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Thinkfinity Lesson Plans
Subject:
Mathematics
Title:
Shape Cutter
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Description:
This student interactive, from Illuminations, allows students to explore how they can decompose shapes and recompose them to make other shapes. Students draw and cut shapes, and also use slides, turns, and flips to move the cut pieces around.
Thinkfinity Partner:
Illuminations
Grade Span:
K,PreK,1,2,3,4,5,6,7,8,9,10,11,12
Subject:
Mathematics
Title:
Frieze Patterns
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Description:
Students can experiment with the seven classes of Frieze patterns with this activity. They can explore the transformations that constitute each of the seven categories.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8,9,10,11,12
Subject:
Mathematics
Title:
Symmetries II: Conclusions
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Description:
In this lesson, one of a multi-part unit from Illuminations, students reflect on what they learned in the three previous lessons. Eight thought questions (with a link to the answers) are provided.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
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:
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:
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:
Isometric Drawing Tool
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Description:
Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D 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
Subject:
Mathematics
Title:
Square Graphs
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Description:
This student interactive, from an Illuminations lesson, allows students to view six different graphs. Each graph plots one characteristic of the square along the horizontal axis and another along the vertical axis. Students then determine which two characteristics are used to make each graph.
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: Identifying Unknown Transformations
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Description:
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
Title:
Recognizing Transformations
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Description:
This lesson introduces students to the world of symmetry and rotation in figures and patterns. Students learn how to recognize and classify symmetry in decorative figures and frieze patterns, and get the chance to create and classify their own figures and patterns using JavaSketchpad applets.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Geoboard Paper
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Description:
This reproducible geoboard grid, from an Illuminations lesson, allows students to complete geoboard activities using pencils and paper.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12