ALEX Lesson Plans
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Title: Students Only! No Teachers Aloud
Description:
The students will be introduced to area and perimeter.The teacher will pose a reallife situation in which the students will have a chance to explore an actual section outside to determine the area and perimeter of a set location.
Standard(s): [MA2015] (4) 21: Apply the area and perimeter formulas for rectangles in realworld and mathematical problems. [4MD3]
Subject: Mathematics (3  4)
Title: Students Only! No Teachers Aloud
Description: The students will be introduced to area and perimeter.The teacher will pose a reallife situation in which the students will have a chance to explore an actual section outside to determine the area and perimeter of a set location.
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Title: Finding Area with a geoboard
Description:
Students will use a geoboard to visualize the concept of square units, as well as measure with those units. They will also be able to visualize the formal formula to different polygons after working with this manipulative.
Standard(s):
Subject: Mathematics (3  4)
Title: Finding Area with a geoboard
Description: Students will use a geoboard to visualize the concept of square units, as well as measure with those units. They will also be able to visualize the formal formula to different polygons after working with this manipulative.
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Title: Abundant Area
Description:
This is an inquiry and technologybased lesson that allows students to discover the relationship between perimeter and area. Students apply problemsolving strategies to solve the reallife problem posed in this lesson. This lesson may easily be divided into sections and completed over several days if needed.
Standard(s): [MA2015] (4) 21: Apply the area and perimeter formulas for rectangles in realworld and mathematical problems. [4MD3]
Subject: English Language Arts (4), or Mathematics (3  4), or Technology Education (3  5)
Title: Abundant Area
Description: This is an inquiry and technologybased lesson that allows students to discover the relationship between perimeter and area. Students apply problemsolving strategies to solve the reallife problem posed in this lesson. This lesson may easily be divided into sections and completed over several days if needed.
Thinkfinity Lesson Plans
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Title: Another Look at Fractions of a Set
Description:
In this lesson, one of a multipart unit from Illuminations, students identify fractions in realworld contexts from a set of items that are not identical. Students develop skills in problemsolving and reasoning as they think about their set and how to create new sets given specific fractional characteristics.
Standard(s): [MA2015] (5) 24: Represent realworld and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5G2]
Subject: Mathematics Title: Another Look at Fractions of a Set
Description: In this lesson, one of a multipart unit from Illuminations, students identify fractions in realworld contexts from a set of items that are not identical. Students develop skills in problemsolving and reasoning as they think about their set and how to create new sets given specific fractional characteristics. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Covering the Plane with RepTiles
Description:
In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Reptiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved.
Standard(s): [MA2015] GEO (912) 16: Use the properties of similarity transformations to establish the angleangle (AA) criterion for two triangles to be similar. [GSRT3]
Subject: Mathematics Title: Covering the Plane with RepTiles
Description: In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Reptiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Perimeter and Area of a Rectangle
Digital Tool:
Online Math Game Web Address URL:
http://www.mathplayground.com/area_perimeter.html Standard(s):
[MA2015] (3) 22: Relate area to the operations of multiplication and addition. [3MD7] Digital Tool Description: This tool is an online game, which not only grabs the students' attention, but also enables them to enhance their knowledge and understanding of finding perimeter and area. The tool reteaches the concepts of perimeter and area and then allows students to practice with using measurement and formulas to find the perimeter and area.
Title: Perimeter and Area of a Rectangle Digital Tool: Online Math Game Digital Tool Description: This tool is an online game, which not only grabs the students' attention, but also enables them to enhance their knowledge and understanding of finding perimeter and area. The tool reteaches the concepts of perimeter and area and then allows students to practice with using measurement and formulas to find the perimeter and area.
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: IGD: Area of a Parallelogram
Description:
This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram.
Standard(s): [MA2015] GEO (912) 11: Prove theorems about parallelograms. Theorems include opposite sides are congruent, opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals. [GCO11]
Subject: Mathematics Title: IGD: Area of a Parallelogram
Description: This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Interactive Geometry Dictionary: Areas in Geometry
Description:
This student interactive, from Illuminations, demonstrates how to find the area of three common shapes. Interactive investigations demonstrate finding the area of a rectangle, parallelogram, and triangle.
Standard(s): [MA2015] GEO (912) 12: Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. [GCO12]
Subject: Mathematics Title: Interactive Geometry Dictionary: Areas in Geometry
Description: This student interactive, from Illuminations, demonstrates how to find the area of three common shapes. Interactive investigations demonstrate finding the area of a rectangle, parallelogram, and triangle. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

