Download Geometry Scope and Sequence WEHS 2012-13

Geometry
Scope & Sequence
I. Foundations for Geometry
A. Points, lines, and planes
B. Measuring segments and angles
C. Pairs of angles
D. Formulas in geometry
E. Midpoint and distance
F. Transformations
II. Geometric Reasoning
A. Inductive Reasoning
B. Conditionals and deductive reasoning
C. Biconditionals and definitions
D. Algebraic proof
E. Geometric proof
III. Parallel and Perpendicular Lines
A. Exploring lines and angles
B. Exploring parallel lines and transversals
C. Exploring perpendicular lines
D. Determining the slope of a line
E. Classifying lines as parallel, intersecting or coinciding
F. Writing equations of lines
IV. Triangle Congruence
A. Properties and angle relationships in triangles
B. Congruent triangles
C. Triangle congruence
D. Isosceles and equilateral triangles
V. Properties and Attributes of Triangles
A. Perpendicular and angle bisectors
B. Bisectors, medians, and altitudes of triangles
C. The triangle midsegment theorem
D. Indirect proof
E. Inequalities in one and two triangles
F. Pythagorean theorem and special right triangles
VI. Polygons and Quadrilaterals
A. Properties and attributes of polygons
B. Properties of parallelograms
C. Conditions for parallelograms
D. Rectangles, rhombuses, and squares
E. Kites and trapezoids
VII. Similarity
A. Ratio and proportion
B. Ratios in similar polygons and triangle similarity
C. Properties of similar triangles and proportional relationships
D. Similarity in the coordinate plane
VIII. Right Triangles
A. Similarity in right triangles
B. Trigonometric ratios and angle measures
C. Solving right triangles
D. Angles of elevation and depression
E. Law of sines and law of cosines
IX. Extending Perimeter, Circumference and Area
A. Developing area and perimeter formulas
B. Composite figures
C. Perimeter and area in the coordinate plane
D. Effects of changing dimensions proportionally
G. Geometric probability
X. Spatial Reasoning
A. Solid geometry
B. Representations of three-dimensional figures
C. Formulas in three dimensions
D. Surface area
E. Volume
XI. Circles
A. Lines that intersect circles
B. Arcs, chords and sectors
C. Inscribed angles
D. Angle and segment relationships in circles
E. Circles in the coordinate plane
XII. Extending Transformational Geometry
A. Reflections
B. Translations and rotations
C. Composition of transformations
D. Symmetry
E. Tessellations
F. Dilations