DRAFT – Math C
Unit 4A– Plane Figures: Measurement and Area
Glencoe Resource
Enduring
Understandings
Essential Questions
Constructions are based on
properties of the geometric
figures.
How are geometric properties used to construct geometric figures?
Relationships exist among
the angles, sides, lengths,
perimeters, areas, and
volumes of geometric
figures.
How are interior angles, exterior angles, and number of sides of a
polygon related?
How are one, two and three-dimensional measures related?
How is proportionality of geometric figures used to solve
problems?
Geometric figures can
change size and/or position
while maintaining
proportional attributes.
Selection of standard
measurement tools and
units depend on the real
world situation.
Indicators
2.8.1.1 determine the sum of the measures of interior angles of polygons by partitioning into
triangles.
2.8.1.2 apply the properties of two- and three-dimensional figures to solve problems.
2.8.2.2 find measures of interior and exterior angles of a triangle.
2.8.3.1 use a compass and straightedge to construct triangles and rectangles.
2.8.4.1 graph plane figures that are similar to a given figure (dilations).
2.8.5.1 apply the properties of equality and proportionality to solve problems involving congruent
and similar figures.
Resources
Review
Algebra Activity:
Constructions, pp.
498-499
Required
(2.8.3.1)
See Notes boxes for constructions.
9-7
10-1 Line and Angle
Relationships
MCPS2003-2004(revised)
(2.8.5.1)
Similar Triangles and Indirect
Measurement
4
Enrichment/
Acceleration
9-7 Algebra Activity:
Ratios in Right
Triangles, p. 476
9-8 Sine, Cosine, and
Tangent Ratios
DRAFT – Math C
Unit 4B– Solid Figures: Measurement, Area, and Volume
Glencoe Resource
Enduring
Understanding
Essential Question
Selection of standard
measurement tools and
units depends on the real
world situation.
How are one-, two- and three-dimensional measures related?
Indicators
2.8.1.2 apply the properties of two- and three-dimensional figures to solve problems.
3.8.2.1 estimate conversions between units of the same measurement system to solve problems.
3.8.3.1 determine relationships among length, area, and volume and describe how a change in one
measure affects the others.
Resources
Review
Geometry Activity:
Building ThreeDimensional Figures,
pp. 554-555
Required
11-2
(2.8.1.2)
Geometry Activity: Similar Solids, p.
583
11-1 ThreeDimensional
Figures
Geometry Activity:
Volume, p.562
Reading Mathematics:
Precision and
Accuracy, p.589
(2.8.1.2, 3.8.3.1)
Volume: Prisms and Cylinders
Family Math: The Middle School
Years, “Growing Cubes,” pp. 84-85
11-2
Enrichment
Master, p. 618
Reading to Learn Mathematics
“How is Volume Related to Area?”
Resource Master, p. 617
11-4
Enrichment
Master, p. 628
11-3
(2.8.1.2, 3.8.3.1)
Volume: Pyramids and Cones
Enrichment Master, p.623
11-4
(2.8.1.2)
Surface Area: Prisms and Cylinders
11-5
(2.8.1.2, 3.8.3.1)
Surface Area: Pyramids and Cones
11-7
(3.8.2.1)
Precision and Significant Digits
MCPS2003-2004(revised)
Enrichment/
Acceleration
11-1 ThreeDimensional
Figures
(Diagonals and
skew lines)
32