6.MATH.8.C

Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.

Grade 6 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
equationsproblemsarearectanglesparallelogramstrapezoidstrianglesvolumeright rectangular prismsdimensionspositive rational numbers
Skills
  • write (equations that represent problems related to area and volume) #dok2
  • identify (appropriate formulas for area and volume for given geometric shapes) #dok1
  • analyze (a given problem to select correct equation for area or volume) #dok2
  • apply (area and volume equations to geometric problems) #dok2
Learning Targets
  • I can identify the correct area formula for a rectangle, parallelogram, trapezoid, or triangle. #dok1
  • I can identify the correct volume formula for a right rectangular prism. #dok1
  • I can recognize when dimensions are positive rational numbers. #dok1
  • I can write an equation to represent the area of a rectangle, parallelogram, trapezoid, or triangle. #dok2
  • I can write an equation to represent the volume of a right rectangular prism. #dok2
  • I can analyze a word problem to determine which geometric formula and equation to use. #dok2
  • I can apply area and volume equations to solve routine geometric problems involving positive rational dimensions. #dok2
  • I can model and represent a geometric situation as an equation involving area or volume. #dok3
Big Ideas
  • Geometric figures can be represented and analyzed using equations that relate their area or volume to their dimensions.
  • Understanding how to translate real-world and mathematical problems into equations helps solve for unknown measurements such as area and volume.
Essential Questions
  • How can equations be used to represent problems involving the area of two-dimensional shapes?
  • What steps are necessary to write an equation for the volume of a right rectangular prism with given dimensions?
  • How does understanding the relationship between dimensions and area/volume help you solve real-world problems?
  • What equation would you write to find the area or volume in a scenario where only some dimensions are given?
  • How do you know which geometric formula to use for a given problem about area or volume?