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Math, Grade 6, Ratios, Gallery Problems
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Gallery OverviewAllow students who have a clear understanding of the content thus far in the unit to work on Gallery problems of their choosing. You can then use this time to provide additional help to students who need review of the unit's concepts or to assist students who may have fallen behind on work.Gallery DescriptionsWork on Your ProjectStudents will work on their project with their group and evaluate their progress using the rubric.Equivalent RatiosSometimes ratios that are equivalent don’t look equivalent at first. Students will use their ratio detective skills to identify equivalent ratios, and then they will choose a model to represent a set of equivalent ratios.Three FarmersTough times on the farm mean three farmers are sharing a seed purchase. Students will make sure each farmer gets the right amount of seed.The DanceEveryone is excited about the upcoming school dance, and two students discuss the ratio of boys to girls. Students will evaluate their statements and decide if their statements are true.The Adults at SchoolWho are the adults who work at school? Students will represent and investigate ratios of teachers to non-teaching staff, including adults at their own school.Sports ReportersReporters are sometimes wrong. Students will check the math in two reports about soccer matches at Estadio Azteca in Mexico City.Screen ChallengeThe aspect ratio of movie screens and TV screens has a direct impact on viewers’ experience. Students will explore aspect ratios in this activity.Election ResultsOops! A newspaper made an error in a report about the local election results. Students will find and fix the error.Birthday at the MoviesMia’s family is treating her whole class to a movie for her birthday! Students will calculate how much the tickets will cost.Dinner ReservationsIt’s graduation night! Students will calculate how many tables a restaurant needs for a party of 26 people.Birth MonthsStudents will investigate the percent of students in a class who have birthdays in each month.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Samples and Probability, Predicting Results Using Ratio & Proportion
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Students will compare expected results to actual results by first calculating the probability of an event, then conducting an experiment to generate data. They will use an interactive to simulate a familiar event—rolling a number cube. Students will also be introduced to terminology.Key ConceptsThis lesson takes an informal look at the Law of Large Numbers through comparing experimental results to expected results.There is variability in actual results.Probability terminology is introduced:theoretical probability: the ratio of favorable outcomes to the total number of possible equally-likely outcomes, often simply called probabilityexpected results: the results based on theoretical probabilityexperimental probability: the ratio of favorable outcomes to the total number of trials in an experimentactual results: the results based on experimental probabilityoutcome: a single possible resultsample space: the set of all possible outcomesexperiment: a controlled, repeated process, such as repeatedly tossing a cointrial: each repetition in an experiment, such as one coin tossevent: a set of outcomes to which a probability is assignedGoals and Learning ObjectivesPredict results using ratio and proportion.Compare expected results to actual results.Understand that the actual results get closer to the expected results as the number of trials increase.

Subject:
Statistics and Probability
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships, Creating Equations, Tables & Graphs
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Students create equations, tables, and graphs to show the proportional relationships in sales tax situations.Key ConceptsThe quantities—price, tax, and total cost—can each be known or unknown in a given situation, but if you know two quantities, you can figure out the missing quantity using the structure of the relationship among them.If either the price or the total cost are unknown, you can write an equation of the form y = kx, with k as the known value (1 + tax), and solve for x or y.If the tax is the unknown value, you can write an equation of the form y = kx and solve for k, and then subtract 1 from this value to find the tax (as a decimal value).Building a general model for the relationship among all three quantities helps you sort out what you know and what you need to find out.Goals and Learning ObjectivesMake a table to organize known and unknown quantities in a sales tax problem.Write and solve an equation to find an unknown quantity in a sales tax problem.Make a graph to represent a table of values.Determine the unknown amount—either the price of an item, the amount of the sales tax, or the total cost—in a sales tax situation when given the other two amounts.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Trig Ratios
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This is a lesson to identify trig ratios and how to setup/solve the equations.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Author:
Val Rosenthal
Date Added:
12/20/2019
Math, Grade 6, Ratios, Apply Your Knowledge about Ratios
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Students design and work on their projects in class. They review the project rubric and, as a class, add criteria relevant to their specific projects.Key ConceptsStudents apply their knowledge about ratios to solve a problem. They represent ratios using models such as tables, tape diagrams, double number lines, or graphs.Goals and Learning ObjectivesUse and interpret ratios to solve a problem.Model ratios—including tables, tape diagrams, double number lines, graphs—to represent a problem situation.Articulate strategies, thought processes, and approaches to solving a problem and defend why the solution is reasonable.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships, Exploring Numerical Relationships
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Students are asked whether they can determine the number of books in a stack by measuring the height of the stack, or the number of marbles in a collection of marbles by weighing the collection.Students are asked to identify for which situations they can determine the number of books in a stack of books by measuring the height of the stack or the number of marbles in a collection of marbles by weighing the collection.Key ConceptsAs students examine different numerical relationships, they come to understand that they can find the number of books or the number of marbles in situations in which the books are all the same thickness and the marbles are all the same weight. This “constant” is equal to the value BA for a ratio A : B; students begin to develop an intuitive understanding of proportional relationships.Goals and Learning ObjectivesExplore numerical relationshipsSWD: Some students with disabilities will benefit from a preview of the goals in each lesson. Have students highlight the critical features or concepts to help them pay close attention to salient information.

Subject:
Numbers and Operations
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships, Identifying Errors In Reasoning
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Students are given a collection of statements that are incorrect. Their task is to construct arguments about why the statements are flawed and then correct the flawed statements.Key ConceptsPercent change is a rate of change of an original amount.In two situations with the same percent change but different original amounts, the percent amount will be different because the percent amount depends directly on the original amount. For example: 50% of 20 is 10. 50% of 10 is 5.Similarly, in two situations with the same amount of increase but different original amounts, the percent change of each amount is different. For example: Suppose two amounts increase by $5. If one original amount is $20, the increase is 25%. If the other original amount is $25, the increase is 20%.Goals and Learning ObjectivesIdentify errors in reasoning in percent situations.Use examples to explain why the reasoning is incorrect.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships, Understanding Percent Change
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In Part l of this two-part lesson, students use an interactive to place percent increase and percent decrease signs between monetary amounts to indicate the correct increase or decrease between the amounts of money. They must also place the correct decimal multiplier  between the two amounts to show what decimal to multiply the original amount by to get the final amount.Key ConceptsStudents apply understanding of percent change situations to systematize and generalize patterns in relating two amounts by multiplication.Goals and Learning ObjectivesIdentify the percent increase or percent decrease between two amounts.Identify the decimal multiplier that when multiplied by the original amount results in the final amount.Reason abstractly and quantitatively.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Proportional Reasoning and the Bee Waggle Dance
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CC BY
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Tom Thompson
Date Added:
08/10/2020
Discovering Phi: The Golden Ratio
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Educational Use
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Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"—a star, a nautilus shell and human hand bones—and calculate ratios of the measured values, which are close to phi. Then students learn a basic definition of a mathematical sequence, specifically the Fibonacci sequence. By taking ratios of successive terms of the sequence, they find numbers close to phi. They solve a squares puzzle that creates an approximate Fibonacci spiral. Finally, the instructor demonstrates the rule of the Fibonacci sequence via a LEGO® MINDSTORMS® NXT robot equipped with a pen. The robot (already created as part of the companion activity, The Fibonacci Sequence & Robots) draws a Fibonacci spiral that is similar to the nautilus shape.

Subject:
Applied Science
Engineering
Mathematics
Technology
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Nicole Abaid
Date Added:
09/18/2014
Math, Grade 7, Samples and Probability, Calculating Probability As A Ratio
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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
Date Added:
09/21/2015
Ratios: Unbound |Â A Guide to Grade 7 Mathematics Standards
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Welcome to the UnboundEd Mathematics Guide series! These guides are designed to explain what new, high standards for mathematics say about what students should learn in each grade, and what they mean for curriculum and instruction. This guide, the first for Grade 7, includes three parts. The first part gives a “tour” of the standards for Ratios & Proportional Relationships using freely available online resources that you can use or adapt for your class. The second part shows how Ratios & Proportional Relationships relate to other concepts in Grade 7. And the third part explains where Ratios & Proportional Relationships are situated in the progression of learning from Grades 3-8.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Teaching/Learning Strategy
Provider:
UnboundEd
Provider Set:
UnboundEd Mathematics Guide
Date Added:
05/18/2016
Math, Grade 6, Ratios, Finding Percents
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Students use informal methods of their own choosing to find percents of randomly generated monetary values.Key ConceptsMany approaches work for solving percent problems. This lesson focuses on experimenting with a range of approaches and understanding why and how multiple approaches yield correct results.Goals and Learning ObjectivesFind a percent of a given quantity.Find a quantity given a part and the percent that part is of the whole.Use percents in money calculations.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
trigonometric ratio application
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student applying about how to find the height of a school building by using trigonometric ratio

Material Type:
Activity/Lab
Date Added:
01/21/2014
Statistics: Hypothesis Test Comparing Population Proportions
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This 16-minute video lesson looks at the hypothesis test for comparing population proportions. [Statistics playlist: Lesson 61 of 85]

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Topographic Maps and Ratios: A Study of Denali
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Students overlay USGS topographic maps into Google Earth’s satellite imagery. By analyzing Denali, a mountain in Alaska, they discover how to use map scales as ratios to navigate maps, and use rates to make sense of contour lines and elevation changes in an integrated GIS software program. Students also problem solve to find potential pathways up a mountain by calculating gradients.

Subject:
Applied Science
Engineering
Geometry
Mathematics
Measurement and Data
Numbers and Operations
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Andrea Burrows
Jake Schell
Date Added:
10/06/2018