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Mathematics Curriculum Framework
November 2000

Learning Standards by Strand

Measurement
for Grades 5-6

	Understand measurable attributes of objects and the units, systems, and processes of measurement
	Apply appropriate techniques, tools, and formulas to determine measurements

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

6.M.1	Apply the concepts of perimeter and area to the solution of problems. Apply formulas where appropriate.
6.M.2	Identify, measure, describe, classify, and construct various angles, triangles, and quadrilaterals.
6.M.3	Solve problems involving proportional relationships and units of measurement, e.g., same system unit conversions, scale models, maps, and speed.
6.M.4	Find areas of triangles and parallelograms. Recognize that shapes with the same number of sides but different appearances can have the same area. Develop strategies to find the area of more complex shapes.
6.M.5	Identify, measure, and describe circles and the relationships of the radius, diameter, circumference, and area (e.g., d = 2r, p = C/d), and use the concepts to solve problems.
6.M.6	Find volumes and surface areas of rectangular prisms.
6.M.7	Find the sum of the angles in simple polygons (up to eight sides) with and without measuring the angles.

Exploratory Concepts and Skills

• Explore various models for finding the area of a triangle, parallelogram, and trapezoid, and develop strategies for more complex shapes.
• Investigate volumes and surface areas of a variety of three-dimensional objects.
• Explore volume and surface areas of rectangular prisms, cylinders, and spheres.

Selected Problems or Classroom Activities
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