Authentic Lessons for 21st Century Learning

Pre-Calculus Calculator Lessons

Karen Scheaffer | Published: June 26th, 2025 by K20 Center

Summary

This collection of pre-calculus lessons integrates the use of calculators to support students in problem-solving and conceptual understanding.

Resources

Round and Round We Go

Relationship Between the Unit Circle and the Sine Curve

Grade Level Grade Level

  • 11th - 12th

Students will explore the rotation of a Ferris wheel and make conjectures about the function represented by the motion. Students will find and plot points in the motion and use technology to find the line of best fit. Students will also manipulate the equation for their function to discover what the... Read more »

Lesson 5E Lesson
Round and Round We Go

Relationship Between the Unit Circle and the Sine Curve

Grade Level Grade Level

  • 11th - 12th

Course Course

  • Precalculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • CCSS.Math.Content.HSF-TF.A
More 2-4 class periods
Time Frame 140 minutes
Zombie Takeover

Logistic Functions

Grade Level Grade Level

  • 10th - 12th

Students will investigate logistic functions as mathematical models of real-world situations, such as zombie outbreaks, and make comparisons with exponential growth models. Students will learn about the properties of the logistic curves and how to graph logistic functions by hand. This lesson can be... Read more »

Lesson 5E Lesson
Zombie Takeover

Logistic Functions

Grade Level Grade Level

  • 10th - 12th

Course Course

  • AP Calculus, Algebra 2, Precalculus

Subject Subject

  • Mathematics
More
Time Frame 80-105 minutes
Law of Cosines

Triangulation and Mapping

Grade Level Grade Level

  • 11th - 12th

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

  • 11th - 12th

Course Course

  • Precalculus

Subject Subject

  • Mathematics
More 1-2 class period(s)
Time Frame 80-90 minutes
Trig Identities, Part 4

Sum, Difference, and Double-Angle Identities

Grade Level Grade Level

  • 11th - 12th

Students will apply what they have learned during this lesson series—Pythagorean, sum, difference, and double-angle identities—to navigate through a pirate-themed escape room. They will look at trigonometric identities graphically and algebraically. Students will use trigonometric identities to evaluate... Read more »

Lesson 5E Lesson
Trig Identities, Part 4

Sum, Difference, and Double-Angle Identities

Grade Level Grade Level

  • 11th - 12th

Course Course

  • Precalculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • PC.T.3.1, PC.T.3.3
More 1-2 class periods
Time Frame 50-75 minutes
Edible Oasis (Precalculus)

Arc Length and Sector Area of a Circle

Grade Level Grade Level

  • 11th - 12th

Through this lesson, students will utilize math and equity to discover the equation to solve for any circle's arc length and sector area while investigating food deserts and how they impact a community. Read more »

Lesson 5E Lesson
Edible Oasis (Precalculus)

Arc Length and Sector Area of a Circle

Grade Level Grade Level

  • 11th - 12th

Course Course

  • Precalculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • PC.T.1.3
More 2-3 Class Periods
Time Frame 80-90 Minutes
Hooked on Conics

Introduction to Conic Sections

Grade Level Grade Level

  • 11th - 12th

In this lesson, students will be introduced to all four conic sections, first by manipulating light to create the conics, then by participating in a card sort to match graphs, key features, and their equations. Next, students will formalize their knowledge through a flow chart and an informational video... Read more »

Lesson 5E Lesson
Hooked on Conics

Introduction to Conic Sections

Grade Level Grade Level

  • 11th - 12th

Course Course

  • Precalculus

Subject Subject

  • Mathematics

Copied To Clipboard Standards

  • PC.CS.1.2, PC.CS.1.3, PC.CS.1.4
More 1-2 Class periods
Time Frame 95 Minutes

Standards

Common Core State Standards for Mathematics (Grades 9, 10, 11, 12)
CCSS.Math.Content.HSF-TF.A: Extend the domain of trigonometric functions using the unit circle
Oklahoma Academic Standards Mathematics (Precalculus)
PC.CS.1.2: Identify key features of conic sections (foci, directrix, radii, axes, asymptotes, center) graphically and algebraically.
PC.CS.1.3: Sketch a graph of a conic section using its key features.
PC.CS.1.4: Write the equation of a conic section given its key features.
PC.T.1.3: Find the length of an arc and the area of a sector on a circle.
PC.T.3.1: Algebraically manipulate the structure of a trigonometric expression to identify ways to rewrite it.
PC.T.3.3: Graphically and algebraically verify solutions to trigonometric equations.

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