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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): [TC2] (02) 7: Use digital tools to access and retrieve information. [TC2] (02) 8: Use digital environments to exchange ideas with individuals or groups. [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: "Bursting with Math"
Description:
Using "Starburst" jelly beans to sort, graph and add.
Standard(s): [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (0) 2: Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [KCC2] [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. [KCC5] [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (0) 7: Compare two numbers between 1 and 10 presented as written numerals. [KCC7] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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)
Title: "Bursting with Math"
Description: Using "Starburst" jelly beans to sort, graph and add.
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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): [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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)
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.
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Title: Share and Share Alike (Equal Parts)
Description:
This Five E’s AMSTI lesson plan equips students to divide an object into equal parts. A story and interactive whiteboard activity about sharing food demonstrate the idea of equal halves of circles, after which students attempt to half squares and rectangles, and explain their findings to the group. Finally, children divide paper and electronic pizzas into 3 and 4 equal parts.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2]
Subject: Mathematics (K  2)
Title: Share and Share Alike (Equal Parts)
Description: This Five E’s AMSTI lesson plan equips students to divide an object into equal parts. A story and interactive whiteboard activity about sharing food demonstrate the idea of equal halves of circles, after which students attempt to half squares and rectangles, and explain their findings to the group. Finally, children divide paper and electronic pizzas into 3 and 4 equal parts.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: "Fantastic Fractions"
Description:
The students will use sugarfree Gummy bears to identify fractional parts of the whole. The students will create a graph using the information obtain.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [CE] (012) 6: Respect for others [CE] (012) 8: Cooperation [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 7: Use digital tools to access and retrieve information. [TC2] (02) 9: Identify digital tools used for problem solving. [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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 Mathematics (1  2), or Technology Education (K  2)
Title: "Fantastic Fractions"
Description: The students will use sugarfree Gummy bears to identify fractional parts of the whole. The students will create a graph using the information obtain.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): [ELA2013] (1) 40: With guidance and support from adults, demonstrate understanding of word relationships and nuances in word meanings. [L.1.5] [ELA2013] (1) 36: Produce complete sentences when appropriate to task and situation. (See Grade 1 Language standard 37 for specific expectations.) [SL.1.6] [AED] VA (2) 2: Apply analogous and intermediate colors, symmetrical balance, and geometric and organic shapes in the production of works of art. [ELA] (1) 3: Demonstrate vocabulary skills, including sorting words into categories and deriving word meaning from context within sentences and paragraphs. [ELA] (1) 8: Use complete sentences to address a topic or tell a story. [ELA] (2) 3: Exhibit vocabulary skills, including explaining simple common antonyms and synonyms and using descriptive words. [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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  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): [ELA2013] (0) 1: With prompting and support, ask and answer questions about key details in a text. [RL.K.1] [ELA] (2) 14: Respond to various types of literature read aloud. [ELA] (1) 13: Listen for meaning in conversations and discussions, including looking at the speaker without interrupting. [CE] (012) 8: Cooperation [CE] (012) 10: Selfcontrol [TC2] (02) 1: Identify basic parts of various technology systems. [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 3: Demonstrate correct posture and finger placement while using a technology system. [TC2] (02) 4: Identify safe use of technology systems and applications. [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (0) 14: Describe measurable attributes of objects such as length or weight. Describe several measurable attributes of a single object. [KMD1] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [MA2013] (1) 15: Order three objects by length; compare the lengths of two objects indirectly by using a third object. [1MD1] [MA2013] (1) 16: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of samesize length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps. [1MD2] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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 (1  2), 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
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.
Standard(s): [ELA2013] (0) 16: With prompting and support, describe the relationship between illustrations and the text in which they appear (e.g., what person, place, thing, or idea in the text an illustration depicts). [RI.K.7] [ELA2013] (0) 10: With prompting and support, ask and answer questions about key details in a text. [RI.K.1] [ELA2013] (0) 7: With prompting and support, describe the relationship between illustrations and the story in which they appear (e.g., what moment in a story an illustration depicts). [RL.K.7] [CE] (012) 8: Cooperation [CE] (012) 10: Selfcontrol [CE] (012) 6: Respect for others [MA2013] (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] [MA2013] (4) 26: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. [4G1] [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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): [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (0) 3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 020 (with 0 representing a count of no objects). [KCC3] [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. [KCC5] [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [KMD3] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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): [TC2] (02) 4: Identify safe use of technology systems and applications. [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: 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): [TC2] (02) 1: Identify basic parts of various technology systems. [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 3: Demonstrate correct posture and finger placement while using a technology system. [TC2] (02) 5: Practice responsible use of technology systems and applications. [TC2] (02) 10: Design original works using digital tools. [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. [KCC5] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [MA2013] (2) 23: Draw a picture graph and a bar graph (with singleunit scale) to represent a data set with up to four categories. Solve simple puttogether, takeapart, and compare problems using information presented in a bar graph. (See Appendix A, Table 1.) [2MD10] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: 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.
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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): [TC2] (02) 4: Identify safe use of technology systems and applications. [TC2] (02) 7: Use digital tools to access and retrieve information. [AED] VA (0) 1: Use selected materials to produce works of art. [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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.
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Title: Getting Into "Shape"
Description:
Through observation and hands on activity, students identify plane shapes that make up geometric solids (space shapes).
Standard(s): [TC2] (02) 1: Identify basic parts of various technology systems. [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 3: Demonstrate correct posture and finger placement while using a technology system. [TC2] (02) 10: Design original works using digital tools. [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: Getting Into "Shape"
Description: Through observation and hands on activity, students identify plane shapes that make up geometric solids (space shapes).
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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] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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: Links Away
Description:
In this sevenlesson unit, from Illuminations, students explore the five models of subtraction (counting, sets, number line, balanced equations and inverse of addition) using links. They also learn that the order property does not hold for subtraction and explore the relation between addition and subtraction. Students also write story problems in which subtraction is required and begin to memorize the subtraction facts.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: Links Away
Description: In this sevenlesson unit, from Illuminations, students explore the five models of subtraction (counting, sets, number line, balanced equations and inverse of addition) using links. They also learn that the order property does not hold for subtraction and explore the relation between addition and subtraction. Students also write story problems in which subtraction is required and begin to memorize the subtraction facts. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: How Big Is Your Heart?
Description:
In this lesson, one of a multipart 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): [S1] (1) 5: Identify parts of the human body, including the head, neck, shoulders, arms, spine, and legs. [S1] (3) 6: Identify structures and functions of the muscular and skeletal systems of the human body. [S1] (5) 8: Identify major body systems and their functions, including the circulatory system, respiratory system, excretory system, and reproductive system. [MA2013] (0) 14: Describe measurable attributes of objects such as length or weight. Describe several measurable attributes of a single object. [KMD1] [MA2013] (0) 15: Directly compare two objects, with a measurable attribute in common, to see which object has "more of" or "less of" the attribute, and describe the difference. [KMD2] [MA2013] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [KMD3] [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (1) 16: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of samesize length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps. [1MD2] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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,Science Title: How Big Is Your Heart?
Description: In this lesson, one of a multipart 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
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Title: Proteacher Collection: Fractions
Description:
This Web site contains comments and ideas for teaching fractions.
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] [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] [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] [MA2013] (3) 14: Understand a fraction as a number on the number line; represent fractions on a number line diagram. [3NF2] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3] [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] [MA2013] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2] [MA2013] (4) 14: Understand a fraction ^{a}/_{b} with a > 1 as a sum of fractions ^{1}/_{b}. [4NF3]
Proteacher Collection: Fractions
http://www.proteache...
This Web site contains comments and ideas for teaching fractions.
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Title: Understanding Fractions
Description:
This is a two page pdf for explaining and practicing fractions.
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] [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] [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]
Understanding Fractions
http://www.mathmammo...
This is a two page pdf for explaining and practicing fractions.
Thinkfinity Interactive Games
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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] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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] [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
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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] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional 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.") [1G2] [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] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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: Investigating the Concept of Triangle and Properties of Polygons: Creating Polygons
Description:
Standard(s): [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (0) 21: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [KG5] [MA2013] (0) 22: Compose simple shapes to form larger shapes. [KG6] [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] [MA2013] (2) 25: Partition a rectangle into rows and columns of samesize squares, and count to find the total number of them. [2G2] [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

