Curated OER
Number Puzzles: Finding ways to solve them
There are four different word problems (number puzzles) for learners to solve. Each one requires them to think critically about the operation they'll need to use and encourages class discussion. Use as a warm up or prior to a lesson on...
Curated OER
Math computation
The lesson says it is intended for 4th grade but it is suitable for grades 1-3 as well. The class discusses what it means to add, the commutative property of addition, and mathematical reasoning. This is an exercise in number sense,...
Curated OER
Bridge-Crossing Puzzle
In this bridge-crossing worksheet, students read a word problem. They use logic and deductive reasoning to determine the correct combination for two men to cross a bridge at the same time to get the anticipated results. This...
Shodor Education Foundation
Sets and the Venn Diagram (Beginner)
Venn diagrams are helpful in understanding the idea of a set and using attributes to sort items. This basic plan is an introduction with an added bonus of an applet that can be used to demonstrate the activity. If a classroom of...
Curated OER
Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
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...
Curated OER
Missionaries and Cannibals
In this missionaries and cannibals learning exercise, students read a word problem and use logic and deductive reasoning to solve the problem. This one-page learning exercise contains one problem. Answers are provided at the...
Curated OER
Improving Deductive Reasoning Skills
Students develop a strategy list for problem solving by working with different types of problems. They recognize problems that may be solved using deductive reasoning and solve deductive reasoning problems.
Curated OER
Fallacies of Relevance
Review more than nine verbal and written fallacies in arguments. Many definitions and examples are given to encourage your scholars to avoid fallacies such as ad hominem and red herring. By doing this, they will have stronger speeches...
Google
Surveys and Estimating Large Quantities
Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...
Curated OER
NIGHT AND DAY: DAILY CYCLES IN SOLAR RADIATION
High schoolers examine how Earth's rotation causes daily cycles in solar energy using a microset of satellite data to investigate the Earth's daily radiation budget and locating map locations using latitude and longitude coordinates.
Curated OER
Inductive and Deductive Reasoning
Students use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups,...
Intel
Forensics: Get a Clue
Although the methods are all scientific, forensic science was started by police officers rather than scientists, who relied on observation and common sense. Young detectives use many tools to solve crimes around the school in a...
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...
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
Operation Spaghetti
Find the math in recipes. Young chefs will follow a recipe and investigate the total cost for materials. They measure amounts of food necessary for the recipe and compute the per person cost.
Education Development Center
Language of Algebra
Don't rush into algebra, let learners visualize, guess, and predict their way to a successful math career. The introductory unit incorporates beginner algebraic concepts with shapes instead of variables. Young mathematicians use a...
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...
California Education Partners
Science Fair Project
Plant the data firmly on the graph. Given information about the growth rate of plants, pupils determine the heights at specific times and graph the data. Using the information, scholars determine whether a statement is true and support...
Noyce Foundation
The Shape of Things
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
American Statistical Association
Happy Birthday to . . . Two?
How many people do you need in a room before two likely share the same birthday? Scholars consider this puzzle by analyzing a set of data. They ponder how to divide the data and determine the proper size of a group for this event to...
Noyce Foundation
First Rate
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
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....