Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Pigeonhole Principle

For Students 3rd - 8th
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...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Keeping Cool

For Students 3rd - 8th Standards
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...
Activity
University of Toronto (Canada)

Question Corner: Deductive and Inductive Reasoning

For Students 9th - 10th Standards
A simple discussion of the differences between inductive and deductive reasoning. Helpful to anyone who is having difficulty differentiating between the two.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Vcr

For Students 3rd - 8th
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...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Thirteen? Oh No! (Pdf)

For Students 3rd - 8th Standards
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...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Don't Fall In

For Students 3rd - 8th
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...
Lesson Plan
PBS

Pbs Mathline Lesson: Mix It Up [Pdf]

For Teachers 3rd - 5th
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...
Whiteboard
ClassFlow

Class Flow: Mental Math

For Teachers 5th - 7th
[Free Registration/Login Required] This flipchart is a group of one page starter exercises that require students to use logic to find the solution.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: The Value of Two Column Proofs

For Students 9th - 10th Standards
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Instant Insanity

For Students 3rd - 8th Standards
Excellent interactive challenge working with cube nets to stack them in a specific order. Manipulate the cubes online to solve the problem.
Activity
Discovery Education

Discovery Education: Brain Boosters

For Teachers Pre-K - 1st
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...
Website
PBS

Pbs Learning Media: Sesame Street

For Students Pre-K - K
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,...
Activity
Maths Challenge

Maths challenge.net: Beam of Light

For Students 4th - 6th Standards
A "one star" geometry problem that requires finding the visual pattern and applying and pattern extensions to solve the beam of light problem.
Activity
Maths Challenge

Maths challenge.net: False Ceilings

For Students 3rd - 8th Standards
A "one star" geometry problem that requires finding the visual pattern and applying and pattern extensions to solve the false ceiling problem.
Activity
Maths Challenge

Maths challenge.net: Pathed Pathways

For Students 3rd - 8th Standards
A "one star" geometry problem that requires visualizing to find how many different patterns can be made.
eBook
Math Planet

Math Planet: Geometry: If Then Statement

For Students 9th - 10th Standards
If-then statements are explained throught the use of examples and a video lesson. [1:16]
Activity
Oswego City School District

Regents Exam Prep Center: Types of Sentences

For Students 3rd - 8th
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...
Activity
Oswego City School District

Regents Exam Prep Center: Negation: Not

For Students 3rd - 8th
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.
Activity
University of Cambridge

University of Cambridge: Nrich: A Flying Holiday

For Students 3rd - 8th
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Dining Ducks

For Students 3rd - 8th
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Magic Squares

For Students 3rd - 8th Standards
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.
Activity
University of Cambridge

University of Cambridge: Nrich: Make 100

For Students 3rd - 5th Standards
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.
Activity
University of Cambridge

University of Cambridge: Nrich: A Magical Number Maze!

For Students 3rd - 5th
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.
Activity
University of Cambridge

University of Cambridge: Nrich: 1, 2, 3, 4, 5

For Students 3rd - 5th Standards
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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