GEOM.MATH.10.B

Determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change.

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

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Vocabulary
linear dimensionsshapeperimeterareasurface areavolumeproportional dimensional changenon-proportional dimensional change
Skills
  • identify (linear dimensions of a shape) #dok1
  • describe (changes in linear dimensions and their effects) #dok2
  • determine (how changes in linear dimensions affect perimeter, area, surface area, or volume) #dok2
  • analyze (effects of proportional and non-proportional dimensional changes) #dok3
Learning Targets
  • I can identify the linear dimensions of a geometric shape. #dok1
  • I can recall the formulas for perimeter, area, surface area, and volume. #dok1
  • I can describe how changing a dimension alters the measurements of shapes. #dok2
  • I can determine how a proportional change in dimensions affects the perimeter, area, surface area, or volume. #dok2
  • I can determine how a non-proportional change affects the perimeter, area, surface area, or volume. #dok2
  • I can analyze and explain the effects of changing one or more dimensions on perimeter, area, surface area, or volume in real-world scenarios. #dok3
  • I can justify the impact of dimensional changes using mathematical reasoning and evidence. #dok3
Big Ideas
  • Changing one or more linear dimensions of a shape impacts its perimeter, area, surface area, or volume in predictable ways.
  • Understanding the relationship between dimensional changes and measurements of figures helps solve real-world geometry problems.
Essential Questions
  • How do changes in the length, width, or height of a shape affect its perimeter, area, surface area, and volume?
  • What is the difference between proportional and non-proportional dimensional changes, and how do they each influence a figure’s measures?
  • Why is it important to understand the relationships among linear dimensions and other measurements in geometric figures?
  • How can you use mathematical reasoning to predict the effects of changing a shape’s dimensions?
  • In what real-life situations is it important to consider how changing one or more dimensions affects an object’s measurements?