This lesson challenges and guides students to adapt and customize the formulas for surface area to composite shapes.
This is one of 12 lessons in my "In and Out" unit that targets area and volume for 7th graders in the advanced track. The goal of
Rather than simply telling students the relationship between diameter and circumference, this lesson activity aims to have students experience it. It also places pi in the greater context of proportional thinking, and applies pi to a real world
Start off having students watch any decent video on the relationship between radius and area of a circle, and send students into these progressively challenging applications of area. The main question (part C) aims to side-step the usual
Instead of simply telling students the formulas for memorization, this lesson guides students to consider the meaning of the formulas. It also creatively targets the misconception that the height of a figure is an simply the outside edge. This
The front of this lesson develops the concept of a cross section using the analogy of cheese, while the back immediately applies it in the context of area and perimeter.
This is one of 12 lessons in my "In and Out" unit that targets area and
This lesson launches the discussion of area into surface area and volume, with the specific goal of contrasting their meanings. Essentially, after students build a prism that has a net on the outside and yet is filled with unit blocks, they are
This lesson develops the concept of volume as the area of the base multiplied by the height. Instead of simply transferring formulas from a formula sheet, students construct the formulas base on the area formulas they already know. Then, they are
This lesson guides student to experience the 1:2:3 ratio in the volumes of cones, spheres and cylinders of comparable dimensions, such that they will never forget it.
Please note, this lesson requires a set of "cylinders" (made from basic
This lesson blends their recent learning of volume formulas with their prior learning of equations. Students cement both skills by as they are guided to use the volume formulas as an equation - but instead of solving for the volume, they solve for
This lesson teaches them to build the formula for surface area themselves. After tracing the faces of a rectangular prism, students are prompted to construct the areas of each face into one comprehensive formula. They then repeat this process for
This lesson tackles the logic behind the challenging formulas for the surface area of cylinders, spheres and cones. As usual, students are prompted to develop the formulas for each on their own. The most challenging - the cone - is presented
This lesson blends the entire unit on area, surface area, and volume into one mega problem: Students must redesign the shape and dimension of a juice box while maintaining equivalent volume or surface area to the original. It gives particular