5E Lesson

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 »

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What Does That Look Like?

Volumes with Known Cross Sections

- 11th - 12th

- AP Calculus

- Mathematics

- G.3D.1.1, G.3D.1.2

120 minutes

2-3 class period(s)

5E Lesson

In this lesson, students explore concepts of area, surface area and volume while engaging in hands-on construction of origami boxes that they make from a single "strip" of paper. Okay, it isn't technically a strip of paper; but, in any case, students will learn how to build a box and analyze it from... Read more »

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Things To Do with a Strip of Paper: Origami Boxes

Area, Surface Area, and Volume

- 6th - 10th

- Geometry, Middle School Mathematics

- Mathematics

- G.3D.1.1, 6.CS.D, 7.CS.D, 8.CS.D, L1.CS.D

150 minutes

2-3 class period(s)

5E Lesson

Translations, Reflections, & Trapezoids

- 6th - 10th

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 »

5E Lesson
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Things to Do with a Strip of Paper: Hexaflexagons

Translations, Reflections, & Trapezoids

- 6th - 10th

- Geometry, Middle School Mathematics

- Mathematics

- 6.GM.4.1, 6.GM.4.2, 7.GM.2.1

100 minutes

2-3 class period(s)

5E Lesson

Math Trails: Area, Surface Area, and Volume

Math trails are explorations where students can go outside the class to engage in meaningful mathematical tasks. In this lesson, students will explore a virtual math trail on the University of Oklahoma's Norman campus to engage in spatial reasoning and estimation. Read more »

5E Lesson
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The Ol' Dusty Trail

Math Trails: Area, Surface Area, and Volume

- Middle School Mathematics

- Mathematics

- G.3D.1.1, G.3D.1.2

150 minutes

3-4 class period(s)

5E Lesson

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 »

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That's Low, Fo' Drizzle

Measures of Central Tendency

- 6th - 8th

- Middle School Mathematics

- Mathematics

- 6.D.1.2, 7.D.1.1, 7.D.1.2, PA.D.1.2

90 minutes

2-3 class period(s)

5E Lesson

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 »

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Take it to the Limit!

Limits Toward Infinity in Rational Functions

- 12th Grade

- AP Calculus

- Mathematics

- PK.S, M.1, M.2, M.3, M.4, M.5, M.6, K.PS2

100 minutes

2-3 class period(s)

5E Lesson

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 »

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Measuring Borders

Convergent and Divergent Series

- 11th - 12th

- Algebra 2, Precalculus

- Mathematics

- CCSS.Math.Content.HSF-BF.A.2, CCSS.Math.Content.HSF-BF.A.2

60 minutes

1-2 class period(s)

5E Lesson

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 »

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Making Connections

Connecting Functions and Their Derivatives

- 12th Grade

- AP Calculus

- Mathematics

- FUN-4, FUN-4.A, FUN-4.A.11

2-3 class periods

95-135 minutes

5E Lesson

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 upon that knowledge in order for students... Read more »

5E Lesson
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I Sub, U-Sub, We All Sub Again

Integration: U-Subsitution, Part 2

- 12th Grade

- AP Calculus

- Mathematics

- PK.S, M.1, M.2, M.3, M.4, M.5, M.6, K.PS2

75 minutes

2-3 class period(s)

5E Lesson

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 »

5E Lesson
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I Sub, U-Sub, We All Sub

Integration: U-Subtitution, Part 1

- 12th Grade

- AP Calculus

- Mathematics

- M.5, M.6

75 minutes

1-2 class period(s)