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...

What do you get when you slice a prism? Pupils discover that the answer depends on how the prism is sliced. The second half of the 29-part module focuses on three-dimensional objects. Learners use their two-dimensional vocabulary and...

If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...

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.

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...

Build upon the knowledge of nets to find the surface area of right prisms. Pupils begin to find the area of right rectangular prisms using the net for the prism. They build upon that knowledge to find a general formula that works for all...

Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...

Discover the difference between the capacity of a container and its volume. The 25th part of a 28-part series presents problems that require pupils to determine the amount of liquid a prism can hold. Learners must take into account the...

Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...

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...

No matter how you slice it, it's still a polygon! An engaging lesson plan examines the different ways you can slice a prism. The lesson plan begins with simple parallel and perpendicular slices. It then challenges scholars to slice the...

The class makes the connection between finding the area of a right prism and a right pyramid in the 23rd installment in a series of 28. The pupils find the surface area of figures created by stacked cubes and prisms with cutouts.

How long does it take to fill a typical swimming pool? Prepare your pupils to answer similar questions using the 28th lesson in the 29-part module. The engaging lesson asks individuals to solve problems connected to the flow rate. All...

Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...

Feed the need for knowledge. Future mathematicians first consider how the lateral area of a rectangular prism relates to its volume. They then design a container for alpaca food that has the maximum volume possible from a given sheet of...

Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...

Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...

Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...

The 26th part of a 28-part series requires pupils to determine whether the answer to a problem requires surface area or volume. The class works problems about fish tanks that prompt individuals to decide, based on the question, which...

The objectives in the resource allow students to explore the characteristics of simple solid shapes. Youngsters learn to recognize the face shapes, corners, and edges that make up 3-D figures by filling in a chart. Lastly,...

Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...

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....

Who knew there were pyramids in China? Learners apply surface area and volume formulas to several different real-world situations. They calculate the volume and surface area of an aquarium, an ice cream cone, and Egyptian and Chinese...