Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...

One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.

Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...

Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...

Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...

Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...

Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.

Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson series supports children with learning how to measure the area of squares, rectangles, and other...

In this geometry worksheet, 10th graders determine the area of regular polygons.  The two page worksheet contains eight problems.  Answers provided. 

In this area worksheet, students solve 6 short answer problems. Students find the area of a figure composed of regular polygons such as triangles, rectangles, squares, etc given a sketch of the figure.

Why are only four colors needed to color webs from regular pentagons, not five? An assessment task requires young mathematicians to first construct regular pentagons using a compass and straightedge, then has them consider a shape...

Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...

Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging learners to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...

In this find the area worksheet, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...

In this area and perimeter learning exercise, 10th graders solve and complete 18 various types of geometry problems. First, they find the area of a figure shown with consecutive sides perpendicular. Then, students find the area and...

Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...

Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...

In this geometric figures worksheet, 10th graders solve and complete 11 different word problems. First, they find the area of a regular octagon with a given side. Then, students find the area of each shaded region. They also find the...

For this Archmides' method instructional activity, students determine the area of a regular n-gon inscribed in a circle.  They use sine and cosine functions to solve problems.  This three-page instructional activity contains 4...

In this geometric figures activity, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...

In this area worksheet learners read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...

For this geometry worksheet, 10th graders determine the area of irregular polygons.  The one page worksheet contains three problems.  Solutions are provided.

In this math worksheet, students find the area and perimeter of the regular and irregular polygons. They pay attention to use the proper measurements for calculation.

Where in the world (or at least in the coordinate plane) is the third vertex? Given two coordinate points for the vertices of a triangle, individuals find the location of the third vertex. They read an account of fictional...