The online assessment demonstrates knowledge of concepts utilized in Geometry. The multiple choice questions test students on mathematical reasoning and proof.

A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.

Assess students understanding of proportional relationships with this assessment using speed.

Students demonstrate understanding of proportional relationships when completing an assessment.

This is a good task to work with kids to try to explain their thinking clearly and precisely, although teachers should be willing to work with many different ways of explaining the relationship between the magnitude of the factors and...

Mathchallenge offers this mathematical reasoning problem, a one star problem requiring nothing more than a logical mind and paper and pencil, to deduct the painted faces problem

[Free Registration/Login may be required to access all resource tools.] This concept introduces students to inductive reasoning and provides many examples of inductive reasoning.

An explanation and description of deductive reasoning in solving problems at this site from The Math Forum. Simple and helpful information.

Have you ever wondered why manhole covers are round? Believe it or not, there is a logical, mathematical reason. See if you can figure it out in this NCTM Math Challenge for Families activity. A one-page activity with suggested life...

[Free Registration/Login may be required to access all resource tools.] Use inductive reasoning to solve problems.

This lesson introduces deductive reasoning and the laws of logic. It is 4 of 7 in the series titled "Deductive Reasoning and the Laws of Logic."

This lesson introduces deductive reasoning and the laws of logic. It is 6 of 7 in the series titled "Deductive Reasoning and the Laws of Logic."

This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...

The purpose of this task is to see how well students students understand and reason with ratios. This task was adapted from problem #14 on the 2011 American Mathematics Competition (AMC) 8 Test. Aligns with 7.RP.A.3. The site provides a...

This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...

This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...

Apply the reasoning and proof standard to a problem based on the Fraction Tracks game. Students practice building fractions by combining fraction pieces.

Volume 1 in an eworkshop Guide to Effective Instruction in Math outlines and illustrates instructional strategies for explaining five big ideas of number sense and numeration to students in grades 4 through 6: quantity, operational...

National Council of Supervisors of Mathematics: Button Pattern provides a teacher learning module, on how to effectively teach button pattern which is used to develop skill in reasoning about problems, unpacking others' reasoning and...

This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. Aligns with CCSS.Math.Content.3.NF.A.3.d Compare two fractions with the same...

The resource investigates tautological implications and tautological equivalences. The tutorial examines direct reasoning, indirect reasoning, and disjunctive syllogism. Students learn about logic concepts through notes and examples....

The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning. Aligns with CCSS.Math.Content.4.OA.A.1 Interpret a multiplication equation as a comparison

The resource investigates predicate calculus. The tutorial examines propositional calculus, universal quantifiers, mathematical statements, and divisibility. Students learn about the logic concepts through notes and examples. Practice...

At first glance, this might seem like an impossible problem because the number $7^{2011}$ is much too large to evaluate even with a calculator. It requires a starting point, and, to many, such a starting point might not be obvious....