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.

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.

In this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.

In this proofs activity, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.

Using inductive and deductive reasoning, geometers prove vertical angles are congruent.  They use patty paper to construct and measure vertical angles.  Then they prove corresponding angles are congruent and consider other conjectures. 

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.

Students explore the concept of angles.  In this angles lesson, students determine the relationships of vertical, complementary, supplementary, and adjacent angles.  Students construct proofs using their Ti-Nspire about vertical angles...

Students participate in a scavenger hunt to find the different attributes of selected objects, to prove the object is a particular shape. Sides, angles, parallel lines, congruent angles, opposite angles, diagonal bisectors, congruent...

Students 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...

In this proofs worksheet, high schoolers solve 4 short answer problems. Students identify the correct reason for each step in solving each multi-step equation.

In this geometry worksheet, students take the derivative of functions. They prove theorems using geometric proofs. There are 13 questions.

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....

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...

In this Euclidean proof worksheet, students observe models and read given proofs. Students determine conclusions based upon the given information. This one-page worksheet contains ten Euclidean proof problems.

In this pre-proofs worksheet, 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....

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...

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...

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.

Students explore the concept of coordinate proofs. In this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...

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...

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.

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...

In this geometric proofs instructional activity, students write 4 proofs involving right angles, supplementary angles, bisectors, triangles, and midpoints.

In this geometry semester review worksheet, students identify similar triangles and write congruence statements. They determine the midpoint of a line, and construct bisectors of a line. Students write proofs, identify lines of symmetry,...