High Measurement Unit Standards Overview

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Revision as of 08:33, 28 June 2013

Unit Standards Overview

Common Core State Standard:
HSN-Q Number and Quantity

HSN-Q.A Reason quantitatively and use units to solve problems. HSN-Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. HSN-Q.A.2 Define appropriate quantities for the purpose of descriptive modeling.

HSG-MG Geometry

HSG-MG.A - Apply geometric concepts in modeling situations. HSG-MG.A.1 Use geometric shapes, their measures, and their properties to describe objects. HSG-MG.A.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). HSG-MG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Learning Progressions Frameworks Progress Indicator
H.ME.1a Making decisions about units and scales that are appropriate for problem-solving situations involving mathematics within or across mathematics disciplines or real-world context.

H.ME.1b Investigating the results when linear dimensions of objects change by some factor (e.g., area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube)

Instructional Family: Problem solving using measurement process.
Core Content Connectors addressed:
  • H.ME.1a1 Determine the necessary unit(s) to use to solve real world problems.
  • H.ME.1a2 Solve real world problems involving units of measurement.
  • 3.ME.1g1 Identify a figure as getting larger or smaller when the dimensions of the figure changes.
Instructional Family: Perimeter, Area, Volume
Core Content Connectors addressed:

H.ME.1b1 Describe the relationship between the attributes of a figure and the changes in the area or volume when 1 attribute is changed. • 8.ME.1e2 Compare area and volume of similar figures. • 6.ME.1a1 Identify the appropriate formula (i.e., perimeter, area, volume) to use when measuring for different purposes in a real life context. • 4.ME.2h1 Apply the formulas for area and perimeter to solve real world problems. • 3.ME.2h Use addition to find the perimeter of a rectangle.

Instructional Family: Scaling and Unit conversion
Core Content Connectors addressed:
  • H.ME.2b5 Apply the formula of geometric figures to solve design problems (e.g., designing an object or structure to satisfy physical restraints or minimize cost)
  • H.ME.2b1 Determine the dimensions of a figure after dilation
  • 8.ME.1e1 Describe the changes in surface area, area, and volume when the figure is changed in some way (e.g., scale drawings)
  • 7.ME.1d1 Solve problems that use proportional reasoning with ratios of length and area
  • 7.PRF.1e1 Determine unit rates associated with ratios of lengths, areas, and other quantities measured in like units
  • 5.ME.2a1 Solve problems involving conversions of standard measurement units when finding area, volume, time lapse, or mass.
  • 5.ME.1b2 Convert standard measurements of length.
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