Illustrative Math Alignment: Grade 7 Unit 5

The formula for Converting Days to Hours.

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The formula for Converting Days to Minutes.

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The formula for Converting Days to Seconds.

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The formula for Converting Degrees to Radians.

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The formula for Converting Fahrenheit to Celsius.

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The formula for Converting Hours to Minutes.

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The formula for Converting Hours to Seconds.

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The formula for Converting Minutes to Seconds.

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The formula for Converting Radians to Degrees.

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The formula for Converting Seconds to Days.

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The formula for Converting Seconds to Hours.

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The formula for Converting Seconds to Minutes.

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This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

Note: The download is a PDF file.

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This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

Note: The download is a PDF file.

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In this Slide Show, learn how to add and subtract rational numbers. Includes links to several Media4Math videos and a math game.

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The complete set of 28 examples that make up this set of tutorials.

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This set of tutorials provides 28 examples of rational functions in tabular and graph form.

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In this Slide Show, do a hands-on geometry activity to measure π. Note: The download is a PPT file.

In this tutorial students learn about rational expressions and use the properties of fractions to combine them.

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In this lesson, students will explore the fundamentals of rational expressions, a key concept in algebra. They will learn how to identify, simplify, and evaluate rational expressions by applying their understanding of fractions and algebraic operations. This lesson introduces students to the structure of rational expressions, emphasizing their similarities to numerical fractions and their role in algebraic problem-solving.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to simplify rational expressions by applying factoring techniques and identifying common factors. Rational expressions, which are algebraic fractions, can often be simplified by reducing common terms in the numerator and denominator. This lesson provides a step-by-step approach to recognizing and simplifying these expressions while reinforcing key algebraic concepts.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to add and subtract rational expressions by finding common denominators and simplifying algebraic fractions. Mastering these operations is essential for working with complex rational equations and solving real-world problems involving algebraic fractions. This lesson builds on prior knowledge of simplifying rational expressions and applying fraction rules.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to multiply and divide rational expressions by applying fraction rules and algebraic simplification techniques. Understanding these operations is essential for working with complex algebraic expressions and solving rational equations. This lesson builds on students’ knowledge of simplifying rational expressions and introduces step-by-step strategies for performing multiplication and division.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to simplify complex rational expressions—fractions that contain other fractions in the numerator, denominator, or both. Mastering this topic is essential for working with advanced algebraic expressions and preparing for higher-level math courses, including calculus.

Key concepts covered in this lesson include:

In this foundational lesson, students embark on a journey to understand the concept of ratios, a crucial building block in mathematics that compares two or more quantities. Through engaging activities and practical examples, learners will:

In this lesson, students will deepen their understanding of equivalent ratios and their role in proportional reasoning. By exploring real-world applications, students will develop the skills to recognize, create, and use equivalent ratios in practical situations. The lesson introduces multiple strategies for working with equivalent ratios, including ratio tables, scaling up and down, and solving problems using proportional reasoning.

Key components of this lesson include:

This lesson introduces seventh-grade students to ratios and unit rates, emphasizing their real-world applications. Through engaging activities and problem-solving exercises, students will develop proportional reasoning skills.

This lesson introduces seventh-grade students to unit rates and complex fractions, helping them develop a deeper understanding of proportional relationships and fraction operations. Students will learn to compute unit rates with fractional quantities, simplify complex fractions, and apply these skills to real-world situations such as speed calculations, recipe adjustments, and measurement conversions.

In this lesson, students explore ratios and proportional relationships, building on their prior knowledge to deepen their understanding of proportional reasoning. They will analyze proportional relationships in tables, graphs, and equations while identifying the constant of proportionality and its significance in real-world applications.

Key concepts covered in this lesson include:

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

Topic

Ratios

Description

This math clip art image is a title card for a series of math clip art images that apply equivalent ratios problems. The subsequent images show different vehicle ratios.

This image, along with the overall collection, can be used to teach ratios by comparing the number of cars to other vehicle types or parking spaces. Teachers can use this visual to introduce the concept of part-to-whole ratios, such as the ratio of cars to total vehicles, or part-to-part ratios, like comparing the number of cars to motorcycles or SUVs in subsequent images.

Topic

Ratios

Description

This math clip art image displays a table with two rows labeled "Motorcycles" and "SUVs". The numbers in the table are 1, 2, 3, 4, 5 for Motorcycles and 2, 4, 6, 8, 10 for SUVs. This visual representation is crucial for teaching the concept of equivalent ratios using a different set of vehicles.

This is a collection of clip art images that show equivalent ratios based on numbers of vehicles.

Topic

Ratios

Description

This math clip art image showcases a red car in a parking garage with numbered pillars in the background. The caption "40 Cars" provides context for the ratio concept being illustrated. This image is part of a series designed to teach equivalent ratios using vehicles as a relatable subject matter.

Topic

Ratios

Description

This math clip art image depicts a red motorcycle in a parking garage with numbered pillars in the background. The caption "10 Motorcycles" provides essential information for understanding ratios in the context of vehicles. This image is part of a series designed to teach equivalent ratios using different types of vehicles.

Topic

Ratios

Description

This math clip art image showcases a black SUV in a parking garage with numbered pillars in the background. The caption "20 SUVs" provides crucial information for understanding ratios in the context of different vehicle types. This image is part of a series designed to teach equivalent ratios using various vehicles as relatable examples.

Topic

Ratios

Description

This math clip art image displays a parking garage background with a sign showing the ratio of cars to motorcycles. The ratio is presented as 40:10 and then simplified to 4:1. This visual representation is crucial in teaching the concept of equivalent ratios and ratio simplification.

Topic

Ratios

Description

This math clip art image presents a table showing equivalent ratios of cars to motorcycles. The table displays five pairs of values: 4:1, 8:2, 12:3, 16:4, and 20:5. This visual representation is instrumental in teaching the concept of equivalent ratios and how they scale up while maintaining the same proportional relationship.

Topic

Ratios

Description

This math clip art image presents a graph plotting ratio pairs with cars on the x-axis and motorcycles on the y-axis. The points (4, 1), (8, 2), (12, 3), (16, 4), and (20, 5) are plotted on the coordinate plane. This visual representation is crucial in teaching the concept of equivalent ratios and their graphical interpretation.

Topic

Ratios

Description

This math clip art image presents another graph plotting the same ratio pairs as before, but with a line connecting them to show the linear relationship. This visual representation is crucial for teaching the concept of equivalent ratios and their graphical interpretation in a more comprehensive manner.

Topic

Ratios

Description

This math clip art image presents a table with two rows labeled "SUVs" and "Cars". The numbers in the table are 1, 2, 3, 4, 5 for SUVs and 2, 4, 6, 8, 10 for Cars. This visual representation is essential for teaching the concept of equivalent ratios in a tabular format.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.