Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the...

If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...

Using a pre-test, this lesson plan starts by establishing differentiated learning groups. Each group practices determining area and perimeter using interactive web sites small groups are then pulled aside and given additional support as...

Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...

Liability, deductible, premium ... what do these words mean, and how do they relate to insurance? Scholars complete a pre-test, matching vocabulary activity, and insurance timeline worksheet and become familiar with these terms. Next,...

Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles...

Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.

Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...

Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...

Using the resource is probably the most efficient way to learn about efficiency. The 18th installment of a 25-part Energy Systems and Solutions unit has pupils investigate energy efficiency through discussions and associated activities....

Fourth graders use triangle paper to design patterns using geometric figures and find the areas of those figures by counting units. Students are assessed by determining which figure has the greatest area and explaining their reasoning.

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.

Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...

When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...

Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...

Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...

The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions. 

Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...

After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.

Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...

Young scholars compute area.  In this perimeter, area and volume lesson, students examine given objects and determine the perimeter, area, and volume of each. 

In this perimeter and area lesson, learners learn the formulas for perimeter and area and view model problems using tiles. Students work in groups to solve practice problems. Learners define perimeter and area and explain why...