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Interactive
CK-12 Foundation

Conjectures and Counterexamples: An Extra Slice!

For Students 9th - 12th Standards
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
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App
Bytes Arithmetic

Geometry Pad+

For Students 6th - 10th Standards
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
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Lesson Plan
Curated OER

Getting it Right! An Investigation of the Pythagorean Theorem

For Teachers 5th - 8th
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
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Worksheet
Curated OER

Polygon Sum Conjecture

For Students 10th
In this geometry instructional activity, 10th graders identify the missing angles using the polygons sum conjecture. They measure exterior and interior angles using their angle theorems. There are 63 problems.
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Lesson Plan
Curated OER

Spherical Geometry: A Global Perspective

For Teachers 3rd - 12th
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...
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Lesson Plan
Curated OER

Circle Conjectures

For Teachers 9th - 11th Standards
Students are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...
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Lesson Plan
Curated OER

Polygon Sum Conjecture

For Teachers 9th - 10th
Students calculate the sum of the angles of a polygon. For this geometry lesson, students use the interior angle formula of polygon based on the number of sides of the polygon. They identify the missing angle using algebra.
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Lesson Plan
Curated OER

Conjectures and Conclusions

For Teachers 9th - 10th
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson plan, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
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Lesson Plan
Curated OER

Triangle Conjectures

For Teachers 10th
Tenth graders investigate the theorems of ASA, AAS, AAA and ASA. For this geometry lesson, 10th graders discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two angles are formed by...
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Lesson Plan
Curated OER

Contructions and Conjectures

For Teachers 10th - 11th
Students make constructions and conjectures. In this geometry lesson, students construct right, acute and obtuse angles using a straight edge and a protractor. They investigate parallel lines and the angles formed by the angles.
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Lesson Plan
Curated OER

Probability and Geometry

For Teachers 8th - 11th
Students explore the ways Geometry can help solve probability problems. Students describe platonic solids and practice calculating probability using an online resource. They construct dice with various numbers of sides to demonstrate...
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Unit Plan
Mathematics Vision Project

Module 3: Geometric Figures

For Teachers 9th - 12th Standards
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
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Lesson Plan
Curated OER

Conjectures of Intersecting Circles

For Teachers 9th - 10th
Students make conjectures of intersecting circles. In this geometry lesson, students observe circles and their position in space. They investigate and observe two and three dimensional objects.
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Lesson Plan
Curated OER

Conjectures For Intersecting Circles

For Teachers 9th - 10th
Students identify properties of circles. In this geometry lesson, students identify the center of two intersecting circles.They use Cabri software to create circles and move it around to make observation.
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Lesson Plan
Curated OER

Finite Geometry

For Teachers 9th - 10th
Young scholars solve for the area and perimeter of polygons. In this geometry lesson, students identify repeated patterns and create formula to solve problems. They make conjectures and prove hypotheses.
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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

Geometry, Measurement & Reasoning

For Teachers 9th - 11th
Students construct two-column proofs. In this geometry activity, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.
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Assessment
Concord Consortium

Short Pappus

For Students 9th - 12th Standards
It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment...
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Lesson Plan
Curated OER

Geometry Jeopardy

For Teachers 9th - 11th
Students identify the pattern in a problem. In this geometry lesson, students make predictions, collect and analyze data. They apply the idea of scales and measurements to the real world.
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Lesson Plan
Curated OER

Geometry: Classifying Quadrilaterals

For Teachers 6th - 12th
Students use construction technology to identify and find relationships between the attributes of various quadrilaterals. They make and test conjectures about the distinguishing properties of parallelograms, rectangles, rhombuses,...
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Lesson Plan
Curated OER

Indirect Proof and Inequalities in one Triangle

For Teachers 10th
In this geometry worksheet, 10th graders complete an indirect proof and order the sides or angles of a triangle. Also, students determine if a triangle can have sides with the given lengths. The two page worksheet contains twelve...
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Lesson Plan
EngageNY

Circles, Chords, Diameters, and Their Relationships

For Teachers 9th - 10th Standards
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
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Lesson Plan
EngageNY

How Do Dilations Map Lines, Rays, and Circles?

For Students 9th - 10th Standards
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
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Lesson Plan
Curated OER

You Must Still Think Yourself, CAS Can Only Help

For Teachers 9th - Higher Ed Standards
Have the class learn about and make conjectures about a line intersecting a cubic.  In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points.  Students...