COURSE OBJECTIVES

CONTENT OUTLINE

Identify and use basic geometry terms and properties

• Find lengths of segments in the coordinate plane
• Name, measure, and classify angles
• Describe and use special angle relationships to find angle measures
• Find dimensions of polygons
• Use properties of special pairs of angles
• Identify angle pairs formed by three intersecting lines
• Use angles formed by parallel lines and transversals
• Classify triangles and find measures of their angles
• Identify congruent figures

Incorporate algebra skills into geometry situations

• Find and compare slopes of lines
• Find equations of lines
• Find the distance between a point and a line

Use inductive and deductive reasoning

• Describe patterns and use inductive reasoning
• Use angle relationships to prove that lines are parallel

Understand and apply properties of congruent relationships

• Use the side lengths to prove triangles are congruent
• Use sides and angles to prove congruence
• Use two more methods to prove congruence
• Use congruent triangles to prove corresponding parts congruent
• Use theorems about isosceles and equilateral triangles
• Create an image congruent to a given triangle

Understand and apply properties of special segments in triangles

• Use properties of midsegments and write coordinate proofs
• Use perpendicular bisectors to solve problems
• Use angle bisectors to find distance relationships
• Use medians and altitudes of triangles
• Find possible side lengths of a triangle
• Use inequalities to make comparisons in two triangles

Understand and apply properties of similarity

• Show that triangles are similar.
• Use indirect measurement and similarity.
• Use ratios and proportions to solve geometry problems
• Use proportions to identify similar polygons
• Use the AA Similarity Postulate
• Use the SSS and SAS Similarity Theorems
• Explore the properties of fractals
• Use proportions with a triangle or parallel lines
• Perform dilations

Understand and apply special properties of right triangles

• Find the side lengths in right triangles
• Use the converse of Pythag. Theorem to determine if a triangle is a right triangle
• Use properties of the altitude of a right triangle
• Use similar right triangles
• Use the relationships among the sides in special right triangles
• Use the tangent ratio for indirect measurement
• Apply the tangent ratio
• Apply the sine and cosine ratios
• Use trigonometry with acute and obtuse triangles – Laws of Sines and Cosines
• Solve right triangles

Understand and apply relationships in quadrilaterals

• Find angle measures in polygons
• Find angle and side measures in parallelograms
• Use properties to identify parallelograms
• Use properties of rhombuses, rectangles, and squares
• Use properties of trapezoids and kites
• Identify special quadrilaterals

Perform basic congruence and similarity transformations

• Reflect a figure in any given line
• Rotate figures about a point
• Use drawing tools and matrices to draw dilations

Understand and use properties and relationships in circles

• Use properties of a tangent to a circle
• Use angle measures to find arc measures
• Use relationships of arcs and chords in a circle
• Use inscribed angles of circles
• Find the measures of angles inside or outside a circle
• Find segment lengths in circles
• Write equations of circles in the coordinate plane

Apply area formulas and relate length, perimeter, and area ratios in similar polygons

• Find areas of triangles and parallelograms
• Find areas of other types of quadrilaterals
• Use ratios to find areas of similar figures
• Find arc lengths and other measures
• Find areas of circles and sectors
• Find areas of regular polygons inscribed in circles
• Use lengths and areas to find geometric probabilities

Explore solids and their properties while solving problems using surface area and volume

• Investigate solids using nets
• Find surface areas of prisms and cylinders
• Find surface areas of pyramids and cones
• Find volumes of prisms and cylinders
• Find volumes of pyramids and cones
• Find surface areas and volumes of spheres
• Compare surface areas and volumes of similar solids
• Use properties of similar solids

RESOURCE MATERIALS

ASSESSMENT OPTIONS

• Major Text – Geometry (McDougall Littell)
• Chapter Resource Books
• Chapter Transparency Books
• Notetaking Guide
• Power Presentations:  The Electronic Classroom CD-ROM
• Activity Generator CD-ROM
• Easy Planner  CD-ROM
• www.classzone.com
• Animated Geometry CD-ROM
• @HomeTutor CD-ROM
• Test Generator CD-ROM
• www.studyisland.com
• Unit Tests
• Cumulative Tests
• Midterm Exam
• Final Exam
• Standardized Tests
• Open-Ended Assessments
• Quizzes
• Projects
• Math Journal
• Oral Presentations
• Observation
• Evaluate written work
• Performance assessments
• Tests, quizzes
• Problem solving journal/activity
• Evaluate oral response
• Anecdotal records
• Performance tasks