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Grade 6, Math
Std #4:
Identify two-dimensional and three-dimensional figures based on attributes, properties, and component parts.
  • Classifying quadrilaterals based on their attributes
  • Identifying line and rotational symmetries of polygons
  • Classifying triangles as right, obtuse, or acute

Lesson Plans:

Learning Geometry:
A series of on-line videos for teachers related to various geometry  concepts.

Learner.org - What is Geometry?
In this lesson, students will learn to solve visual geometric problems, use mathematical language and construct basic objects.

Learner.org - Triangles and Quadrilaterals
Students will classify, determine a rule for creating triangles and construct a triangle and quadrilateral.

Learner.org - Polygons
Students will broaden thinking about polygons, classify polygons and begin to understand mathematical definitions.

Learner.org - Parallel Lines and Circles
Students will be introduced to Geometer's Sketchpad, study parallel lines, circles and use technology.

Learner.org - Dissection and Proof
In this lesson, students will learn to dissect geometric figures into pieces you can rearrange to form different geometric figures.  Use geometric language to describe your reasoning, justification, and solutions to problems and prove the midline theorem.

Learner.org - The Pythagorean Theorem
Students will learn how to examine proofs, apply the Pythagorean theorem and use the distance formula

Learner.org - Symmetry
In this lesson, students will learn about and explore symmetry.

Learner.org - Similarity
Students will explore geometric similarity, study similar triangles and explore basic ideas of trigonometry.

Learner.org - Solids
Students learn various aspects of solid geometry, explore platonic solids and examine 2-D properties such as nets and cross sections.

Learner.org - Classroom Case Studies
In this session, we will examine how geometry as a problem-solving process might look when applied to situations in your own classroom. This session is customized for three grade levels.

Math Forum - 3-D Visualization Activity:
Students will draw a 3-d object and use appropriate vocabulary.


An Introduction To Quadrilaterals: 
This lesson is designed to introduce students to quadrilaterals. Included in this lesson are discussions of parallelograms, rectangles, and trapezoids.

Plane Geometry:
Students will demonstrate a sense of spatial awareness and familiarity with two dimensional shapes and recognize relationships between geometry and the environment.

Tantalizing Tessellations: 
These activities ask students to respond to the concepts of tessellations. 

Tessellation Tutorial: 
Step by step directions for making tessellations using a computer's paint program.

Equilateral Triangles and Beyond: 
Steps for constructing an equilateral triangle.

Graphic Design:
Using Symmetry to Create Corporate Logos

Symmetry: 
In this session, students will explore geometric versions of symmetry by creating designs and examining their properties.

Fraction Facts: 
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.  There are several computer based games embedded in these lessons.

Skill in Arithmetic - Proper Factions, Mixed Numbers, Improper Fractions
What is a common fraction?  What is a proper fraction?  How are the proper fractions named?

Skill in Arithmetic - Equivalent Fractions
What are equivalent fractions?  How can we know when fractions are equivalent?

Skill in Arithmetic - Compare Fractions
How can we compare fractions with the same numerator?  How can we compare fractions with the same denominator?

Beat the Calculator:
Math challenge demonstrating concepts that allow students to rapidly compute fractions mentally.

 

Resources:

Equivalent Fraction Matching Game:
Fast paced, great for students working in pairs.

Dan Brown:  Ambigrams
An ambigram is a word written in such a way that it is legible both right side-up and upside-down.  Ambigrams are an ancient art form and play heavily into the mysteries of Dan Brown's books.

How Would You Hang This Sign? 
This site gives an example of two words that look the same when they are flipped together.  It is a great launch for a math lesson on symmetry.

The Four Types of Symmetry in the Plane:
An explanation with diagrams.

Spike's Game Zone: 
Colorful interactive activities and games that demonstrate fraction concepts.

AAA Math - Subtracting Mixed Numbers:
Short self paced lesson explaining how to subtract fractions with a self check game following the lesson.

Quia:  Subtracting w/ Renaming Mixed Numbers:
Students have their choice of matching, flashcards, and concentration games focusing on subtracting mixed numbers where renaming is necessary.  All three of these games are in either Java and Non-Java versions.

Geometric Figures Fast Facts:
Definitions and formulas for circles rectangles, and triangles.

Figures and Polygons:
A list of definitions and explanations about various geometric figures and polygons.

Geometry Problem of the Week

Polyhedra in the Classroom: 
This is a list of activities designed to allow students an opportunity to work on specific mathematical ideas through the use of technology.

Classroom Polyhedra Activities: 
Ideas and plans for many polyhedra models.

Geometry K-12: 
A list of helpful resources and activities.

Mathematics Museum:
This is a mathematics website for Japanese high school students.  It has wonderful geometry animations.

Totally Tessellated: 
This site gives students a comprehensive introduction to tessellations and explains the basic math that is used in creating them

Tessellations:
This site brings together math art, and fun by exploring tessellation activities.

Tessellations:
A list of links to other resources for tessellations.

TLS Books:
Subtracting Mixed Numbers with instructions.

Shapes and Patterns made from Paper Circles
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Students us paper circles to create other geometry shapes

Geometrical Activities with Magic Paper
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Making and learning from shapes created simply from "A" paper

Window Patterns with Geometrical Shapes
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Overlay paper triangles, kites or rectangles to make stars

Where There Are No Instruments
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Using books to construct shapes on the blackboard

Geometrical Activities with a piece of string
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Using string figures in mathematics

A Simple Number Generating Device
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Making a number roller from a strip of card

Multicultural Mathematics
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Activities with closed loops; Rangavalli, Drami

Beadwork Mathematics
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Linking number work to African bead patterns

Match Mathematics
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Puzzles, games and investigations with matches and matchboxes

Simple Calculator Activities
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Where there is one calculator per class

Activities with Squared Paper
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  The Sierra Leone Project

Tangrami
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  A Folding Paper Puzzle

Pebble Puzzles
Use paper to explore mathematical concepts, develop creativity, and encourage deduction, problem solving and a delight in mathematical shapes.  Developed for Mathematics classes in the Solomon Islands

History of Geometry: 
A brief lesson by Cynthia Lanius.

 

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