Find formulas using direct measurements and reconstruction. Groups use diagrams of circles and measure their circumferences. With several examples, classmates determine the constant of variation, pi. Pupils continue exploring circle...

Top off geometric calculations by building caps. Groups determine the sizes needed and build each member a mortar board graduation cap. Using the average size, the team calculates the total amount of material required to build a typical...

Find tips and tricks to better understand the standards in a resource that contains several lessons to teach major concepts in the seventh grade standards. Lessons contain games involving the addition of integers; using algebraic...

Put pi to work. The video provides the formulas for the circumference and area of circles. Using the formulas, the presenter shows how to distinguish the two using units. The discussion leads to the second formula for finding the...

Understanding the basic of circles is as easy as pi. The resource introduces the definition of a circle along with its dimensions, circumference, diameter, and radius. Using graphics, the video shows the approximation of pi and how to...

How can you determine the distance between two objects when one is incredibly far away? Discover how early astronomers and mathematicians calculated quantities such as the distance between Earth and the Sun in an insightful video. The...

Relate the constant of proportionality to radians. Pupils use the fact that all circles are similar to show that the arc length subtended by an angle is proportional to the radius. The scholars use the shown relationship to verify the...

Use the previous assumptions to derive the commonly known formulas. The resource provides the prior assumptions, and pupils use these assumed facts to derive the familiar formulas for the area and circumference of a circle. The scholars...

Use scale factors to find areas of circles. Pupils delve deeper into the informal argument for the formula of the area of a circle. The scholars show the relationships of areas of similar polygons also holds true for circles.

Have the class describe the relationship of the area and perimeter of inscribed polygons and the area and circumference of the circle. Pupils investigate the relationships of areas and perimeters of inscribed regular polygons and circles...

Determine a fractional distance around the circumference. The resource presents two questions involving arc length. The measures of the central angles are given in degrees. Pupils determine the arc length in terms of pi for one problem...

Estimate the value of one of the most famous irrational numbers. The hands-on lesson instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.

Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...

Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles. 

Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...

Pupils work seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners use their knowledge of angle...

What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...

Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...

Don't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...

To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to create...

Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.  

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...