Math Lesson View

Lesson Purpose

The purpose of this lesson is to expand the knowledge of using the volume formulas.  Students will use volume formulas to calculate volume of prisms and pyramids as well as calculate missing dimensions.  To be able to use and explain formulas in order to solve problems is a major work of level E Geometry.

Students will use many previously learned skills in this lesson in order to calculate volume and calculate the missing dimensions when given volume.  Students will need to have an understanding of substitution and solving equations for a variable.  Students will also need to be familiar with converting units of measure.

During this lesson, students will work through problems involving filling a swimming pool and converting attic space into a finished room. These activities will allow students to see how this knowledge could be a benefit in their own lives outside of the classroom.

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Lesson Objectives

At the end of this lesson, students will be able to:

• use formulas to solve for problems involving volume of rectangular prisms.
• use formulas to solve for problems involving volume of right prisms.
• use formulas to solve for problems involving volume of pyramids.
• use formulas to solve for missing dimensions involving volume problems for rectangular prisms, right prisms, and pyramids.
• apply concepts of density in the context of area and volume.

Student Target

“I can use formulas to calculate the volume of a rectangular prism.”

“I can use formulas to calculate the volume of right prism.”

“I can use formulas to calculate the volume of a pyramid.”

“I can use formulas to calculate for the missing dimension when given the volume.”

“I can apply the concept of density when given the area or volume.”

CCR Focus Standards

Geometry - Level D

Geometry - Level E

• G.GMD.3

  Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*

Supporting Standards

• G.MG.2

  Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).* [Also see 7.RP.3]
  

• RI.6.7

  Integrate information presented in different media or formats (e.g., in charts, graphs, photographs, videos, or maps) as well as in words to develop a coherent understanding of a topic or issue.
  

Standards for Mathematical Practice

• MP.1

  Make sense of problems and persevere in solving them. (MP.1)

• MP.2

  Reason abstractly and quantitatively. (MP.2)

• MP.6

  Attend to precision. (MP.6)

KYAE Employability Standards

• E.1

  E.1 Effectively contribute to a team through cooperation, leadership, and giving and accepting critical feedback to work toward a common goal.

• E.6

  E.6 Identify and effectively use skills and materials needed for a particular task.

• E.7

  E.7 Accurately analyze information and respond appropriately.