Essential
Math Mapping
Measurement and Geometry Module
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Lesson 1 Units of Measurement |
7MG1.1 Compare
weights, capacities, geometric measures, times, and temperatures within and
between measurement systems (e.g., miles per hour and feet per second, cubic
inches to cubic centimeters). 7MG1.3 Use measures expressed as rates (e.g., speed, density) and
measures expressed as products (e.g., person-days) to solve problems; check
the units of the solutions; and use dimensional analysis to check the reasonableness
of the answer. 7MG2.4 Relate the changes in measurement
with a change of scale to the units used (e.g., square inches, cubic feet)
and to conversions between units. |
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Lesson 2 Perimeter, Circumference and Area |
7MG2.1 Use
formulas routinely for finding the perimeter and area of basic
two-dimensional figures and the surface area and volume of basic
three-dimensional figures, including rectangles, parallelograms, trapezoids,
squares, triangles, circles, prisms, and cylinders. 7MG2.2 Estimate
and compute the area of more complex or irregular two-and three-dimensional
figures by breaking the figures down into more basic geometric objects. 7MG2.4 Relate the changes in measurement
with a change of scale to the units used (e.g., square inches, cubic feet)
and to conversions between units. |
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Lesson 3 Surface
Area and Volume |
7MG2.1 Use
formulas routinely for finding the perimeter and area of basic
two-dimensional figures and the surface area and volume of basic
three-dimensional figures, including rectangles, parallelograms, trapezoids,
squares, triangles, circles, prisms, and cylinders. 7MG2.3 Compute
the length of the perimeter, the surface area of the faces, and the volume of
a three-dimensional object built from rectangular solids. 7MG2.4 Relate the changes in measurement
with a change of scale to the units used (e.g., square inches, cubic feet)
and to conversions between units. |
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Lesson 4 The
Pythagorean Theorem |
7MG3.3 Know and understand the
Pythagorean theorem and its converse and use it to find the length of the
missing side of a right triangle and the lengths of other line segments and,
in some situations, empirically verify the Pythagorean theorem by direct
measurement. |
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Lesson 5 Geometric
Proportions |
7MG1.2 Construct
and read drawings and models made to scale. 7MG2.3 Compute
the length of the perimeter, the surface area of the faces, and the volume of
a three-dimensional object built from rectangular solids. Understand that
when the lengths of all dimensions are multiplied by a scale factor, the surface
area is multiplied by the square of the scale factor and volume is multiplied
by the cube of the scale factor. |
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Lesson 6 Polygon
Relationships |
7MG3.2 Understand
and use coordinate graphs to plot simple figures, determine lengths and areas
related to them, and determine their image under translations and
reflections. 7MG3.4 Demonstrate an understanding of conditions that
indicate two geometrical figures are congruent and what congruence means
about the relationships between the sides and angles of the two figures. |
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Lesson 7 Mathematical Reasoning |
MR1.2 Formulate and justify mathematical conjectures
based on a general description of the mathematical question or problem posed.
MR2.4 Make and test conjectures by using both inductive
and deductive reasoning. |