**Title:** Origami Geometry

**Description:**
Origami (ori-folding, kami-paper) is the traditional Japanese art of folding paper. Students will discover relationships between shapes as they are actively engaged in this hands on geometry lesson to learn basic geometric shapes, their angles, and symmetry.
**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 (1)

**Title:**Origami Geometry

**Description:**Origami (ori-folding, kami-paper) is the traditional Japanese art of folding paper. Students will discover relationships between shapes as they are actively engaged in this hands on geometry lesson to learn basic geometric shapes, their angles, and symmetry.

**Title:** “Tan”: Formerly know as 七巧板

**Description:**
七巧板 the I formerly known as "Tan" is the first of two lessons to introduce first grade students to geometry using tangrams. This lesson incorporates history, math, and language arts. In this lesson students will be able to identify the seven shapes associated with tangrams and the defining properties of each shape. Students will also use the tangrams to create geometric shapes.
**Standard(s): **

**Subject:**Mathematics (1)

**Title:**“Tan”: Formerly know as 七巧板

**Description:**七巧板 the I formerly known as "Tan" is the first of two lessons to introduce first grade students to geometry using tangrams. This lesson incorporates history, math, and language arts. In this lesson students will be able to identify the seven shapes associated with tangrams and the defining properties of each shape. Students will also use the tangrams to create geometric shapes.

**Title:** Tan II formerly known as ;

**Description:**
Tan II formerly known as “七巧板” (pronounced she-tow-bah) is the second of two lessons to introduce first grade students to geometry using tangrams. This lesson incorporates history, math, and language arts. In this lesson students will build on their knowledge of geometric shapes and apply knowledge using logical reasoning.
**Standard(s): **

**Subject:**Mathematics (1)

**Title:**Tan II formerly known as ;

**Description:**Tan II formerly known as “七巧板” (pronounced she-tow-bah) is the second of two lessons to introduce first grade students to geometry using tangrams. This lesson incorporates history, math, and language arts. In this lesson students will build on their knowledge of geometric shapes and apply knowledge using logical reasoning.

**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:** "Bursting with Math"

**Description:**
Using "Starburst" jelly beans to sort, graph and add.
**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)

**Title:**"Bursting with Math"

**Description:**Using "Starburst" jelly beans to sort, graph and add.

**Title:** Shape Makers

**Description:**
In this Five E’s AMSTI lesson, students discover relationships between shapes. Students discover multiple ways to combine shapes to fill the area of a given shape using real and virtual pattern blocks, and share their solutions with peers. Children create puzzles for a partner and play an online game to reinforce their learning.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
**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)

**Title:**Shape Makers

**Description:**In this Five E’s AMSTI lesson, students discover relationships between shapes. Students discover multiple ways to combine shapes to fill the area of a given shape using real and virtual pattern blocks, and share their solutions with peers. Children create puzzles for a partner and play an online game to reinforce their learning. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** "Shape Up or Ship Out"

**Description:**
In this activity, students will identify shapes that architects use to build houses. Students will then explore these shapes by building a model "dream" home.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (1) 20: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names such as "right rectangular prism.") [1-G2]

**Subject:**Character Education (K - 12), or English Language Arts (1), or Mathematics (K - 1), or Technology Education (K - 2)

**Title:**"Shape Up or Ship Out"

**Description:**In this activity, students will identify shapes that architects use to build houses. Students will then explore these shapes by building a model "dream" home.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Guess My Shape

**Description:**
The students will make the connection between 2-D and 3-D shapes using modeling clay and geometric solids and participate in an interactive web lesson. Students will make predictions about what 2-D shape they think will be made when they press 3-D solids into modeling clay. They will then check their predictions.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI 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 (1), or Mathematics (K - 2)

**Title:**Guess My Shape

**Description:**The students will make the connection between 2-D and 3-D shapes using modeling clay and geometric solids and participate in an interactive web lesson. Students will make predictions about what 2-D shape they think will be made when they press 3-D solids into modeling clay. They will then check their predictions. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** Who's Line Is It Anyway?

**Description:**
In this lesson students will learn about line of symmetry in real life objects. An interactive web lesson is used to engage students and give a multitude of real life examples with some interactive practice. The lesson also includes an art activity in the extension.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI 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:**Arts Education (1), or English Language Arts (K - 1), or Mathematics (1 - 2)

**Title:**Who's Line Is It Anyway?

**Description:**In this lesson students will learn about line of symmetry in real life objects. An interactive web lesson is used to engage students and give a multitude of real life examples with some interactive practice. The lesson also includes an art activity in the extension. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**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:** Geometric Shadows

**Description:**
Students will identify objects as translucent, transparent, or opaque. Upon seeing the shadow of the opaque object, students will identify the geometric figure created by the shadow.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**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 - 4), or Credit Recovery Science (4), or Science (1)

**Title:**Geometric Shadows

**Description:**Students will identify objects as translucent, transparent, or opaque. Upon seeing the shadow of the opaque object, students will identify the geometric figure created by the shadow.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**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:** Lucky Charms Graphs

**Description:**
This culminating lesson will use Lucky Charms cereal for review of sorting, counting, tally marks, and graphing. This is a fun and tasty way for students to learn about math.
**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:**Lucky Charms Graphs

**Description:**This culminating lesson will use Lucky Charms cereal for review of sorting, counting, tally marks, and graphing. This is a fun and tasty way for students to learn about math.

**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:** Getting Into "Shape"

**Description:**
Through observation and hands on activity, students identify plane shapes that make up geometric solids (space 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:**Getting Into "Shape"

**Description:**Through observation and hands on activity, students identify plane shapes that make up geometric solids (space shapes).

**Title:** Helping Ladybug Hide with Arrows and Angles

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use a Java applet to hide a ladybug under a leaf. This requires experimentation, planning, and understanding of spatial relationships and visual memory.
**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

**Title:**Helping Ladybug Hide with Arrows and Angles

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use a Java applet to hide a ladybug under a leaf. This requires experimentation, planning, and understanding of spatial relationships and visual memory.

**Thinkfinity Partner:**Illuminations

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

**Title:** Geoboards

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations, locate triangles in their environment, and construct triangles. Students use geoboards to explore the characteristics of triangles.
**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:**Geoboards

**Description:**In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations, locate triangles in their environment, and construct triangles. Students use geoboards to explore the characteristics of triangles.

**Thinkfinity Partner:**Illuminations

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

**Title:** How Big Is Your Heart?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore the size of their hearts. They do this by measuring the length, width, and circumference of their fists and relating this to the size of their hearts.
**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,Science

**Title:**How Big Is Your Heart?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore the size of their hearts. They do this by measuring the length, width, and circumference of their fists and relating this to the size of their hearts.

**Thinkfinity Partner:**Illuminations

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

**Title:** Sampling Rocks

**Description:**
The purpose of this lesson, from Science NetLinks, is for students to learn about sampling through an investigation of rocks found in the schoolyard. In this lesson, students collect and analyze a sampling of rocks from the schoolyard. They sort the collected rocks by characteristics such as size, weight, and color, to see if any generalizations can be made about the types of rocks that can be found in the schoolyard.
**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, Science

**Title:**Sampling Rocks

**Description:**The purpose of this lesson, from Science NetLinks, is for students to learn about sampling through an investigation of rocks found in the schoolyard. In this lesson, students collect and analyze a sampling of rocks from the schoolyard. They sort the collected rocks by characteristics such as size, weight, and color, to see if any generalizations can be made about the types of rocks that can be found in the schoolyard.

**Thinkfinity Partner:**Science NetLinks

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

**Title:** Macaroni Math

**Description:**
In this seven-lesson unit, from Illuminations, students use pasta shapes to explore '' take away'' subtraction in several different contexts (counting, sets, number line, balanced equations and inverse of addition). They also decompose numbers and explore both the zero property and the relationship between addition and subtraction.
**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

**Title:**Macaroni Math

**Description:**In this seven-lesson unit, from Illuminations, students use pasta shapes to explore '' take away'' subtraction in several different contexts (counting, sets, number line, balanced equations and inverse of addition). They also decompose numbers and explore both the zero property and the relationship between addition and subtraction.

**Thinkfinity Partner:**Illuminations

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

**Title:** How Many Buttons?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students review classification, make sets of a given number, explore relationships between numbers, and find numbers that are one more and one less than a given number. They apply their knowledge of classification as they play a game similar to bingo. Several pieces of literature appropriate for use with this lesson are suggested.
**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:**Language Arts,Mathematics

**Title:**How Many Buttons?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students review classification, make sets of a given number, explore relationships between numbers, and find numbers that are one more and one less than a given number. They apply their knowledge of classification as they play a game similar to bingo. Several pieces of literature appropriate for use with this lesson are suggested.

**Thinkfinity Partner:**Illuminations

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

**Title:** Many Sets of Buttons

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students classify buttons and make disjointed and overlapping Venn diagrams. In an extension, they make and record linear patterns.
**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:**Many Sets of Buttons

**Description:**In this lesson, one of a multi-part unit from Illuminations, students classify buttons and make disjointed and overlapping Venn diagrams. In an extension, they make and record linear 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:** Three Sides

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations. Students use attribute-blocks and engage in several activities while exploring the characteristics of triangles.
**Standard(s): **

[MA2015] (1) 20: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names such as "right rectangular prism.") [1-G2]

**Subject:**Mathematics

**Title:**Three Sides

**Description:**In this lesson, one of a multi-part unit from Illuminations, students identify and recognize triangles using multiple representations. Students use attribute-blocks and engage in several activities while exploring the characteristics of triangles.

**Thinkfinity Partner:**Illuminations

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

**Title:** Teaching Shapes Using Read-Alouds, Visualization, and Sketch to Stretch

**Description:**
Visual clues in winter-themed books used in this lesson encourage students to make real-world math connections.
**Standard(s): **

[ELA2015] (1) 30: With guidance and support from adults, recall information from experiences or gather information from provided sources to answer a question. [W.1.8]

**Subject:**Language Arts

**Title:**Teaching Shapes Using Read-Alouds, Visualization, and Sketch to Stretch

**Description:**Visual clues in winter-themed books used in this lesson encourage students to make real-world math connections.

**Thinkfinity Partner:**ReadWriteThink

**Grade Span:**K,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:** Drawing your own plane shapes

**Digital Tool:**
Nearpod **Web Address URL:**
http://www.nearpod.com **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]**Digital Tool Description:** Bring the classroom to life with interactive mobile presentations that teachers create and customize themselves.
(Taken from Nearpod.com)

**Title:**Drawing your own plane shapes

**Digital Tool:**Nearpod

**Digital Tool Description:**Bring the classroom to life with interactive mobile presentations that teachers create and customize themselves. (Taken from Nearpod.com)

**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:** Investigating the Concept of Triangle and the Properties of Polygons: Making Triangles

**Description:**
This two-part example from Illuminations describes activities using interactive geoboards to help students identify simple geometric shapes, describe their properties, and develop spatial sense. This first part, Making Triangles, focuses attention on the concept of triangle, helping students understand the mathematical meaning of a triangle and the idea of congruence, or sameness, in geometry. In the next part, Creating Polygons, students make and compare a variety of polygons, describing the salient properties of the shapes they create. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document.
**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:**Investigating the Concept of Triangle and the Properties of Polygons: Making Triangles

**Description:**This two-part example from Illuminations describes activities using interactive geoboards to help students identify simple geometric shapes, describe their properties, and develop spatial sense. This first part, Making Triangles, focuses attention on the concept of triangle, helping students understand the mathematical meaning of a triangle and the idea of congruence, or sameness, in geometry. In the next part, Creating Polygons, students make and compare a variety of polygons, describing the salient properties of the shapes they create. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document.

**Thinkfinity Partner:**Illuminations

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

**Title:** Shape Cutter

**Description:**
This student interactive, from Illuminations, allows students to explore how they can decompose shapes and recompose them to make other shapes. Students draw and cut shapes, and also use slides, turns, and flips to move the cut pieces around.
**Standard(s): **

[MA2015] GEO (9-12) 5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. [G-CO5]

**Subject:**Mathematics

**Title:**Shape Cutter

**Description:**This student interactive, from Illuminations, allows students to explore how they can decompose shapes and recompose them to make other shapes. Students draw and cut shapes, and also use slides, turns, and flips to move the cut pieces around.

**Thinkfinity Partner:**Illuminations

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

**Title:** Design Your Own Space Probe

**Description:**
Activity. Students design a space probe that will gather extreme weather information on a planet they choose.
**Standard(s): **

[MA2015] (3) 24: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. [3-G1]

**Subject:**Mathematics,Science

**Title:**Design Your Own Space Probe

**Description:**Activity. Students design a space probe that will gather extreme weather information on a planet they choose.

**Thinkfinity Partner:**National Geographic Education

**Grade Span:**2,3,4,5

**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