# ALEX Lesson Plan Resources

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ALEX Lesson Plans
Subject: English Language Arts (10), or Mathematics (9 - 12)
Title: Human Angles
Description: This lesson is designed to get your students moving! The lesson focuses primarily on transversals and angles. Students will be able to identify and relate some angles to cheer moves.  This is a College- and Career-Ready Standards showcase lesson plan.

Subject: Mathematics (9 - 12)
Title: Investigation of Special Segments of Triangles
Description: This lesson will enable students to investigate three special segments of triangles in a very concrete way. The students will fold paper triangles to create the segments. This lesson would be a great way for students to explore the properties of the segments and their intersections.

Subject: Mathematics (6 - 12)
Title: Swimming Pool Math
Description: Students will use a swimming pool example to practice finding perimeter and area of different rectangles.

Thinkfinity Lesson Plans
Subject: Mathematics
Description: This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a hexagon to its sides and determine the sum of these perpendicular distances.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Symmetries II: Conclusions       Add Bookmark
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

Subject: Mathematics
Title: Covering the Plane with Rep-Tiles      Add Bookmark
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

Subject: Mathematics
Title: Exploring the Isometric Drawing Tool      Add Bookmark
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

Subject: Mathematics
Description: In this student interactive, from an Illuminations lesson, students act as community planners, trying to place a new medical center equidistant from three cities.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Angle Bisector      Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate angle bisectors. Students read a definition and then construct an angle bisector using the interactive tool. Finally, students take a closer look at the properties of angle bisectors by answering a set of questions and then checking their answers.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Area of a Triangle       Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate how to find the area of a triangle by finding a way to make it look like a simpler shap--one whose area formula is known. Students make a copy of the triangle, and then make a parallelogram using the triangle and its copy. Students then determine that the area of the triangle is one-half that of the parallelogram.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Euler Line      Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate Euler lines. Students read a definition and then construct the Euler line of a triangle using the interactive tool. They learn that the Euler line involves three points associated with triangles: the circumcenter, orthocenter, and centroid.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student interactive, from Illuminations, helps students understand and investigate the median of a triangle. Students read a definition and then use the interactive tool to manipulate and explore the properties of triangle medians by changing the shape of a triangle.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Perpendicular Bisector      Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate perpendicular bisectors, which are lines perpendicular to a segment that divide it into two congruent segments. Students read a definition and then construct a perpendicular bisector of a segment using the interactive tool.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Perpendicular Lines      Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate perpendicular lines. Students read a definition, and then use the interactive to explore the properties of two perpendicular lines.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: IGD: Simson Line      Add Bookmark
Description: This student interactive, from Illuminations, helps students understand and investigate a triangle s Simson line, which is the line passing through the feet of the perpendiculars dropped from P to the three sides of a triangle. Students construct the Simson line for a given triangle using the interactive applet.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Inequalities in Triangles       Add Bookmark
Description: In this Illuminations lesson, students use pasta to create models of triangles and non-triangles in order to investigate the relationship between the longest side of the triangle and the sum of the other two sides of the triangle. In addition, students measure the sides and angles of a scalene triangle and investigate the relationship between the location of the largest angle and largest side in a triangle. There are also links to online activity sheets.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Interactive Geometry Dictionary: Lines in Geometry      Add Bookmark
Description: This student interactive, from Illuminations, explores lines and their importance to geometry. Students can investigate the definitions and properties of perpendicular lines, segments, medians, Euler lines, and more.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Interactive Geometry Dictionary: Areas in Geometry      Add Bookmark
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

Subject: Mathematics
Title: Isometric Drawing Tool      Add Bookmark
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

Subject: Mathematics
Title: Isosceles Triangle Investigation       Add Bookmark
Description: This student interactive, from an Illuminations lesson, allows students to investigate the relationship between the area of the triangle and the length of its base.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Location, Location, Location      Add Bookmark
Description: In this Illuminations lesson, students use a dynamic geometry applet to investigate the relationship between the distances from a point inside a regular polygon to each side. In addition, there are links to online activity sheets and other related resources.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a octagon to its sides and determine the sum of these distances.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Reflect on This      Add Bookmark
Description: In this lesson, from Illuminations, students investigate reflections in a plane using mirrors (or other reflective materials) and a geometry utility. They apply their findings to examination of interior angles of regular polygons.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Reflections Across Two Mirror Lines      Add Bookmark
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

Subject: Mathematics
Title: Relating Rotations to Symmetry      Add Bookmark
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

Subject: Mathematics
Description: This student interactive, from an Illuminations lesson, allows students to investigate a soccer problem by changing the location of a soccer player as well as the distance between the player and the goal posts. The angle changes as the player is moved, and students must therefore determine the player s position so that the angle is maximized.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: In this lesson, one of a three-part unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources.
Thinkfinity Partner: Illuminations

Subject: Mathematics
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

Subject: Mathematics
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

Subject: Mathematics
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

Subject: Mathematics
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

Subject: Mathematics
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

Subject: Mathematics
Description: In this Illuminations lesson, based on the Triangle Classification problem, students attempt to classify triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment. Students classify triangles according to sides and angles. In addition, there are links to online activity sheets and other related resources.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student interactive, from an Illuminations lesson, allows students to turn a segment into a right triangle, an isosceles triangle, and an obtuse triangle.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This transparency, from an Illuminations lesson, asks students to identify all points that create right, obtuse, isosceles, acute, scalene and equilateral triangles when given an AB segment.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a polygon to its sides and determine the sum of these distances.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This reproducible transparency, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular polygon such that the sum of the distances to each side is a minimum.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Description: This student reproducible, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular triangle such that the sum of the distances to each side is a minimum.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations      Add Bookmark
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

Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Identifying Unknown Transformations      Add Bookmark
Description:
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Reflections      Add Bookmark
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

Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Transformations      Add Bookmark
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

Subject: Mathematics
Title: Using Cubes and Isometric Drawings      Add Bookmark
Description: In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context.
Thinkfinity Partner: Illuminations

Subject: Mathematics
Title: Dividing a Town into Pizza Delivery Regions      Add Bookmark
Description: In this Illuminations lesson, students must determine how to divide a town based on which pizzeria is closest to a given location. To solve this problem, students will construct perpendicular bisectors, find circumcenters, calculate area, and use proportions.
Thinkfinity Partner: Illuminations