Download FOUNDATIONS OF ALGEBRA

FOUNDATIONS OF GEOMETRY
CURRICULUM
COMPETENCY
GOALS
I.
OBJECTIVES
Review
Radical
2 days
Solving Equations
Circle Equations
2 days
1 day
Distance/Midpoint
Slope/Slope Intercept
Parallel and
Perpendicular Lines
MBC.G.5.1
2.03(d)
2 days
1 day
1 day
Explain the relationships among angles
formed by perpendicular lines and transversal
of parallel lines
9 days of instruction; 1 review day; 1 test
day; total of 11 days
Basics of Geometry
Definitions,
Notations, Angle
Pairs
MBC.G.1.4
2.02
4 days
Parallel Lines and
Transversal
MBC.G.2.3
2.02
Constructions
MBC.G.1.5
Summarize the structure and relationship
between undefined terms, defined terms,
axioms/postulates, methods of reasoning and
theorems.
Explain the relationships among angles
formed by perpendicular lines and
transversals of parallel lines.
Use paper-folding techniques, compasses and
straight edges and dynamic geometric
software to make connections among
geometric relationships.
6 days of instruction; 1 review day; 1 test
day; total of 8 days
Construct arguments that prove conjectures
and theorems or disprove conjectures related
to (c) isosceles triangles
Use the Pythagorean Theorem to solve
problems in two-and three-dimensional
settings.
1 day
Totals for Unit 2
III.
Represent circles as equations based on the
center and the radius, the center and a point
on the circle and the endpoints of the
diameter.
MBC.G.2.3
Total for Unit 1
II.
Timeframe
Triangles
Isosceles Triangles
Pythagorean
Theorem
MBC.G.6.1
2.03 (a)
MBC.G.8.1
2.03(a)
2 days
Incorporate
within units
1 day
Special Right
Triangle
Trigonometric Ratios
Angle of Elevation
and Angle of
Depression
Geometric Mean
MBC.G.8.3
2.03(a)
MBC.G.8.2
1.01
2.03(a)
Use properties of special right triangles to
solve problems.
Use sines, cosines, and tangents to determine
side lengths and angle measures in right
triangles.
3 days
MBC.G.6.1(f)
2.03(a)
Construct arguments that prove conjectures
and theorems or disprove conjectures related
to (f) geometric mean
9 days of instruction; 1 review day; 1 test
day; 11 total days
1 day
MBC.G.6.3
2.03(b)
Construct arguments to prove properties of
special quadrilaterals.
4 days of instruction; 1 review day; 1 test
day; 6 total days
Calculate the measure of central angles,
inscribed angles and circumscribed angles.
Calculate arc measure and arc length within a
circle.
9 days of instruction; 1 review day; 1 test
day; 11 total days
Use matrix operations to model translations,
reflections, origin-centered dilations and
origin–centered rotations (90 degrees, 180
degrees, and 270 degrees).
Understand the relationship of rigidity to
congruence and dilations of similarity.
4 days of instruction; 1 review day; 1 test
day; 6 total days
4 days
Use formulas and strategies to solve problems
involving volume and surface area of cones,
spheres, and composite figures,
Use the 3:2:1 relationship among volumes of
circular cylinders, hemispheres and cones
with the same height and circular base and 3:1
relationship between the volume of a prism
and pyramid with the same base area and
height.
See Above
19 days
Totals for Unit 3
IV.
Quadrilaterals
Special Properties
Totals for Unit 4
V.
Circles
All Information
MBC.G.7.1
2.03(d)
MBC.G.7.2
2.03(d)
Totals for Unit 5
VI.
Transformations
All Information
MBC.G.4.1
MBC.G.4.2
3.01
3.02
Total for Unit 6
VII.
Formulas
Area, Surface Area,
Volume
Area of Shaded
Regions
Composite Figures
MBC.G.9.1/9.2
1.02
2.04
MBC.G.9.1/9.2
1.02
2.04
MBC.G.9.1/9.2
1.02
2.04
See Above
3 days
9 days
4 days
Geometric
Probability
Similarity Ratios:
Area, Surface Area,
Volume, and Side
Length
Totals for Unit 7
Exam Review
MBC.G.9.1/9.2
1.02
2.04
MBC.G.9.1/9.2
1.02
2.04
See Above
See Above
19 days of instruction; 1 review day; 1 test
day; 21 total days
Teacher Discretion