Congruence/Similarity:
Find/Unknown
The learner will be able to find and apply the relationships of
congruency and similarity to determine unknown values.
Pythagorean Theorem:
Apply/Side
The learner will be able to apply the Pythagorean Theorem and its
converse to determine missing lengths of sides and to determine acute,
right, and obtuse triangles.
Angle Relationships:
Recognize
The learner will be able to recognize relationships that exist among
pairs of angles (e.g., adjacent, complementary, vertical).
Shapes: Draw/Analyze
The learner will be able to draw and analyze two and three
dimensional/figures.
Angles:
Solve/Properties
The learner will be able to obtain solutions to problems by applying
the properties of angles.
Transformations:
Apply/Coordinate
The learner will be able to use transformations (including reflection,
rotation, and translation) of figures in the coordinate plane.
Similarity: Create
Ratios/Solve
The learner will be able to use similar figures to create ratios and
solve for a missing side.
Similarity: Apply
Ratios/Determine
The learner will be able to use ratios of similar figures to determine
linear distance, perimeter, area, and volume.
Properties of
Figures:Find/Unknown
The learner will be able to apply properties of two-dimensional figures
to find unknown values.
Angles:
Parallel/Transversal
The learner will be able to identify angle relationships created by
parallel and transversal lines.
Quadrilaterals:
Problem Solving
The learner will be able to develop the properties of quadrilaterals to
obtain solutions to problems.
Polygons:
Identify/Explain
The learner will be able to recognize figures as polygons and explain.
Polygons:
Apply/Measures
The learner will be able to apply the measures of the interior and
exterior angles of a convex polygon to solve problems.
Coordinate Geometry:
Coordinates
The learner will be able to determine the slope of parallel,
perpendicular, horizontal and vertical lines and determine the distance
between two points and the midpoint of a line segment by applying
coordinate geometry.
Coordinate Geometry:
Set of Points
The learner will be able to determine the type of shape based on its
properties when given a set of points.
Circle:
Recognize/Relationship
The learner will be able to identify and describe the relationships
between two chords that intersect in the interior of a circle.
The learner will be able to
identify and describe the relationships between two secants that intersect
in the exterior of a circle.
The learner will be able to
identify and describe the relationship between a secant and a tangent that
intersect in the exterior of a circle.
Circles:
Determine/Arc/Angles
The learner will be able to determine angle measures and arc measures
associated with circles.
Reasoning:
Counterexamples/Simple
The learner will be able to use logical reasoning skills (inductive and
deductive) to make and test conjectures, formulate counterexamples, follow
logical arguments, judge the validity of arguments, and construct simple
valid arguments.
Constructions:
Use/Tools
The learner will be able to construct various geometric shapes by using
geometric tools.
Measurement: Compute
The learner will be able to make computations of length,
perimeter/circumference, area, volume, and surface area of geometric
objects with missing information and correctly recognize the suitable unit
of measure of each.
Trigonometric
Functions: Express
The learner will be able to express the trigonometric functions in
ratio form, derive the relationship among sine, cosine and tangent ratios,
and apply to obtain solutions to real world problems.
Right Triangles:
Use/Relationships
The learner will be able to use the 45-45-90 and 30-60-90 right
triangle relationships to obtain solutions to problems.
