Curated OER
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
Curated OER
Squares and Cubes
Students recognize, analyze, and use square color tiles and interlocking cubes to discover patterns in perimeter, area, and volume. They will then chart and graph their results.
Curated OER
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find the...
Curated OER
Volume of a Stair-Step
Sixth graders calculate the volume of a stair-step. In this volume lesson, 6th graders apply their knowledge of the formula for finding volume. They practice their use of math language since this lesson is presented in a Japanese...
Curated OER
Volume & Candy Creations Model
Sixth graders investigate surface area. In this surface area lesson, 6th graders design a box of candy that has a volume of 30 cubic inches. Students are trying to minimize surface area while keeping volume constant. Students...
Curated OER
Surface Area and Volume of a Cube
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...
Curated OER
Investigating: Finding the Volume
Sixth graders explore geometry by utilizing colored cubes in class. In this volume lesson plan, 6th graders identify the different shapes they can create using their colored cubes and identify the formula for finding volume. Students...
Curated OER
Investigating Volume
Students investigate the components of volume and use appropriate units and procedures to calculate the volume of several household boxes.
Curated OER
Surface Area and Volume of Similar Solids
Learners 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
Measurement: Volume
Sixth graders determine how to find the volume of a box. In this volume lesson, 6th graders participate in a lesson in which the teacher uses the associated study guide to explain how to find the volume of a cubic figure. They use boxes...
Curated OER
Properties of Matter/Comparing Mass, Volume and Density
Students participate in a discussion of volume and density and then engage in a hands on lab. They weigh equal volume cubes at lab stations of an assortment of common substances in a lab setting and record data on their findings on...
Curated OER
Introduction to Density
Seventh graders discover the definition of density through a demonstration using ethanol and ice cubes and a class discussion using a SMART Board to illustrate formulas and calculations. Students finish the lesson by practicing...
Curated OER
Measurement
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
Curated OER
One Hundred Things
Learners practice estimating by handling items in groups of ten. They visualize how much space 100 items, such as pennies, peas, or beans, will take up after holding 10 of them. Students measure the difference in volume between 10 and...
Curated OER
Jessica's Aquarium
Sixth graders use problem solving strategies to determine the amount of gravel needed to fill the bottom of an aquarium that is 50 cm long, 20 cm wide, and 30 cm high. Students use centimeter cubes and brainstorm strategies they might...
Curated OER
What is Happening?
Review area, perimeter and volume using this lesson plan. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes.
Curated OER
Measurement (Grades 3-5)
Third, fourth, and fifth graders participate in measurement centers. They visit six different centers: standard and linear measurement, clocks, weight, volume, temperature, and converting measurements. They complete a data collection...
Curated OER
Volume of a Rectangular Prism
Children use the length, width, and height of an object to calculate the volume of a rectangular prism. They observe how to multiply three numbers at a time, and define volume. Pupils observe as the teacher demonstrates how to determine...
PBS
Surface Area and Volume
You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Curated OER
Painted Cube Lesson
Students differentiate between cubes and unit cubes. In this geometry activity, students create linking cubes and use it as a manipulative to answer questions. They define the faces, edges and sides of the cubes as it relates to unit cubes.
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