**Title:** Painting the Pyramids

**Description:**
The students will find the area of each two dimensional figure on a net of a square pyramid. In groups, students will cut out the net and create a square pyramid. Groups will then discuss how to find the lateral area and the total surface area of the solid.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics (6 - 7)

**Title:**Painting the Pyramids

**Description:**The students will find the area of each two dimensional figure on a net of a square pyramid. In groups, students will cut out the net and create a square pyramid. Groups will then discuss how to find the lateral area and the total surface area of the solid. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** What Shape Are You?

**Description:**
In this lesson, students will read "The Greedy Triangle" by Marilyn Burns, participate in class activities to classify two- and three-dimensional shapes, produce a powerpoint describing a chosen shape, and make a picture of themselves as one of the shapes.
**Standard(s): **

[MA2015] (8) 19: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. [8-G4]

**Subject:**Mathematics (7 - 8), or Technology Education (6 - 8)

**Title:**What Shape Are You?

**Description:**In this lesson, students will read "The Greedy Triangle" by Marilyn Burns, participate in class activities to classify two- and three-dimensional shapes, produce a powerpoint describing a chosen shape, and make a picture of themselves as one of the shapes.

**Title:** Creating a Water Tank - Part II "Selling the Tank"

**Description:**
Working in groups of 4-5 students will take the information,pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics (7 - 12), or Technology Education (9 - 12)

**Title:**Creating a Water Tank - Part II "Selling the Tank"

**Description:**Working in groups of 4-5 students will take the information,pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.

**Title:** Cubes Everywhere

**Description:**
In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. Students are given the opportunity to build and take apart structures based on cubes.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics

**Title:**Cubes Everywhere

**Description:**In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. Students are given the opportunity to build and take apart structures based on cubes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Exploring the Isometric Drawing Tool

**Description:**
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. They explore polyhedra using different representations and perspectives.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Exploring the Isometric Drawing Tool

**Description:**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. They explore polyhedra using different representations and perspectives.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Building Using the Front-Right-Top View

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore drawing the front-right-top view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the front-right-top view.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Building Using the Front-Right-Top View

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore drawing the front-right-top view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the front-right-top view.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Do They Match?

**Description:**
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. They also determine what possible shapes might have the same isometric drawing and explain their reasoning.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Do They Match?

**Description:**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. They also determine what possible shapes might have the same isometric drawing and explain their reasoning.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Finding Surface Area and Volume

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

[MA2015] GEO (9-12) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. *Use dissection arguments, Cavalieri's principle, and informal limit arguments.* [G-GMD1]

**Subject:**Mathematics

**Title:**Finding Surface Area and Volume

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

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Mat Plans

**Description:**
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.
**Standard(s): **

[MA2015] (7) 13: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. [7-G3]

**Subject:**Mathematics

**Title:**Mat Plans

**Description:**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.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Mat Plans: Overhead

**Description:**
This reproducible transparency, from an Illuminations lesson, depicts an isometric drawing of a three-dimensional figure along with its mat plan.
**Standard(s): **

[MA2015] (7) 13: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. [7-G3]

**Subject:**Mathematics

**Title:**Mat Plans: Overhead

**Description:**This reproducible transparency, from an Illuminations lesson, depicts an isometric drawing of a three-dimensional figure along with its mat plan.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Soda Rack

**Description:**
In this lesson, one of a three-part unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics

**Title:**Soda Rack

**Description:**In this lesson, one of a three-part unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Using Cubes and Isometric Drawings

**Description:**
In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Using Cubes and Isometric Drawings

**Description:**In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Isometric Dot Paper

**Description:**
Print this isometric grid worksheet and use it to easily draw three-dimensional figures, such as cubes.
**Standard(s): **

[MA2015] (7) 13: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. [7-G3]

**Subject:**Mathematics

**Title:**Isometric Dot Paper

**Description:**Print this isometric grid worksheet and use it to easily draw three-dimensional figures, such as cubes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Isometric Drawing Tool

**Description:**
Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Isometric Drawing Tool

**Description:**Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12