What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...

What's similar about congruent and similar polygons? Young mathematicians first measure the side lengths and angles of given figures. They use these measurements to determine relationships between side lengths and angles of congruent and...

Looking for a good lesson plan on measurement? This one could be for ytou! Learners select and use appropriate nonstandard units to measure and compare lengths and weights of real-life objects. They use problem-solving skills to design a...

Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...

If you're looking for some perimeter practice problems for beginners, you've found them! Learners reference an example that takes them through the steps of finding the perimeter of a square or rectangle. Then, they complete nine on their...

Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....

Are the length and width of birds' eggs related? Young ornathologists use a scatter plot to investigate the relationship between the length and width of eggs for Mallard ducks. They then determine the egg with the greatest...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...

How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...

When is a foot not a foot? When you use the length of your own foot to measure distances, of course. To underscore the importance of standardized units of measurement, middle schoolers engage in a series of activities that ask them to...

Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...

Let imaginations run wild as participants design animal pens. A performance task challenges young mathematicians to determine the perimeter or a missing side length of different animal pens. They then design pens that meet given...

Explore metric measurement, recording data, and creating an electronic spreadsheet displaying results with your math class. Scholars will measure the length of their smiles, record the measurements, and represent the results on an...

Here is a simple, yet clever lesson on how to teach the important concepts of greater than, less than, and equal to. Pupils write their names down on grid paper - one letter per box. They compare their names and find a name that is...

By splitting a rectangle into equal parts, scholars can see area as well as calculate it. First, they determine the area of a rectangle given its side lengths. Then, they use the space provided to segment it into four equal parts,...

A complete instructional activity on dividing whole numbers by other whole numbers and getting a fraction result. Groups of learners use fractions bars, and strips of paper that are cut to specific lengths. The hands-on activities in the...

Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...

Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...

Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...

Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...

What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...

A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...

Master metric measurements. Given the fact that the volume of one milliliter of water is one cubic centimeter, scholars figure out the volume of one liter of water. They must determine the correct unit of length for a unit cube that...