Authentic Lessons for 21st Century Learning

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Journey of the Isolated Variable, Part 3

Literal Equations

Grade Level Grade Level

This lesson is Part 3 of "Journey of the Isolated Variable," a four-part lesson series on solving different types of equations. In this lesson, students will build on the equation-solving knowledge they gained in Parts 1 and 2 in order to solve literal equations. Read more »

Lesson 5E Lesson

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 120 minutes
Time Frame 2-3 class period(s)
Journey of the Isolated Variable, Part 4

Absolute Value Equations

Grade Level Grade Level

In this lesson, students will build on their prior knowledge of solving equations to learn how to solve absolute value equations. Students will then compare and contrast the four types of equations: two-step, multi-step, literal, and absolute value equations. This is the fourth lesson of four in the... Read more »

Lesson 5E Lesson
Journey of the Isolated Variable, Part 4

Absolute Value Equations

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 120 minutes
Time Frame 2-3 class periods
Junk Food Junction: What's Your Function?

Functions (Domain and Range)

Grade Level Grade Level

This lesson breaks down the components of a function through the metaphor of a function "machine." Students will design their own function vending machines, identify the products they will sell and the prices of those products, and evaluate each others' machines to build a function from the information... Read more »

Lesson 5E Lesson
Junk Food Junction: What's Your Function?

Functions (Domain and Range)

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 70 minutes
Time Frame 1-2 class period(s)
Keep on Moving! It's About the Climb

Linear Proportionality and Representations

Grade Level Grade Level

This lesson is intended to introduce and reinforce how proportional relationships are displayed in graphs and tables. Students will need a basic understanding of graphing and will apply that knowledge to calculating rates based on scenarios. Read more »

Lesson 5E Lesson
Keep on Moving! It's About the Climb

Linear Proportionality and Representations

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 1-2 class period(s)
Time Frame 90 minutes
Law of Cosines

Triangulation and Mapping

Grade Level Grade Level

This is a lesson for Law of Cosines, which also connects Law of Sines and Law of Cosines to map triangulation. Students will receive a brief introduction to Trig Pillars: a tool used in the United Kingdom in the mid-20th century to help with mapmaking. Then, they will go through an informal proof of... Read more »

Lesson 5E Lesson
Law of Cosines

Triangulation and Mapping

Grade Level Grade Level

Course Course

Subject Subject

More 1-2 class period(s)
Time Frame 80-90 minutes
Law of Sines

AAS, ASA, SSA

Grade Level Grade Level

In this lesson, students will discover how a given side, side, and angle could result in 0, 1, or 2 triangles. They will then learn the Law of Sines and use it to find missing side lengths and angle measures. This lesson is intended to be taught before the Law of Cosines lesson and after students learn... Read more »

Lesson 5E Lesson
Law of Sines

AAS, ASA, SSA

Grade Level Grade Level

Course Course

Subject Subject

More 2 class periods
Time Frame 80-100 minutes
Life Is a Bell Curve

Sampling Distribution and the Central Limit Theorem

Grade Level Grade Level

In this lesson, students will explore the concepts of sampling distributions and the central limit theorem through hands-on activities and practical application in the Deadly Distribution digital game-based learning (DGBL) module. Read more »

Lesson 5E Lesson
Life Is a Bell Curve

Sampling Distribution and the Central Limit Theorem

Tag Related

Grade Level Grade Level

Course Course

Subject Subject

Copied To Clipboard Standards

More 180 minutes
Time Frame 3-4 class period(s)
Life on the Campaign Trail

Systems of Equations

Grade Level Grade Level

This lesson will teach students about solving systems of linear equations by focusing on variables that play a role in political campaign management. Students will experience the connection between algebra and careers through a virtual “Career Zoom” interview with a campaign manager, then create their... Read more »

Lesson 5E Lesson
Life on the Campaign Trail

Systems of Equations

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 180 minutes
Time Frame 3-4 class period(s)
Look Up: Discovering Lines

Parallel, Perpendicular, Vertical, and Horizontal Lines

Grade Level Grade Level

In this lesson, students will build on their knowledge of parallel lines by incorporating perpendicular, vertical, and horizontal lines. The goal is for students to understand the characteristics of different types of lines and then apply their knowledge to design a structure as an architect might.... Read more »

Lesson 5E Lesson
Look Up: Discovering Lines

Parallel, Perpendicular, Vertical, and Horizontal Lines

Course Course

Subject Subject

Grade Level Grade Level

Copied To Clipboard Standards

More 90 minutes
Time Frame 1-2 class period(s)
Looking Between the Lines

Parallel Lines, Transversal Lines, and Angles

Grade Level Grade Level

This lesson focuses on an extension of parallel lines by exploring what happens when a transversal line passes through them. The goal is for students to understand the different angles that form due to the intersection and to apply that knowledge to real-world situations. Students will be able to identify... Read more »

Lesson 5E Lesson
Looking Between the Lines

Parallel Lines, Transversal Lines, and Angles

Course Course

Subject Subject

Grade Level Grade Level

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More 2 Periods
Time Frame 120 Minutes
Make It Fit

Calculus Optimization

Grade Level Grade Level

In this lesson, students will explore the calculus concepts of optimization and learn to increase their ability to identify, model, and set up functions to solve calculus word problems, focusing on the conceptual understanding over calculations. This is done through a mix of activities and by playing... Read more »

Lesson 5E Lesson
Make It Fit

Calculus Optimization

Tag Related

Grade Level Grade Level

Course Course

Subject Subject

Copied To Clipboard Standards

More 180 minutes
Time Frame 3-4 class period(s)
Making Connections

Connecting Functions and Their Derivatives

Grade Level Grade Level

The goal of this lesson is to help students understand the relationships between a function and its first and second derivatives. Students will analyze graphs recalling their knowledge of sketching graphs by hand using the first and second derivatives and apply their graphical knowledge verbally through... Read more »

Lesson 5E Lesson
Making Connections

Connecting Functions and Their Derivatives

Grade Level Grade Level

Course Course

Subject Subject

Copied To Clipboard Standards

More 2-3 class periods
Time Frame 95-135 minutes