LEARN NC

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

Mathematics — Grade 7

Goal 3: Geometry - The learner will understand and use properties and relationships in geometry.

Objective 3.03. Use scaling and proportional reasoning to solve problems related to similar and congruent polygons.

Additional related resources

We’re in the process of aligning our content for students to the Standard Course of Study. As we do, you’ll find it here.

General resources

Aligned lesson plans

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.

Resources on the web

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. E-Math Investigations are selected e-examples from the electronic... (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Square circles
This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Shops at the Mall
Students develop number sense in and around the shopping mall. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: National Council of Teachers of Mathematics
Finding satisfactory solutions
The purpose of this Science NetLinks lesson is to explore the creative aspects of problem solving and practice creative problem solving strategies in the context of a story problem. In this activity, students decide where to locate ice cream stands in a... (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: American Association for the Advancement of Science
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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
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