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8/13/14 3:38 PM

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Geometry

Geometry 2017-18

Geometry Content and General Timeline

 

Semester 1 Semester 2

Quarter 1

Unit 1: Basic Terms and Constructions

Unit 2: Reasoning logic, writing a proof

Unit 3: Parallel Lines and Angles

Quarter 2

Unit 4: Transformations

Unit 5: Triangles

Quarter 3

Unit 6: Polygons and Special Quadrilaterals

Unit 7: Similarity

Unit 8: Right Triangles

Quarter 4

Unit 9: Circles

Unit 10: Volume and Surface Area

Unit 11: Probability

Topics, Objectives, Resources

 
Unit Objectives Vocabulary Resources

Basic Terms and Constructions

  • write your own definitions of many geometry terms and geometric figures

  • start a notebook with a list of all the terms and their definitions

  • discover some basic properties of transformations and symmetry

 

(Building Blocks of Geometry) definitions, point, line, plane, collinear, coplanar, line segment, ray, endpoints, midpoint, bisects, segment addition

 

(Finding Angles) angle, measure of an angle, degrees, congruent, sides of an angle, angle addition, angle bisector, outgoing angle, incoming angle, reflex measure if an angle, vertex, protractor

 

(Creating Definitions) counterexample, classify, differentiate, skew, right angle, acute angle, obtuse angle, vertical angles, complementary, supplementary, linear pair

 

(Polygons) polygon, side, vertex, diagonal, convex, concave, perimeter

 

(Triangles) right triangle, scalene triangle, obtuse triangle, acute triangle, vertex angle, base, isosceles triangle, base angles, equilateral triangle

 

(Special Quadrilaterals) trapezoid, kite, parallelogram, rhombus, rectangle, square

 

(Circles) circle, radius, center, chord, diameter, tangent, point of tangency, congruent circles, concentric circles, circumscribed, inscribed, arc, endpoints, semicircle, minor arc, major arc, arc measure, central angle

 

(Space Geometry) space, cylinder, prism, sphere, cone, pyramid, hemisphere, isometric drawing

Click here for Quizlet

 

Big Ideas: 

 

Discovering Geometry: 

Reasoning Logic, Writing a Proof

 

 

 

 

Venn diagram, inductive reasoning, conjecture, mathematical models, triangular numbers, rectangular numbers, vector, vector translation, deductive reasoning, network, composition of transformations, Law of Syllogism, inverse (of a conditional statement), contrapositive, Law of Contrapositive

 

Click here for Quizlet

Parallel Lines and Angles

 

 

 

 

transversal, corresponding angles, alternate interior angles, alternate exterior angles, parallel lines Click here for Quizlet

Transformations

 

 

 

 

image, transformation, isometry, translation, translation vector, rotation, line of reflection, reflection, rigid transformation, nonrigid transformation

 

Click here for Quizlet

Triangles

 

 

sketch, draw, construct, segment bisector, median, perpendicular bisector, coincide, equidistant, midsegment, altitude, auxiliary line, paragraph proof, legs, vertex angle, base angles, biconditional, base, centroid, exterior angle, adjacent interior angle, remote interior angle, included angle, included side, flowchart, flowchart proof, lemma Click here for Quizlet

Polygons and Special Quadrilaterals

 

kite, vertex angles (of a kite), nonvertex angles (of a kite), trapezoid, bases (of a trapezoid), base angles (of a trapezoid), isosceles trapezoid, dart, midsegment

Click here for Quizlet

Similarity

 

ratio, proportion, enlargement, reduction, similar, similar polygons, dilation, scale factor, indirect measurement, golden cut, golden rectangle, golden spiral

Click here for Quizlet

Right Triangles

 

Right Triangles

hypotenuse, leg (of a right triangle), Pythagorean Theorem, dissection, theorem, Pythagorean Triple, work, distance

 

Trigonometry

trigonometry, adjacent leg (of an acute angle in a right triangle), opposite leg (of an acute angle in a right triangle), tangent (of an acute angle in a right triangle), sine (of an acute angle in a right triangle), cosine (of an acute angle in a right triangle), inverse cosine, sine or tangent (of an acute angle in a right triangle), angle of elevation, angle of depression, clinometer, Law of Sines, Law of Cosines, bearing

Click here for Quizlet (Right Triangles)

 

Click here for Quizlet (Trigonometry)

 

Circles

  tangent segment, tangent circles, internally tangent circles, externally tangent circles, intercepted arc, inscribed angle, cyclic quadrilateral, secant, circumference, radian measure, arc length, angular velocity (of an object moving around a circle), tangential velocity Click here for Quizlet
Volume and Surface Area  

Surface Area:

area, base (of a polygon), altitude (of a parallelogram), height, apothem (of a regular polygon) sector of a circle, segment of a circle, annulus, surface area, base (of a solid), lateral face, slant height, frustrum (of a cone or pyramid)

 

Volume: 

polyhedron, face, edge, vertex (of a polyhedron) tetrahedron, pentahedron, hexahedron, heptahedron, octahedron, decahedron, dodecahedron, icosahedron, regular polyhedron, prism, pyramid, cylinder, cone, lateral face, lateral edge, altitude (of a prism or cylinder), altitude (of a pyramid or cone), axis (of a cone or cylinder), right (prism, cylinder, or cone), oblique (prism, cylinder, or cone), sphere, center (of a sphere), hemisphere, great circle, volume, displacement, density, Cavalieri's Principle

Click here for Quizlet (Surface Area)

 

Click here for Quizlet (Volume)

Probability
  • create and interpret relative frequency graphs

  • learn about randomness and the definition of probability

  • learn methods of calculating probabilities

  • count numbers of possibilities to help determine probabilities

  • determine the expected value of a random event

relative frequency graphs, probability, outcome, event, trials, experimental probability, theoretical probability, random, tree diagram, counting principle, permutations, combinations, independent, dependent, multiplication rule, expected value

Click here for Quizlet
Geometry Locker
8/13/14 3:38 PM

Polling Link

Click here to log in for in-class polls.

http://www.polleverywhere.com/strangemath 

Online Textbook

Geobook.jpg

Select this link for the Geometry online textbook at  www.pearsonsuccessnet.com

E-mail me for the username and password. I check e-mail on weekends too!

Need Graph Paper?

Select this link for graph paper you can print at home.

Online Lesson Quizzes

Quiz yourself using the online quizzes based on your textbook at PHSchool.com. The web code is based on the Chapter and Lesson. For example, for Chapter 8 Lesson 2, use webcode bca-0802. For Chapter 10, lesson 5, use webcode: bca-1005.

Course Grades

Tests 40%

Quizzes 15%

Projects 10%

Classwork and Homework 35%