University of Cambridge
University of Cambridge: Nrich: Team Scream
This logic problem will require you to figure out a variety of combinations. The solution is available on this one page NRich website.
University of Cambridge
University of Cambridge: Nrich: Calendar Cubes
Solve this problem using your reasoning problem solving skills. The solution is available on this one page website.
University of Cambridge
University of Cambridge: Nrich: Tessellating Triangles
The challenge at this one page website, involves tessellation and triangle. Should you accept this challenge, you will find helpful teacher notes and the solution available right at the website.
University of Cambridge
University of Cambridge: Nrich: Egyptian Rope
See how many different regular polygons you can make using the 12 knot Egyptian rope at this one page website. Check your solution right at the website.
University of Cambridge
University of Cambridge: Nrich: Green Cube, Yellow Cube
Think about the surface area of a cube. At this one page website, you use that information to complete the challenge. Solutions are offered right at the website.
University of Cambridge
University of Cambridge: Nrich: Dicey
If you can visualize a cube and turn it around in your mind, then this is the challenge for you. This one page website has the solution available to check your thinking.
University of Cambridge
University of Cambridge: Nrich: Trick or Treat
On this one page website sharpen your logic, graphing and pattern recognition skills while working on this challenge. The solution is available to double check your solution.
University of Cambridge
University of Cambridge: Nrich: Penta Place
Sharpen your logic and pattern recognition skills while working on this challenge. Solution included.
University of Cambridge
University of Cambridge: Nrich: Tricky Track Game
The directions on this site are for an interesting, two-player dice game named Tricky Track. Grab a partner and play. Do your results surprise you?
Other
Communication in Math Activities for Grades K 2
Early learners can build their math communication skills with these "Real-world," writing and problem solving activities. Students focus on developing strategies for using math vocabulary and writing about math.
National Council of Teachers of Mathematics
Nctm: Figure This: Cut the Cake
A math challenge where geometry, measurement, and problem solving meet. Explore the properties of three dimensional shapes when you discover how six friends can equally divide a nine inch square chocolate cake. A one page activity from...
University of Cambridge
University of Cambridge: Nrich: Seven Sticks
On this one page website sharpen your logic, triangle properties, and pattern recognition skills while working on this challenge. The solution is available to double check your solution.
Joe Landsberger
Study Guides and Strategies: Solving Math Word Problems
This site offers a guide for strategies used to solve word problems. Common phrases and their mathematical translations are included. This can be used by students while working on assignments.
University of Cambridge
University of Cambridge: Nrich: Count the Trapeziums (Trapezoids)
The challenge at this one page website, is to see how many trapezoids (British-trapeziums) you can find in the figure. When you have your results, you can easily check it right at the website.
Help Algebra
Help algebra.com: Problem Solving Strategies
The steps for solving word problems are presented here along with suggestions of how to carry out each step. Learn how to understand, plan, write equations, solve and check each time you work a word problem.
National Council of Teachers of Mathematics
The Math Forum: The Cereal Box Problem
A cereal company is offering six different prizes in their boxes. How many boxes would you expect to have to purchase in order to collect all six prizes? Known as the Cereal Box Problem, this question is explored here. A solution is...
National Council of Teachers of Mathematics
Nctm: Figure This: Monday's Child
Do you know what day of the week were you born? You can find the exact day when you try this math challenge that explores problem solving with algorithms. Find out how scientist and statisticians use algorithms in their jobs. A one page...
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...
Organization for Community Networks
Lesson Plan: I've Got Your Number (Number Sense)
An engaging lesson used to review math concepts and facts. Students are certain to "Stay alert," in this card game where each solution is related to the next solution. Sample questions provided. Great problem solving and skill building...
University of Cambridge
University of Cambridge: Nrich: Appearing Square
The challenge presented at this one-page website offers an opportunity to work with the area of a rectangle. The solution is available right on the website.
Other
Math Stories: Working Backwards
At this one page site you can work through step by step a sample problem that illustrates the problem solving strategy for "Working backwards." The answer is right there to help you check your thinking.
Other
Math Stories: Write a Number Sentence
At this one page site you can work through step by step a sample problem that illustrates the problem solving strategy for "Write a number sentence." The answer is right there to help you check your thinking.
Curated OER
Diagram Showing the 7 Seven Step Problem Solving Cycle
Although written for the university level student, this article provides good ideas for all learners about problem solving skills. It provides a definition as well as a seven step process for how to problem solve.