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Students begin to formalize their understanding of probability. They are introduced to the concept of probability as a measure of likelihood and how to calculate probability as a ratio. The terms discussed (impossible, certain, etc.) in Lesson 1 are given numerical values.Key ConceptsStudents will think of probability as a ratio; it can be written as a fraction, decimal, or a percent ranging from 0 to 1.Students will think about ratio and proportion to predict results.Goals and Learning ObjectivesDefine probability as a measure of likelihood and the ratio of favorable outcomes to the total number of outcomes for an event.Predict results based on theoretical probability using ratio and proportion.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
09/21/2015
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CC BY-NC-SA
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The goal of this task is twofold. For part (a) since we are not given how large each of the groups in the table are, the best we can do is to apply reasoning about ratios (in the form of percents) to give a range of possible answers. For part (b), the goal is to recognize a misuse of statistical reasoning.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
05/03/2023
Some Rights Reserved
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Two besotted rulers must embrace proportional units in order to unite their lands. It takes mathematical reasoning to identify the problem, and solution, when engineers from Queentopia and Kingopolis build a bridge to meet in the middle of the river.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
07/15/2015
Only Sharing Permitted
CC BY-NC-ND
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A task involving Ratios and Rates

Subject:
Mathematics
Material Type:
Activity/Lab
09/29/2015
Only Sharing Permitted
CC BY-NC-ND
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Andrea Kowalchik has her students move around the room in pairs while solving proportion problems that are tacked to the walls. This lesson is easy to prepare, fun for students, and gets them working quickly while being active all at the same time.

Subject:
Education
Mathematics
Ratios and Proportions
Material Type:
Lesson Plan
Teaching/Learning Strategy
Provider:
Teaching Channel
Provider Set:
Teaching Channel
Author:
Andrea Kowalchik
11/02/2012
Some Rights Reserved
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The battle is on in this game where you build your own potions! Check your ratios to win this mixture mix-off. Ratio Rumble guides students in: identifying ratios when used in a variety of contextual situations; providing visual representations of ratios; solving common problems or communicating by using rate, particularly unit rates; and explaining why ratios and rates naturally relate to fractions and decimals.

Subject:
Mathematics
Material Type:
Game
Interactive
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
07/20/2015
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Students often think additively rather than multiplicatively. For example, if you present the scenario, "One puppy grew from 5 pounds to 10 pound. Another puppy grew from 100 pounds to 108 pounds." and ask, "Which puppy grew more?" someone who is thinking additively will say that the one who now weighs 108 grew more because he gained 8 pounds while the other gained 5 pounds. Someone who is thinking multiplicatively will say that the one that now weighs 10 pounds grew more because he doubled his weight while the other only added a few pounds. While both are correct answers, multiplicative thinking is needed for proportional reasoning. If your students are thinking additively, you can nudge them toward multiplicative thinking with this activity.

Subject:
Mathematics
Material Type:
Activity/Lab
Interactive
Lesson Plan
10/08/2017
Unrestricted Use
CC BY
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Play with the left and right hands in different ways, and explore ratio and proportion. Start on the Discover screen to find each challenge ratio by moving the hands. Then, on the Create screen, set your own challenge ratios. Once you've found a challenge ratio, try to move both hands while maintaining the challenge ratio through proportional reasoning.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson
Lesson Plan
Provider:
Provider Set:
PhET Interactive Simulations
04/19/2021
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Ratios and Proportional Relationshipsratios&nbsp;

Subject:
Mathematics
Material Type:
Lesson Plan
Author:
sameano porchea
06/13/2017
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CC BY
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This activitiy will look at different ways to write ratios and how we see and use ratios in real life.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Valerie Rosenthal
03/23/2020
Unrestricted Use
CC BY
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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
03/26/2020
Unrestricted Use
CC BY
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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
09/15/2017
Conditional Remix & Share Permitted
CC BY-NC
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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 apply ratios in the context of cooking. The bonus challenge: the learner completes Worksheet 2 and modifies a larger quantity ofthe ingredients.

Subject:
English Language Arts
Mathematics
Material Type:
Homework/Assignment
Lesson
04/26/2017
Unrestricted Use
CC BY
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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 apply ratios in the context of cooking. Learners will need learn to research basic information and be challenged to present their “final recipe” creatively.

Subject:
English Language Arts
Mathematics
Material Type:
Lesson
11/15/2016
Conditional Remix & Share Permitted
CC BY-SA
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Size, Scales, and Specialization was developed as part of an effort by the Quantitative Biology at Community Colleges group to provide materials that incorporate mathematical concepts into biology courses. The activity uses published estimates of cell type numbers in the human body along with size, density and weight as a lens to have students calculate ratios, explore exponents, and better understand how the various cell types contribute to an average human's total weight and size. The activity is applicable for majors and non-majors biology courses, and maps to Chapter 4 of the OpenStax Biology 2e textbook. This activity could also be used in a mathematics course as a biologically relevant example.

The activity contains a pre-assessment to gauge student understanding of the material and provides an opportunity for students to predict the number of various cell types, as well as the mass of various cell types, in the human body. This prediction activity is followed with a guided approach to calculating these values. After guiding the students in this activity, students will then have a chance to practice the activity on a new set of cell data provided.

After completing this module students should be able to:

- Compare and contrast the structure and function of different cell types.
-- List the largest and the smallest cells in the body based on number.
-- List the largest and the smallest cells in the body based on mass.
- Describe the advantages of specialization in eukaryotic cells.
-- Give examples of how specialization in cell types affects cell size (volume) and shape.
- Perform measurements and conversions using the metric system.
-- Measure the scale of cell size variation in the human body
-- Calculate the relative proportions of cell types in the human body by mass and frequency

Subject:
Algebra
Biology
Life Science
Mathematics
Material Type:
Activity/Lab
Data Set
Homework/Assignment
Author:
Heather Seitz
Jillian Marie Miller
Joseph Esquibel
04/23/2021
Conditional Remix & Share Permitted
CC BY-SA
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Why are Cells Small? was developed as part of an effort by the Quantitative Biology at Community Colleges group to provide materials that incorporate mathematical concepts into biology courses. The activity was designed for a non-majors biology course, and maps to Chapter 4 of the OpenStax Biology 2e textbook. This activity could also be used in a mathematics course as a biologically relevant example.

After completing this module students should be able to:

- Explain the relationship of surface area to volume
- Describe the importance of a large surface area to volume ratio in the context of a living cell
- Calculate surface area of cubes and spheres
- Calculate volume of cubes and spheres
- Express two values as a ratio
- Enter data into a table
- Interpret Tables
- Create a graph
- Describe the axis labels on graphs
- Interpret graphs
This material is based upon work supported by the National Science Foundation under Grant No. 1919613. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Subject:
Biology
Life Science
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Christianne Baucom Nieuwsma
John Howard Starnes
Sondra Marie Lore
Vedham Karpakakunjaram
Jennifer Glee Buntz
04/23/2021
Unrestricted Use
CC BY
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A very short video introduction to how photosynthesis cycles energy through an ecosystem and a "real-world" application of ratios! Lindsay Hollister, JPPM's horticulturalist, taps a black walnut tree for its sap and park staff boil it down to create syrup. Included in this video are an animated food web showing the directions of energy flow during photosynthesis and when sap is "rising," which can be extended by students to include humans or more parts of their local ecosystem. Use the video as an introduction to activities about sugar and biological storage, and an excuse to sample maple syrup to taste the sugar. Alternatively, research trees nearby students could help tap and witness the biological transfer of energy themselves.

Always be sure you can successfully identify a plant before using it and take precautions to avoid negative reactions.

This resource is part of Jefferson Patterson Park and Museum’s open educational resources project to provide history, ecology, archaeology, and conservation resources related to our 560 acre public park. More of our content can be found here on OER Commons or from our website at jefpat.maryland.gov. JPPM is a part of the Maryland Historical Trust under the Maryland Department of Planning.

Subject:
Biology
Botany
Life Science
Nutrition
Material Type:
Case Study
Diagram/Illustration
Provider:
Jefferson Patterson Park and Museum
Author:
02/24/2022
Some Rights Reserved
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The evil Scaleo has escaped from prison and is transforming the length, width, and height of objects until they become useless – or dangerous. Who can put things right? Superheroine Scale Ella uses the power of scale factor to foil the villain.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
07/15/2015
Educational Use
Rating
0.0 stars

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
02/07/2017
Unrestricted Use
CC BY
Rating
0.0 stars

Ratios are everywhere around us whether we realize it or not. Understanding and applying ratio concepts is a life skill and job skill that will benefit any learner. The goal for this unit is to provide learners with a working knowledge of ratios that they can apply to their everyday lives, education, or occupation.

Subject:
Mathematics
Material Type:
Lesson Plan
Module