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Pythagoras' Theorem
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
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Extra Practice with Proofs
In this practice with proofs worksheet, students give a reason for each step of a proof. They complete missing portions of a proof. This one-page worksheet contains three multi-step problems.
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The Pythagorean Theorem Lesson 2
Learners discuss and review examples of the Pythagorean Theorem using a GSP, Geometer's Sketchpad, activity.
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Proofs
In this geometric proof worksheet, students compose 20 triangle congruency proofs. Students will decide if there is enough information in problems 1-6 to prove if any triangles are congruent. In problems 17 to 20, students use given...
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SSS, SAS, ASA, and AAS Congruence
Students will determine if triangles are congruent and state the appropriate congruence theorem. In this geometry lesson, students will determine what information is needed to determine if a pair of triangles are congruent using ASA,...
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Right Triangle congruence
Students will determine if two triangles are congruent and which property is used. In this lesson on right triangles, students will determine what additional information is need to make a pair of triangles congruent.
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The Pythagorean Theorem
Young scholars create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas...
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Easy Worksheet: Counterexamples
In this counterexamples worksheet, students solve 10 short answer problems. Students prove the given statements false by providing a counterexample thus disproving the statement.
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Writing to Argue
Students write an argument using a clear structure and argumentative techniques. In this persuasive writing lesson, students brainstorm, write, and peer edit an argumentative essay. Worksheets include the prompt, facts and quotes, and a...
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Conducting Research
Third graders conduct research. In this conducting research lesson, 3rd graders discuss the importance of nonfiction text in providing factual information. Students write questions about an assigned topic and research using informational...
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Vertical Tower 2
In this trigonometry worksheet, students prove that for the given conditions of the problem that cos y = cos2 x. The one page worksheet contains one problem with the solution.
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Algebraic Proofs for Repeated Digits
In this proof worksheet, students write two proofs for why they get repeated digits when following a series of math operations. The solutions are provided.
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From Hypothesis to Conclusion...Reading Maps to Understand Proofs
Tenth graders explore the concept of proof. In this proof lesson, 10th graders work in groups to collectively write proofs for directions to places on a map. Students give directions to specific places in big cities such as from the New...
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Proofs in Coordinate Geometry
In this coordinate geometry activity, students identify the lengths of a quadrilateral and find the slope of a line. They use proofs to identify the characteristics of given quadrilaterals. This one-page activity contains ten problems.
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Identify Similar Triangles With Proofs
In this similar triangle instructional activity, students write a two-column proof to explain why determined triangles are similar. Given some line lengths and angle measurements, students use proofs to identify the ratio of specified...
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Tests for Parallelograms
In this tests for parallelograms worksheet, 10th graders solve 7 various forms of questions that relate to testing for parallelograms in the figures shown. First, they find the values of x and y that insure each quadrilateral is a...
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Verifying Segment Relationships
In this verifying segment relationships worksheet, 10th graders solve 3 different proofs by verifying the segment relationship in each. They complete each proof given a specific statements supporting the statement with reasons. Then,...
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Real Life Challenge
In this consumer mathematics instructional activity, students use the newspaper to complete the sheet and figure out their budget for the next six months. They include parenting challenges and a new baby in their budget factors.
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The Proof
Students will construct simple curves on graph paper by connecting a series of points between the vertical and horizontal axes. They share their designs and explain the patterns.
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Solving Equations
In this Algebra I worksheet, 9th graders solve basic equations, writng a proof of the solution and justifying each step. The one page worksheet contains four questions. Answers are not included.
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Volume of a prism
In this geometry worksheet, 10th graders determine the volume of various prisms. The one page worksheet contains two problems. Answers are not included.
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Quilt Patch Proof
Students construct a convincing argument that the same amount of fabric is needed for each color of quilt being made in a specific design. They justify the relationship between vertical angles and the sum of the interior angles. Students
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Pythagorean Theorem Proof
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.