Download Geometry Regular - School District of Marshfield

School District of Marshfield
Course Syllabus
Course Name: Geometry
Length of Course: Year
Credits: 1
Course Description:
Use geometric terminology and notation to describe 2-D and 3-D objects.
Apply properties of polygons and circles. Use formulas to calculate length,
angle measure, midpoint, slope, area, and volume. Reason proportionally
and solve trigonometric equations. Use the coordinate plane to characterize
geometric properties.
PREREQUISITE: Algebra 1 (205) or Algebra 1 H (206).
Learning Targets:
• Use points, lines, planes and angles
• Apply properties of triangles and properties of congruent and similar
shapes
• Apply trigonometric relationships
• Apply properties of quadrilaterals
• Calculate perimeter, area, and volume of objects
• Apply properties of circles
Topic/Content Outline-Units and Themes:
First Quarter
1. Review of Algebra Skills (1 week)
A. Solving equations
B. Solving Systems of Equations
C. Coordinate Systems Basics
2. Points, Lines, Planes and Angles (8 weeks)
A. Identify and model points, lines, planes.
B. Identify collinear and coplanar points, intersecting lines, intersecting
planes.
C. Measure segments to nearest 1/16 of an inch and nearest 1/10 of a
cm.
D. Use a formula to find the midpoint of a segment.
E. Use a formula to find the distance between two points.
F. Classify angles.
G. Measure angles to the nearest degree.
H. Identify and use special pairs of angles.
I. Identify and describe polygons.
J. Use the symbols, diagram markings, and vocabulary of points, lines,
planes, and angles.
K. Use properties of angle pairs formed by two lines and a transversal.
L. Find slopes of lines.
M. Use slope to identify parallel and perpendicular lines.
N. Write and graph linear equations.
O. Construct (with ruler, protractor and compass) congruent segments
and angles, bisectors of segments and angles, perpendicular lines and
parallel lines.
P. Make and test conjectures
Q. Recognize conditionals and biconditionals
Second Quarter
3. Triangle properties, congruence, similarity (9 weeks)
A. Classify triangles by sides and angles.
B. Apply the Angle Sum Theorem for triangles.
C. Identify congruent triangles.
D. Use properties of isosceles and equilateral triangles.
E. Apply properties of special segments of triangles.
F. Apply properties of inequalities of triangles.
G. Apply the exterior angle theorem
H. Apply the triangle inequality theorem
I. Draw the concurrency points with ruler, protractor, compass and using
technology
J. Use ratios and proportions to solve problems.
K. Apply properties of similar figures
L. Use the coordinate plane to analyze properties of triangles
M. Apply properties of congruency and similarity to transformations.
Third Quarter
4. Trigonometry (5 weeks)
A. Simplify Square Roots (put values in simplest radical form as well as
decimals)
B. Use the Pythagorean Theorem
C.
D.
E.
F.
G.
H.
Use properties of 30-60-90 and 45-45-90 triangles.
Find sine, cosine, and tangent ratios of right triangles.
Solve problems involving angles of elevation and depression.
Use the Law of Sines to solve triangles.
Use the Law of Cosines to solve triangles.
Apply trigonometry to real world situations.
5. Quadrilaterals (4 weeks)
A. Determine measures of interior and exterior angles of polygons.
B. Compare and contrast properties of quadrilaterals, parallelograms,
rectangles, rhombi, squares, kites, and trapezoids.
C. Use the coordinate plane to analyze properties of quadrilaterals.
Fourth Quarter
6. Perimeter, Area and Volume (6 weeks)
A. Find perimeter of circles, triangles, kites, parallelograms, rectangles,
rhombi, squares, trapezoids, regular polygons and irregular figures.
B. Determine area of circles, triangles, kites, parallelograms, rectangles,
rhombi, squares, trapezoids, regular polygons, and irregular figures.
C. Assign names to polyhedron, spheres, cones, and cylinders.
D. Identify nets of polyhedron, spheres, cones, and cylinders.
E. Calculate surface area of regular prisms, pyramids, cylinders, cones,
and spheres.
F. Calculate volume of regular prisms, pyramids, cylinders, cones, and
spheres.
7. Circles (3 weeks)
A. Identify parts of circles (center, diameter, radius, chord, secant,
tangent)
B. Write and graph equations of a circle
C. Find the degree measure and length of arcs of circles
D. Use properties of chords
E. Find the measures of angles of circles (inscribed angles, central
angles, two secant angles, two chord angles, secant-tangent angles,
two tangent angles)
Resources:
Textbook: Geometry, Glencoe 2010
Glencoe digital resources
Geometer’s Sketchpad software
Interactive Whiteboard and data projector
Scientific calculator