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  • Proportion
1 - Pattern & Inquiry
Conditions of Use:
Remix and Share
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In Part 1 of this unit, students will learn about data collection, graphing skills (both by hand and computer aided [Desmos]), and the fundamental mathematical patterns of the course: horizontal line, proportional, linear, quadratic, and inverse. Students perform several experiments, each targeting a different pattern and build the mathematical models of physical phenomena. During each experiment, students start with an uninformed wild guess, then through inquiry and making sense through group consensus, can make an accurate data informed prediction.

Subject:
Physics
Material Type:
Unit of Study
Provider:
Portland Metro STEM Partnership
Provider Set:
Patterns Physics
Date Added:
08/01/2018
Basic Math (BPCC Open Campus Math 097)
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This course is a review of basic mathematics skills. Here's what's covered:
-fundamental numeral operations of addition, subtraction, multiplication
division of whole numbers, fractions, and decimals
-ratio and proportion
-percent
-systems of measurement
-an introduction to geometry
NOTE: Open Campus courses are non-credit reviews and tutorials and cannot be used to satisfy requirements in any curriculum at BPCC. (Basic Mathematics Course by Bossier Parish Community College is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Based on a work at http://bpcc.edu/opencampus/index.html.)

Subject:
Mathematics
Material Type:
Full Course
Provider:
Bossier Parish Community College
Author:
Michelle Barnickel
Date Added:
10/11/2017
Bianca Gets in Gear
Conditions of Use:
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Bianca visits a bike shop and learns how bicycle gears work in this Cyberchase video segment. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Teachers' Domain
Author:
U.S. Department of Education
WNET
Date Added:
09/09/2008
Build an Approximate Scale Model of an Object
Conditions of Use:
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Students create models of objects of their choice, giving them skills and practice in techniques used by professionals. They make sketches as they build their objects. This activity facilitates a discussion on models and their usefulness.

Subject:
Career and Technical Education
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
02/17/2017
Build an Earthquake City
Conditions of Use:
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Students build miniature model cities using sugar, bouillon and gelatin cubes. The cities are put through simulated earthquakes to see which cube structures withstand the shaking movements the best.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Estimating Planar Areas Using Analogue Methods
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This math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

Subject:
Mathematics
Physics
Material Type:
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014
Exploring Planetary Moons
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This is a collection of mathematics problems relating to the moons of the solar system. Learners will use simple proportional relationships and work with fractions to study the relative sizes of the larger moons in our solar system, and explore how temperatures change from place to place using the Celsius and Kelvin scales.

Subject:
Mathematics
Physics
Material Type:
Assessment
Diagram/Illustration
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014
Grade 7 Module 4: Percent and Proportional Relationships
Conditions of Use:
Remix and Share
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In Module 4, students deepen their understanding of ratios and proportional relationships from Module 1 by solving a variety of percent problems. They convert between fractions, decimals, and percents to further develop a conceptual understanding of percent and use algebraic expressions and equations to solve multi-step percent problems. An initial focus on relating 100% to “the whole” serves as a foundation for students.  Students begin the module by solving problems without using a calculator to develop an understanding of the reasoning underlying the calculations.  Material in early lessons is designed to reinforce students’ understanding by having them use mental math and basic computational skills. To develop a conceptual understanding, students use visual models and equations, building on their earlier work with these.  As the lessons and topics progress and students solve multi-step percent problems algebraically with numbers that are not as compatible, teachers may let students use calculators so that their computational work does not become a distraction.

Subject:
Ratios and Proportions
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
01/02/2014
The Invisible Radar Triangle
Conditions of Use:
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Students learn about radar imaging and its various military and civilian applications that include recognition and detection of human-made targets, and the monitoring of space, deforestation and oil spills. They learn how the concepts of similarity and scaling are used in radar imaging to create three-dimensional models of various targets. Students apply the critical attributes of similar figures to create scale models of a radar imaging scenario using infrared range sensors (to emulate radar functions) and toy airplanes (to emulate targets). They use technology tools to measure angles and distances, and relate the concept of similar figures to real-world applications.

Subject:
Education
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mounir Ben Ghalia
Rocio Denise Nava
Date Added:
10/14/2015
Proportional Scaling
Conditions of Use:
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Learn about the dynamic relationships between a jet engine's heat loss, surface area, and volume in this video adapted from Annenberg Learner's Learning Math: Patterns, Functions, and Algebra.

Subject:
Mathematics
Material Type:
Lesson
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Author:
U.S. Department of Education
WGBH Educational Foundation
Date Added:
06/18/2012
Ratio, Proportion and Percentages
Conditions of Use:
Remix and Share
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From politics to cookery, ratios, proportions and percentages are part of everyday life. This unit is designed to help you become more familiar with how figures can be manipulated, then you can check whether that discount really is as big as they claim!

Subject:
Ratios and Proportions
Material Type:
Activity/Lab
Reading
Syllabus
Provider:
The Open University
Provider Set:
Open University OpenLearn
Date Added:
02/16/2011
Ratio and Proportional Reasoning: Food Labels
Conditions of Use:
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In this lesson designed to enhance literacy skills, students learn how to use fractions to interpret the nutritional information contained on food labels.

Subject:
Life Science
Nutrition
Mathematics
Material Type:
Activity/Lab
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Author:
Walmart Foundation
WGBH Educational Foundation
Date Added:
07/31/2012
Recipes & Ratios - Mobile learning - Remix
Conditions of Use:
No Strings Attached
Rating

Proportional relationships are everywhere. They are used to compare professional athletes and to help shoppers get the “best bang for their buck” at the grocery store. They help us build models and designs and are used in many business applications. This lesson plan introduces proportional relationships, ratios and unit rates at the grade 6/7 (C) level and requires adult learners to identify and compare ratios using the Padlet application.

Subject:
Mathematics
Material Type:
Assessment
Lesson
Author:
Amanda Weber
Date Added:
09/15/2017
Scale Model Project
Conditions of Use:
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Students build scale models of objects of their choice. In class they measure the original object and pick a scale, deciding either to scale it up or scale it down. Then they create the models at home. Students give two presentations along the way, one after their calculations are done, and another after the models are completed. They learn how engineers use scale models in their designs of structures, products and systems. Two student worksheets as well as rubrics for project and presentation expectations and grading are provided.

Subject:
Mathematics
Geometry
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Aaron Lamplugh
Maia Vadeen
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
Date Added:
02/07/2017
Scaling, Go Figure!
Conditions of Use:
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Students learn how different characteristics of shapes—side lengths, perimeter and area—change when the shapes are scaled, either enlarged or reduced. Student pairs conduct a “scaling investigation” to measure and calculate shape dimensions (rectangle, quarter circle, triangle; lengths, perimeters, areas) from a bedroom floorplan provided at three scales. They analyze their data to notice the mathematical relationships that hold true during the scaling process. They see how this can be useful in real-world situations like when engineers design wearable or implantable biosensors. This prepares students for the associated activity in which they use this knowledge to help them reduce or enlarge their drawings as part of the process of designing their own wearables products. Pre/post-activity quizzes, a worksheet and wrap-up concepts handout are provided.

Subject:
Career and Technical Education
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Denise W. Carlson
Evelynne Pyne
Lauchlin Blue
Date Added:
02/07/2017
Sugar Content in Drinks
Conditions of Use:
Remix and Share
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Students will use proportional relationships to investigate the sugar content in popular drinks.

This activity was originally created by Dan Meyer:
http://threeacts.mrmeyer.com/sugarpackets

Subject:
Applied Science
Material Type:
Activity/Lab
Author:
Joy Weikert
Date Added:
01/21/2018