipe insulation and marbles, and then analyze them using physics principles learned in the associated lesson. They examine conversions between kinetic and potential energy and frictional effects to design roller coasters that are completely driven by gravity. A class competition using different marbles types to represent different passenger loads determines the most innovative and successful roller coasters.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Scott Liddle
10/14/2015
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and agriculture sciences 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:
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
07/26/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This task was developed by high school and postsecondary mathematics and health sciences 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:
Algebra
Applied Science
Health, Medicine and Nursing
Mathematics
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
07/27/2012
Educational Use
Rating
0.0 stars

Students learn about the many types of expenses associated with building a bridge. Working like engineers, they estimate the cost for materials for a bridge member of varying sizes. After making calculations, they graph their results to compare how costs change depending on the use of different materials (steel vs. concrete). They conclude by creating a proposal for a city bridge design based on their findings.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denali Lander
Denise W. Carlson
Joe Friedrichsen
Jonathan S. Goode
Malinda Schaefer Zarske
Natalie Mach
10/14/2015
Educational Use
Rating
0.0 stars

Demos and activities in this lesson are intended to illustrate the basic concepts of energy science -- work, force, energy, power etc. and the relationships among them. The "lecture" portion of the lesson includes many demonstrations to keep students engaged, yet has high expectations for the students to perform energy related calculations and convert units as required. A homework assignment and quiz are used to reinforce and assess these basic engineering science concepts.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jan DeWaters
Susan Powers
09/18/2014
Educational Use
Rating
0.0 stars

In an active way, students discover a few critical facts about how we use energy and how much energy we use. Each student has a "clue," some of which are pertinent energy facts and others are silly statements that are clearly unrelated to the topic. Students mingle and ask each other for clues until they have collected all the facts they need. This provides a more interactive way to communicate energy statistics, compared to a lecture and introduction with board work. The goal is to introduce students to some key terms and issues associated with energy as a necessary prerequisite for the remainder of the unit.

Subject:
Applied Science
Engineering
Environmental Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jan DeWaters
Susan Powers
09/18/2014
Educational Use
Rating
0.0 stars

Students are introduced to the five fundamental loads: compression, tension, shear, bending and torsion. They learn about the different kinds of stress each force exerts on objects.

Subject:
Physical Science
Material Type:
Lesson
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Douglas Prime
02/17/2017
Educational Use
Rating
0.0 stars

Students construct a model roadway with congestion and apply their knowledge of level of service (LOS) to assign a grade to the road conditions. The roadway is simply a track outlined with cones or ropes with a few students walking around it to mimic congestion. The remaining students employ both techniques of density and flow to classify the LOS of the track.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Dayna Lee Martinez
Tapas K. Das
09/18/2014
Educational Use
Rating
0.0 stars

Students complete three different activities to evaluate the energy consumption in a household and explore potential ways to reduce that consumption. The focus is on conservation and energy efficient electrical devices and appliances. The lesson reinforces the relationship between power and energy and associated measurements and calculations required to evaluate energy consumption. The lesson provides the students with more concrete information for completing their culminating unit assignment.

Subject:
Applied Science
Engineering
Environmental Science
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jan DeWaters
Susan Powers
09/18/2014
Educational Use
Rating
0.0 stars

Students keep track of their own water usage for one week, gaining an understanding of how much water is used for various everyday activities. They relate their own water usages to the average residents of imaginary Thirsty County, and calculate the necessary water capacity of a dam that would provide residential water to the community.

Subject:
Applied Science
Engineering
Hydrology
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denali Lander
Denise W. Carlson
Kristin Field
Megan Podlogar
Sara Born
Tom Rutkowski
09/18/2014
Educational Use
Rating
0.0 stars

Students use scaling from real-world data to obtain an idea of the immense size of Mars in relation to the Earth and the Moon, as well as the distances between them. Students calculate dimensions of the scaled versions of the planets, and then use balloons to represent their relative sizes and locations.

Subject:
Applied Science
Astronomy
Engineering
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chris Yakacki
Daria Kotys-Schwartz
Geoffrey Hill
Janet Yowell
Malinda Schaefer Zarske
09/18/2014
Educational Use
Rating
0.0 stars

Students learn the basic properties of light the concepts of light absorption, transmission, reflection and refraction, as well as the behavior of light during interference. Lecture information briefly addresses the electromagnetic spectrum and then provides more in-depth information on visible light. With this knowledge, students better understand lasers and are better prepared to design a security system for the mummified troll.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Meghan Murphy
09/18/2014
Educational Use
Rating
0.0 stars

As part of a design challenge, students learn how to use a rotation sensor (located inside the casing of a LEGO® MINDSTORMS ® NXT motor) to measure how far a robot moves with each rotation. Through experimentation and measurement with the sensor, student pairs determine the relationship between the number of rotations of the robot's wheels and the distance traveled by the robot. Then they use this ratio to program LEGO robots to move precise distances in a contest of accuracy. The robot that gets closest to the goal without touching the toy figures at the finish line is the winning programming design. Students learn how rotational sensors measure distance, how mathematics can be used for real-world purposes, and about potential sources of error due to gearing when using rotation sensor readings for distance calculations. They also become familiar with the engineering design process as they engage in its steps, from understanding the problem to multiple test/improve iterations to successful design.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Nishant Sinha
Pranit Samarth
Satish S. Nair
09/18/2014
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars
Rating
0.0 stars
Subject:
Mathematics
Material Type:
Full Course
Provider:
Pearson
10/06/2016
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Putting Math to Work

Type of Unit: Problem Solving

Prior Knowledge

Students should be able to:

Solve problems with rational numbers using all four operations.
Write ratios and rates.
Use a rate table to solve problems.
Write and solve proportions.
Use multiple representations (e.g., tables, graphs, and equations) to display data.
Identify the variables in a problem situation (i.e., dependent and independent variables).
Write formulas to show the relationship between two variables, and use these formulas to solve for a problem situation.
Draw and interpret graphs that show the relationship between two variables.
Describe graphs that show proportional relationships, and use these graphs to make predictions.
Interpret word problems, and organize information.
Graph in all quadrants of the coordinate plane.

Lesson Flow

As a class, students use problem-solving steps to work through a problem about lightning. In the next lesson, they use the same problem-solving steps to solve a similar problem about lightning. The lightning problems use both rational numbers and rates. Students then choose a topic for a math project. Next, they solve two problems about gummy bears using the problem-solving steps. They then have 3 days of Gallery problems to test their problem-solving skills solo or with a partner. Encourage students to work on at least one problem individually so they can better prepare for a testing situation. The unit ends with project presentations and a short unit test.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Pearson