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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...
Rochester Institute of Technology
Artificial Eye
Scientists in California developed a bionic eye that allows blind people to see edges of objects in black and white and costs $145,000. In the activity, groups of scholars discuss bioengineering, focusing on the human eye. They then...
College Board
2004 AP® Statistics Free-Response Questions
Provide some practice showing the work. Pupils work through six free-response questions that require them to show their work. They use their knowledge of statistics to develop solutions to problems within context. Scenarios range from...
Curated OER
Design a Better Classroom Workplace
Students design a new classroom workplace. In this architecture lesson, students use area formulas to identify the problem with the existing desks in their classroom. Students design their own solution volume formulas to solve the...
Curated OER
Advise and Consent
Learners survey people of the community to collect opinions regarding a problem. In this philanthropic lesson, students understand the philosophy of Andrew Carnegie about giving back. Learners study a problem and propose a solution.
Curated OER
Boat Hull Design
Working in small groups students develop three alternative boat designs. They discuss the rationale for the type of hull, propeller, location of ballast, and type of building material used in their design. They build their boat.
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.
Noyce Foundation
Circular Reasoning
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Noyce Foundation
Poly-Gone
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
Curated OER
Noncombatancy and the Seventh day Adventist Church
Upper graders investigate how the Seventh Day Adventists are objectors to the practice of war. The lesson plan covers the Civil War and examines the church's position about the practice of war. The research extends to modern wars and...
Kentucky Department of Education
Multi-Digit Multiplication Strategies
There is more than one way to solve a multiplication problem, and many learners find that the lattice multiplication method can be a helpful one. Fourth graders take an initial formative assessment before working in groups of two or...
Noyce Foundation
On Balance
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Noyce Foundation
What's Your Angle?
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
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
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....
Teach Engineering
Energy Perspectives
The data says ... the resource is great to use. Using Microsoft Excel, pupils analyze data from the US Department of Energy in the fifth lesson of a 25-part Energy Systems and Solutions unit. Each group looks at a different data set and...
Curated OER
The Sum of Our Integer Intelligences
Young mathematicians explore integers. They review adding integers through engaging in mathematical labs. Each lab station is designed to reflect one of the multiple intelligences. Resources for all activities are provided.
Noyce Foundation
Measuring Up
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
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...
Curated OER
Chemistry Midterm Practice Exam
A comprehensive practice exam, this resource covers many areas of chemistry. The test includes 71 multiple choice questions on topics such as problem solving, chemical equations, chemical formulas, thermodynamics, acids and bases, and...
Curated OER
2004 U.S. National Chemistry Olympiad Part I
In this chemistry activity, test takers answer 60 multiple choice questions on topics related to chemistry from balancing equations to calculating moles and molecules of compounds. They name formulas, they convert, they solve problems on...
Mathematics Assessment Project
Classifying Proportion and Non-Proportion Situations
Proportions, proportions, everywhere. Class members complete an assessment task solving problems involving proportionality. They then complete an activity classifying given situations as proportional or non-proportional.
Curated OER
Problem Solved!: Design Solutions
Students learn about charrettes. In this arts lesson, students use creative problem solving processes used by design professionals and then investigate the role of problem solving in the world of design.