Download GEOMETRY

GEOMETRY
2016-2017
INSTRUCTOR: Mrs. Bechtel
ROOM: 208
E-MAIL: [email protected]
PHONE: 815-772-4071
TEXT: Glencoe, Geometry, 2005
PREREQUSITE: Algebra 1
MATERIALS:
3-ring binder (will be used for Geometry only)
3-ring dividers (2)
loose leaf paper
pencils
ruler-inches and centimeters
protractor
calculator
textbook cover
DESCRIPTION: Geometry uses basic assumptions, definitions, and theorems to reason
deductively to new conclusions. This process is known as formal proof.
Other topics covered include congruent and similar triangles, parallel
lines, polygons, quadrilaterals, circles, right triangles, trigonometry, and
coordinate geometry. Each chapter incorporates some review of Algebra.
EVALUATION: Grades will be based on homework, notes, vocabulary checks,
quizzes, projects and tests. Semester exams are worth 20% of the
semester grade. Each quarter is worth 40% of the semester grade. Extra
credit will be sporadic.
UNIT CHRONOLOGY AND BENCHMARKS:
Chapter 1: Points, Lines, Planes and Angles
Students will know and be able to:
 Identify and model points, lines and planes
 Measure segments
 Construct and copy line segments, angles, perpendicular
lines and midpoints
 Bisect segments and angles
 Calculate the distance between points and find the
midpoint of a segment
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Measure and classify angles and identify angle
relationships
Identify polygons and find their perimeters
Chapter 2: Reasoning and Proof
Students will know and be able to:
 Make conjectures, determine whether a statement is true or
false, and find counterexamples for statements.
 Use deductive reasoning to reach valid conclusions
 Verify algebraic and geometric conjectures using informal
and formal proof
 Write proofs involving segment and angle theorems
Chapter 3: Parallel and Perpendicular Lines
Students will know and be able to:
 Identify angle relationships that occur with parallel lines
and a transversal, and identify and prove lines parallel from
given angle relationships
 Use slope to analyze a line and to write its equation
Chapter 4: Congruent Triangles
Students will know and be able to:
 Classify triangles
 Apply the Angle Sum Theorem and the Exterior Angle
Theorem
 Identify corresponding parts of congruent triangles
 Test for triangle congruence using SSS, SAS, ASA, and
AAS
 Use properties of isosceles and equilateral triangles
 Write coordinate proofs
Chapter 5: Relationships in Triangles
Students will know and be able to:
 Identify and use perpendicular bisectors, angle bisectors,
medians, and altitudes of triangles
 Apply properties of inequalities relating to the measures of
angles and sides of triangles
 Use indirect proof with algebra and geometry
 Apply the Triangle Inequality Theorem and SAS and SSS
inequalities
Chapter 6: Proportions and Similarity
Students will know and be able to:
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Identify similar polygons and use ratios and proportions to
solve problems
Recognize and use proportional parts to solve problems
FALL SEMESTER EXAM
Chapter 7: Right Triangles and Trigonometry
Students will know and be able to:
 Solve problems using the Pythagorean Theorem, and its
converse
 Use trigonometric ratios to solve right triangle problems
 Use the Law of Sines to solve non-right triangles
Chapter 8: Quadrilaterals
Students will know and be able to:
 Investigate interior and exterior angles of polygons
 Recognize and apply the properties of parallelograms
 Recognize and apply the properties of rectangles, rhombi,
squares, and trapezoids
 Position quadrilaterals for use in coordinate proof
Chapter 10: Circles
Students will know and be able to:
 Identify parts of a circle and solve problems involving
circumference
 Find arc and angle measures in a circle
 Find measures of segments in a circle
 Write the equation of a circle
Chapter 11: Areas of Polygons and Circles
Students will know and be able to:
 Find the areas of parallelograms, triangles, rhombi,
trapezoids, regular polygons, and circles
 Find areas of irregular figures
 Find geometric probability and areas of sectors and
segments of circles
Chapter 9: Transformations
Students will know and be able to:
 Recognize and draw reflections
 Recognize and draw translations
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Recognize and draw rotations
Recognize and draw dilations
Find magnitudes and directions for vectors
Perform translations with vectors
Add, subtract and multiply matrices
Use matrices to determine the coordinates of translations,
dilations, reflections and rotations
Chapter 12: Surface Area
Students will be able to find the surface area of:
 Prisms
 Cylinders
 Pyramids
 Cones
 Spheres
FINAL EXAM