Curated OER
Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several activities to learn the volume and surface area of cylinders.
Curated OER
Volume, Surface Area for Cylinders
Seventh graders explore the concept of volume and surface area of cylinders. In this volume and surface area of cylinders lesson, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students discover that...
Curated OER
Perimeter and Area of Similar Figures
Students explore the relationships between similar figures. In this relationships between similar figures lesson, students discuss relationships between perimeter, circumference, area, surface area, and volume of similar figures through...
Curated OER
Perimeter and Area of 2D Shapes
Learners find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area instructional activity, the teacher gives students formulas for each shape and measurement and works through examples on the board....
Noyce Foundation
Which is Bigger?
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.
Radford University
Down on Sue's Farm
When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...
Radford University
Building Sandcastles
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Teach Engineering
Penny Perfect Properties (Solid-Liquid Interations)
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
Space Awareness
Oceans on the Rise
Temperature rises and land disappears! Through a lab exploration, learners understand the effect of temperature increase on water similar to the effect of global warming on our oceans. As they heat the water in a flask, they measure the...
College Board
2006 AP® Calculus AB Free-Response Questions Form B
An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Radford University
Koi Pond
There's nothing fishy about the activity. Future mathematicians design a koi pond from various three-dimensional shapes. They calculate the perimeter, area, and volume of the pond, and then create PowerPoint presentations. They also...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Radford University
Choosing the Best Cylinders
Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...
College Board
2004 AP® Calculus BC Free-Response Questions Form B
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
Curated OER
Looking at Circumference
Students understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
Colorado State University
What Causes Pressure?
Are you feeling the pressure? Let loose a little with a kinesthetic activity that models molecular motion in a closed space! The activity varies conditions such as volume and temperature and examines the effects on molecules.
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 6
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
College Board
2011 AP® Calculus BC Free-Response Questions
Does the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...
College Board
2010 AP® Calculus AB Free-Response Questions Form B
Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...
NOAA
Through Robot Eyes
How do robots assist ocean explorers in collecting data and images? The final installment in a five-part series has science scholars examine underwater images collected by robots and identify the organisms shown. Groups then calculate...