Curated OER
Easy Worksheet: Counterexamples
In this counterexamples learning exercise, students solve 10 short answer problems. Students prove the given statements false by providing a counterexample thus disproving the statement.
University of California
Euclidean Geometry
Go back to where it all began! Investigate how axiomatic systems and Euclidean geometry are based on undefined terms, common notions, postulates, and propositions by examining passages from Euclid's Elements. (Social studies teachers...
EngageNY
Converse of the Pythagorean Theorem
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
EngageNY
End-of-Module Assessment Task - Geometry (module 1)
Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...
EngageNY
Review of the Assumptions (part 1)
What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Mathematics Assessment Project
College and Career Readiness Mathematics Test A1
A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.
Curated OER
Central Valley Math Project
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Curated OER
Countdown Challenge: Platonic Solids - Part I
Use a Platonic solids worksheet to record the number of faces, edges, and vertices of five polyhedra whose faces, edges, and vertices are all identical. For each figure, learners write a proof of Euler's formula (F+V=E+2). They create a...
Curated OER
El Nino Lesson
Students compare graphs of weather occurrences. In this environmental lesson plan, students will being using the website to gather weather related information for a certain time period. The students will then graph the data that will be...
Curated OER
Lesson 3: Proving Facts and Forming Opinions
Time for Kids: Butterflies is used to model the process of determining if a text is based on fact or opinion. Children are taught how to skim for key words, and use headings or chapter names to locate proof of whether or not what...
Curated OER
Snack Attack - Food Packaging
Class members examine a variety of snack foods, noting the packaging that they come in. They work in groups to design a heat-proof and waterproof package that will safely transport a s'more snack. They test to see if it prevents the...
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Illustrative Mathematics
Tangent to a Circle From a Point
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Curated OER
Proving the Pythagorean Theorem
Young scholars solve problems using the pythagorean Theorem. In this geometry lesson, students complete proofs using the Pythagorean Theorem. They share their proofs and solutions with their classmates and family members.
Curated OER
How Do Earthquakes Affect Buildings?
Students simulate earthquakes utilizing an online program, and examine the earthquake-proofing construction for their building. They chart and analyze their simulated data using
Curated OER
Triangles
In this geometry worksheet, 10th graders solve problems involving triangular inequality. They apply the proofs and theorem of triangles to solve these problems. There is an overview and one question.
Curated OER
Government Lesson Plan: Lesson Plan 9
Students examine and compare/contrast the steps of criminal and civil cases. They define key vocabulary terms, develop an outline of a criminal and civil trial, and analyze the differences in standards of proof in legal cases.
Curated OER
Map Coloring
For this math worksheet, students create a map using different colors. They use a specific pattern and can use only four colors. This worksheet is a proof of the making of a map using no more than 4 colors. There is an answer key.
Curated OER
An Ancient Revolution: The Written Word
Students examine the Bible, one of the earliest written sources, as a compilation of narratives, and search the resources on the HERITAGE DVD-ROM for historical "proof" as well as create their own stories and scripts based on ancient...
Curated OER
Earthquake Experiments
Students discuss the effects of earthquakes. For this earth science lesson, students create earthquake models and earthquake-proof buildings. They construct their own seismograph.
Curated OER
Earthquakes
Young scholars examine why earthquakes happen, and where most earthquakes occur in the world. They discuss how engineers and architects try to construct stronger buildings, then design and build an earthquake-proof structure.
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