Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
Radford University
Being Green – Minimizing the Surface Area of a Soda Can
Save the world by designing a new soda can! Learners first measure the dimensions of a typical soda can and calculate its surface area and volume. They then use spreadsheet software to minimize the surface area for the volume, thus...
02 x 02 Worksheets
Measuring Length
Your young forensic scientists add to and strengthen their measurement and conversion skills with these seven well-scaffold worksheets. Metric conversions, measuring length, area, and volume, reading thermometers, graduated cylinders,...
Radford University
Surface Area and Volume of 3-D Objects
Don't let the class tank the project. After reviewing formulas for surface area and volume, pupils design fish tanks that maximize volume. They research cost of materials online and must meet a budgetary constraint when creating their...
Curated OER
Turn Up the Volume
Measuring volume can be a mystery for 5th graders, but this hands-on activity gives the gift of discovery. The volume of simple rectangular solids and irregular shapes are calculated through various methods including displacing liquid in...
University of Houston
Volume for Rectangular Prisms
Upper graders define perimeter and area of a rectangle, estimate numbers of cubes and determine the maximum amount that will fit in a given space. In this math lesson, pupils complete related worksheet, build prisms and find volume and...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
EngageNY
The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
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...
Teach Engineering
Determining Densities
Don't be dense—use a robust resource. The second installment of a five-part Floaters and Sinkers unit has learners determine the densities of several objects. As part of the activity, they learn the displacement method for finding...
Teach Engineering
Build the Biggest Box
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
Techbridge Curriculum
Calculating Rainwater Runoff
Thirsty plants soak up every bit of a rainfall, but what happens to the rain that hits the roof? Calculate the amount of rainwater from your school's roof with an Earth science activity, which brings measurement skills, observation...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Teach Engineering
Floaters and Sinkers
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
Radford University
Green Acres is the Place to Be!
Nurture a love of math and farming at the same time. Pupils apply geometry concepts, such as surface area and volume of three-dimensional shapes and similarity ratios, to farming contexts. They consider the dimensions of bales of hay,...
NOAA
Biological Oceanographic Investigations – Signals from the Deep
The Deepwater Horizon oil spill directly impacted an area of the Gulf of Mexico the size of Oklahoma. A marine biology lesson looks at the impact of an oil spill on the deeper parts of the ocean. Scholars download actual data collected...
Curated OER
A4 Containers
Fifth graders determine which container made from a single sheet of paper has the greatest volume. They look the solutions made by three different students before working on their own examples.
Curated OER
Making Benchmarks - Mass
Elementary schoolers predict the mass for different objects. Then, using objects of 1kg mass, they make a more precise prediction. Afterwards, they discuss the need for having and using standard measures of mass.
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Curated OER
A Fashion Extravaganza
Students decide what body measurements they need to make garments such as a pair of pants. They make a list, and work with a partner to take and record those measurements in centimeters. They discuss the use of centimeters.
Yummy Math
Raspberry Chocolate Heart Cake
Have you ever finished a piece of cake and wished you had more? Solve this common dilemma with math! A straightforward worksheet prompts middle schoolers to use the given dimensions of a heart-shaped cake when planning to bake two larger...
Curated OER
Matter
Students complete a unit of activities to learn about states of matter and how to measure matter. In this matter lesson plan, students complete 8 lessons to learn about matter, its states, and how to measure matter.