Authentic Lessons for 21st Century Learning

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Brittany VanCleave

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The Great Domain

Domain and Range of Various Functions

Grade Level Grade Level

  • 10th - 12th

This lesson focuses on the relationship between an equation and the domain or range of a function. The goal is for students to understand how to recognize and analyze the domain and range of different functions by their properties. Students will be able to solve for domain and range based on the graph... Read more »

Lesson 5E Lesson
The Great Domain

Domain and Range of Various Functions

Grade Level Grade Level

  • 10th - 12th

Course Course

  • Algebra 2, Pre-Calculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • A2.F.1.1
More 2 Periods
Time Frame 120 Minutes
Looking Between the Lines

Parallel Lines, Transversal Lines, and Angles

Grade Level Grade Level

  • 10th Grade

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

  • Geometry

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 10th Grade

Copied To Clipboard Standards

  • G.2D.1.1
More 2 Periods
Time Frame 120 Minutes
Slice of Pi

Area and Circumference of a Circle

Grade Level Grade Level

  • 10th Grade

This lesson has students explore how the properties of a circle, including area and circumference, relate to one another and to the world around them. The goal is for students to analyze the dimensions of a circle and correlate these to familiar, real-world situations. Read more »

Lesson 5E Lesson
Slice of Pi

Area and Circumference of a Circle

Course Course

  • Geometry

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 10th Grade

Copied To Clipboard Standards

  • G.C.1.1
More
Time Frame
Look Up: Discovering Lines

Parallel, Perpendicular, Vertical, and Horizontal Lines

Grade Level Grade Level

  • 9th - 10th

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

  • Algebra 1

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 9th - 10th

Copied To Clipboard Standards

  • A1.A.4.2
More 90 minutes
Time Frame 1-2 class period(s)
Journey of the Isolated Variable, Part 2

Solving Multi-Step Equations

Grade Level Grade Level

  • 8th - 9th

This lesson is Part 2 of "Journey of the Isolated Variable," a four-part lesson series on solving different types of equations. This lesson focuses on the properties of real numbers, properties of equality, and inverse operations to help students solve linear equations on a deeper level. The goal is... Read more »

Lesson 5E Lesson
Journey of the Isolated Variable, Part 2

Solving Multi-Step Equations

Course Course

  • Algebra 1, Pre-Algebra

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 8th - 9th

Copied To Clipboard Standards

  • A1.A.3.1
More 150 minutes
Time Frame 2-3 class period(s)
Walking The Line: The Math Spectrum

A Mathematical growth mindset

Grade Level Grade Level

  • 6th - 12th

This lesson focuses on eliminating the emotional fear of mathematics by allowing students to evaluate where they are on the math spectrum and identify their goals moving forward. Students explore math concepts taught in past years and analyze their math knowledge to assess their relationship with mathematics.... Read more »

Lesson 5E Lesson
Walking The Line: The Math Spectrum

A Mathematical growth mindset

Grade Level Grade Level

  • 6th - 12th

Course Course

  • Algebra 2, Geometry, Middle School Mathematics, Pre-Calculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • M.1, M.4, K.PS2
More 90 minutes
Time Frame 1-2 class period(s)
Memes > GIFs

Inequalities With One Variable

Grade Level Grade Level

  • 7th - 8th

This lesson focuses on the relationship between a set of numbers and the constraints of the inequality. The goal is to find possible solutions for one-variable inequalities. Students will write, graph, and identify solutions of inequalities and connect them back to real-world scenarios when applicable.... Read more »

Lesson 5E Lesson
Memes > GIFs

Inequalities With One Variable

Course Course

  • Middle School Mathematics, Pre-Algebra

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 7th - 8th

Copied To Clipboard Standards

  • 7.A.3.3, PA.A.4.3
More 90 minutes
Time Frame 1-2 class period(s)
Hold the Line... or Don't

Linear vs. nonlinear functions

Grade Level Grade Level

  • 8th - 9th

This lesson invites students to see linear and nonlinear functions—here, represented by tables, graphs, and equations—in a real-world context. Students will work to find relationships between real-world data points based on the situation at hand. Students will also identify linear and nonlinear relationships,... Read more »

Lesson 5E Lesson
Hold the Line... or Don't

Linear vs. nonlinear functions

Course Course

  • Algebra 1, Pre-Algebra

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 8th - 9th

Copied To Clipboard Standards

  • PA.A.1.3, A1.F.1.4, A1.F.2.1
More 70 minutes
Time Frame 1-2 class period(s)
Junk Food Junction: What's Your Function?

Functions (Domain and range)

Grade Level Grade Level

  • 8th - 9th

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

  • Algebra 1, Pre-Algebra

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 8th - 9th

Copied To Clipboard Standards

  • PA.A.1.1, A1.F.1.2
More 70 minutes
Time Frame 1-2 class period(s)
Popcorn > Raisinets

Inequalities with two variables 

Grade Level Grade Level

  • 9th Grade

This lesson is an extension of the Memes > GIFs lesson in that it adds a second variable to the equation. The goal is to understand and find possible solutions for two-variable inequalities. Students will translate real-life problems into linear equations or inequalities and solve. They will also write,... Read more »

Lesson 5E Lesson
Popcorn > Raisinets

Inequalities with two variables 

Course Course

  • Algebra 1

Subject Subject

  • Mathematics

Grade Level Grade Level

  • 9th Grade

Copied To Clipboard Standards

  • A1.A.2.1, A1.A.2.3
More 90 minutes
Time Frame 1-2 class period(s)