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Lesson Plan
Curated OER

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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Lesson Plan
Curated OER

Number Theory

For Teachers 8th - 12th
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these...
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Lesson Plan
Curated OER

Discovering Math: Concepts in Geometry

For Teachers 8th - 12th
Middle and high schoolers explore the concept of proving the Pythagorean Theorem. They research proofs of the Pythagorean Theorem. Pupils create posters of proofs, and research Greek mathematicians.
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Lesson Plan
Curated OER

Getting It Right!

For Teachers 6th - 8th
Young scholars construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
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Lesson Plan
Curated OER

Euclidean Direct Proofs

For Teachers 9th - 10th
Learning how to prove theorems in geometry can be challenging. This resource explains what a proof is, and the different styles for proofs. It also contains links to web-based practice problems that help guide learners though example...
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Worksheet
Curated OER

Product + 1: Integers

For Students 9th - 12th
In this integers worksheet, students solve 1 word problem using proof.  Students prove their hypothesis of the result of multiplying four consecutive positive integers and adding one to the product.
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Worksheet
Curated OER

Proof That One Equals Zero (Using Calculus)

For Students 11th - 12th
In this proofs worksheet, learners evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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Worksheet
Curated OER

A Different Proof of the Law of Cosines

For Students 9th - 12th
In this proofs worksheet, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.
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Lesson Plan
Curated OER

TI Workshop Presentation Guide for "Preparing for Proofs"

For Teachers 9th - 12th Standards
Pupils discover proofs using the TI in this geometry lesson. They collect data from newspaper and magazines and analyze their data using the TI, relating it to proofs.
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Lesson Plan
Curated OER

Prize Numbers

For Teachers 6th - 12th
Learners explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify Goldbach's...
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Worksheet
Curated OER

Easy Worksheet: Congruent Segments

For Students 9th - 12th
For this congruent segments worksheet, high schoolers solve 6 short answer problems. Students justify steps in a proof by identifying the reason for various steps. High schoolers justify steps of proofs using the transitive property,...
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Worksheet
Curated OER

Proofs: Solving Equations

For Students 9th - 12th
In this proofs worksheet, students solve 4 short answer problems. Students identify the correct reason for each step in solving each multi-step equation.
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Lesson Plan
Curated OER

Inductive vs. Deductive Proof

For Teachers 12th
Twelfth graders differentiate between inductive and deductive proofs.  In this differentiating between inductive and deductive proofs lesson, 12th graders compare strengths and weaknesses of each type of proof.  Students discuss an...
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Worksheet
Curated OER

Geometry Proofs

For Students 10th
In this geometry proofs worksheet, 10th graders solve and complete 6 different problems that include various proofs. First, they prove a triangle has equivalent angles as given. Then, students prove two angles supplementary as described.
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Worksheet
Curated OER

Congruent Triangles

For Students 10th
In this congruent triangles worksheet, 10th graders solve and complete 10 different problems that include various forms of triangles. First, they name the method for proving each set of triangles congruent using the given information....
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Worksheet
Curated OER

Congruent Triangles

For Students 10th
In this congruent triangles worksheet, 10th graders solve and complete 10 different problems to determine whether each set of triangles is congruent or not. First, they copy each diagram onto a piece of paper and mark up the paper with...
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Worksheet
Curated OER

Quadrilaterals

For Students 10th
In this quadrilaterals worksheet, 10th graders solve and complete 10 different problems that include various types of proofs and quadrilaterals. First, they read the given information for each quadrilateral illustrated. Then, students...
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Worksheet
Curated OER

Quiz: Direct Euclidean Proofs

For Students 10th - 12th
In this Euclidean proof activity, students observe models and read given proofs. Students determine conclusions based upon the given information. This one-page activity contains ten Euclidean proof problems.
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Worksheet
Curated OER

Pre-Proof Warm-Ups

For Students 10th
In this pre-proofs activity, 10th graders solve and complete 10 different problems that include various proofs and their definitions. They use the diagram shown and the given information to write the direct conclusion for each case....
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Worksheet
Curated OER

Proofs

For Students 10th
In this proofs worksheet, 10th graders solve and graph 8 different equations. First, they prove that each triangle is either congruent or similar. Then, students use the concept of corresponding parts of congruent triangles to solve each...
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Worksheet
Curated OER

Proving Triangles Congruent

For Students 10th
In this proving triangles congruent activity, 10th graders solve 5 different problems that include proofs and proving congruence in triangles. First, they determine which postulate can be used to prove the triangles congruent and mark...
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Worksheet
Curated OER

Using Proof in Algebra

For Students 10th
In this using proofs in algebra worksheet, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in the...
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Lesson Plan
Curated OER

The Proof Is in the Picture

For Teachers 9th - 12th
Students select a geometric figure and find an example of the figure in their surroundings. They photograph the figure and write a proof to accompany it. They match photos to proofs.
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Lesson Plan
Curated OER

Mathematics

For Teachers 12th
Twelfth graders explore a variation of proof. In this geometry lesson, 12th graders apply their knowledge of proof to different scenario. They use 3 different tiers to advance through the lesson.