## Authentic Lessons for 21st Century Learning

Found 176 results |
##### Journey of the Isolated Variable, Part 3

Literal Equations

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 »

5E Lesson
##### Journey of the Isolated Variable, Part 3

Literal Equations

Course

Subject

Standards

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

Absolute Value Equations

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 »

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

Absolute Value Equations

Course

Subject

Standards

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

Functions (Domain and Range)

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 »

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

Functions (Domain and Range)

Course

Subject

Standards

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

Linear Proportionality and Representations

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 »

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

Linear Proportionality and Representations

Course

Subject

Standards

1-2 class period(s)
90 minutes
##### Law of Cosines

Triangulation and Mapping

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 »

5E Lesson
##### Law of Cosines

Triangulation and Mapping

Course

Subject

1-2 class period(s)
80-90 minutes
##### Law of Sines

AAS, ASA, SSA

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 »

5E Lesson

AAS, ASA, SSA

Course

Subject

2 class periods
80-100 minutes
##### Life Is a Bell Curve

Sampling Distribution and the Central Limit Theorem

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 »

5E Lesson
##### Life Is a Bell Curve

Sampling Distribution and the Central Limit Theorem

Related

Course

Subject

Standards

180 minutes
3-4 class period(s)
##### Life on the Campaign Trail

Systems of Equations

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 »

5E Lesson
##### Life on the Campaign Trail

Systems of Equations

Course

Subject

Standards

180 minutes
3-4 class period(s)
##### Look Up: Discovering Lines

Parallel, Perpendicular, Vertical, and Horizontal Lines

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 »

5E Lesson
##### Look Up: Discovering Lines

Parallel, Perpendicular, Vertical, and Horizontal Lines

Course

Subject

Standards

90 minutes
1-2 class period(s)
##### Looking Between the Lines

Parallel Lines, Transversal Lines, and Angles

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 »

5E Lesson
##### Looking Between the Lines

Parallel Lines, Transversal Lines, and Angles

Course

Subject

Standards

2 Periods
120 Minutes
##### Make It Fit

Calculus Optimization

In this lesson, students will explore the calculus concepts of optimization and learn to increase their ability to identify, to model, and to 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... Read more »

5E Lesson
##### Make It Fit

Calculus Optimization

Related

Course

Subject

Standards

180 minutes
3-4 class period(s)
##### Making Connections

Connecting Functions and Their Derivatives

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 »

5E Lesson
##### Making Connections

Connecting Functions and Their Derivatives