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

Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides.

Resources aligned to this objective

Fun with Angles
This lesson plan will help the students visualize the different angles (corresponding, alternate interior, and same-side interior) when coplanar lines are cut by a transversal.
Format: lesson plan (grade 7–8 Mathematics)
By Teachers Connect.
Translations, Reflections, Rotations
This lesson will allow students to explore translations, reflections, and rotations using a resource of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop Interactivate Your Math Students. Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation. (Italics are a direct quote from Shodor.org.)
Format: lesson plan (grade 6–8 Mathematics)
By Deborah Bourne.

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
Building a box
This Illuminations lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Covering the Plane with Rep-Tiles
Students discover and explore a special kind of tiling of the plane. (Learn more)
Format: lesson plan (grade 5–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Creating A firewise defensible space
In this lesson, one of a multi-part unit from Illuminations, students learn about creating defensible space around a home using a series of fire protection zones. Students then draw the zones that surround a house and estimate the area of each zone. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Do they match?
In this lesson, one of a multi-part unit from Illuminations, students use three dimensional figures they have constructed to determine when two isometric drawings can represent the same shape. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Exploring histograms
In this lesson, from Illuminations, students create their own sets of data using an interactive data analysis tool. They then examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Exploring the isometric drawing tool
In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Fill'r up
In this lesson, one of a multi-part unit from Illuminations, students can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships between edge lengths and volumes. (Learn more)
Format: lesson plan (grade 7–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Finding satisfactory solutions
Students apply creative solutions to problem solving in the context of a story problem. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: American Association for the Advancement of Science
Finding the area of irregular figures
In this lesson, one of a multi-part unit from Illuminations, students estimate the areas of highly irregular shapes and use a process of decomposition to calculate the areas of irregular polygons. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Finding the area of trapezoids
In this lesson, one of a multi-part unit from Illuminations, students discover the area formula for trapezoids and explore alternative methods for calculating the area of a trapezoid. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Go with green rectangles
In this lesson, one of a multi-part unit from Illuminations, students manipulate 2-dimensional rectangles using an online interactive applet. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
How steep can you be?
In this lesson, one of a multi-part unit from Illuminations, students consider the construction of a tool that will measure percent slope. (Learn more)
Format: lesson plan (grade 6–7 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
Mat plans
In this lesson, one of a multi-part unit from Illuminations, students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan. (Learn more)
Format: lesson plan (grade 7 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
Purple Prisms
In this lesson, one of a multi-part unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Understanding congruence, similarity, and symmetry using transformations and interactive figures: Visualizing transformations
The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics