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...
National Council of Teachers of Mathematics
Nctm: Figure This: Keeping Cool
Is it better to by block ice or crushed ice? Use your logical reasoning and measurement skills to solve this challenge that compares surface area of block ice and the same block cut into three cubes. A one page activity from the NCTM...
University of Toronto (Canada)
Question Corner: Deductive and Inductive Reasoning
A simple discussion of the differences between inductive and deductive reasoning. Helpful to anyone who is having difficulty differentiating between the two.
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 Mathline Lesson: Mix It Up [Pdf]
A lesson based on the story, "Oliver's Fruit Salad," where students explore the concept of proportional reasoning through modeling, student sharing, and questioning. A great introductory lesson for this concept that is sure to engage...
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: The Value of Two Column Proofs
This site explains why we prove things. The explanation gives real world scenarios and an everyday example of why we should learn how to prove things.
University of Cambridge
University of Cambridge: Nrich: Instant Insanity
Excellent interactive challenge working with cube nets to stack them in a specific order. Manipulate the cubes online to solve the problem.
Discovery Education
Discovery Education: Brain Boosters
Discovery School offers a terrific "categorized archive of challenging Brain Boosters." Choose from hundreds of engaging activities pertaining to Categorization, Lateral Thinking, Reasoning, Logic, Word and Letter Play, Spatial...
PBS
Pbs Learning Media: Sesame Street
Do you know how to get to Sesame Street? This collection is designed to engage preschoolers in everyday learning by teaching core skills in Math, Literacy, STEM, and Social and Emotional Development. Here you'll find hundreds of videos,...
Maths Challenge
Maths challenge.net: Beam of Light
A "one star" geometry problem that requires finding the visual pattern and applying and pattern extensions to solve the beam of light problem.
Maths Challenge
Maths challenge.net: False Ceilings
A "one star" geometry problem that requires finding the visual pattern and applying and pattern extensions to solve the false ceiling problem.
Maths Challenge
Maths challenge.net: Pathed Pathways
A "one star" geometry problem that requires visualizing to find how many different patterns can be made.
Math Planet
Math Planet: Geometry: If Then Statement
If-then statements are explained throught the use of examples and a video lesson. [1:16]
Oswego City School District
Regents Exam Prep Center: Types of Sentences
What is "Logic"? What is a "Mathematical sentence"? This website provides definitions of both of these terms and defines examples of mathematical sentences ("open sentence" and "closed sentence") and provides examples of each. Use the...
Oswego City School District
Regents Exam Prep Center: Negation: Not
Use this website to help you hone your critical thinking and math-problem solving skills. Learn what "Negation," is and how it applies when you are working on mathematical problems and sentences.
University of Cambridge
University of Cambridge: Nrich: A Flying Holiday
Some may think this problem is for the birds but you will need to use your problem solving skills to come up with a reasonable answer. Then check this one page website for the solution.
University of Cambridge
University of Cambridge: Nrich: Dining Ducks
This problem will quack you up. On this one page website use those problem solving skills to check the reasonableness of your answer. The solution is available right at the website.
University of Cambridge
University of Cambridge: Nrich: Magic Squares
In a Magic Square all the rows, columns and diagonals add to the same number. This number is called the Magic Constant. Learn math fundamentals visually and have fun at the same time.
University of Cambridge
University of Cambridge: Nrich: Make 100
On this one page website sharpen your logic and problem solving skills while working on this challenge. The solution is available to double check your solution.
University of Cambridge
University of Cambridge: Nrich: A Magical Number Maze!
On this one page website sharpen your logic and problem solving skills while working on this challenge. The solution is available to double check your solution.
University of Cambridge
University of Cambridge: Nrich: 1, 2, 3, 4, 5
On this one page website sharpen your logic and problem solving skills while working on this challenge. The solution is available to double check your solution.
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