MATHEMATICS PACING GUIDE
High School
GEOMETRY REGULAR
Text: Glencoe Geometry
Revised June 2007
Geometry Regular
Note: as much as possible, supplement with real-world applications and activities (The Mathematics Teacher and NCTM website are excellent sources), as well as graphing calculators or Geometer’s sketchpad. Increase relevance and retention.
Chapter 1: Points, Lines, Planes, and Angles
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Test item #s1 / 1-1 / Points, Lines, and Planes / Basic Geometry Vocabulary Flip Card Activity
Introduction to Geometry
Geometry Vocabulary / collinear, coplanar
1 / 1-2 / Linear Measures and Precision / Midpoint Formula Discovery / line segment, betweenness of points, congruent
1 / 1-3 / Distance and Midpoints / MA.B.1.4.2 / TI: The Distance Formula
Midpoint of a Segment
The Midpoint Formula / midpoint, segment bisector
1 / Mid-chapter review and quiz
1 / 1-4 / Angle Measure / “ / Measuring Angles
Activity 2: Constructing and Measuring an Angle / ray, opposite rays, vertex, angle bisector
1 / 1-5 / Angle Relationships / Got Complements? with Cabri Jr.
Vertical, Adjacent, and Supplementary Angles with Cabri Jr. / adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles, perpendicular
1 / 1-6 / Polygons / Constructing Regular Polygons
1 / Chapter Review
1 / Test/FCAT(pg. 58 – 59)
9 / Total Days
Note: In general, following chapter 1, tests should be cumulative. Include key problems from previous chapters in assignments as well as tests. Also include algebra reviews with each chapter, especially factoring and equation-solving.
Chapter 2 : Reasoning and Proof
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Item #s.5 / 2-1 / Inductive Reasoning and Conjecture / Preparing for Proofs / inductive reasoning
optional / 2-2 / Logic / NUMB3RS - Season 3 - "Money for Nothing" - Truth or Dare
.5 / 2-3 / Conditional Statements / conditional statement, hypothesis, conclusion, converse, biconditional
.5 / 2.4 / Deductive Reasoning / deductive reasoning
.5 / 2-5 / Postulates and Paragraph Proofs / MA.C.1.4.1 / postulate, theorem, two-column proof
.5 / 2-6 / Algebraic Proof / “
.5 / 2-7 / Proving Segment Relationships / “
.5 / 2.8 / Proving Angle Relationships / “
.5 / Chapter Review
1 / Test/FCAT(pg.122-123)
5 / Total Days
Geometry Regular
Chapter 3 : Parallel and Perpendicular Lines
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Item #s.5 / 3-1 / Parallel Lines and Transversals / MA.C.2.4.1 / Parallel Lines and Angles / skew lines, transversal, consecutive angles, alternate angles, corresponding angles
.5 / 3-2 / Angles and Parallel Lines / “ / Got parallel lines with corresponding angles congruent? with Cabri Jr.
1.5 / 3-5 / Proving Lines Parallel / MA.C.1.4.1
.5 / Review and Mid-chapter Quiz
1 / 3-3 / Slopes of Lines / MA.C.3.4.2 / Investigating the Slopes of Parallel and Perpendicular lines
1 / 3-4 / Equations of Lines / “
1 / 3-6 / Perpendiculars and Distance / “ / Investigate Perpendicular Bisector / equidistant
.5 / Chapter Review
1 / Test/FCAT(pg.172 – 173)
7.5 / Total Days
Note order of sections
Geometry Regular
Chapter 4 : Congruent Triangles
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Item #s.5 / 4-1 / Classifying Triangles / Classifying a Triangle By It's Angles and Sides
Classifying Triangles by the Length of the Sides Using Cabri Jr.
Classifying A Triangles by Their Angle Measure using Cabri Jr. / acute triangle, obtuse triangle, right triangle, scalene triangle, isosceles triangle, equilateral triangle, equiangular triangle, base angles, vertex angle, included side/angle
.5 / 4-2 / Angles of Triangles
Geometry Activity: Angles of Triangles
1 / 4-3 / Congruent Triangles / MA.C.2.4.1 / Exploring Congruent Figures using Cabri Jr.
1 / Mid-chapter review and quiz
1 / 4-4 / Proving Congruence SSS, SAS / “
MA.C.1.4.1 / Congruent triangles
Congruent Triangles
SSS Triangle Congruence
SAS Triangle Congruence
1 / 4-5 / Proving Congruence ASA, AAS
Geometry Activity: Congruence in Right Triangle / “ / ASA Triangle Congruence
Investigating Triangles and Congruence
.5 / 4-6 / Isosceles Triangles / Isosceles Triangle
optional / 4-7 / Triangles and Coordinate Proof / MA.C.3.4.2
.5 / Chapter Review
1 / Test/FCAT(pg.232 – 233)
7 / Total Days
Reminder: All tests are cumulative. To increase retention and recall, include important review problems with each chapter (perhaps presented in a different way, and put similar problems on the chapter test)
Geometry Regular
Chapter 5 : Relationships in Triangles
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Item #s2 / 5-1 / Bisectors, Medians, and Altitudes
Geometry Activity: Bisectors, Medians, and Altitudes / Geometry: Concurrent Lines, Medians, and Altitudes with Cabri Jr.
Altitude, Median, and Angle Bisector of a Triangle
Centers of a Triangle
Properties of the Centers of a Triangle / perpendicular bisector, concurrent lines, point of concurrency, circumcenter, incenter, median, centroid, altitude, orthocenter
.5 / 5-2 / Inequalities and Triangles / Triangle Inequalities
optional / 5-3 / Indirect Proof / MA.C.1.4.1 / Investigating the Triangle Inequality
.5 / 5-4 / The Triangle Inequality / Triangle Inequality
optional / 5-5 / Inequalities Involving Two Triangles
.5 / Chapter Review
1 / Test/FCAT(pg.278 – 279)
4.5 / Total Days
Geometry Regular
Chapter 6 : Proportions and Similarity
Block Days / Section / Topic / Benchmarks / Extensions / Vocabulary / DW Item #s1 / 6-1 / Proportions / ratio, proportion
1.5 / 6-2 / Similar Polygons / Similar Figures / scale factor, similar polygons
1.5 / 6-3 / Similar Triangles / Similar Triangles and Proportions / mid-segment
1 / 6-4 / Parallel Lines and Proportional Parts / MA.C.2.4.1
MA.C.3.4.1 / Sail Problem (Parallel Lines & Segment Relationships)
Proportional Segments
.5 / 6-5 / Parts of Similar Triangles / “ / Similar Triangles and Proportions
optional / 6-6 / Fractals and Self-Similarity / Using Cabri Geometry to Create Fractals
.5 / Chapter Review
1 / Test/FCAT(pg.338 - 339)
7 / Total Days
Instructional Days: 40
Flex Days: 5
45
Reminder: To increase relevance and retention, include real-world applications (a great source is in NCTM publications and websites), graphing calculators or Geometer’s sketchpad. Also, all tests are cumulative. For example, the Chapter 7 Review and Test should include important problems from Chapters 1-6. Research indicates that this practices improves retention and recall. Also review algebra, especially equation-solving and factoring.