BACK TO High School Mathematics UDL Instructional Unit
| Common Core State Standard:
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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.
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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).
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| Common Core State Standard: Standards for Mathematical Practice
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| CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP2 Reason abstractly and quantitatively.
CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others.
CCSS.Math.Practice.MP4 Model with mathematics.
CCSS.Math.Practice.MP5 Use appropriate tools strategically.
CCSS.Math.Practice.MP6 Attend to precision.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.
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| Learning Progressions Frameworks Progress Indicator
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| 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)
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| Instructional Family: Problem solving using measurement process.
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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.
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| Instructional Family: Perimeter, Area, Volume
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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.
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| Instructional Family: Scaling and Unit conversion
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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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