Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 3

Unit Rates and Percentages

Lesson 13: Benchmark Percentages

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent Video Transcript: Percents: Calculating the Whole Given a Percent

This is the transcript that goes with the video segment entitled Video: Percents: Calculating the Whole Given a Percent.

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Percents
Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents Video Transcript: Percents: Estimating Percents

This is the transcript that goes with the video segment entitled Video: Percents: Estimating Percents.

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Percents
Video Transcript: Percents: Fraction-Percent Conversion Video Transcript: Percents: Fraction-Percent Conversion Video Transcript: Percents: Fraction-Percent Conversion

This is the transcript that goes with the video segment entitled Video: Percents: Fraction-Percent Conversion.

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Percents
Video Transcript: Percents: Multiple Percents Video Transcript: Percents: Multiple Percents Video Transcript: Percents: Multiple Percents

This is the transcript that goes with the video segment entitled Video: Percents: Multiple Percents.

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Percents
Video Transcript: Percents: Percent Decrease Video Transcript: Percents: Percent Decrease Video Transcript: Percents: Percent Decrease

This is the transcript that goes with the video segment entitled Video: Percents: Percent Decrease.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Percent Increase Video Transcript: Percents: Percent Increase Video Transcript: Percents: Percent Increase

This is the transcript that goes with the video segment entitled Video: Percents: Percent Increase.

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Percents
Video Transcript: Percents: Percent of a Difference Video Transcript: Percents: Percent of a Difference Video Transcript: Percents: Percent of a Difference

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percent of a Difference.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Percent of a Number Video Transcript: Percents: Percent of a Number Video Transcript: Percents: Percent of a Number

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percent of a Number.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Percents and Multiples of Numbers Video Transcript: Percents: Percents and Multiples of Numbers Video Transcript: Percents: Percents and Multiples of Numbers

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Percents and Multiples of Numbers.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Probabilities and Percents Video Transcript: Percents: Probabilities and Percents Video Transcript: Percents: Probabilities and Percents

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Probabilities and Percents.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Simple Interest Video Transcript: Percents: Simple Interest Video Transcript: Percents: Simple Interest

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Simple Interest.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: The Percent One Number is of Another Video Transcript: Percents: The Percent One Number is of Another Video Transcript: Percents: The Percent One Number is of Another

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: The Percent One Number is of Another.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Percents: Visual Models for Percents Video Transcript: Percents: Visual Models for Percents Video Transcript: Percents: Visual Models for Percents

This is the transcript that goes with the video segment entitled Video Tutorial: Percents: Visual Models for Percents.

This is part of a collection of video transcripts for the video tutorial series on Percents. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Percents
Video Transcript: Ratios, Proportions, and Percents: Calculating Percents Video Transcript: Ratios, Proportions, and Percents: Calculating Percents Video Transcript: Ratios, Proportions, and Percents: Calculating Percents

This is the transcript that goes with the video segment entitled Video Tutorials: Ratios, Proportions, and Percents: Calculating Percents.

This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Ratios and Rates
Video Transcript: Ratios: Visual Models for Ratios and Percents Video Transcript: Ratios: Visual Models for Ratios and Percents Video Transcript: Ratios: Visual Models for Ratios and Percents

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. Let's look at an example.

Ratios and Rates
VideoTutorial--Percents1Thumbnail.jpg Video Tutorial: Percents, Video 1 Video Tutorial: Percents, Video 1

Topic

Percents

Description

The video explains how to find the percent of a number by converting percents to fractions or decimals and performing multiplication. Examples include voter turnout in elections, body water composition, and ocean salt concentration. Key concepts include percent conversion and checking calculations using reverse operations. Applications include real-world scenarios such as population statistics and scientific measurements.

Percents
VideoTutorial--Percents10Thumbnail.jpg Video Tutorial: Percents, Video 10 Video Tutorial: Percents, Video 10

Topic

Percents

Description

This video covers calculating percent decreases in scenarios such as price reductions, vehicle depreciation, and cube dimension changes. Examples demonstrate the relationship between linear decreases and their exponential effects on surface area and volume. Applications include consumer goods, real estate, and geometry.

Percents
VideoTutorial--Percents11Thumbnail.jpg Video Tutorial: Percents, Video 11 Video Tutorial: Percents, Video 11

Topic

Percents

Description

The video explains how to calculate simple interest using a formula involving principal, rate, and time. Examples include savings account growth, stock investments, and rare coin valuation. Applications include financial planning and historical item appraisal.

Percents
VideoTutorial--Percents12Thumbnail.jpg Video Tutorial: Percents, Video 12 Video Tutorial: Percents, Video 12

Topic

Percents

Description

This video covers tax calculations for purchases, property, and VAT. Examples include grocery bills, iPad purchases, and real estate property taxes. Applications highlight the importance of understanding tax rates for budgeting and financial management.

Percents
VideoTutorial--Percents13Thumbnail.jpg Video Tutorial: Percents, Video 13 Video Tutorial: Percents, Video 13

Topic

Percents

Description

The video demonstrates calculating tips and commissions using percentages. Examples include restaurant tips, real estate commissions, and catering costs. Applications focus on service industry calculations and earnings management.

Percents
VideoTutorial--Percents14Thumbnail.jpg Video Tutorial: Percents, Video 14 Video Tutorial: Percents, Video 14

Topic

Percents

Description

This video demonstrates how to handle multiple percentage changes applied sequentially, including discounts and price fluctuations. Examples include double-discounted items, stock price variations, and gasoline price changes. Applications emphasize consolidating multiple percents into single calculations for efficiency in financial and retail scenarios.

Percents
VideoTutorial--Percents15Thumbnail.jpg Video Tutorial: Percents, Video 15 Video Tutorial: Percents, Video 15

Topic

Percents

Description

The video explores percent-based probabilities in scenarios like dice rolls. Examples include calculating probabilities of specific outcomes and estimating occurrences over multiple trials. Applications include games of chance and statistical analysis.

Percents
VideoTutorial--Percents16Thumbnail.jpg Video Tutorial: Percents, Video 16 Video Tutorial: Percents, Video 16

Topic

Percents

Description

The video explains the distinction between percent growth and multiple growth. Examples include doubling heights, stock price increases, and oil price changes. Applications emphasize clear understanding of percent versus multiplier concepts in finance and everyday math.

Percents
VideoTutorial--Percents2Thumbnail.jpg Video Tutorial: Percents, Video 2 Video Tutorial: Percents, Video 2

Topic

Percents

Description

This video demonstrates solving for the whole when given a percent and a part. Examples include lemonade recipes, mixing paint, and counting UFOs. Techniques involve writing equations using decimals for percents and solving for the unknown total. Key vocabulary includes part, whole, and equation setup, with practical applications in recipes, art, and problem-solving.

Percents
VideoTutorial--Percents3Thumbnail.jpg Video Tutorial: Percents, Video 3 Video Tutorial: Percents, Video 3

Topic

Percents

Description

The video discusses finding a percent difference when given a part that is not the focus of the percent. Scenarios include bus usage in schools, basketball free throws, and salmon spawning. It emphasizes adjusting percentages for complementary parts before solving equations. Applications highlight real-world uses in demographics, sports, and environmental studies.

Percents
VideoTutorial--Percents4Thumbnail.jpg Video Tutorial: Percents, Video 4 Video Tutorial: Percents, Video 4

Topic

Percents

Description

This video focuses on calculating what percent one number is of another, using ratios and fractions. Examples include ratios in milk composition and inverses such as determining larger percents over 100. Applications show comparisons and understanding proportional relationships in varied contexts.

Percents
VideoTutorial--Percents5Thumbnail.jpg Video Tutorial: Percents, Video 5 Video Tutorial: Percents, Video 5

Topic

Percents

Description

Visual models such as grids and rectangles are used to represent percents and fractions for solving problems like transport usage, car distribution, and sales discounts. Examples include using grids to represent percentages of populations or products. Applications include educational tools and practical estimation.

Percents
VideoTutorial--Percents6Thumbnail.jpg Video Tutorial: Percents, Video 6 Video Tutorial: Percents, Video 6

Topic

Percents

Description

This video teaches estimation techniques for calculating percents without a calculator. Examples include estimating fish populations, race participants, and cyclists. Visual aids like rectangles partitioned into fractions assist with rounding percents for quick calculations. Applications focus on efficient mental math for real-world approximations.

Percents
VideoTutorial--Percents7Thumbnail.jpg Video Tutorial: Percents, Video 7 Video Tutorial: Percents, Video 7

Topic

Percents

Description

The video explores converting fractions to percents for simplified calculations. Examples include determining cargo contents, rose sales, and motorcycle proportions. Fraction-percent equivalence simplifies arithmetic and provides quick insights into ratios and totals. Applications include logistics, commerce, and urban planning.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents9Thumbnail.jpg Video Tutorial: Percents, Video 9 Video Tutorial: Percents, Video 9

Topic

Percents

Description

The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

Percents
VideoTutorial--Ratios16Thumbnail.jpg Video Tutorial: Ratios, Video 16 Video Tutorial: Ratios, Video 16

Topic

Ratios

Description

Ratios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages.

Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions
WorksheetThumbnail.jpg Worksheet: Converting Decimals to Percents Greater Than 100, Set 08

Worksheet: Converting Decimals to Percents Greater Than 100, Set 08

This is part of a collection of math worksheets on the topic of converting decimals.

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Percents and Numerical Expressions