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ALEX Lesson Plans
Thinkfinity Lesson Plans
Subject:
Mathematics
Title:
Exploring the Isometric Drawing Tool
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Description:
In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. They explore polyhedra using different representations and perspectives.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Covering the Plane with Rep-Tiles
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Description:
In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Rep-tiles 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
Subject:
Mathematics
Title:
Cyclic Figures
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Description:
Students will recognize rotation symmetry in figures and examining various rotation symmetries.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Describing Reflections
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Description:
In this lesson, one of a multi-part unit from Illuminations, students learn how reflections work and what happens when two or more reflections are applied one after the other. They use interactive Java applets to examine the reflection of a point and how to describe reflections.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Dihedral Figures
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Description:
Students will recognize dihedral symmetry and reflections in figures and examining various symmetries.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8,9,10,11,12
Subject:
Mathematics
Title:
Finding What Doesn't Change
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Description:
In this lesson, one of a multi-part unit from Illuminations, students predict the effect of a rotation through a given angle. They also learn to predict the effect of two or more rotations performed one after the other, and they find angles that leave a figure unchanged.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Reflections Across Two Mirror Lines
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Description:
In this lesson, one of a multi-part unit from Illuminations, students learn what happens when a design is reflected twice across two different mirror lines. They use interactive Java applets to explore reflections across parallel and intersecting mirror lines.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Relating Rotations to Symmetry
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Description:
In this lesson, one of a multi-part unit from Illuminations, students investigate the relationship between rotations and the symmetry in a figure or a design. They use an interactive Java applet to illustrate rotational symmetry and investigate cyclic designs and point symmetry.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Relationships Between Reflections and Symmetry
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Description:
In this lesson, one of a multi-part unit from Illuminations, students learn the properties of designs that have bilateral symmetry. They also make their own designs and investigate dihedral symmetry.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Symmetries I
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Description:
In this unit of four lessons, from Illuminations, investigate rotational symmetry. They learn about the mathematical properties of rotations and have an opportunity to make their own designs.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Symmetries II
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Description:
In this unit of four lessons, from Illuminations, students use Java applets to investigate reflection, mirror, or bilateral symmetry. They learn about the mathematical properties of mirror symmetry and have a chance to create designs with mirror symmetry.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Symmetries III
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Description:
This lesson, from Illuminations, helps students to understand how translations work and what happens when two or more translations are applied one after the other. Students discover that all band ornaments have translational symmetry and all wallpaper patterns have translational symmetry in at least two directions.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Symmetries IV
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Description:
This lesson, from Illuminations, helps students to understand and identify glide reflections. With the help of a Java applet, students construct glide reflections using a translation and a reflection. Students then identify glide reflections from groups of band ornaments and wallpaper patterns.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations
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Description:
The interactive figures in this four-part example from Illuminations allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Reflections
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Description:
This is part three of a four-part e-example from Illuminations that features interactive figures that allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Composing Reflections, users can examine the result of reflecting a shape successively through two different lines. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Transformations
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Description:
This is part four of a four-part e-example from Illuminations that features interactive figures that allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Arts,Mathematics,Social Studies, Language arts
Title:
History on Stage Pop-Up Lesson
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Description:
This lesson plan, developed in support of the exhibition Paper Engineering: Fold, Pull, Pop, and Turn , introduces students to the variety of mechanisms included in movable books and encourages them to build their own pop-up in support of a social studies lesson. Making pop-ups subtly reinforces student's understanding of mechanical movement and helps budding architects, designers, and engineers begin to envision objects three-dimensionally.
Thinkfinity Partner:
Smithsonian
Grade Span:
5,6,7,8
Subject:
Language Arts,Mathematics
Title:
Go the Distance
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Description:
This lesson is the fourth part of a four-part Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.''
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Archimedes' Puzzle
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Description:
In this lesson, students learn about the history of the Stomachion, an ancient tangram-type puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces.
Thinkfinity Partner:
Illuminations
Grade Span:
3,4,5,6,7,8
Subject:
Mathematics
Title:
Algebraic Transformations
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Description:
In this unit of two lessons, from Illuminations, students learn about the commutative and associative properties using geometric shapes. They investigate the concepts first using a rectangle then using a plus sign shape and a triangle.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Commutative Rectangle
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Description:
In this lesson, one of a multi-part unit from Illuminations, students investigate the concepts of identity, inverse, commutativity, and associativity using a geometric model. Moves are performed with a rectangle, and the results of an operation that combines two moves are analyzed. Students determine if the operation is commutative or associative, if an identity element exists, or if there are inverses for any of the moves.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8