Illustrative Math Alignment: Grade 7 Unit 9

Topic

Ratios

Description

This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

Topic

Ratios

Description

The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.

Topic

Ratios

Description

This video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates.

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Topic

Ratios

Description

This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

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.

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.

Topic

Ratios

Description

The video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

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.

Topic

Ratios

Description

The video explains ratios involving more than two items, such as 1:3:4, and how they encompass multiple pairwise ratios. Applications include recipes where ingredients are combined in specific proportions. It demonstrates working forward and backward with ratios to identify components or adjust quantities proportionally.

Topic

Ratios

Description

This video focuses on ratios written with fractions, showing how to convert fractional ratios into whole-number ratios by eliminating denominators. Applications include recipes and ensuring proportions are maintained in measurements. It emphasizes mathematical manipulation to align ratios with practical uses.

Topic

Ratios

Description

Ratios are compared to fractions, emphasizing differences between part-to-part and part-to-whole relationships. Examples include finding fractions of subsets within a collection and modeling classroom demographics. The video highlights deriving fractional equivalents from given ratios.

Topic

Ratios

Description

The video showcases visual representations like tape diagrams, snap cubes, and grids to solve ratio problems. It includes examples such as determining quantities in coin collections and paint mixtures. Applications involve modeling real-world problems using clear, visual methods.

Topic

Ratios

Description

This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.

Topic

Ratios

Description

This video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions.

Topic

Ratios

Description

The video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks.

Topic

Ratios

Description

Proportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications.

Topic

Data Analysis

Description

Adjustable-rate mortgages (ARMs) are discussed, focusing on their role in the 2008 crisis. It demonstrates how variable rates increase long-term costs and create financial risks. Concepts include loan balance, refinancing, and amortization. The video uses spreadsheets to show payment changes over time and their economic effects. Applications highlight real-world implications of rising interest rates and decreasing home values.

Topic

Equations

Description

The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

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Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of combining like terms in an expression. Learning how to identify the different variables in word problems can be an important step toward solving equations and finding like terms. First, read the word problem and try to identify each variable represented. Then, write down your expressions including each variable you’ve identified. This will help you visualize what needs to be solved, making it easier to find like terms in each equation.

The next section provides background information on combining like terms.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

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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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

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.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 09

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 10

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 11

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 12

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 13

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 14

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 15

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 16

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 17

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

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Worksheet: Converting Decimals to Percents Greater Than 100, Set 18

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

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.