Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 10th graders solve 4 problems that include applying inductive reasoning and conjecturing to each problem. First, they determine if each conjecture is true or false based on the...
Curated OER
Proving Triangles Congruent
In this proving triangles congruent worksheet, 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...
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve 6 various problems and figures related to right triangles. First they identify and describe the 3 theorems and 1 postulate stated that prove 2 right triangles congruent if one of them...
Curated OER
Tests for Parallelograms
In this tests for parallelograms activity, 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...
Curated OER
Verifying Angle Relationships
In this verifying angle relationships worksheet, 10th graders solve and prove various types of problems related to the verification process of various angle relationships. They complete each of the two proofs shown step-by-step, giving a...
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates worksheet, 10th graders solve 6 different problems related to if-then statements and postulates in geometry. First, they identify the hypothesis and conclusion of each conditional statement and...
Curated OER
Using Proof in Algebra
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...
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates worksheet, 10th graders solve 16 various types of geometry problems that include identifying the hypothesis and conclusions of each conditional statement. Then, they write each conditional...
Curated OER
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,...
Curated OER
Real Life Challenge
In this consumer mathematics learning exercise, 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.
Curated OER
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.
Curated OER
The Proof Is in the Picture
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.
Curated OER
Write the Counterexample
In this counterexample worksheet, students provide counterexamples for the four given statements. The solutions are not provided.
Curated OER
Solving Equations
In this Algebra I instructional activity, 9th graders solve basic equations, writng a proof of the solution and justifying each step. The one page instructional activity contains four questions. Answers are not included.
Curated OER
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.
Curated OER
Mathematics
Twelfth graders explore a variation of proof. For this geometry lesson, 12th graders apply their knowledge of proof to different scenario. They use 3 different tiers to advance through the lesson.
Curated OER
Coordinate Proofs
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...
Curated OER
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
Curated OER
Pythagorean Theorem Proof
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Faq About Proofs
This site provides links to questions sent in to Dr. Math about proofs. Topics covered include what proofs are, how to understand them, and how to build them, and much more. Be sure to click on the links which you believe may be helpful.
Maths Challenge
Maths challenge.net: Right Angle Reasoning
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
Oswego City School District
Regents Exam Prep Center: Writing a Proof: Direct Euclidean Proofs
This site is a look into the world of geometric proofs. You'll learn what a proof is and about the different types of proofs. Try the practice page to check your understanding. Teachers can check out the teacher resources for lesson and...
Other
Platonic Realms: Conic Sections
A proof to show that the square root of two is an irrational number, followed by a shorter and even more beautiful proof.
Other
Math Court: A Game of Proving Things
This site contains a game to help students better learn how to write proofs. The game has several different levels. The game can be played online or cards and board may be printed and used in the classroom.