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Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
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...
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...
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...
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...
TryEngineering
Boolean Algebra is Elementary
See how Boolean algebra relates to video games with a lesson plan that teaches young scholars how to use Boolean algebra to create rules for a virtual world. They test the rule base for consistency in groups.
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.
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
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...
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...
TryEngineering
Solving a Simple Maze
Solve a maze ... from a robot's point of view. In the lesson, your scholars build a small, simple maze from cardboard and then find a route from the start point to the finish point. They write an algorithmic process that a robot could...
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...
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...
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.
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
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Noyce Foundation
Part and Whole
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
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