ALEX Lesson Plans
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Title: Stop, Look, and Find Shapes in Our School and Community!
Description:
This is a projectbased lesson that provides many handson 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): [MA2013] (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. [2G3]
Subject: Mathematics (K  2), or Technology Education (K  2)
Title: Stop, Look, and Find Shapes in Our School and Community!
Description: This is a projectbased lesson that provides many handson 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.
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Title: What Can Shapes Be....
Description:
This is a handson 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, GEMSU Project.
Standard(s): [MA2013] (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. [2G1]
Subject: English Language Arts (K), or Mathematics (K  2)
Title: What Can Shapes Be....
Description: This is a handson 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, GEMSU Project.
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Title: "Triangles and Things"
Description:
The Greedy Triangle, a Marilyn Burns book, will assist students in determining the simple relationships among polygons. With a wish, the Greedy Triangle is transformed into various polygons. With the addition of a side and an angle, students will be able to determine the difference among triangles, quadrilaterals, pentagons, and hexagon. 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): [MA2013] (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. [2G3]
Subject: Arts Education (2), or English Language Arts (1), or Mathematics (K  2)
Title: "Triangles and Things"
Description: The Greedy Triangle, a Marilyn Burns book, will assist students in determining the simple relationships among polygons. With a wish, the Greedy Triangle is transformed into various polygons. With the addition of a side and an angle, students will be able to determine the difference among triangles, quadrilaterals, pentagons, and hexagon. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Are You a Square or a Rectangle?
Description:
During a handson, inquiry approach lesson, students will discover the difference between standard and nonstandard units of measure. 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): [MA2013] (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. [2G3]
Subject: Character Education (K  12), or English Language Arts (K), or Mathematics (K  2), or Technology Education (K  2)
Title: Are You a Square or a Rectangle?
Description: During a handson, inquiry approach lesson, students will discover the difference between standard and nonstandard units of measure. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Twisted Tangrams
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In this lesson students will use a handson approach to problem solving. They will construct and manipulate tangrams to recreate animals from a story. 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): [MA2013] (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. [2G3]
Subject: Character Education (K  12), or English Language Arts (K), or Mathematics (K  4)
Title: Twisted Tangrams
Description: In this lesson students will use a handson approach to problem solving. They will construct and manipulate tangrams to recreate animals from a story. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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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 handson activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.
Standard(s): [MA2013] (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. [2G3]
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 handson activities, including sorting shapes, using their bodies to form congruent shapes, and using activities on the Internet to practice forming congruent shapes.
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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): [MA2013] (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. [2G3]
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.
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Title: What's Inside a Pumpkin?
Description:
As part of a study on pumpkins, students will discover what's inside a pumpkin by observing a pumpkin, making individual booklets, and tasting baked pumpkin seeds.
Standard(s): [ELA2013] (0) 41: Use words and phrases acquired through conversations, reading and being read to, and responding to texts. [L.K.6]
Subject: English Language Arts (K), or Mathematics (K  2), or Science (K), or Technology Education (K  2)
Title: What's Inside a Pumpkin?
Description: As part of a study on pumpkins, students will discover what's inside a pumpkin by observing a pumpkin, making individual booklets, and tasting baked pumpkin seeds.
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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 handson experiences using these tangrams to create new shapes. Finally, they will try to make the seven shapes form a square.
Standard(s): [MA2013] (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. [2G3]
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 handson experiences using these tangrams to create new shapes. Finally, they will try to make the seven shapes form a square.
Thinkfinity Lesson Plans
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Title: Creating, Describing, and Analyzing Patterns
Description:
In this fourlesson 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): [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
Subject: Mathematics Title: Creating, Describing, and Analyzing Patterns
Description: In this fourlesson 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
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Title: Going Places
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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): [MA2013] (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. [1G3]
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
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Title: Virtual Pattern Blocks
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In this lesson, one of a multipart unit from Illuminations, students use virtual fractions to problemsolve 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): [MA2013] (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}. [3NF1]
Subject: Mathematics Title: Virtual Pattern Blocks
Description: In this lesson, one of a multipart unit from Illuminations, students use virtual fractions to problemsolve 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
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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): [ELA2013] (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
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Title: Investigating Shapes
Description:
In this fivelesson 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): [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2]
Subject: Mathematics Title: Investigating Shapes
Description: In this fivelesson 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
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Title: Geometric Understanding Through Tangram Puzzles
Description:
In this twolesson 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 twopart tangram example demonstrates the potential for highquality experiences provided by computer shape environments for students as they learn geometry concepts.
Standard(s): [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
Subject: Mathematics Title: Geometric Understanding Through Tangram Puzzles
Description: In this twolesson 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 twopart tangram example demonstrates the potential for highquality experiences provided by computer shape environments for students as they learn geometry concepts. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Making Triangles
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In this lesson, one of a multipart unit from Illuminations, students use 45 and 90degree 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): [MA2013] (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. [2G1]
Subject: Mathematics Title: Making Triangles
Description: In this lesson, one of a multipart unit from Illuminations, students use 45 and 90degree 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
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Title: Making Virtual Triangles
Description:
In this lesson, one of a multipart unit from Illuminations, students identify and recognize triangles using multiple representations and interactive electronic geoboards to explore the characteristics of triangles.
Standard(s): [MA2013] (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. [2G1]
Subject: Mathematics Title: Making Virtual Triangles
Description: In this lesson, one of a multipart 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
ALEX Podcasts
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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):
[MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
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.
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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):
[MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
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.
Web Resources
Interactives/Games
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Title: Math Makes a Connection: Patterns with Polygons
Description:
In this interactive website, students use polygons to construct tessellations.
Standard(s): [MA2013] (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. [2G1]
Math Makes a Connection: Patterns with Polygons
http://connectedmath...
In this interactive website, students use polygons to construct tessellations.
Thinkfinity Interactive Games
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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 twopart tangram example from Illuminations demonstrates the potential for highquality experiences provided by computer 'shape' environments for students as they learn concepts described in the Geometry Standard. Problemsolving 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): [MA2013] (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. [2G3]
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 twopart tangram example from Illuminations demonstrates the potential for highquality experiences provided by computer 'shape' environments for students as they learn concepts described in the Geometry Standard. Problemsolving 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
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Title: Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug
Description:
This standalone 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): [MA2013] (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. [4OA5]
Subject: Mathematics Title: Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug
Description: This standalone 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
Thinkfinity Learning Activities
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Title: Investigating the Concept of Triangle and Properties of Polygons: Creating Polygons
Description:
Standard(s): [MA2013] (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. [2G3]
Subject: Mathematics Title: Investigating the Concept of Triangle and Properties of Polygons: Creating Polygons
Description: Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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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): [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
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
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Title: Dynamic Paper Tool
Description:
Create customized activity sheets for your classroom! Nets of 3D shapes, tessellations, coordinate graphs, and more  all based on your input.
Standard(s): [MA2013] (6) 24: Represent threedimensional 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 realworld and mathematical problems. [6G4]
Subject: Mathematics Title: Dynamic Paper Tool
Description: Create customized activity sheets for your classroom! Nets of 3D 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
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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): [MA2013] (1) 19: Distinguish between defining attributes (e.g., triangles are closed and threesided) versus nondefining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. [1G1]
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
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Title: Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams: Tangram Challenges
Description:
This is part two of a twopart eexample from Illuminations that demonstrates the potential for highquality 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. eMath Investigations are selected eexamples 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 eexamples are natural companions to the iMath Investigations.
Standard(s): [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6]
Subject: Mathematics Title: Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams: Tangram Challenges
Description: This is part two of a twopart eexample from Illuminations that demonstrates the potential for highquality 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. eMath Investigations are selected eexamples 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 eexamples are natural companions to the iMath Investigations. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2

