Authentic Lessons for 21st Century Learning
In this lesson, students explore concepts of perimeter, area, surface area, and volume while engaging in hands-on construction of origami boxes. Students collaborate to discover the formulas for volume and surface area. Then students listen to a civil engineer and learn how he uses volume and surface... Read more »
Created by: Cacey Wells
Date Updated: June 7th, 2023
Surface Area and Volume of Rectangular Prisms
In this lesson, students will learn the relationship between position, velocity, speed, and acceleration to solve real-world problems involving motion along a line. Students are expected to know the chain rule and how to find higher-order derivatives for both power and trigonometric functions before... Read more »
Created by: Cacey Wells
Date Updated: March 17th, 2023
Connecting Position, Velocity, and Acceleration
Students will create three-dimensional representations of volumes with known cross sections in order to better understand what the solids look like and to better calculate volume. Read more »
Created by: Cacey Wells
Date Updated: June 22nd, 2023
Volumes With Known Cross Sections
Translations, Reflections, & Trapezoids
In this lesson, students will create and explore mathematics found in hexaflexagons. This includes learning more about translations, rotations, and reflections of polygons, showing how these types of transformations preserve congruency, and learning to calculate area of trapezoids and composite figures. Read more »
Created by: Cacey Wells
Date Updated: November 17th, 2022
Translations, Reflections, & Trapezoids
In this lesson, students will look at phenomena using a weather simulation in order to learn more about descriptive statistics and measures of central tendency. The lesson focuses on extreme weather in different parts of the United States. Read more »
Created by: Cacey Wells
Date Updated: November 9th, 2022
Measures of Central Tendency
In this lesson, students will explore the puzzling ideas behind Grandi's series in order to construct an idea of how the sum of an infinite number of terms in a sequence can be evaluated. After exploring Grandi's series, students take a closer look at limits of rational functions as their values of... Read more »
Created by: Cacey Wells
Date Updated: November 9th, 2022
Limits Toward Infinity in Rational Functions
Students will explore what happens when one measures a "rough" object using different units of measure. This lesson is adapted from Benoit Mandelbrot's famous problem, "Measuring the Coastline of Britain." Students will learn about the concepts of convergent and divergent series and the paradoxical... Read more »
Created by: Cacey Wells
Date Updated: October 2nd, 2023
Convergent and Divergent Series
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 »
Created by: Cacey Wells
Date Updated: January 4th, 2023
Connecting Functions and Their Derivatives
This lesson is a follow-up to I Sub, U-Sub, We All Sub. In the previous lesson, students worked with the teacher to create an anchor chart of what "worked" and what "didn't work" for anti-differentiating derivatives of functions. The goal of this lesson is to build on that knowledge in order for students... Read more »
Created by: Cacey Wells
Date Updated: January 25th, 2023
Integration: U-Subsitution, Part 2
This lesson builds on students' prior knowledge of basic integration techniques in calculus. The purpose of this lesson is to allow students to explore how to "undo" a function's derivative that was found using the chain rule. The chain rule is a derivative technique that allows students to find derivatives... Read more »
Created by: Cacey Wells
Date Updated: January 25th, 2023
Integration: U-Subtitution, Part 1
