Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Noyce Foundation
Cut It Out
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
Noyce Foundation
Once Upon a Time
Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Computer Science Unplugged
Battleships—Searching Algorithms
How does a computer perform a search in order to find data? The lesson begins with a demonstration on finding one number out of 15. Pairs then play three games of Battleship by using different search techniques. The lesson...
Maths Challenge
Maths challenge.net: Right Angle Reasoning
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Logic and Proof Exercises
Twenty-five problems cover the topic of logic and proof in different geometry settings. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
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.
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...
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
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.
Oswego City School District
Regents Exam Prep Center: Conjunction: And
Learn what a conjunction is and why it is important to know what a conjunction is when using logic to solve mathematical problems. This website includes examples of the conjunction "and" used in mathematical sentences and a "truth table."
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: Adding Triangles
Sharpen your logic and geometry skills by finding the area of a triangle. Solution available.
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: Counting Triangles
A "one star" geometry problem that requires finding the visual pattern and applying logic with pattern recognition to solve this number of triangles problem.
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.
Maths Challenge
Maths challenge.net: Shading Pattern
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to solve.
Maths Challenge
Maths challenge.net: Perimeter Sequence
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to find the perimeter from the sequence.
Maths Challenge
Maths challenge.net: Counting Triangles Again
A "one star" geometry problem that requires finding the visual pattern and applying logic with basic math skills to find triangles in a pattern.
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 Cambridge
University of Cambridge: Nrich: Transformations on a Pegboard
This one page website can expand your logic, Motion Geometry and pattern recognition knowledge. The solution is available to double check your answers.