5th Grade Math Unit 7

Geometric Formulas and Volume

5 Instructional Days - 4th 6 Weeks

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Big Idea:

Use the appropriate formula to find area, perimeter, and volume.

Student Expectations:

Priority TEKS

5.4(H) [Readiness] Represent and solve problems related to perimeter and/or area and related to volume.

Focus TEKS

5.4(G) [Readiness] Use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V=l x w x h, V=sxsxs and V=Bh)

5.6(A) [Supporting] Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes needed to fill it with no gaps or overlaps if possible.

5.6(B) [Supporting] Determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.

Ongoing TEKS

5.4(B) [Readiness] Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.

Student Learning Targets:

  • I will identify that a word problem is multi-step and determine what those steps are.
  • I will be able to find the correct formula on your reference sheet to help solve the problems.
  • I will apply knowledge of PEMDAS and solve for the unknown quantity.
  • I will use formulas for area, perimeter, and volume correctly to help solve for the unknown quantity.
  • I will analyze a rectangular prism by using our knowledge of unit cubes to help find the volume.
  • I will write a real world situation problem with a given equation.

Essential Questions:

  • What is a formula?
  • How can we use a formula correctly to find the area and perimeter of shapes?
  • How can we use a formula correctly to find the volume of a rectangular prism and cubes?
  • How can you use formulas to solve problems about area, perimeter, and volume?
  • What is a unit cube and how can you use it to build a solid figure?
  • How can our knowledge of a unit cube help us find the volume of a rectangular prism?

Extra Information:

Adopted Textbook: Houghton Mifflin Harcourt - GO Math!

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