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Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree?

For Teachers 9th - 12th Standards
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
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Worksheet
Curated OER

Congruent figures

For Students 3rd - 4th Standards
In this congruency worksheet, students complete problems dealing with congruent and non-congruent figures. Students complete 5 short answer and multiple choice problems.
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Worksheet
Curated OER

Three- and Two- Dimensional Geometry

For Students 7th
In this three- and two- dimensional geometry worksheet, 7th graders solve 12 various problems related to geometric shapes and measurement. They first use paper and a pencil to sketch the front, side, back, top and bottom views of each...
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Interactive
CK-12 Foundation

Properties of Congruence: Polygon Party

For Students 9th - 11th Standards
Don't let congruent figures drag you down. Young mathematicians use an interactive to drag figures onto one another to determine if the figures are congruent.
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Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
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Activity
Exploratorium

Handy Measuring Ratio

For Teachers 4th - 8th Standards
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
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Lesson Plan
Curated OER

Similar or Not?

For Teachers 5th
Fifth graders define the meaning of similar and congruent using concrete objects. They make similar and congruent figures using geoboards. They draw their figures on dot paper, and color their designs.
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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

Geography: Lengths, Perimeter, and Area of Similar Objects

For Teachers 6th
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.
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Worksheet
Curated OER

Geometry: Angles

For Students 11th - 12th
In this angle worksheet, students find the value for a given variable. They use similar figures, alternate interior angles, side angle side, and other geometric theorems and proofs to determine the value of the given variable. This...
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Lesson Plan
Curated OER

Fractals Teachers' Notes

For Teachers 5th - 8th
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
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Lesson Plan
Curated OER

Geometry History Lesson

For Teachers 10th
Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
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Lesson Plan
Curated OER

CSI Investigation of Congruence and Similarity

For Teachers 9th - 12th
Students differentiate between similarity and congruence using polygons. In this geometry lesson, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
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Lesson Plan
Curated OER

Proportional Similarities

For Teachers 8th - 10th
Students model the geometric relationship with graphing. For this geometry lesson, students differentiate between parallel, perpendicular, similar and congruent shapes. They use properties of polygons to differentiate their shapes...
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Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle...
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Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula. 
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Activity
PBS

Using Symmetry to Create Corporate Logos

For Teachers 4th - 8th Standards
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the alphabet and...
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Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
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Worksheet
Curated OER

Countdown Challenge: Tangrams

For Students 7th - 8th
In this tangram worksheet, students find the area of each tangram shape. Afterwards, they name each piece and find the area of combined figures. This one-page worksheet contains approximately 25 problems.
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Lesson Plan
Curated OER

Investigation-Looking at Polygons

For Teachers 8th
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
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Lesson Plan
Curated OER

Using the Web to Explore Shapes

For Teachers 3rd
Third graders research the Internet to locate geometric designs in familiar buildings. They review shapes, solids, angles and symmetry as they research websites of familiar buildings in Louisville. They record the information they see...
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Lesson Plan
Curated OER

Plane and Solid Figures

For Teachers 9th - 11th
Students define a plane and a solid shape. In this geometry lesson, students compare and contrast different geometric shapes as they relate to solids. They name the geometric solids based on their sides and edges.
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Lesson Plan
Curated OER

Tennis Triangle

For Teachers 9th - 12th
Young scholars calculate the height of a tree or flagpole. They measure the shadow of the tree or flagpole and the length of a shadow of a meterstick. Using similar triangles, calculate the heigh. Devise two additional ways in which to...
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Lesson Plan
Curated OER

Ratio Relationships

For Teachers 9th - 11th
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.