Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Closed Captioned Video: Ratios and Proportions: Scale Drawings |
Closed Captioned Video: Ratios and Proportions: Scale Drawings
Video Tutorial: Ratios and Proportions: Scale Drawings. In this video, we look at the properties of similar figures and use proportions to find lengths of corresponding sides. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Proportions: Solving Proportions |
Closed Captioned Video: Ratios and Proportions: Solving Proportions
Video Tutorial: Ratios and Proportions: Solving Proportions. In this video, we solve proportion problems algebraically. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Proportions: What Are Proportions? |
Closed Captioned Video: Ratios and Proportions: What Are Proportions?
Video Tutorial: Ratios and Proportions: What are Proportions?. In this video, we solve proportion problems using equivalent ratios. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Rates: Converting Measurement Units |
Closed Captioned Video: Ratios and Rates: Converting Measurement Units
Video Tutorial: Ratios and Rates: Converting Measurement Units. In this video, we show how to use conversion rates to convert from one unit of measurement to another. Students are shown how to create a conversion rate. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines |
Closed Captioned Video: Ratios and Rates: Rates and Slopes of Lines
Video Tutorial: Ratios and Rates: Rates and Slopes of Lines. In this video we connect the concept of rate of change for a set of linear data to the concept of slope. We use the slope formula to find the rate of change. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Rates: Rates from Data |
Closed Captioned Video: Ratios and Rates: Rates from Data
Video Tutorial: Ratios and Rates: Rates from Data. In this video, we look at linear data sets that can be used to find the rate of change. |
Ratios and Rates | |
Closed Captioned Video: Ratios and Rates: Ratios as Decimals |
Closed Captioned Video: Ratios and Rates: Ratios as Decimals
Video Tutorial: Ratios and Rates: Ratios as Decimals. In this video, students explore ratios whose terms are decimals. Students are shown techniques for simplifying these types of ratios in ;the context of solving real-world ratio problems. |
Ratios and Rates | |
Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents |
Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents
Video Tutorial: Ratios and Percents: Calculating Percents. In this video, students will see the relationship between ratios, proportions, and percents. A percent formula is derived and used to solve several real-world percent problems. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps |
Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsWhat 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 and Applications of Ratios, Proportions, and Percents | |
Closed Captioned Video: Ratios: Equivalent Ratios |
Closed Captioned Video: Ratios: Equivalent Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Fractional Ratios |
Closed Captioned Video: Ratios: Fractional Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Numerical Models for Ratios |
Closed Captioned Video: Ratios: Numerical Models for Ratios
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Rates |
Closed Captioned Video: Ratios: Rates
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Ratios and Fractions |
Closed Captioned Video: Ratios: Ratios and Fractions
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Ratios with Three Items |
Closed Captioned Video: Ratios: Ratios with Three Items
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Unit Rates |
Closed Captioned Video: Ratios: Unit Rates
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Closed Captioned Video: Ratios: Visual Models for Ratios |
Closed Captioned Video: Ratios: Visual Models for RatiosWhat 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 | |
Closed Captioned Video: Ratios: Visual Models for Ratios and Percents |
Closed Captioned Video: 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. |
Ratios and Rates | |
Closed Captioned Video: Ratios: What Are Ratios? |
Closed Captioned Video: Ratios: What Are Ratios?
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Converting Units |
Converting UnitsTopicRatios, Proportions, and Percents DefinitionConverting units involves changing a measurement from one unit to another using a conversion factor. DescriptionConverting units is essential in various fields such as science, engineering, and everyday life. It involves using ratios and proportions to switch between different measurement systems, such as converting inches to centimeters or gallons to liters. For example, to convert 5 miles to kilometers, knowing that 1 mile is approximately 1.60934 kilometers, you multiply 5 × 1.60934 = 8.0467 kilometers |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Equivalent Ratios |
Equivalent RatiosTopicRatios, Proportions, and Percents DefinitionEquivalent ratios are ratios that express the same relationship between quantities. DescriptionEquivalent ratios are fundamental in understanding proportions and scaling in mathematics. They represent the same relationship between quantities, even though the numbers themselves may differ. This concept is crucial in various applications, such as cooking, map reading, and creating models. For instance, the ratios 2:3 and 4:6 are equivalent because they both simplify to the same ratio when reduced. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Part-to-Part Ratios |
Part-to-Part RatiosTopicRatios, Proportions, and Percents DefinitionPart-to-part ratios compare different parts of a whole to each other. DescriptionPart-to-part ratios are used to compare different parts of a whole, providing a way to understand the relationship between different components. This type of ratio is essential in fields such as statistics, biology, and economics. For example, if a class has 10 boys and 15 girls, the part-to-part ratio of boys to girls is 10:15, which simplifies to 2:3. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Part-to-Whole Ratios |
Part-to-Whole RatiosTopicRatios, Proportions, and Percents DefinitionPart-to-whole ratios compare one part of a whole to the entire whole. These ratios are more commonly known as fractions. DescriptionPart-to-whole ratios are used to compare a part of a whole to the entire whole, providing insights into the composition of a dataset or population. This type of ratio, more commonly referred to as fractions, is widely used in statistics, finance, and everyday decision-making. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Rate |
RateTopicRatios, Proportions, and Percents DefinitionA rate is a ratio that compares two quantities with different units. DescriptionRates are used to compare different quantities, such as speed (miles per hour) or price (cost per item). Understanding rates is essential for interpreting data and making informed decisions in various contexts, such as travel and budgeting. For instance, if a car travels 60 miles in 2 hours, the rate is 30 miles per hour. Learning about rates helps students analyze real-world situations and apply mathematical reasoning to everyday problems. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratio |
RatioTopicRatios, Proportions, and Percents DefinitionA ratio is a comparison of two quantities by division. DescriptionRatios are used to express the relationship between two quantities, providing a way to compare different amounts. They are fundamental in various fields, including mathematics, science, and finance. For example, the ratio of 4 to 5 can be written as 4:5 or 4/5. Understanding ratios helps students analyze data, solve problems, and make informed decisions in real-world situations. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratios and Fractions |
Ratios and FractionsTopicRatios, Proportions, and Percents DefinitionRatios and fractions are both ways of comparing quantities, with fractions representing a part of a whole. DescriptionUnderstanding the connection between ratios and fractions is crucial for solving problems involving proportions and scaling. Ratios can be expressed as fractions, providing a way to understand the relationship between quantities. A fraction is a part-whole ratio. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratios and Slope |
Ratios and SlopeTopicRatios, Proportions, and Percents DefinitionThe slope of a line is a ratio that represents the change in y over the change in x. DescriptionUnderstanding the relationship between ratios and slope is essential for interpreting graphs and solving problems in algebra and geometry. The slope is a measure of how steep a line is, calculated as the ratio of the vertical change to the horizontal change between two points. For example, if a line rises 2 units for every 3 units it runs horizontally, the slope is 2/3. This concept is crucial for understanding linear relationships and analyzing data in various fields. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratios with Decimals |
Ratios with DecimalsTopicRatios, Proportions, and Percents DefinitionRatios with decimals involve comparing two quantities where one or both of the quantities are represented as decimal numbers. DescriptionRatios with decimals are crucial in various real-world applications, particularly in financial calculations, engineering, and scientific measurements. For instance, when calculating financial ratios such as the price-to-earnings ratio, decimals are often involved. Understanding how to work with these ratios allows for more precise and meaningful comparisons. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratios with Fractions |
Ratios with FractionsTopicRatios, Proportions, and Percents DefinitionRatios with fractions compare two quantities where one or both of the quantities are fractions. DescriptionRatios with fractions are essential in various mathematical and real-world contexts, such as cooking, where ingredients are often measured in fractions. Understanding these ratios allows for accurate scaling of recipes or other measurements. For example, if a recipe calls for 1/2 cup of sugar to 1/4 cup of butter, the ratio is 1/2:1/4, which simplifies to 2:1 by multiplying both terms by 4. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Ratios with Percents |
Ratios with PercentsTopicRatios, Proportions, and Percents DefinitionRatios with percents involve comparing quantities where one or both of the quantities are expressed as percentages. DescriptionRatios with percents are widely used in various fields, including finance, statistics, and everyday life. For example, when comparing interest rates, growth rates, or discount rates, percentages are often used. Understanding these ratios allows for better financial decision-making and data analysis. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--The Golden Ratio |
The Golden RatioTopicRatios, Proportions, and Percents DefinitionThe Golden Ratio is a special number approximately equal to 1.618, often denoted by the Greek letter φ (phi), which appears in various aspects of art, architecture, and nature. |
Applications of Ratios, Proportions, and Percents and Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Unit Rate |
Unit RateTopicRatios, Proportions, and Percents DefinitionA unit rate is a comparison of any two separate but related measurements when one of the measurements is reduced to a single unit. DescriptionUnit rates are commonly used in everyday life, such as calculating speed (miles per hour), cost per item, or efficiency (miles per gallon). For example, if a car travels 300 miles on 10 gallons of gas, the unit rate is 30 miles per gallon. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Visualizing Equivalent Ratios |
Visualizing Equivalent RatiosTopicRatios, Proportions, and Percents DefinitionVisualizing equivalent ratios involves using diagrams or models to show that two ratios are equivalent. DescriptionVisualizing equivalent ratios is important in fields such as mathematics and engineering, where understanding proportional relationships is crucial. For example, using a double number line or a ratio table can help illustrate that the ratios 2:3 and 4:6 are equivalent. |
Ratios and Rates | |
Definition--Ratios, Proportions, and Percents Concepts--Visualizing Ratios |
Visualizing RatiosTopicRatios, Proportions, and Percents DefinitionVisualizing ratios involves using diagrams or models to represent and understand the relationship between two quantities. DescriptionVisualizing ratios is essential in various fields, such as mathematics, science, and economics, where understanding the relationship between quantities is crucial. For example, using a bar model or a double number line can help illustrate the ratio of 3:4. |
Ratios and Rates | |
Desmos Activity: Slope As Rate of Change |
Desmos Activity: Slope As Rate of Change Use this activity to explore slope as a rate of change. In this Desmos activity, the slope of the line is the rate (cost per pound) for purchasing fruit. Students manipulate the slider for m to see the impact on the cost. |
Slope and Ratios and Rates | |
Formulas--Converting Celsius to Fahrenheit |
Formulas--Converting Celsius to Fahrenheit
The formula for the Converting Celsius to Fahrenheit. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Days to Hours |
Formulas--Converting Days to Hours
The formula for Converting Days to Hours. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Days to Minutes |
Formulas--Converting Days to Minutes
The formula for Converting Days to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Days to Seconds |
Formulas--Converting Days to Seconds
The formula for Converting Days to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Degrees to Radians |
Formulas--Converting Degrees to Radians
The formula for Converting Degrees to Radians. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Fahrenheit to Celsius |
Formulas--Converting Fahrenheit to Celsius
The formula for Converting Fahrenheit to Celsius. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Hours to Minutes |
Formulas--Converting Hours to Minutes
The formula for Converting Hours to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Hours to Seconds |
Formulas--Converting Hours to Seconds
The formula for Converting Hours to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Minutes to Seconds |
Formulas--Converting Minutes to Seconds
The formula for Converting Minutes to Seconds. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Radians to Degrees |
Formulas--Converting Radians to Degrees
The formula for Converting Radians to Degrees. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Seconds to Days |
Formulas--Converting Seconds to Days
The formula for Converting Seconds to Days. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Seconds to Hours |
Formulas--Converting Seconds to Hours
The formula for Converting Seconds to Hours. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Formulas--Converting Seconds to Minutes |
Formulas--Converting Seconds to Minutes
The formula for Converting Seconds to Minutes. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Ratios, Proportions, and Percents, Proportions and Ratios and Rates | |
Instructional Resource--Fibonacci Sequence, Lesson 4 |
Instructional Resource | Fibonacci Sequence, Lesson 4
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi. —PRESS PREVIEW TO VIEW THE LESSON— To see the other lessons in this series, click on the link.Note: The download is a PDF file. Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Sequences, Ratios and Rates and Proportions | |
Instructional Resource--Fibonacci Sequence, Lesson 5 |
Instructional Resource | Fibonacci Sequence, Lesson 5
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi. —PRESS PREVIEW TO VIEW THE LESSON— To see the other lessons in this series, click on the link.Note: The download is a PDF file. Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Sequences, Ratios and Rates and Proportions |