6adv.MATH.11.B

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 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
equationsproblemsarearectanglesparallelogramstrapezoidstrianglesvolumeright rectangular prismsdimensionspositive rational numbers
Skills
  • write (equations that represent area problems for rectangles, parallelograms, trapezoids, and triangles) #dok2
  • write (equations to represent volume problems for right rectangular prisms) #dok2
  • identify (appropriate equations and formulas to solve area and volume problems) #dok1
  • solve (problems using area and volume equations with positive rational dimensions) #dok2
  • interpret (the meaning of each variable in the context of area and volume equations) #dok2
Learning Targets
  • I can identify the correct formula for finding area or volume of geometric shapes. #dok1
  • I can use given dimensions in the appropriate formula to write an equation for area or volume. #dok1
  • I can write equations to represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles. #dok2
  • I can write equations to represent problems related to the volume of right rectangular prisms. #dok2
  • I can solve area and volume problems when given equations and appropriate dimensions, including positive rational numbers. #dok2
  • I can interpret the meaning of the variables in area and volume equations with respect to real-world problems. #dok2
Big Ideas
  • Geometric shapes such as rectangles, parallelograms, trapezoids, triangles, and right rectangular prisms can all be represented with equations to determine area and volume.
  • Translating real-world or mathematical problems into equations using appropriate measurements is essential for solving and justifying geometric calculations.
Essential Questions
  • How can I represent the real-world area or volume problem of a shape with an equation?
  • What is the relationship between the dimensions of a figure and its area or volume?
  • How do area and volume equations change depending on the shape being measured?
  • Why is it important to use precise mathematical language and equations when solving geometric problems?
  • How can equations help communicate and solve problems involving area and volume?