Illustrative Math Alignment: Grade 6 Unit 3

In this engaging Grade 7 math lesson, students will explore how to recognize and analyze proportional relationships. Using tables and graphs, learners will determine whether two quantities are proportional and identify the constant of proportionality. This lesson aligns with Common Core Standard 7.RP.A.2 and helps students build foundational skills in ratio and proportion concepts.

Topics covered include:

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Lesson Plan: Representing Proportional Relationships

In this lesson, students will explore different ways to represent proportional relationships using tables, graphs, and equations. They will analyze proportional relationships in real-world contexts and learn how to determine the constant of proportionality. The lesson emphasizes how proportional relationships appear as linear functions that pass through the origin when graphed.

Students will practice:

In this lesson, students will develop their problem-solving skills by tackling multi-step ratio and proportion problems. They will learn how to analyze complex ratio scenarios, apply proportional reasoning, and use unit conversions to solve real-world problems. This lesson builds on students' understanding of ratios and proportions, reinforcing their ability to work through multi-step calculations with confidence.

Key concepts covered in this lesson include:

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:

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:

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:

In this lesson, students will develop their problem-solving skills by learning multiple strategies for solving percent problems. Using proportions and equations, they will calculate percent increase, percent decrease, discounts, taxes, commissions, and simple interest. This lesson builds on proportional reasoning skills and applies them to real-world financial and mathematical situations.

Key concepts covered in this lesson include:

In this lesson, students will explore how to represent and analyze proportional relationships using graphs, tables, and equations. They will learn that proportional relationships follow the equation $y = kx$, where $k$ is the constant of proportionality, and that these relationships always form a straight line passing through the origin on a coordinate plane.

Key concepts covered in this lesson include:

In this lesson, students will explore how to represent and analyze proportional relationships using graphs, tables, and equations. They will learn that proportional relationships follow the equation $y = kx$, where $k$ is the constant of proportionality, and that these relationships always form a straight line passing through the origin on a coordinate plane.

Key concepts covered in this lesson include:

In this lesson, students will explore direct variation, a special type of proportional relationship where one variable is a constant multiple of another. They will learn how to identify direct variation in tables, graphs, and equations, determine the constant of variation ($k$), and understand how direct variation relates to linear functions.

Key concepts covered in this lesson include:

In this lesson, students will explore direct variation, a special type of proportional relationship where one variable is a constant multiple of another. They will learn how to identify direct variation in tables, graphs, and equations, determine the constant of variation ($k$), and understand how direct variation relates to linear functions.

Key concepts covered in this lesson include:

In this lesson, students explore the properties of parallel and perpendicular lines in coordinate geometry. They will learn how to identify these lines based on their slopes, determine equations for parallel and perpendicular lines, and apply these concepts to solve real-world and mathematical problems.

Key concepts covered in this lesson include:

This collection of clip art images includes images of 3D figures and composite figures.

This collection of clip art images includes images of 3D figures and composite figures.

This collection of clip art images includes images of 3D figures and composite figures.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.