Math Instructional Strategies: Geometry

This collection of resources was produced by KET for adult educators. Videotaped segments taken in actual classroom settings provide examples of strategies for teaching geometry in the adult education classroom.

In these segments, learners are active participants in the lessons, often collaborating in small groups to find measurements for area, perimeter, missing dimensions, and compound shapes. You will also find techniques for moving learners from concrete to abstract methods of solution.

While some lessons are presented in traditional lecture-based style, most feature an inquiry-based approach.

• Lecture-Based: Concept Introduction

In this video, adult education professor Betsy Popple introduces the geometric concept of area. Learners have difficulty in differentiating between the concept of area and perimeter, so Popple spends a few moments clarifying these terms.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry Based: Concept Introduction

In this video, viewers observe as adult education professor Betsy Popple, following an inquiry-based instruction model, introduces the main concepts of the day’s lesson on area. She frequently calls upon learners to fill in information, inviting them to investigate their own prior knowledge and understanding of the concept to answer her questions. Learners take ownership and feel a sense of pride mastering this lesson on area as they understand that there is more than one way of looking at a problem.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Summarize

In this video, viewers watch as adult education professor Betsy Popple uses inquiry-based instruction strategies and examines the various methods her learners have used to find the area of a space. She asks them to summarize for the class the best methods to solve the problem. This helps the learners see that multiplication is the most efficient method to find the area of a rectangle.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Teaching Kickoff

In this video, adult education professor Betsy Popple follows an inquiry-based instruction model to introduce the geometry concept of area. She invites learners to follow whatever method they wish and work together to solve the problem.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Formula Connection

In this video, viewers witness adult education professor Betsy Popple as she facilitates a discussion focused on building an understanding of the geometric formula for area of a rectangle.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Partner Practice

In this video, instructor Betsy Popple facilitates as learners work together on a practice problem that involves the formula for the area of a rectangle. Sharing knowledge and helping each other through the process reduces the stress a learner might feel on his or her own.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

In this video, viewers witness adult education professor Betsy Popple as she leads an investigation into learners' results from solving a practice problem on calculating the area of a square. Learners relate their answers, and the class evaluates to find the right answer.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Transfer: Practice Problems

In this video, viewers observe the technique of guided practice as small groups of learners find the areas of compound figures. Guided practice, either in small groups or individually, can increase concept understanding and retention. The instructor's role during guided practice is to allow learners to be challenged and even to struggle, providing guidance only when learners veer into misconception.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Lecture-Based: Independent Practice

Learners find the area of a compound shape independently, then review their answers.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Lecture-Based: Direct Teaching

In this video, Adult education professor Betsy Popple initiates her process of direct instruction, speaking from the front of the room as she introduces finding the area of a compound shape.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Extended Thinking

In this classroom example, adult education professor Betsy Popple leads an activity where learners work cooperatively to build their understanding of the lesson’s basic concept—the area of a space. Learners must use what they have just learned about the area of a rectangle to compose and decompose a compound shape and find its area.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Independent Practice

In this video, instructor Betsy Popple helps her students learn the common core standard of finding areas of rectilinear figures by decomposing them into non-overlapping triangles.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Lecture-Based: Guided Practice 2

In this video, viewers watch Betsy Popple assist learners work through problems calculating the area of compound rectilinear shapes using lecture based instruction.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Lecture-Based: Skills Practice 1

In this video, adult education professor Betsy Popple gives her learners a few minutes to work through several practice problems following a lecture-based lesson. Learners independently practice finding the area of compound rectilinear shapes, then review as a group.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Lecture-Based: Skills Practice 2

In this video, adult education professor Betsy Popple helps learners as they review a series of practice problems involving the perimeters and areas of compound shapes.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Transfer: Problem 2 Review

In this video, viewers watch as adult education professor Betsy Popple leads students in a review their work calculating the area of compound rectilinear shapes. The students share and evaluate each others' solutions.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Transfer: Problem 3 Review

In this video, viewers watch as adult education professor Betsy Popple leads students in a review their work calculating the area of compound rectilinear shapes. The students share and evaluate each others' solutions.

These resources are part of KET's Math Instructional Strategies: Geometry collection.

• Inquiry-Based: Transfer: Problem 4 Review

In this video, viewers watch as adult education professor Betsy Popple leads students in a review their work calculating the area of compound rectilinear shapes. The students share and evaluate each others' solutions.

These resources are part of KET's Math Instructional Strategies: Geometry collection.