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PBS
Pbs Mathline: Bead Dazzling (Proportional Reasoning) [Pdf]
A comprehensive instructional activity on algebraic thinking where students create and identify patterns using proportional reasoning. Research based, this instructional activity includes technology connections, items for discussion, and...
Iowa State University
Math Night Resources: Pencil and Paper Games
Play these pencil and paper games to engage learners in critical thinking and reasoning. Written directions are provided along with colorful animation to explain in detail how each game is played and possible strategies needed to win.
Iowa State University
Math Jeopardy
It's time for Jeopardy. Detailed directions and suggested game questions are given for Math Jeopardy. Questions are attached in a PDF file that can be downloaded and printed.
University of Cambridge
University of Cambridge: Nrich: All the Digits
This site has a logic and reasoning math problem.
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Reasoning Skills
A tutorial on reasoning skills focusing on both inductive and deductive reasoning. Has several examples and exercises with answers and discussion.
Microsoft
Microsoft Education Lesson Plan: Candy Is Dandy
Explore color distribution of M&M candies using this detailed lesson plan. An engaging integrated lesson that requires understanding of spreadsheets and formulas, and logical reasoning. Links to related websites.
University of Toronto (Canada)
University of Toronto: Deductive and Inductive Reasoning
Part of a University of Toronto website, this page defines and describes deductive and inductive reasoning in solving mathematical problems.
Organization for Community Networks
Ofcn Lesson Plan: Deductive Reasoning
This OFCN lesson plan offers ideas for incorporating deductive reasoning problems into the classroom.
McGraw Hill
Glencoe Mathematics: Self Check Quiz on Reasoning & Proof
The online assessment demonstrates knowledge of concepts utilized in Geometry. The multiple choice questions test students on mathematical reasoning and proof.
Oswego City School District
Regents Exam Prep Center: Truth Value of Open Sentences
What happens when there is not enough information to solve a problem? Find out at this test prep site, how missing information or "open sentences" can change the value or truth of a math equation. Practice understanding and applying this...
National Council of Teachers of Mathematics
Nctm: Figure This: Vcr
This resource presents an interesting challenge for the serious mathematician with strong reasoning skills. Explore proportional reasoning, probabilities, fractions, and ratios in this challenge to figure out if you always get six hours...
National Council of Teachers of Mathematics
Nctm: Figure This: Thirteen? Oh No! (Pdf)
If you're superstitious you may want to try this math challenge. Test your reasoning and number sense skills by finding out if there is a Friday the 13th every year. Discover how understanding number patterns and reasoning can be helpful...
National Council of Teachers of Mathematics
Nctm: Figure This: Don't Fall In
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...
PBS
Pbs Learning Media: Think Math
Think Math offers a collection of 43 KET-produced resources from Math at the Core: Middle School, including 17 Scale City videos and interactives about proportional reasoning, 14 Wild Fractions animations and games that feature visual...
Maths Challenge
Maths challenge.net: Painted Faces
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
Math Planet
Math Planet: Geometry: Proofs Using Algebra
Examples and a video lesson help to explain proofs and logic. [1:57]
National Council of Teachers of Mathematics
Nctm: Figure This: Pigeonhole Principle
What is the possibility that another student in your school will have your exact same initials? Try this math challenge using logical reasoning and the "Pigeonhole principle," to discover how this could actually happen. An engaging...
Oswego City School District
Regents Exam Prep Center: Working With Logic
Test your logic and knowledge of conditionals, biconditionals, negations, conjunctions, and disjunctions in this twelve-question quiz. Answer each question on your own, then see what the answer and the reasoning behind the answer are.
Other
Nz Maths: Problem Solving Lesson Plans: Level 3 Problems
This New Zealand Problems website is an excellent resource for lesson plans in problem-solving. They are organized into the following categories: algebra, geometry, measurement, numbers, statistics, and logic and reasoning.
Other
Nz Maths Problem Solving Lesson Plans: Level 4
This New Zealand Problem Solving website is an outstanding resource for lesson plans. They are organized into the following categories: algebra, geometry, measurement, numbers, statistics, and logic and reasoning.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Logic Definitions: Inductive & Deductive
This site explains what deductive and inductive reasoning is. The site also explains abductive reasoning.
ClassFlow
Class Flow: Mental Math
[Free Registration/Login Required] This flipchart is a group of one page starter exercises that require students to use logic to find the solution.
Maths Challenge
Maths challenge.net: Kitchen Floor
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to solve how many tiles are needed to complete the kitchen floor pattern.
Maths Challenge
Maths challenge.net: Shaded Grid
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to find the patterns.