LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 2

Measurement - The learner will understand and use measurement involving two- and three-dimensional figures.

Objective 2.02

Solve problems involving volume and surface area of cylinders, prisms, and composite shapes.

Resources aligned to this objective

Area of Solids.
Finding area of rectangular solids and cylinders by cutting them into flat pieces and adding the areas.
Format: lesson plan (grade 7–12 Mathematics)
By Dorothy Carawan.
Blast off the wet way
This lesson takes 6–10 days and includes math classes in which students will serve as observers and will calculate the height that the rocket reached and time elapsed. In the science class the students will design, build, launch, and do a detailed analysis of the acceleration, speed, and force produced by water-filled two-liter rockets.
Format: lesson plan (grade 7 Mathematics and Science)
By Jack Curtis.
Investigating Surface Area
This is a hands on lesson best used to introduce geometry students to 3-dimensional figures. Students will have the opportunity to draw 3-dimensionally and create collapsible figures which can be used to develop the standard surface area formulas.
Format: lesson plan (grade 6–7 Mathematics)
By Jennifer Bronzini.
Juicy Juice Box
Students will be able to use their knowledge of volume and surface area through this fun, hands-on activity.
Format: lesson plan (grade 6–7 Mathematics)
By Sheila Martin.
Post-EOG Activities: Student Products
In this project, students will become entrepenuers. They will have a business that makes items with 3-Dimensional shapes. They will receive various tasks that will require that they make decisions as any other business owner would have to do.
Format: lesson plan (grade 7 Mathematics)
By Geneva Williams.

Lesson plans on the web

Cubes everywhere
In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Discovering the area formula for circles
In this lesson, one of a multi-part unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Discovering the area formula for triangles
In this lesson, one of a multi-part unit from Illuminations, students learn the area formula for a triangle. Students find the areas of rectangles and squares and compare them to the areas of triangles derived from the original shape. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Fill'r up
In this lesson, one of a multi-part unit from Illuminations, students can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships between edge lengths and volumes. (Learn more)
Format: lesson plan (grade 7–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Finding the balance
In this lesson for middle grades students, one of a multi-part unit from Illuminations, students participate in activities in which they focus on patterns and relations that can be developed from the exploration of balance, mass, length of the mass arm, and the position of the fulcrum. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
How steep can you be?
In this lesson, one of a multi-part unit from Illuminations, students consider the construction of a tool that will measure percent slope. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Learning about length, perimeter, area, and volume of similar objects using interactive figures: Side length and area of similar figures
This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. (Learn more)
Format: lesson plan (grade 4–8 Mathematics)
Provider: National Council of Teachers of Mathematics
The ratio of circumference to diameter
In this lesson, one of a multi-part unit from Illuminations, students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Scaling away
In this Illuminations lesson, students measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Square circles
This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics