Authentic Lessons for 21st Century Learning
Students investigate triangle congruence and complete proofs using the theorems they verified. Read more »
Created by: K20 Center
Date Updated: August 17th, 2023
Triangle Congruence
This lesson teaches students about the golden ratio and Fibonacci numbers. The lesson focuses on finding the golden ratio in art, nature, and common objects, as well as in their own skeletal structure. Students take measurements and use calculations to identify examples of the golden ratio both inside... Read more »
Created by: Danny Mattox
Date Updated: September 26th, 2024
Fibonacci Sequence and Patterns in Nature
This lesson introduces and enforces the polygon interior angle sum theorem and the corresponding formula. This lesson does not include a proof related to the theorem, but it does have students critique a claim using the theorem as the reasoning foundation. Read more »
Created by: K20 Center
Date Updated: April 10th, 2024
Polygons and the Interior Angle Sum Theorem
Students will explore the relationships between exterior angles in regular and irregular polygons to determine the sum of exterior angles, and they will apply that knowledge to solve problems. To complete this lesson, students need to know the interior angle sum theorem. See the "Department of the Interior... Read more »
Created by: K20 Center
Date Updated: September 30th, 2024
Polygons and the Exterior Angle Sum Theorem
In this geometry lesson, students will recall vocabulary about a circle, use their knowledge of midpoint and distance formulas to write the equation of a circle, and explore the connection between the equation of a circle and the Pythagorean Theorem. This is a multimodality lesson, which means it includes... Read more »
Created by: Michell Eike
Date Updated: July 10th, 2024
Writing the Equation of a Circle
To complete this lesson, students need to know how to simplify the square root of a negative number and how to simplify i to a power.* This lesson is contained within an escape room. Students will navigate through a spaceship and, along the way, will perform operations on complex numbers so they can... Read more »
Created by: Michell Eike
Date Updated: September 10th, 2024
Operations with Complex Numbers
In this lesson, students will use their existing knowledge to find the area and perimeter of triangles, rectangles, and trapezoids to discover how to find the area of a regular polygon and apply their knowledge to real-world scenarios. Read more »
Created by: Michell Eike
Date Updated: April 3rd, 2024
Area and Perimeter of Regular Polygons
In this lesson, students will work with rational functions that have 0, 1, or 2 vertical asymptotes and 0 or 1 horizontal asymptotes. Students will explore the relationship between the equation and graph of a rational function, learn what causes different types of asymptotes, and apply their knowledge... Read more »
Created by: Michell Eike
Date Updated: May 21st, 2024
Graphing Rational Functions
In this lesson, students will discover how matrices are used in computer graphics. Students will learn how to perform the matrix operations of addition, subtraction, multiplication, and scalar multiplication. They will then learn how multiplying matrices relates to transformations and, in turn, animation... Read more »
Created by: Michell Eike
Date Updated: April 10th, 2024
Matrices in Computer Graphics
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 »
Created by: Michell Eike
Date Updated: April 3rd, 2024
AAS, ASA, SSA
In this lesson, students will discover how to determine if any three side lengths make a triangle through a GeoGebra activity. Then, students will formalize their knowledge of the Converse of the Pythagorean Theorem before applying their knowledge through a Card Matching activity and a real-world scenario. Read more »
Created by: Lydia Baker
Date Updated: April 10th, 2024
Converse of the Pythagorean Theorem and Inequality Theorems
In this lesson, students will explore the culture of Native Americans and their beadwork. They will then use patterns to explore dilations and discover the relationship between the center of dilation, the preimage, and the image. Students will apply what they have learned to create their own beadwork... Read more »
Created by: Michell Eike
Date Updated: December 13th, 2023
Dilations: Beadwork
In this lesson, students practice adding and subtracting polynomial expressions. They watch a video about a complicated food order and discuss the idea of combining like items to simplify the order. Students use math manipulatives to explore how to use addition and subtraction to simplify polynomial... Read more »
Created by: Samaya Williams
Date Updated: July 18th, 2024
Adding and Subtracting Polynomials