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.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Prokaryotes are assumed to be the oldest existing life form on earth and are found in almost all ecosystems. Genome sequencing can provide a blueprint for the evolutionary and functional diversity of prokaryotes, but what proportion of bacteria and archaea on earth have actually had their genomes sequenced? A new study aimed to explore this basic question. By aligning the sequences released by the Earth Microbiome Project with 155,810 prokaryotic genomes from public databases, researchers found that the median proportions of the genome-sequenced cells and taxa in different biomes reached 38.1% and 18.8%. Due to a set of cosmopolitan OTUs that are found in multiple samples and preferentially sequenced, only 2.1% of the global prokaryotic taxa are represented by sequenced genomes, and most of the biomes were occupied by a few predominant taxa with a high relative abundance, while rarer taxa were less represented..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

How reserve requirements limit how much lending a bank can do. Created by Sal Khan.

This lesson unit is intended to help teachers assess how well students are able to solve a real-world modeling problem. There are several correct approaches to the problem, including some that involve proportional relationships.

Students discuss classroom routines and expectations, work with partners to present their work matching different representations of a ratio situation, and then prepare math summaries.Introduce classroom routines and expectations prior to the full mathematics lesson. Ask students to discuss how to clearly present their work to their classmates. Model an example of partner work, and then have students work with their partners to match different representations of a ratio situation. Read and discuss a Summary of the Math, and then have students write Reflections about their wonderings.Key ConceptsStudents match a data card with its corresponding ratio, decimal, fraction, percent, and description of the relationship in words. Students construct viable arguments for their matches and critique the reasoning of their partner and other classmates.Goals and Learning ObjectivesDescribe the classroom routines and expectations.Consider how to present work clearly to classmates.Collaborate with a partner.Critique a partner’s reasoning.Connect different representations of a ratio situation.

Allow 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 DescriptionSolving Percent ProblemsStudents understand the structure of percent problems by analyzing many problems.Running a Clothing StoreStudents help the owner of a clothing store determine how to get the greatest profit.Less FatStudents determine the percentage of fat in whole milk.10% MoreStudents evaluate three statements from Huey, Dewey, and Louie and determine which statement is correct.Free SpaceStudents determine which of two hard drives has the most free space.

This real world word problem requires students to figure out the scale ratio and unit rate.

Solve problems involving ratios and rates.

a. Create tables of equivalent ratios, find missing values in the tables and plot the pairs of values on the Cartesian coordinate plane.
b. Solve unit rate problems.

Seeing how reserve ratios limit how much lending I can do. Created by Sal Khan.

In these activities designed to introduce sampling distributions and the Central Limit Theorem, students generate several small samples and note patterns in the distributions of the means and proportions that they themselves calculate from these samples.

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.

This problem includes a percent increase in one part with a percent decrease in the remaining and asks students to find the overall percent change. The problem may be solved using proportions or by reasoning through the computations or writing a set of equations.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"The gut microbiome comprises a diverse range of eukaryotic microorganisms, archaea, bacteria, and viruses that influence our health and wellness. The most abundant type of microbe in the gut – viruses that infect bacteria, called phages – are highly diverse, individual-specific, and stable over time. Phages have gained attention recently as modulators of the gut microbiome and health, but inducible prophages are difficult to identify in bacterial genomes, making them challenging to study. A new study presents a method for using high-throughput sequencing data to locate inducible prophages. Researchers used a well-established model system to validate their methods, including phage-to-host ratios and phage location in the reference genome. After validation, they expanded their methods to a murine gut model microbiota and were able to locate five novel inducible prophages, quantify their activity, and show signatures of lateral transduction potential..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

True love has the right ratio. In this humorous animation, the number of words spoken by each partner predicts whether a date goes well or horribly. What do you do when someone asks if you listen to country music backwards, but won't let you get a word in edgewise?

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.

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.

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.

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.