CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
EngageNY
What Is Area?
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 upper...
EngageNY
Proving the Area of a Disk
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 formula.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
Multiplication Facts up to 10 X 10
Here is a presentation that's chock full of great tips on how to memorize multiplication facts, and how to calculate the area of shapes that aren't perfect squares or rectangles. Many good problems are in each of the slides. A great...
Curated OER
Exploring the Area Under a Curve
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...
Curated OER
Guided Notes on Area
In this area worksheet, students find the area of rectangles, triangles and circles. This eight-page worksheet contains approximately 36 problems. Examples and explanations are provided. Answers are included at the end of the worksheet.
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume. They apply formulas to a model of the classroom so they can determine the volume and surface area of the classroom.
Curated OER
The Gum Drop
Students find the area of three figure by the traditional formulaic methods. Then they count the number of grid squares to double check. They show an intuitive sense of Pick's Algorithm by counting every two boundary squares as one unit....
Illustrative Mathematics
Painting a Barn
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
Curated OER
Bubble Mania
Elementary schoolers practice measuring a soap bubble print. They follow a recipe to make a soap bubble solution. Pupils use the soapy solution to blow large bubbles with a plastic drinking straw until they pop leaving behind a circular...
Curated OER
Leaves, the Sun, and the Water Cycle
As a way to combine life and physical science, or simply as an investigation of plant transpiration, this lesson is sure to inspire! Middle schoolers capture the moisture given off by plants that are placed in different conditions. They...
Curated OER
Surface Area of Cube Worksheet
In this surface area worksheet, students compute the total surface area of a cube when given the length of one side. This two-page worksheet contains 8 problems. Answers are provided.
Illustrative Mathematics
How Thick Is a Soda Can I?
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Curated OER
Perimeter and Area of Similar Figures
Young scholars determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.
Curated OER
The Surface Area of a Cylinder
Students measure the circumference of a cylinder. In this cylinder lesson plan, students use round container lids and flexible rectangles to measure the circumference of the cylinder. They put the shapes together to make their own...
Curated OER
Areas and Perimeters
For this area and perimeters worksheet, students compute the area and perimeter of rectangles and squares. This two-page worksheet contains approximately 30 mental problems. Answers are provided beside each question.
Curated OER
Surface Area and Volume of Similar Solids
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Curated OER
Area And Perimeter Powerpoint
Students engage in a study using technology in order to attempt the comprehension of using perimeter and area. They use powerpoint to solve different problems. This helps to keep learners engaged in the process of practice and...
Curated OER
Chapter 6: Geometry Perimeter and Area
In this perimeter and area activity, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric ratios. This twelve-page...
Curated OER
Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
Cover and Boarders
Students find the area and perimeter of rectangular figures. They use this information to find patterns and discover relationships between area and perimeter. Students apply and explain formulas relating to perimeter, area, and volume.