ALEX Lesson Plans
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Title: "Quadriwhaterals?"
Description:
This lesson is designed to introduce the concept of quadrilaterals to your students. It will cover all different types of quadrilaterals, their characteristics, and what characteristics allow the different shapes to stand out. It will also highlight the similarities between different types of quadrilaterals.
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. [3G1]
Subject: Mathematics (2  3)
Title: "Quadriwhaterals?"
Description: This lesson is designed to introduce the concept of quadrilaterals to your students. It will cover all different types of quadrilaterals, their characteristics, and what characteristics allow the different shapes to stand out. It will also highlight the similarities between different types of quadrilaterals.
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Title: Look Around, What do You See? Origamis!
Description:
Students will make origamis using Japanese paper folding techniques. This lesson will enhance the students ability to understand geometry concepts.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2015] (4) 28: Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify linesymmetric figures and draw lines of symmetry. [4G3]
Subject: Mathematics (1  4)
Title: Look Around, What do You See? Origamis!
Description: Students will make origamis using Japanese paper folding techniques. This lesson will enhance the students ability to understand geometry concepts.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Look Around and What Do You See Geometry
Description:
Students will learn how to identify geometric figures and their attributes in the world around them.
This is a College and CareerReady Standards showcase lesson plan.
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. [3G1]
Subject: Mathematics (3)
Title: Look Around and What Do You See Geometry
Description: Students will learn how to identify geometric figures and their attributes in the world around them.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Geometric Man
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The students will explore angles, rays, line segments, perpendicular lines, parallel lines, and twodimensional figures through the use of the book "Shape Up! Fun With Triangles and Other Polygons" by David A. Adler. They will also classify quadrilaterals through an interactive website.
Standard(s): [MA2015] (4) 27: Classify twodimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. [4G2]
Subject: Mathematics (3  4)
Title: Geometric Man
Description: The students will explore angles, rays, line segments, perpendicular lines, parallel lines, and twodimensional figures through the use of the book "Shape Up! Fun With Triangles and Other Polygons" by David A. Adler. They will also classify quadrilaterals through an interactive website.
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Title: A What? A What? A Quadrilateral
Description:
In this lesson, students will identify the characteristics of a quadrilateral. Students will have a chance categorize quadrilaterals into subgroups such as squares, rhombuses, rectangles, and nonregular quadrilaterals. This lesson using geometric shapes for a handson activity and includes a quadrilateral quest via the internet at the end.
Standard(s): [TC2] (35) 2: Use various technology applications, including word processing and multimedia software.
Subject: Mathematics (3  5), or Technology Education (3  5)
Title: A What? A What? A Quadrilateral
Description: In this lesson, students will identify the characteristics of a quadrilateral. Students will have a chance categorize quadrilaterals into subgroups such as squares, rhombuses, rectangles, and nonregular quadrilaterals. This lesson using geometric shapes for a handson activity and includes a quadrilateral quest via the internet at the end.
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Title: It's In The Bag
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This lesson is a unique and fun way to review perimeter, angles, and types of adjectives. Students pick an object from the classroom that will fit in a paper lunch bag. They investigate their object and fill in the attached sheet. You can then make a bulletin board out in the hall by attaching the bag (with the object in it) below or beside the info sheet. Students can come by and try to guess what object is in the bag by looking at the info sheet. They can then check their guess by looking in the bag.
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. [3G1]
Subject: Mathematics (3)
Title: It's In The Bag
Description: This lesson is a unique and fun way to review perimeter, angles, and types of adjectives. Students pick an object from the classroom that will fit in a paper lunch bag. They investigate their object and fill in the attached sheet. You can then make a bulletin board out in the hall by attaching the bag (with the object in it) below or beside the info sheet. Students can come by and try to guess what object is in the bag by looking at the info sheet. They can then check their guess by looking in the bag.
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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): [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. [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: "Polly"gon Pockets
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In this lesson, students will explore the attributes of various polygons. Students will need to be in 12 cooperative groups (one for each shape being explored). They will complete a jigsaw puzzle to discover their shape and then list the attributes they notice about it. They will create a foldable that shows each polygon, describes its attributes, and lists items in our world that use that shape. Then, the students will create a collage using either magazines and 9x12 construction paper or the Internet and Microsoft Word to create a collage of items in our world that use polygon shapes. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] (5) 25: Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. [5G3]
Subject: Arts Education (5), or Mathematics (3  5)
Title: "Polly"gon Pockets
Description: In this lesson, students will explore the attributes of various polygons. Students will need to be in 12 cooperative groups (one for each shape being explored). They will complete a jigsaw puzzle to discover their shape and then list the attributes they notice about it. They will create a foldable that shows each polygon, describes its attributes, and lists items in our world that use that shape. Then, the students will create a collage using either magazines and 9x12 construction paper or the Internet and Microsoft Word to create a collage of items in our world that use polygon shapes. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Angles in the Mix
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In this lesson, students will observe art paintings for angles  straight, right, obtuse, and acute. Using digital cameras, students will find "art" in their environment, which displays those same types of angles. They will use their photos to create a Photo Story describing the angles in their environmental art and share it with the class. Lastly, students will choose one of their photos to paint and label the angles found in their art.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): [MA2015] (4) 27: Classify twodimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. [4G2]
Subject: Arts Education (5), or English Language Arts (5), or Mathematics (3  4), or Technology Education (3  5)
Title: Angles in the Mix
Description: In this lesson, students will observe art paintings for angles  straight, right, obtuse, and acute. Using digital cameras, students will find "art" in their environment, which displays those same types of angles. They will use their photos to create a Photo Story describing the angles in their environmental art and share it with the class. Lastly, students will choose one of their photos to paint and label the angles found in their art.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 and Similar Figures
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This lesson provides a variety of handson activities for the students to understand the difference between congruent and similar figures. Students will use geoboards, pattern blocks, and the Internet to explore the difference. The activities can be used to reach all learning types.
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. [3G1]
Subject: Arts Education (5), or Mathematics (3), or Technology Education (3  5)
Title: Congruent and Similar Figures
Description: This lesson provides a variety of handson activities for the students to understand the difference between congruent and similar figures. Students will use geoboards, pattern blocks, and the Internet to explore the difference. The activities can be used to reach all learning types.
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Title: Capturing Polygons
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During this lesson students discover the different types of polygons. They use a variety of methods to learn to identify polygons. They realize that polygons are everywhere as they search for polygons around the school.
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. [3G1]
Subject: Mathematics (3), or Technology Education (3  5)
Title: Capturing Polygons
Description: During this lesson students discover the different types of polygons. They use a variety of methods to learn to identify polygons. They realize that polygons are everywhere as they search for polygons around the school.
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Title: Quadrilaterals
Description:
During this lesson students explore the Internet to learn about quadrilaterals. Students create the different types of quadrilaterals and use technology to learn how to classify quadrilaterals.
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. [3G1]
Subject: Mathematics (3), or Technology Education (3  5)
Title: Quadrilaterals
Description: During this lesson students explore the Internet to learn about quadrilaterals. Students create the different types of quadrilaterals and use technology to learn how to classify quadrilaterals.
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Title: ABC's of Geometry
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During this lesson students explore the world of geometry on the Internet. Students create their own list of terms by navigating geometry sites. Students also reinforce what they have learned using interactive Internet sites.
Standard(s): [ELA2015] (4) 43: Acquire and use accurately gradeappropriate general academic and domainspecific words and phrases, including those that signal precise actions, emotions, or states of being (e.g., quizzed, whined, stammered) and that are basic to a particular topic (e.g., wildlife, conservation, and endangered when discussing animal preservation). [L.4.6]
Subject: English Language Arts (4), or Mathematics (3), or Technology Education (3  5)
Title: ABC's of Geometry
Description: During this lesson students explore the world of geometry on the Internet. Students create their own list of terms by navigating geometry sites. Students also reinforce what they have learned using interactive Internet sites.
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Title: Geo Picture
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During this lesson students use their imagination to create a fascinating picture using only straight lines. Students have the opportunity to illustrate their designs on an interactive Internet site.
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. [3G1]
Subject: Mathematics (3), or Technology Education (3  5)
Title: Geo Picture
Description: During this lesson students use their imagination to create a fascinating picture using only straight lines. Students have the opportunity to illustrate their designs on an interactive Internet site.
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Title: Shapes on the Way Home
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This reproducible chart, from an Illuminations lesson, prompts students to search for and list shapes they find as they walk home from school. They record each shape's name, where it was found and whether it is a plane or solid figure.
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. [4OA5]
Subject: Mathematics Title: Shapes on the Way Home
Description: This reproducible chart, from an Illuminations lesson, prompts students to search for and list shapes they find as they walk home from school. They record each shape's name, where it was found and whether it is a plane or solid figure. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Working with Shapes
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In this lesson, one of a multipart unit from Illuminations, students review different geometric terms. They explore these and other geometric concepts by modeling on the geoboard.
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. [3G1]
Subject: Arts,Mathematics Title: Working with Shapes
Description: In this lesson, one of a multipart unit from Illuminations, students review different geometric terms. They explore these and other geometric concepts by modeling on the geoboard. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Building with Triangles
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This unit of four lessons, from Illuminations, focuses on triangles and their properties. Each investigation begins with an openended question that challenges students to become actively involved in mathematical experiments, ideas, discussions, manipulative materials, tools, and techniques.
Standard(s): [MA2015] (4) 27: Classify twodimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. [4G2]
Subject: Mathematics Title: Building with Triangles
Description: This unit of four lessons, from Illuminations, focuses on triangles and their properties. Each investigation begins with an openended question that challenges students to become actively involved in mathematical experiments, ideas, discussions, manipulative materials, tools, and techniques. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Getting to Know the Shapes
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In this lesson, one of a multipart unit from Illuminations, students discover the uses of geometry and measurement in the world of architecture as they are introduced to a project in which they design a clubhouse.
Standard(s): [MA2015] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1]
Subject: Arts,Mathematics Title: Getting to Know the Shapes
Description: In this lesson, one of a multipart unit from Illuminations, students discover the uses of geometry and measurement in the world of architecture as they are introduced to a project in which they design a clubhouse. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Describing Designs
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In this lesson, one of a multipart unit from Illuminations, students create designs and describe them to classmates, using fractional and geometric terms. The lesson provides a context for using the vocabulary terms horizontal, vertical, square, rectangle, triangle, diagonal, onehalf, and onefourth. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2015] (5) 23: Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). [5G1]
Subject: Arts,Language Arts,Mathematics Title: Describing Designs
Description: In this lesson, one of a multipart unit from Illuminations, students create designs and describe them to classmates, using fractional and geometric terms. The lesson provides a context for using the vocabulary terms horizontal, vertical, square, rectangle, triangle, diagonal, onehalf, and onefourth. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Mathematics and Children's Literature
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In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
Standard(s): [ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 68 text complexity band independently and proficiently. [RL.8.10]
Subject: Language Arts,Mathematics Title: Mathematics and Children's Literature
Description: In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Geometric Solids and Their Properties
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In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket.
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. [4OA5]
Subject: Mathematics Title: Geometric Solids and Their Properties
Description: In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Making a Shape Jacket
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In this lesson, one of a multipart unit from Illuminations, students use an online, interactive activity to analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. Students investigate and use netsjackets for geometric solids that can be folded to create the surface of the solid, representing a polyhedron in two dimensions.
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. [3G1]
Subject: Mathematics Title: Making a Shape Jacket
Description: In this lesson, one of a multipart unit from Illuminations, students use an online, interactive activity to analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. Students investigate and use netsjackets for geometric solids that can be folded to create the surface of the solid, representing a polyhedron in two dimensions. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Seeing Geometry in Art
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In this lesson, one of a multipart unit from Illuminations, students explore the geometric figures Wassily Kandinsky used in his art. Students use paintings printed during a previous lesson to connect their knowledge of geometric shapes and terms with Kandinsky s use of geometric figures. Several pieces of literature appropriate for use with this lesson are suggested.
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. [3G1]
Subject: Arts,Mathematics Title: Seeing Geometry in Art
Description: In this lesson, one of a multipart unit from Illuminations, students explore the geometric figures Wassily Kandinsky used in his art. Students use paintings printed during a previous lesson to connect their knowledge of geometric shapes and terms with Kandinsky s use of geometric figures. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Constructing a ThreeDimensional Model
Description:
In this lesson, one of a multipart unit from Illuminations, students build a three dimensional model of a clubhouse from two dimensional blueprints designed in an earlier lesson. In addition, they solve problems related to constructing and decorating their clubhouse.
Standard(s): [MA2015] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1]
Subject: Arts,Mathematics Title: Constructing a ThreeDimensional Model
Description: In this lesson, one of a multipart unit from Illuminations, students build a three dimensional model of a clubhouse from two dimensional blueprints designed in an earlier lesson. In addition, they solve problems related to constructing and decorating their clubhouse. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Shape Search
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This reproducible activity sheet, from an Illuminations lesson, prompts students to list all the shapes they can find in photos of various manmade structures. They are also asked to list the number of sides each shape has.
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. [3G1]
Subject: Arts,Mathematics Title: Shape Search
Description: This reproducible activity sheet, from an Illuminations lesson, prompts students to list all the shapes they can find in photos of various manmade structures. They are also asked to list the number of sides each shape has. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Shapes Art
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In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the poem Shapes from Shel Silverstein s A Light in the Attic and then recognize, draw, and describe geometric figures.
Standard(s): [ELA2015] (3) 21: Read with sufficient accuracy and fluency to support comprehension. [RF.3.4]
Subject: Language Arts,Mathematics Title: Shapes Art
Description: In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the poem Shapes from Shel Silverstein s A Light in the Attic and then recognize, draw, and describe geometric figures. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5
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Title: Who Was Wassily Kandinsky?
Description:
In this lesson, one of a multipart unit from Illuminations, students explore the geometric figures Wassily Kandinsky used in his art. Students participate in a scavenger hunt to become familiar with Kandinsky s works and the geometric figures used in his paintings.
Standard(s): [MA2015] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1]
Subject: Arts,Mathematics Title: Who Was Wassily Kandinsky?
Description: In this lesson, one of a multipart unit from Illuminations, students explore the geometric figures Wassily Kandinsky used in his art. Students participate in a scavenger hunt to become familiar with Kandinsky s works and the geometric figures used in his paintings. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Patterns That Grow: Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and then explore patterns in a variety of mathematical contexts. The lesson includes a link to an interactive online shape tool.
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. [4OA5]
Subject: Mathematics Title: Patterns That Grow: Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and then explore patterns in a variety of mathematical contexts. The lesson includes a link to an interactive online shape tool. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Rectangles and Parallelograms
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In this lesson, from Illuminations, students use dynamic software to examine the properties of rectangles and parallelograms and then identify what distinguishes a rectangle from a more general parallelogram. Using spatial relationships, they examine the properties of two and threedimensional shapes. The lesson links to a virtual manipulative that allows students to compare rectangles and parallelograms.
Standard(s): [MA2015] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1]
Subject: Mathematics Title: Rectangles and Parallelograms
Description: In this lesson, from Illuminations, students use dynamic software to examine the properties of rectangles and parallelograms and then identify what distinguishes a rectangle from a more general parallelogram. Using spatial relationships, they examine the properties of two and threedimensional shapes. The lesson links to a virtual manipulative that allows students to compare rectangles and parallelograms. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Study the Shapes
Description:
In this lesson, one of a multipart unit from Illuminations, students use an online, interactive activity to analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. Students investigate geometric shapes in the classroom and complete a chart describing the characteristics of several geometric solids.
Standard(s): [MA2015] (5) 23: Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). [5G1]
Subject: Mathematics Title: Study the Shapes
Description: In this lesson, one of a multipart unit from Illuminations, students use an online, interactive activity to analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. Students investigate geometric shapes in the classroom and complete a chart describing the characteristics of several geometric solids. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Shapes at Work
Description:
The purpose of this lesson, from Science NetLinks, is to look for shapes in both the natural and designed world; to investigate the ways in which shapes can be used; to design and build structures using appropriate shapes. In this lesson, students record shapes that they find around them, identifying those that can be used to solve practical problems and build larger structures. Students will explore the uses of various shapes and record their findings in a science journal. It would also be helpful to display class findings on a bulletin board entitled Shapes We Have Used (or Made).
Standard(s): [MA2015] (3) 25: Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. [3G2]
Subject: Mathematics Title: Shapes at Work
Description: The purpose of this lesson, from Science NetLinks, is to look for shapes in both the natural and designed world; to investigate the ways in which shapes can be used; to design and build structures using appropriate shapes. In this lesson, students record shapes that they find around them, identifying those that can be used to solve practical problems and build larger structures. Students will explore the uses of various shapes and record their findings in a science journal. It would also be helpful to display class findings on a bulletin board entitled Shapes We Have Used (or Made). Thinkfinity Partner: Science NetLinks Grade Span: 3,4,5
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Title: Nonagon/Podcasting Tool
Digital Tool:
Video/Wiki Web Address URL:
http://tmbw.net/wiki/Nonagon 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. [3G1] Digital Tool Description: The nonagon video serves to introduce geometric figures. It is part of a larger site on podcasting complete with scripts and links if students would like to create a podcast after learning about geometry.
Other family night podcasts: http://tmbw.net/wiki/Category:Friday_Night_Family_Podcast_Episodes
Full version of Nonagon with puppet intro explaining various shapes.
Title: Nonagon/Podcasting Tool Digital Tool: Video/Wiki Digital Tool Description: The nonagon video serves to introduce geometric figures. It is part of a larger site on podcasting complete with scripts and links if students would like to create a podcast after learning about geometry.
Other family night podcasts: http://tmbw.net/wiki/Category:Friday_Night_Family_Podcast_Episodes
Full version of Nonagon with puppet intro explaining various shapes.
Web Resources
Interactives/Games
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Title: Gee Geometric
Description:
This is a geometric game for students to count faces, sides, and edges of solids.
Standard(s): [MA2015] (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]
Gee Geometric
http://illuminations...
This is a geometric game for students to count faces, sides, and edges of solids.
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Title: Polygon Sort
Description:
This is an interactive that allows students to sort polygons based on their characteristics.
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. [3G1]
Polygon Sort
http://www.crickweb....
This is an interactive that allows students to sort polygons based on their characteristics.
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Title: Geoboard
Description:
This FREE Geoboard app is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Geoboard
https://itunes.apple...
This FREE Geoboard app is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
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Title: Interactive Quadrilaterals
Description:
Explore quadrilateral shapes and angles with this interactive tool.
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. [3G1]
Interactive Quadrilaterals
http://www.mathsisfu...
Explore quadrilateral shapes and angles with this interactive tool.
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Title: Geoboard App by The Math Learning Center
Description:
Free iPad app for exploring geometry. Learners stretch bands around pegs to discover geometric concepts.
Standard(s): [MA2015] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1]
Geoboard App by The Math Learning Center
https://itunes.apple...
Free iPad app for exploring geometry. Learners stretch bands around pegs to discover geometric concepts.
Learning Activities
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Title: Geoboard
Description:
This FREE Geoboard app is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Geoboard
https://itunes.apple...
This FREE Geoboard app is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
Thinkfinity Informational Materials
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Title: Number and Operations Web Links
Description:
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Number and Operations Web Links
Description: This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
Thinkfinity Interactive Games
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Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description:
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description: Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. 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: 3,4,5
Thinkfinity Learning Activities
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Title: Concentration
Description:
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
Standard(s): [MA2015] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4MD5]
Subject: Mathematics Title: Concentration
Description: This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5
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Title: Isometric Drawing Tool
Description:
Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2D and 3D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.
Standard(s): [MA2015] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4]
Subject: Mathematics Title: Isometric Drawing Tool
Description: Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2D and 3D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
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Title: Fractal Tool
Description:
This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.
Standard(s): [MA2015] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Fractal Tool
Description: This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
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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. [3G1]
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
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Title: Penguins: Built to Swim
Description:
Activity. Students conduct a series of experiments to test how the physical characteristics of penguins help them to swim and dive.
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. [3G1]
Subject: Geography,Mathematics,Science Title: Penguins: Built to Swim
Description: Activity. Students conduct a series of experiments to test how the physical characteristics of penguins help them to swim and dive. Thinkfinity Partner: National Geographic Education Grade Span: 3,4,5
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Title: IGD: Area of a Rectangle
Description:
This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Mathematics Title: IGD: Area of a Rectangle
Description: This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
ALEX Learning Assets

