**Title:** Nets: Message in a Box

**Description:**
In cooperative/collaborative groups, students will compare and contrast a two-dimensional pattern and a three-dimensional shape. Students will use a net to label and then construct a rectangular prism. Students will find the surface area of a rectangular prism. As a final performance task, students will create a message box.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics (6)

**Title:**Nets: Message in a Box

**Description:**In cooperative/collaborative groups, students will compare and contrast a two-dimensional pattern and a three-dimensional shape. Students will use a net to label and then construct a rectangular prism. Students will find the surface area of a rectangular prism. As a final performance task, students will create a message box.

**Title:** Grow a GEM

**Description:**
Students will grow crystals out of different substances. Students will also document and make a podcast video of the growth of their crystals. Students will make and identify different geometric shapes.
This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
**Standard(s): **

[S1] (6) 4: Explain the plate tectonic theory.

**Subject:**Mathematics (5 - 6), or Credit Recovery Science (5 - 6), or Science (5)

**Title:**Grow a GEM

**Description:**Students will grow crystals out of different substances. Students will also document and make a podcast video of the growth of their crystals. Students will make and identify different geometric shapes. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

**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:** Cutting the CHEESE

**Description:**
The students will find the area of each two dimensional figure on a net of a triangular prism. In groups, students will cut out the net and create a triangular prism. 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:**Cutting the CHEESE

**Description:**The students will find the area of each two dimensional figure on a net of a triangular prism. In groups, students will cut out the net and create a triangular prism. 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:** Nifty Nets

**Description:**
During this activity, students will create nets for prisms. They will find the volume and surface area of the shapes. They will also use interactive activities to review three-dimensional shapes.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**Subject:**Mathematics (6 - 8)

**Title:**Nifty Nets

**Description:**During this activity, students will create nets for prisms. They will find the volume and surface area of the shapes. They will also use interactive activities to review three-dimensional shapes.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** "Movin' On Up"

**Description:**
Students will use their knowledge of scale factor to enlarge a picture to scale. They will then use PhotoStory to create a collage of their pictures.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7-G1]

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

**Title:**"Movin' On Up"

**Description:**Students will use their knowledge of scale factor to enlarge a picture to scale. They will then use PhotoStory to create a collage of their pictures. This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Thinking outside the "BOX"

**Description:**
The students will find the area of each two dimensional figure on a net of a rectangular prism. In groups, students will cut out the net and create a rectangular prism. 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:**Thinking outside the "BOX"

**Description:**The students will find the area of each two dimensional figure on a net of a rectangular prism. In groups, students will cut out the net and create a rectangular prism. 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:** Ping Pong Madness

**Description:**
In this lesson, students will use their knowledge of 3D shapes to create packages for ping pong balls. They must create small, medium and large packages that are cost effective and stack easily. They will make nets of the their packages and find the volume and surface area of each. Students will present the information using a multi-media presentation and a spreadsheet software. This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics (5 - 7), or Technology Education (6 - 8)

**Title:**Ping Pong Madness

**Description:**In this lesson, students will use their knowledge of 3D shapes to create packages for ping pong balls. They must create small, medium and large packages that are cost effective and stack easily. They will make nets of the their packages and find the volume and surface area of each. Students will present the information using a multi-media presentation and a spreadsheet software. This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Golden Ratios of the Body, Architecture, and Nature

**Description:**
Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics (6 - 12), or Technology Education (9 - 12)

**Title:**Golden Ratios of the Body, Architecture, and Nature

**Description:**Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.

**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:** Are They Possible?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students examine some isometric drawings that seem to be impossible. They investigate one method that Dutch artist M.C. Escher used to create such impossible figures.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics

**Title:**Are They Possible?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students examine some isometric drawings that seem to be impossible. They investigate one method that Dutch artist M.C. Escher used to create such impossible figures.

**Thinkfinity Partner:**Illuminations

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

**Title:** Are They Possible? Overhead

**Description:**
This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures.
**Standard(s): **

[MA2015] GEO (9-12) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)

**Subject:**Mathematics

**Title:**Are They Possible? Overhead

**Description:**This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures.

**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? Overhead

**Description:**
This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of three-dimensional figures. Students determine whether the drawings in each pair represent the same shape as one another.
**Standard(s): **

[MA2015] GEO (9-12) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [G-GMD3]

**Subject:**Mathematics

**Title:**Do They Match? Overhead

**Description:**This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of three-dimensional figures. Students determine whether the drawings in each pair represent the same shape as one another.

**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:** 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:** Front-right-top Views

**Description:**
This reproducible transparency, from an Illuminations lesson, depicts an isometric drawing of a three-dimensional figure, along with its front, right, and top views.
**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:**Front-right-top Views

**Description:**This reproducible transparency, from an Illuminations lesson, depicts an isometric drawing of a three-dimensional figure, along with its front, right, and top views.

**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:** 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:** Go the Distance

**Description:**
This lesson is the fourth part of a four-part Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.''
**Standard(s): **

[MA2015] (8) 18: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. [8-G3]

**Subject:**Language Arts,Mathematics

**Title:**Go the Distance

**Description:**This lesson is the fourth part of a four-part Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.''

**Thinkfinity Partner:**Illuminations

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

**Title:** Surface Area

**Description:**
This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for computing the surface area of cylinders and rectangular prisms.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**Subject:**Mathematics

**Title:**Surface Area

**Description:**This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for computing the surface area of cylinders and rectangular prisms.

**Thinkfinity Partner:**Illuminations

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

**Title:** Unfolding 3D Figures

**Digital Tool:**
Unfold **Web Address URL:**
https://itunes.apple.com/us/app/id557099803?mt=8 **Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]**Digital Tool Description:** This paid app allows the user to investigate 63 three-dimensional shapes, including pyramids and prisms. The user can rotate the figure and unfold it to view its net.

**Title:**Unfolding 3D Figures

**Digital Tool:**Unfold

**Digital Tool Description:**This paid app allows the user to investigate 63 three-dimensional shapes, including pyramids and prisms. The user can rotate the figure and unfold it to view its net.

**Title:** How Solid are Your Skills with Geometry?

**Digital Tool:**
Geometric Solids Tool **Web Address URL:**
http://illuminations.nctm.org/ActivityDetail.aspx?ID=70 **Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]**Digital Tool Description:** The Illuminations tool called Geometric Solids is an excellent way to enhance a lesson and provide students with a deeper understanding of the properties of geometric properties. This tool will help students learn the relationships between vertices, faces, and edges. This tool can help students master finding the surface area of three-dimensional figures. This tool also demonstrates the relationship between the solid shapes and their nets, which is a skill that needs to be mastered for the ARMT.

**Title:**How Solid are Your Skills with Geometry?

**Digital Tool:**Geometric Solids Tool

**Digital Tool Description:**The Illuminations tool called Geometric Solids is an excellent way to enhance a lesson and provide students with a deeper understanding of the properties of geometric properties. This tool will help students learn the relationships between vertices, faces, and edges. This tool can help students master finding the surface area of three-dimensional figures. This tool also demonstrates the relationship between the solid shapes and their nets, which is a skill that needs to be mastered for the ARMT.

**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

**Title:** Dynamic Paper Tool

**Description:**
Create customized activity sheets for your classroom! Nets of 3-D shapes, tessellations, coordinate graphs, and more - all based on your input.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics

**Title:**Dynamic Paper Tool

**Description:**Create customized activity sheets for your classroom! Nets of 3-D shapes, tessellations, coordinate graphs, and more - all based on your input.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2,3,4,5,6,7,8,9,10,11,12