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Grade 7, Math
Std #7:
Determine the transformation(s), including translations, reflections, or rotations, used to alter the position of a polygon on the coordinate plane.
  • Determining the type of symmetry (rotation or line) found in a reflection or rotation
  • Graphing transformation of quadrilaterals on the Cartesian plane by plotting the vertices
  • Graphing figures which are similar to other figures using dilations  

Lesson Plans:

A World of Symmetry
Students develop mathematical reasoning, identify symmetrical patterns, increase language skills by speaking and listening, and respond to and analyze works of art.

Translations, Reflections, and Rotation
This lesson is designed to introduce students to translations, reflections, and rotations.

Geometry in Tessellations
This lesson allows students to examine tessellations and their geometric properties.  The activity and discussion may be used to develop students' understanding of lines, planes, angles, and polygons.

Visual Patterns in Tessellations
This lesson allows students to examine the mathematical nature of art, tillings and tessellations.  The activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns and explore the role of mathematics in nature and world culture.

Graphing Constellations:
A basic coordinate graphing activity to make diagrams of some well known constellations.

Graphing Leaves: 
Students gather leaves and trace them on graph paper.  They plot the coordinates that approximate the shape of the leaves and share those coordinates as "worksheets for other students to complete.

Coordinate Graphing: 
Students will become familiar with plotting and locating points on the coordinate plane.  Gives students the opportunity to practice plotting points with immediate feedback. Includes online graphing practice.

Architectural Clues: 
Students identify meaning in visual forms, understanding that there is a visual as well as a verbal language.

Plotting and Mapping A 20 m X 20 m Plot of Land: 
Handheld or tablet computers allow students to log data collected.

Dueling Pinwheels: 
Using the Geometer's Sketchpad, students explore geometric transformations by creating their own animated graphics.

Modeling a Ferris Wheel: 
Using the Geometer's Sketchpad, students create models of physical devices using dynamic geometry.

Repeated Reflections of an "R": 
Students draw designs with reflective symmetry and rotational symmetry

What's the Point?
A FunBrain activity in which students must correctly locate coordinates on a graph.

Graphing and the Coordinate Plane: 
This lesson is designed to introduce students to graphing ordered pairs of numbers on the coordinate plane. Includes online activity.

 

Resources:

Educational JAVA Programs: 
This Web site contains Java™ applets that can be used as tools to help and enhance the education of children.

Find Hurkle: 
Online puzzle. Students identify coordinates to locate hidden creature.

Escher Tessellations: 
Activity giving instructions for 12 different types of Escher tessellations.

Math Cats Tessellations: 
A very fun site with in-depth directions for creating tessellations.

Polygon Playground:
A fun site where students can explore symmetry, tessellations, and more.

Planet Hop: 
With this interactive activity, students must locate planets by using coordinates, and they must also enter coordinates to identify planets.

 

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