Mathematics — Grade 7

Surface area of rectangular prisms

In CareerStart lessons: Grade seven, page 2.5

In this lesson for grade seven, students calculate the surface area of flattened cardboard boxes and discuss how the concept of surface area is important in various careers.

Format: lesson plan (grade 7 Mathematics)

By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.

Post-EOG activities: Student products

In this project, students will become entrepreneurs. They will have a business that makes items with 3-dimensional shapes. They will receive various tasks that will require that they make decisions as any other business owner would have to do.

Format: lesson plan (grade 7 Mathematics)

By Geneva Williams.

Investigating surface area

This is a hands on lesson best used to introduce geometry students to 3-dimensional figures. Students will have the opportunity to draw 3-dimensionally and create collapsible figures which can be used to develop the standard surface area formulas.

Format: lesson plan (grade 7 Mathematics)

By Jennifer Bronzini.

Geometry charades

The students will physically act out and demonstrate the meanings of various given geometric terms.

Format: lesson plan (grade 7 Mathematics)

Resources on the web

When is a cube not a cube?

Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)

Format: lesson plan (grade 6–8 Mathematics)

Provided by: National Council of Teachers of Mathematics

Some “Escher” drawings

Students explore polyhedra using different representations and perspectives for three dimensional block figures. (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

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

The plus sign and triangle

In this lesson, students explore the concepts of identity, inverse, commutativity, and associativity. (Learn more)

Format: lesson plan (grade 6–8 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

Moving cubes

Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)

Format: lesson plan (grade 6–8 Mathematics)

Provided by: National Council of Teachers of Mathematics

Mat Plans

Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)

Format: lesson plan (grade 6–8 Mathematics)

Provided by: 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)

Provided by: 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)

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 surface area and volume

In this lesson, one of a multi-part unit from Illuminations, students use an isometric drawing tool to build three-dimensional figures and then find the surface area and volume of each figure. (Learn more)

Format: lesson plan (grade 7–8 Mathematics)

Provided by: 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)

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 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)

Provided by: National Council of Teachers of Mathematics