In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...

Students differentiate between inductive and deductive reasoning. In this geometry lesson, students identify congruent figures and examine logos for congruency.

Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...

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...

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...

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. 

Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships lesson plan, students follow detailed directions to set up an experiment. They add...

Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...

Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.

Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game. 

Young scholars use principles of geometry to measure the circumference of the Earth. In this applied geometry lesson, students use mathematics to determine scientific information. They make measurements, calculate the central angle,...

Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...

High schoolers explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.

Your young taxi drivers evaluate and articulate the reasoning behind statements in a conceptual task involving linear data. The given data table of distances traveled and the resulting fare in dollars is used by learners to explore...

When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...

How many cars would be involved in a traffic jam 12 miles long? A slightly ambiguous writing prompt gives learners the opportunity to practice making reasonable assumptions to tackle a real-life problem. Few details are given, so they...

Even computers find this to be a hard problem. In the eighth installment of a 12-part unit, young computer scientists learn about the traveling salesperson problem. They formulate algorithms to solve the problem and find out why it is...

Don't let your eyes play tricks on you ... use scale to keep your eyes in check! Young scholars observe images without scale and try to identify the structure. Then, they look at the same image with a scale bar and assess whether their...

Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...

Fourth graders complete mathematical word problems. They study the relationships among distance, speed, and time; and measure travel distances. They measure distances using a piece of string and a ruler and practice converting several...

Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.

Students explore the degree, diameter, planarity, and size of graphs.  For this degree, diameter, planarity, and size of graphs lesson, students try to construct a graph with more than 12 vertices that satisfy all other...

Students use water filled pipes to play a tune and consider the mathematics behind the sound waves. For this sound wave lesson, students play a tune with water filled pipes. They create a mathematical model to evaluate the wavelengths...