Sutherland
Geometry
Strand Title: Geometric/Measurement
Content Standard # Characteristics: Students will analyze characteristics, properties, and
relationships among geometric shapes and objects.
MA 12.2.1
Unit Outcomes
MA 12.2.1 (a) Identify and explain the necessity of and give
examples of definitions and theorems.
MA 12.2.1 (b) Analyze properties and relationships among
classes of two and three-dimensional geometric objects using
inductive reasoning and counterexamples.
MA 12.2.1 (c) State and prove geometric theorems using
deductive reasoning (e.g., parallel lines with transversals,
congruent triangles, similar triangles)
MA 12.2.1 (d) Apply geometric properties to solve problems
(e.g., parallel lines, line transversals, similar triangles, congruent
triangles, proportions)
MA 12.2.1 (e) Identify and apply right triangle relationships (e.g.,
soh, cah, toa, (30,60, 90 and 45,45, 90 triangles), converse of
the Pythagorean Theorem)
MA 12.2.1 (f) Recognize that there are geometries, other than
Euclidean geometry, in which parallel postulate is not true
MA 12.2.1 (g) Know the definitions and basic properties of a
circle and use them to prove basic theorems and solve
problems.
Additional:
The students will classify two-dimensional shapes by the
number of sides and angle measurements
The students will classify three-dimensional shapes by bases,
lateral faces, and base angles
The students will determine missing sides and angle measures
of non-right triangles with the Law of Sines
The students will determine lengths and angles of geometric
shapes using similarity and line transversal. The following
special angle pairs will be applied: corresponding angles,
alternate interior angles, alternate exterior angles, same side
interior angles, and vertical angles.
2/6/16
Vocabulary
Theorem
Definition
Inductive reasoning
Deductive reasoning
Transversal
Triangle
Congruent
Parallel
Similar
Proportion
Circle
Base
Face
Corresponding angles
Alternate exterior angles
Alternate interior angles
Same side interior angles
Vertical angles
Suggested Resources
Inspiration software to
classify 2-D shapes
Sutherland
Geometry
The students will incorporate the triangle sum theorem when
two angles of any triangle are known
The students will apply similarity properties to form proportions
to find missing lengths of polygons
District Assessment
Strand Title: Geometric/Measurement
Content Standard # Coordinate Geometry: Students will use coordinate geometry to analyze
and describe relationships in the coordinate plane.
MA 12.2.2
Unit Outcomes
Vocabulary
MA 12.2.2 (a) Use coordinate geometry to analyze geometric
situations (e.g., parallel lines, perpendicular lines, and circle
equations)
MA 12.2.2 (b) Apply the midpoint formula when given two
points.
MA 12.2.2 (c) Apply the distance formula when given two
points.
MA 12.2.2 (d) Prove special types of triangles and quadrilaterals
(e.g., right triangles, isosceles trapezoid, parallelogram,
rectangle, square)
Additional:
Perpendicular
Midpoint formula
Distance formula
Quadrilateral
Isosceles
Trapezoid
Parallelogram
Rectangle
Square
Slope
Suggested Resources
The students will determine the slope and midpoints
of sides of polygons from a graph or when given
vertices of the polygon
The students will compare and contrast slopes of
parallel and perpendicular lines of sides of a polygons
District Assessment
2/6/16
Sutherland
Geometry
Strand Title: Geometric/Measurement
Content Standard # Transformations: Students will apply and analyze transformations.
MA 12.2.3
Unit Outcomes
MA 12.2.3 (a) Explain and justify the effects of simple
transformations on the ordered pairs of two-dimensional
shapes.
Vocabulary
Transformation
MA 12.2.3 (b) Perform and describe multiple transformations
Suggested Resources
Geogebra software for
transformation
District Assessment
2/6/16
Sutherland
Geometry
Strand Title: Geometric/Measurement
Content Standard # Spatial Modeling: Students will use visualization, spatial reasoning, and
geometric modeling to solve problems.
MA 12.2.4
Unit Outcomes
Vocabulary
MA 12.2.4 (a) Sketch and draw appropriate
representations of geometric objects using ruler,
protractor or technology
MA 12.2.4 (b) Use geometric models to visualize,
describe, and solve problems (e.g., find the height of a
tree; find the amount of paint needed for a room; scale
model)
Ruler
Protractor
Geometric model
Accuracy
Line segment
Additional:
The students will demonstrate the accuracy of several
measuring devices for various angles and line
segments.
Suggested Resources
An example of a hail claim
on a roof
District Assessment
2/6/16
Sutherland
Geometry
Strand Title: Geometric/Measurement
Content Standard # Measurement: Students will apply the units, systems, and formulas to
solve problems.
MA 12.2.5
Unit Outcomes
MA 12.2.5 (a) Use strategies to find surface area and volume of
complex objects
MA 12.2.5 (b) Apply appropriate units and scales to solve
problems involving measurement
MA 12.2.5 (c) Convert between various units of area and
volume, such as square feet to square yards
MA 12.2.5 (d) Convert equivalent rates (e.g., feet/second to
miles/second to miles/hour)
MA 12.2.5 (e) Find arc length and area of sectors of a circle
MA 12.2.5 (f) Determine surface area and volume of threedimensional objects (e.g., spheres, cones, pyramids, prisms,
cylinders)
MA 12.2.5 (g) Know that the effect of a scale factor K on length,
area and volume is to multiply each k, K^2, and K^3
respectively)
Additional:
Students will calculate perimeter and area of 2-D
shapes with given formulas. (e.g., triangles,
quadrilaterals, pentagons through n-gons, and circles)
District Assessment
2/6/16
Vocabulary
Surface area
Volume
Arc length
Area of a sector
Spheres
Cone
Pyramid
Prisms
Cylinder
Scale factor
Perimeter
Suggested Resources