EngageNY
Real-World Area Problems
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.
EngageNY
Unknown Length and Area Problems
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
EngageNY
Decimal Expansion of Pi
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges.
Curated OER
Cap-It to the Max
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
Curated OER
Fill and Wrap It Up
Learners find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Growing Circles
Students identify the equation to represent a circle. For this algebra lesson, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
EngageNY
Ptolemy's Theorem
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.
Curated OER
Bubbles Everywhere!
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This lesson is a fun way to practice measurement and circle and...
Curated OER
Discovering Pi
Sixth graders discover Pi. In this discovering Pi lesson plan, 6th graders measure the diameter and circumference of various circular objects. Students record their measurements in a table. Students discuss how Pi relates to the...
EngageNY
Cyclic Quadrilaterals
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.
Curated OER
Related Rates
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
Curated OER
Discovering Pi
Sixth graders measure circumference and diameter to the nearest eighth of an inch, record measurements on a spreadsheet, and use the internet to complete a "scavenger hunt" of facts concerning pi.
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...