Curated OER
House and Holmes: A Guide to Deductive and Inductive Reasoning
Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...
Scouts
The Deadly Picnic: A Lab on Deductive Reasoning
Whodunnit? Find out who killed Mr. Brooks through a logical examination of evidence. Class members fill out a couple of data tables to help them pin down the suspect. After they've figured out just who the culprit is, pupils compose...
Education Development Center
Thinking Things Through Thoroughly
Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...
Curated OER
Thinking About Hate
This instructional activity starts out with a guided discussion about the statement "Birds fly in the sky; airplanes fly in the sky; therefore, airplanes are birds" and goes on to cover logical fallacies and reliable sources, relating...
Math Stars
Math Stars: A Problem-Solving Newsletter Grade 6
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Curated OER
Developing Thinking and Reasoning Skills in Primary Learners Using Detective Fiction
Students are introduced to the genre of detective fiction. Based on their reading level, they are given a different series of books to read. For each story, they are to make predictions and practice decoding messages. To end the...
Curated OER
Probability and Statistics
Young scholars reason mathematically as they solve problems dealing with probability of an even occurring. In this probability instructional activity, students differentiate between different rankings of candidates running for...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Illustrative Mathematics
Seven to the What?!?
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Curated OER
Two Column Logic Proofs
Students complete two column proofs. In this geometry instructional activity,students derive the reasons their answers are correct using logic. They write the proof step by step using two columns.
Curated OER
Logic and Proof Writing
Students define inductive and deductive reasoning and write two column proofs. In this geometry lesson plan, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing proofs.
Education Development Center
Algebraic Habits of Mind
Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions.
Curated OER
Two Squares are Equal
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Reading Through History
The Federalist Papers: Federalist Paper No. 10
James Madison, under the pen name “Publius,” justifies the need for an American Republic in Federalist Paper 10, which is perhaps one of the most influential contributions to the Federalist Papers. Readers examine his perspective with...
Shodor Education Foundation
Algorithm Discovery with Venn Diagrams
Here is a lesson that takes an interesting approach to analyzing data using box and whisker plots. By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that fits...
Curated OER
Are We Alone
Seventh graders collect/analyze data and draw conclusions; support reasoning by using a variety of evidence; construct logical arguments; access information at remote sites using telecommunications; apply the concept of percent;...
Noyce Foundation
Cubism
If cubism were a religion, would you follow it? Lower-level tasks focus primarily on counting the number cubes in a structure and relating the number to surface area. As learners progress to higher-level tasks, isometric drawings and...
Noyce Foundation
Lyle's Triangles
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Noyce Foundation
Double Down
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.
Curated OER
Sopay Water
Tenth graders design and conduct an experiment to explore the use of several substances in removing soap from water. During this activity they work with a lab partner. They keep their own individual lab notes, after they finish, they...