LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 3

Geometry - The learner will understand and use properties and relationships in geometry.

Objective 3.02

Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.

Resources aligned to this objective

Problem-centered lesson on the Pythagorean Theorem
This lesson is designed to help students give meaning to solving problems using the Pythagorean Theorem in a useful and meaningful situation.
Format: lesson plan (grade 8 Mathematics)
By Brent Bustle.
Mirror, mirror on the ground!
In this lesson, students will use their knowledge of similar triangles and indirect measurement to measure the heights of various objects.
Format: lesson plan (grade 8 Mathematics)
By Denise Corbett.
Measuring pots
In Intrigue of the Past, page 2.7
Students will use an activity sheet or modern pottery rim sherds to compute circumference from a section of a circle and construct analogies based on their own experience about possible functions of ancient or historic ceramics.
Format: lesson plan (grade 8 Mathematics and Social Studies)
Giving meaning to volume and surface area
This lesson is designed to help students give meaning to volume and surface area by solving problems using a meaningful situation rather than formulas.
Format: lesson plan (grade 8 Mathematics)
By Grayson Wheatley.
Fire in Pythagorville: Problem-centered lessons
Students will work on problem-centered lessons which use the application of the Pythagorean theorem to put out a fire in the fictional town of Pythagorville.
Format: lesson plan (grade 8 Mathematics)
By Kelly Crisp.
Dear Tootsie Roll company
The students will measure the surface area and wrapper area of five pieces of candy. Using appropriate formulas and measuring techniques, they will complete information needed for a spreadsheet and database. Students wrap up the lesson by writing a letter to the company with the most wasted paper to explain how the waste affects them as consumers and a suggestion for correcting the problem.
Format: lesson plan (grade 8 English Language Arts and Mathematics)
By Tonya Thompson.
Building a paper bridge: An introduction to problem solving
This activity allows the student to explore problem solving strategies while working with a partner. This activity (building a paper bridge), requires students to question word definition and the application of those definitions. Through problem solving strategies, students discover the need for applying math skills.
Format: lesson plan (grade 8 Mathematics)
By Steve Walston.

Resources on the web

Understanding the Pythagorean relationship using interactive figures
This activity presents one dynamic version of a demonstration of the pythagorean theorem. (Learn more)
Format: lesson plan (grade 8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Polygon capture: A geometry game
In this lesson, from Illuminations, students classify polygons according to more than one property at a time. They move from a simple description of shapes to an analysis of how properties are related, all in the context of an enjoyable game. (Learn more)
Format: lesson plan (grade 7–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Patterns and functions
In this lesson, students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensional shapes. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Mathematical proofs
Students explore the nature of mathematical proofs and mathematical inquiry. (Learn more)
Format: lesson plan (grade 8–12 Mathematics)
Provided by: American Association for the Advancement of Science
Learning about length, perimeter, area, and volume of similar objects using interactive figures: Side length and area of similar figures
This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. (Learn more)
Format: lesson plan (grade 4–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Blue squares and beyond
In this lesson, one of a multi-part unit from Illuminations, students manipulate two rectangles to create examples of similarity and to study the effects on area ratios. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics