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Illustrative Mathematics

Right Triangles Inscribed in Circles I

For Teachers 9th - 10th Standards
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
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Lesson Plan
Everyday Mathematics

Mathematics Within: Slope and Triangles

For Teachers 8th - 10th Standards
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
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Lesson Plan
Curated OER

Pass It On

For Teachers 5th
Fifth graders participate in a class activity that helps them learn some geometric terms along with their definitions. They describe relationships between two and three-dimensional shapes and analyze attributes and properties of...
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Lesson Plan
Curated OER

Monster Symmetry

For Teachers 3rd
Third graders understand what a line of symmetry is and how to draw symmetrically. In this monster symmetry lesson, 3rd graders create an original monster that is symmetrical. Students participate in additional symmetry activities.
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Lesson Plan
Curated OER

Grade 5: Testing for Tessellations

For Teachers 5th
Fifth graders use formal geometric language to describe polygons (and other shapes) that will tessellate the plane and those that will not. Students make generalizations about the characteristics of a polygon (or other shape) that will...
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Lesson Plan
Curated OER

Changing Twines: Exploring Area and Perimeter

For Teachers 3rd
Third graders review formulas for area and perimeter in quadrilaterals. They arrange pre-cut twine on a centimeter graph paper to create non-congruent quadrilaterals. They calculate the perimeter and area of each form.
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Lesson Plan
Curated OER

Transformations, Tessellations, and Technology

For Teachers 6th - 8th
Young scholars complete a unit about transformations and tessellations. They explore various tessellation websites, determine which shapes tessellate, complete a log about which website activities they complete, and create a...
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Lesson Plan
Curated OER

Angles, Triangles, Quadrilaterals, Circles and Related

For Teachers 6th - 8th
Students classify angles. In this angles lesson, students explore the characteristics of angles, triangles, quadrilaterals and circles. They identify polygons and sing a classifying angles song. Students participate in a manipulative...
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Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
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Lesson Plan
Curated OER

Who Am I? (Middle School)

For Teachers 3rd
Third graders complete a classroom game used to build understanding of two and three-dimensional shapes. Diagonals, sides, regularity, congruency, angle measurements, parallels, perpendicular, faces, and edges are a few of the vocabulary...
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Lesson Plan
EngageNY

Rotations

For Teachers 9th - 10th Standards
Searching for a detailed lesson plan to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson plan depending on each parameter. They construct models depending...
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Lesson Plan
Curated OER

Algebra/Geometry Institute: Area of Polygons

For Teachers 6th - 8th
Students find the area of polygons.  In this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons.  They identify each given figure and determine the appropriate formula needed to...
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Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students complete worksheets involving rotational symmetry. In this geometry lesson, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the relationship...
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Lesson Plan
Curated OER

Reflections over Two Lines & Dilations

For Teachers 7th - 9th
Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
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Lesson Plan
Curated OER

Geometry Problem Set I

For Teachers 10th - 11th
Students prove angles congruent by use of vertical angles definition, subtraction postulate, and transitivity postulate.
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Lesson Plan
Pennsylvania Department of Education

Tetrominoes and Translations

For Teachers 7th - 9th
Young scholars explore geometry by participating in a pattern identification activity. In this tetrominoes lesson, students define the characteristics of congruent and symmetrical shapes. Young scholars practice translating shapes across...
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Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles

For Teachers 9th - 10th
Students identify similar and congruent right triangles. In this geometry lesson, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
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Lesson Plan
Curated OER

Working With Pattern Blocks

For Teachers 5th
Fifth graders solve mathematical problems using manipulatives in this math lesson for the fifth grade classroom. Various activities are suggested for lesson implementation making this lesson highly adaptable to fit the needs of the...
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Lesson Plan
Curated OER

Translations

For Teachers 9th - 10th
Students perform translations on different polygons. In this geometry lesson, students create figures that will be used as an assessment to represent transformation. They perform hands on creation and relate it to the real world.
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Worksheet
Curated OER

Transformations and Translations

For Students 7th - 8th Standards
In this transformations/translation instructional activity, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.
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Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles.

For Teachers 8th - 10th
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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Worksheet
Curated OER

Math Vocabulary Definitions-Multiple Choice

For Students 4th - 6th
In this math vocabulary worksheet, students complete 15 multiple choice problems, choosing the correct definition for a set of math terms. A reference web site is included for additional activities. 
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Lesson Plan
Curated OER

Silly Symmetrical Names

For Teachers 4th
Fourth graders participate in hands-on activities to introduce them to the concept of symmetry. They make a silly symmetrical picture out of their names after gluing them onto a larger sheet of construction paper. This is a really...
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Lesson Plan
Curated OER

Geometry

For Teachers 9th - 11th
Students are introduced to the basics of Geometry. Using cutout shapes, they identify whether they are polygons by using the properties of polygons. They practice drawing shapes they are going to be using on an everyday basis and...

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