**Title:** Stop, Look, and Find Shapes in Our School and Community!

**Description:**
This is a project-based lesson that provides many hands-on opportunities for students to learn about shapes in their environment. Students are challenged to find shapes in our world using everyday technology. Students review the characteristics of basic shapes such as squares, triangles, circles, etc. They will then learn how to use digital cameras to capture shapes in the environment and will create a digital book of their photos.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics (K - 2), or Technology Education (K - 2)

**Title:**Stop, Look, and Find Shapes in Our School and Community!

**Description:**This is a project-based lesson that provides many hands-on opportunities for students to learn about shapes in their environment. Students are challenged to find shapes in our world using everyday technology. Students review the characteristics of basic shapes such as squares, triangles, circles, etc. They will then learn how to use digital cameras to capture shapes in the environment and will create a digital book of their photos.

**Title:** What Can Shapes Be....

**Description:**
This is a hands-on lesson that will help students explore shapes in their environment. Students will work in diverse groups to complete this activity. Students will make a class book of their findings.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (2) 24: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces. (Sizes are compared directly or visually, not compared by measuring.) Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. [2-G1]

**Subject:**English Language Arts (K), or Mathematics (K - 2)

**Title:**What Can Shapes Be....

**Description:**This is a hands-on lesson that will help students explore shapes in their environment. Students will work in diverse groups to complete this activity. Students will make a class book of their findings.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Congruent Figures

**Description:**
This lesson is an introduction to a unit about congruent shapes. Students will begin by listening to a book about shapes. They will then complete several hands-on activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics (K - 2), or Technology Education (K - 2)

**Title:**Congruent Figures

**Description:**This lesson is an introduction to a unit about congruent shapes. Students will begin by listening to a book about shapes. They will then complete several hands-on activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.

**Title:** Shapes in the Classroom

**Description:**
This lesson will teach students to identify solid figures found in the classroom and in magazines. Students will also learn more about solid figures using the Internet.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics (K - 2), or Technology Education (K - 2)

**Title:**Shapes in the Classroom

**Description:**This lesson will teach students to identify solid figures found in the classroom and in magazines. Students will also learn more about solid figures using the Internet.

**Title:** Tantalizing Tangrams

**Description:**
This is an introductory lesson using tangrams. Students will observe the seven geometric shapes that make up the tangram in a variety of ways that exhibit spatial relationships. They will have hands-on experiences using these tangrams to create new shapes. Finally, they will try to make the seven shapes form a square.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Arts Education (K), or Mathematics (K - 2), or Technology Education (K - 2)

**Title:**Tantalizing Tangrams

**Description:**This is an introductory lesson using tangrams. Students will observe the seven geometric shapes that make up the tangram in a variety of ways that exhibit spatial relationships. They will have hands-on experiences using these tangrams to create new shapes. Finally, they will try to make the seven shapes form a square.

**Title:** Creating, Describing, and Analyzing Patterns

**Description:**
In this four-lesson unit from Illuminations, students develop their understanding and use of patterns as they analyze relationships and make predictions. Students use interactive math applets to learn about repeating and growing patterns.
**Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Subject:**Mathematics

**Title:**Creating, Describing, and Analyzing Patterns

**Description:**In this four-lesson unit from Illuminations, students develop their understanding and use of patterns as they analyze relationships and make predictions. Students use interactive math applets to learn about repeating and growing patterns.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Going Places

**Description:**
This unit of seven lessons, from Illuminations, engages students in activities that use measurement and geometry. Students investigate various areas and objects they see each day to apply ideas of navigating in space and understanding the relationships among these various elements.
**Standard(s): **

[MA2015] (1) 21: Partition circles and rectangles into two and four equal shares; describe the shares using the words *halves, fourths, and quarters*; and use the phrases *half of, fourth of, and quarter of*. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. [1-G3]

**Subject:**Mathematics,Social Studies

**Title:**Going Places

**Description:**This unit of seven lessons, from Illuminations, engages students in activities that use measurement and geometry. Students investigate various areas and objects they see each day to apply ideas of navigating in space and understanding the relationships among these various elements.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Virtual Pattern Blocks

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. They investigate relationships between parts and wholes using virtual fractions. Students use conversation to explain their understandings in order to extend and clarify their mathematical content knowledge.
**Standard(s): **

[MA2015] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into *b* equal parts; understand a fraction ^{a}/_{b} as the quantity formed by *a* parts and size ^{1}/_{b}. [3-NF1]

**Subject:**Mathematics

**Title:**Virtual Pattern Blocks

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. They investigate relationships between parts and wholes using virtual fractions. Students use conversation to explain their understandings in order to extend and clarify their mathematical content knowledge.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** Going on a Shape Hunt: Integrating Math and Literacy

**Description:**
Students participate in a scavenger hunt for shapes; reading, writing, and discussion of shapes encourage literacy and math skills.
**Standard(s): **

[ELA2015] (2) 34: Produce complete sentences when appropriate to task and situation in order to provide requested detail or clarification. (See Grade 2 Language standards 35 and 37 for specific expectations.) [SL.2.6]

**Subject:**Language Arts

**Title:**Going on a Shape Hunt: Integrating Math and Literacy

**Description:**Students participate in a scavenger hunt for shapes; reading, writing, and discussion of shapes encourage literacy and math skills.

**Thinkfinity Partner:**ReadWriteThink

**Grade Span:**K,1,2

**Title:** Investigating Shapes

**Description:**
In this five-lesson unit, from Illuminations, students identify characteristics of triangles, manipulate electronic geoboards to construct triangles, and name the triangles relative locations. In addition, through music and observation, students identify triangles in their environment. These lessons are especially appropriate for students in prekindergarten and kindergarten.
**Standard(s): **

[MA2015] (2) 25: Partition a rectangle into rows and columns of same-size squares, and count to find the total number of them. [2-G2]

**Subject:**Mathematics

**Title:**Investigating Shapes

**Description:**In this five-lesson unit, from Illuminations, students identify characteristics of triangles, manipulate electronic geoboards to construct triangles, and name the triangles relative locations. In addition, through music and observation, students identify triangles in their environment. These lessons are especially appropriate for students in prekindergarten and kindergarten.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Geometric Understanding Through Tangram Puzzles

**Description:**
In this two-lesson unit from Illuminations, students use tangram pieces to fill in a picture s outline and form given polygons. Describing figures and visualizing what they look like when they are transformed through rotations or flips, or are put together or taken apart in different ways are important aspects of geometry in the lower grades. This two-part tangram example demonstrates the potential for high-quality experiences provided by computer shape environments for students as they learn geometry concepts.
**Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Subject:**Mathematics

**Title:**Geometric Understanding Through Tangram Puzzles

**Description:**In this two-lesson unit from Illuminations, students use tangram pieces to fill in a picture s outline and form given polygons. Describing figures and visualizing what they look like when they are transformed through rotations or flips, or are put together or taken apart in different ways are important aspects of geometry in the lower grades. This two-part tangram example demonstrates the potential for high-quality experiences provided by computer shape environments for students as they learn geometry concepts.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Making Triangles

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use 45- and 90-degree angles to create triangles and develop an understanding of the relationship between angles and the shape of a triangle. Students use their knowledge of numbers, measurement, and geometry to design a virtual path using two different angles to help a ladybug reach its hiding place under a leaf.
**Standard(s): **

[MA2015] (2) 24: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces. (Sizes are compared directly or visually, not compared by measuring.) Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. [2-G1]

**Subject:**Mathematics

**Title:**Making Triangles

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use 45- and 90-degree angles to create triangles and develop an understanding of the relationship between angles and the shape of a triangle. Students use their knowledge of numbers, measurement, and geometry to design a virtual path using two different angles to help a ladybug reach its hiding place under a leaf.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Making Virtual Triangles

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations and interactive electronic geoboards to explore the characteristics of triangles.
**Standard(s): **

[MA2015] (2) 24: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces. (Sizes are compared directly or visually, not compared by measuring.) Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. [2-G1]

**Subject:**Mathematics

**Title:**Making Virtual Triangles

**Description:**In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations and interactive electronic geoboards to explore the characteristics of triangles.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Stop, Look, and Find Shapes In Our Environment

**Overview:**
This podcast gives students a preview of shapes in their environment. Students explore their school to find shapes in their everyday environment while using digital cameras to take pictures of their findings. **Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Overview:**

This podcast gives students a preview of shapes in their environment. Students explore their school to find shapes in their everyday environment while using digital cameras to take pictures of their findings.

**Title:** Traveling Numbers

**Overview:**
This podcast shows the various places numbers can be found when traveling. It also shows the shapes that can be found in traffic signs. **Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Overview:**

This podcast shows the various places numbers can be found when traveling. It also shows the shapes that can be found in traffic signs.

**Title:** Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams

**Description:**
Describing figures and visualizing what they look like when they are transformed through rotations or flips or are put together or taken apart in different ways are important aspects of geometry in the lower grades. This two-part tangram example from Illuminations demonstrates the potential for high-quality experiences provided by computer 'shape' environments for students as they learn concepts described in the Geometry Standard. Problem-solving tasks that involve physical manipulatives as well as virtual manipulatives afford many students an entry into mathematics that they might not otherwise experience.
**Standard(s): **

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics

**Title:**Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams

**Description:**Describing figures and visualizing what they look like when they are transformed through rotations or flips or are put together or taken apart in different ways are important aspects of geometry in the lower grades. This two-part tangram example from Illuminations demonstrates the potential for high-quality experiences provided by computer 'shape' environments for students as they learn concepts described in the Geometry Standard. Problem-solving tasks that involve physical manipulatives as well as virtual manipulatives afford many students an entry into mathematics that they might not otherwise experience.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2

**Title:** Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug

**Description:**
This stand-alone applet is part of the Illuminations lesson titled '' Helping Ladybug Hide with Arrows and Angles.'' In the lesson, students use this applet to hide a ladybug under a leaf.
**Standard(s): **

[MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4-OA5]

**Subject:**Mathematics

**Title:**Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug

**Description:**This stand-alone applet is part of the Illuminations lesson titled '' Helping Ladybug Hide with Arrows and Angles.'' In the lesson, students use this applet to hide a ladybug under a leaf.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Investigating the Concept of Triangle and Properties of Polygons: Creating Polygons

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

[MA2015] (2) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words *halves, thirds, half of, a third of*, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2-G3]

**Subject:**Mathematics

**Title:**Investigating the Concept of Triangle and Properties of Polygons: Creating Polygons

**Description:**

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2

**Title:** Patch Tool

**Description:**
This student interactive from Illuminations allows students to create patches like those used in quilting. Triangles, squares, parallelograms, and other shapes are available.
**Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Subject:**Mathematics

**Title:**Patch Tool

**Description:**This student interactive from Illuminations allows students to create patches like those used in quilting. Triangles, squares, parallelograms, and other shapes are available.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**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

**Title:** Pan Balance -- Shapes

**Description:**
This student interactive, from Illuminations, provides an interesting environment in which students can consider the concept of equivalence. The interactive pan balance uses multiple shapes with different values, allowing students to investigate what happens as different shapes are placed on the balance.
**Standard(s): **

[MA2015] (1) 19: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. [1-G1]

**Subject:**Mathematics

**Title:**Pan Balance -- Shapes

**Description:**This student interactive, from Illuminations, provides an interesting environment in which students can consider the concept of equivalence. The interactive pan balance uses multiple shapes with different values, allowing students to investigate what happens as different shapes are placed on the balance.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams: Tangram Challenges

**Description:**
This is part two of a two-part e-example from Illuminations that demonstrates the potential for high-quality experiences provided by computer '' shape'' environments for students as they learn concepts described in the Geometry Standard. In this second part, Tangram Challenges, students can use tangram pieces to form given polygons. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
**Standard(s): **

[MA2015] (0) 22: Compose simple shapes to form larger shapes. [K-G6]

**Subject:**Mathematics

**Title:**Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams: Tangram Challenges

**Description:**This is part two of a two-part e-example from Illuminations that demonstrates the potential for high-quality experiences provided by computer '' shape'' environments for students as they learn concepts described in the Geometry Standard. In this second part, Tangram Challenges, students can use tangram pieces to form given polygons. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2