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STANDARDS

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US-VA

Math

Virginia Math

Grade 3: Measurement and Geometry

3.MG.1

The student will reason mathematically using standard units (U.S. Customary and metric) with appropriate tools to estimate and measure objects by length, weight/mass, and liquid volume to the nearest half or whole unit.

3.MG.1.a

Justify whether an estimate or an exact measurement is needed for a contextual situation and choose an appropriate unit.
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3.MG.1.b

Estimate and measure:

3.MG.1.b.i

length of an object to the nearest U.S. Customary unit (1/2 inch, inch, foot, yard) and metric unit (centimeter, meter);
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3.MG.1.b.ii

weight/mass of an object to the nearest U.S. Customary unit (pound) and metric unit (kilogram); and
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3.MG.1.b.iii

liquid volume to the nearest U.S. Customary unit (cup, pint, quart, gallon) and metric unit (liter).
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3.MG.1.c

Compare estimates of length, weight/mass, or liquid volume with the actual measurements.
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3.MG.2

The student will use multiple representations to estimate and solve problems, including those in context, involving area and perimeter (in both U.S. Customary and metric units).

3.MG.2.a

Solve problems, including those in context, involving area:

3.MG.2.a.i

describe and give examples of area as a measurement in contextual situations; and

3.MG.2.a.ii

estimate and determine the area of a given surface by counting the number of square units, describe the measurement (using the number and unit) and justify the measurement.

3.MG.2.b

Solve problems, including those in context, involving perimeter:

3.MG.2.b.i

describe and give examples of perimeter as a measurement in contextual situations;

3.MG.2.b.ii

estimate and measure the distance around a polygon (with no more than six sides) to determine the perimeter and justify the measurement; and
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3.MG.2.b.iii

given the lengths of all sides of a polygon (with no more than six sides), determine its perimeter and justify the measurement.

3.MG.3

The student will demonstrate an understanding of the concept of time to the nearest minute and solve single-step contextual problems involving elapsed time in one-hour increments within a 12-hour period.

3.MG.3.a

Tell and write time to the nearest minute, using analog and digital clocks.
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3.MG.3.b

Match a written time (e.g., 4:38, 7:09, 12:51) to the time shown on analog and digital clocks to the nearest minute.
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3.MG.3.c

Solve single-step contextual problems involving elapsed time in one-hour increments, within a 12-hour period (within a.m. or within p.m.) when given:

3.MG.3.c.i

the starting time and the ending time, determine the amount of time that has elapsed;
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3.MG.3.c.ii

the starting time and amount of elapsed time in one-hour increments, determine the ending time; or
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3.MG.3.c.iii

the ending time and the amount of elapsed time in one-hour increments, determine the starting time.
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3.MG.4

The student will identify, describe, classify, compare, combine, and subdivide polygons.

3.MG.4.a

Describe a polygon as a closed plane figure composed of at least three line segments that do not cross.
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3.MG.4.b

Classify figures as polygons or not polygons and justify reasoning.
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3.MG.4.c

Identify and describe triangles, quadrilaterals, pentagons, hexagons, and octagons in various orientations, with and without contexts.

3.MG.4.d

Identify and name examples of polygons (triangles, quadrilaterals, pentagons, hexagons, octagons) in the environment.
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3.MG.4.e

Classify and compare polygons (triangles, quadrilaterals, pentagons, hexagons, octagons).

3.MG.4.f

Combine no more than three polygons, where each has three or four sides, and name the resulting polygon (triangles, quadrilaterals, pentagons, hexagons, octagons).
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3.MG.4.g

Subdivide a three-sided or four-sided polygon into no more than three parts and name the resulting polygons.
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