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

Antebellum North Carolina
In this lesson students will examine pictures & documents relating to the Hayes Plantation (Edenton, NC). Students will also use various maps of North Carolina to help them analyze how James Cathcart Johnston (owner of Hayes Plantation) used, modified and adapted to the physical environment of Edenton.

Students will decipher original manuscripts from the Southern Historical Collection at UNC-Chapel Hill Campus and draw conclusions about antebellum society in North Carolina with regard to reform movements and the history and status of blacks.

From a list of volumes found in the Hayes Plantation Library exhibit at the North Carolina Collection Gallery, students will determine what catagories of books were most prevalent in the library and hypothesize as to why those types of books would be so important to an antebellum plantation owner.

Click Here to access Photographs & documents relating to this lesson plan.
Format: lesson plan (grade 8 English Language Arts, Social Studies, and Mathematics)
By cissy o'neal.
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 English Language Arts and Mathematics)
By Steve Walston.
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, Computer Technology Skills, and Mathematics)
By Tonya Thompson.
Discovering Perimeters
By using string, students will discover a formula for finding the perimeter of a rectangle.
Format: lesson plan (grade 6–12 Mathematics)
By Jenny Crumpler.
An "Eggs"traordinary Sculpture
This lesson uses a sculpture located at the North Carolina Zoological Park as the springboard for an inquiry involving eggs and egg-layers. Several measurements and calculations are incorporated. A visit to the NC Zoological Park is preferred.
Format: lesson plan (grade 8 English Language Arts, Visual Arts Education, Computer Technology Skills, and Mathematics)
By Eddie Hamblin.
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.
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.
Interior design: Designing my dream room
Students will study interior design as a profession. They will integrate their study with math, writing, vocational education, and computer skills by designing their own dream bedroom.
Format: lesson plan (grade 6–8 English Language Arts, Visual Arts Education, Computer Technology Skills, and Mathematics)
By Paula Hightower.
Measuring pots
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 Social Studies and Mathematics)
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.
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.

Lesson plans on the web

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)
Provider: National Council of Teachers of Mathematics
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)
Provider: 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)
Provider: American Association for the Advancement of Science
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)
Provider: 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)
Provider: National Council of Teachers of Mathematics
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)
Provider: National Council of Teachers of Mathematics