IP+Math+T2

= Instructional Plan/Learning Activities = **Content:** Mathematics

**Math:**
 * Students will understand that solid geometric relationships, patterns, and functions can be used to develop mathematical arguments with respect to the characteristics and properties of two- and three-dimensional art.
 * Students will understand that visualization, spatial reasoning, and geometric modeling can be used to solve problems in multiple fields, including mathematics and art.
 * Math:**
 * How can math be applied to create and interpret art?
 * How can technology be used to explore, expand, and interpret mathematics in terms of art?


 * MLR - Geometric Figures - 1.**
 * Students represent solid figures in two dimensions.


 * **Lessons:**
 * 1) Points, Lines, and Planes in Space
 * 2) Prisms and Cylinders
 * 3) Pyramids, Cones, and Spheres
 * 4) Viewing and Making Solids and Surfaces
 * 5) Plane Sections and Reflection Symmetry in Space
 * 6) Applications of Solid Geometry

Prompt || 1. Explain: Discussion Observation || 2. Interpret: Discussion Observation || 3. Apply: Work Sample || 4. Empathy: Work Sample || 5. Perspective: Dialogues || 6. Self Knowledge:
 * ===Students will know...=== || ===Formative Assessment=== || ===Students will be able to...=== || ===**Product** Summative Assessment=== ||
 * 1. **Students will know** the important properties and relationships between basic two- and three-dimensional figures. || Quizzes
 * Explain characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. || Podcast ||
 * 2. **Students will know** properties of solids and surfaces of three-dimensional figures such as prisms and cylinders. || Quizzes
 * Illustrate the properties of solids and surfaces of three-dimensional figures. || Skitch & Glogster ||
 * 3. **Students will know** properties of three-dimensional figures such as pyramids, cones, and spheres. || Quizzes
 * Build three-dimensional figures. || Skitch & Glogster ||
 * 4. **Students will know** that there are multiple views in three-dimensions that can be represented in two-dimensions. || Observation
 * Imagine three-dimensions on a two-dimensional plane. || Nets, Tumblr, & Bubbl ||
 * 5. **Students will know** that a three-dimensional figure can be intersected a two-dimensional plane. || Observation
 * Analyze the effect of an intersection of a two-dimensional plane on a three-dimensional figure. || Google Sketchup ||
 * 6. **Students will know** the applications of solid geometry. || Self-Assessment
 * Realize how solid geometry applies in the real world, including the field of art. || Calameo Publication ||

Knowledge Skills** || **MLR - Math** || **Conceptual Lens MLR - Art** || Hook:** 
 * **Instructional Plan** || **Understanding
 * **1.
 * Class discussion comparing and contrasting the artwork of Alexander Calder and Wassily Kandinsky.

 how math can be applied to create and interpret art.
 * Learning Activity (Graphic Organizer, Cooperative Learning, Technology):**
 * Graphic Organizer: See Unit Graphic Organizers[[file:EDU 262 - Unit GO L1.doc]]
 * Cooperative Learning: Think-Pair-Share
 * Think: Think over prompts about the transformation between 2D & 3D and find examples.
 * Pair: Discuss as a group and begin building a 3D Kandinsky. If necessary, add words to show mathematical concepts.
 * Share: Share sculpture with the class and justify the relationship between art, math, and dimensions.
 * Technology: Blogger, Internet research, & digital camera.
 * Artifact:**
 * Sculpture & Blog: Students will create a contour line self-portrait from one piece of wire, take a picture, upload it to Blogger, and compare their sculpture to this lesson's artwork. ||  **Students will understand**


 * Students will know** the important properties and relationships between basic two- and three-dimensional figures.

Students represent solid figures in two dimensions.
 * Students will be able to** explain characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. || **MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. || Hook:**
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**
 * **2.
 * In groups, students will discuss the similarities and differences between the shapes of the objects in their discovery bag.

 **Learning Activity (Graphic Organizer, Cooperative Learning, Technology):** * Graphic Organizer: See Unit Graphic Organizers
 * Cooperative Learning: Think-Pair-Share
 * Think: Students are grouped by different/same colored blocks to think and discuss their discovery bags.
 * Share: Share mathematical properties.
 * Technology: Camera, Skitch & Glogster

 **Artifact:** Skitch & Glogster ||  **Students will understand** how math can be applied to create and interpret art.

**Students will know** properties of solids and surfaces of three-dimensional figures such as prisms and cylinders.

Students represent solid figures in two dimensions.
 * Students will be able to** illustrate the properties of solids and surfaces of three-dimensional figures. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. || Hook:** <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> how math can be applied to create and interpret art.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**3.
 * Watch Out of Egypt: Pyramids as a Pathway.
 * Learning Activity (Graphic Organizer, Cooperative Learning, Technology):**
 * Graphic Organizer: See Unit Graphic Organizers
 * Cooperative Learning: Think-Pair-Share
 * Think: Think over hook.
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">Pair: Discuss pyramids & cones.
 * Share: Graffiti Wall discussion.
 * Technology: Skitch, Glogster, & digital camera.
 * Artifact:** Skitch & Glogster || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> **Students will understand**

**Students will know** properties of three-dimensional figures such as pyramids and cones.

Students represent solid figures in two dimensions.
 * Students will be able to** build three-dimensional figures. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. || Hook:** <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> how technology can be used to explore, expand, and interpret mathematics in terms of art.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**4.
 * Building nets out of straws.
 * Learning Activity (Graphic Organizer, Cooperative Learning, Technology):**
 * Graphic Organizer: See Unit Graphic Organizers
 * Cooperative Learning:
 * Building nets in groups of 4.
 * Individual Tumblr/Bubbl.
 * Technology: Interactive Nets, Tumblr, & Bubbl.
 * Artifact:** Nets, Tumblr, & Bubbl. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> **Students will understand**


 * Students will know** that there are multiple views in three-dimensions that can be represented in two-dimensions.

Students represent solid figures in two dimensions.
 * Students will be able to** imagine three-dimensions on a two-dimensional plane. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. || Hook:** <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**5.
 * Google Sketchup Video
 * Learning Activity (Graphic Organizer, Cooperative Learning, Technology):**
 * Graphic Organizer: See Unit Graphic Organizers
 * Cooperative Learning: Pair & Share
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">Pair: Design a house!
 * Share:Share floor plans with the class.
 * Technology: Google Sketchup

<span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> **Artifact:** Floor Plans in Google Sketchup. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> **Students will understand** how technology can be used to explore, expand, and interpret mathematics in terms of art.


 * Students will know** that a three-dimensional figure can be intersected a two-dimensional plane.

Students represent solid figures in two dimensions.
 * Students will be able to** analyze the effect of an intersection of a two-dimensional plane on a three-dimensional figure. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. || Hook:** <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> how technology can be used to explore, expand, and interpret mathematics in terms of art.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**6.
 * Watch Modern Marvels: Engineering Disasters.
 * Learning Activity (Graphic Organizer, Cooperative Learning, Technology):**
 * Graphic Organizer: See Unit Graphic Organizers
 * Cooperative Learning:
 * Individual Research
 * Share Information in groups.
 * <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">Pair: Create in pairs.
 * Present to class.
 * Technology: Calameo
 * Artifact:** Calameo Publication || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;"> **Students will understand**


 * Students will know** the applications of solid geometry.

Students represent solid figures in two dimensions.
 * Students will be able to** realize how solid geometry applies in the real world, including the field of art. || <span style="color: #000000; font-family: Verdana,Geneva,sans-serif;">**MLR - Mathematics - Geometric Figures - 1.**

composition both within an art work and among art works.
 * MLR - Geometric Measurement - 3.** Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements. || **MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art &** Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of


 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills.** Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.

Students select and prepare art works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.**

Students explain skills and concepts that are similar across disciplines. ||
 * MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.**