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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 1 Sectio n 1-1 Topic 1 1-2 1 1-3 Benchmark s Extensions Vocabulary Points, Lines, and Planes Basic Geometry Vocabulary Flip Card Activity Introduction to Geometry Geometry Vocabulary collinear, coplanar Linear Measures and Precision Distance and Midpoints Midpoint Formula Discovery TI: The Distance Formula line segment, betweenness of points, congruent midpoint, segment bisector MA.B.1.4. 2 Midpoint of a Segment The Midpoint Formula 1 1 1-4 Mid-chapter review and quiz Angle Measure “ Measuring Angles Activity 2: Constructing and Measuring an Angle ray, opposite rays, vertex, angle bisector DW Test item #s 1 1-5 Angle Relationships 1 1-6 Polygons 1 Chapte r Revie w 1 9 Got Complements? with Cabri Jr. Vertical, Adjacent, and Supplementary Angles with Cabri Jr. Constructing Regular Polygons adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles, perpendicular Test/FCAT(pg. 58 – 59) 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 .5 Section 2-1 optional 2-2 Topic Inductive Reasoning and Conjecture Logic .5 2-3 Conditional Statements .5 2.4 Deductive Reasoning .5 2-5 Postulates and Paragraph Proofs MA.C.1.4.1 .5 .5 2-6 2-7 “ “ .5 2.8 Algebraic Proof Proving Segment Relationships Proving Angle Relationships Chapter Review Test/FCAT(pg.122-123) Total Days .5 1 5 Benchmarks Extensions Preparing for Proofs Vocabulary inductive reasoning NUMB3RS - Season 3 - "Money for Nothing" - Truth or Dare conditional statement, hypothesis, conclusion, converse, biconditional deductive reasoning “ postulate, theorem, twocolumn proof DW Item #s Geometry Regular Chapter 3 : Parallel and Perpendicular Lines Block Days .5 Section 3-1 Topic Parallel Lines and Transversals Benchmarks Extensions Parallel Lines and Angles MA.C.2.4.1 .5 3-2 Angles and Parallel Lines “ 1.5 .5 3-5 MA.C.1.4.1 1 3-3 Proving Lines Parallel Review and Mid-chapter Quiz Slopes of Lines 1 1 3-4 3-6 Equations of Lines Perpendiculars and Distance Chapter Review Test/FCAT(pg.172 – 173) Total Days “ “ .5 1 7.5 MA.C.3.4.2 Vocabulary skew lines, transversal, consecutive angles, alternate angles, corresponding angles Got parallel lines with corresponding angles congruent? with Cabri Jr. Investigating the Slopes of Parallel and Perpendicular lines Investigate Perpendicular Bisector equidistant DW Item #s Note order of sections Geometry Regular Chapter 4 : Congruent Triangles Block Days .5 Section 4-1 Topic Classifying Triangles Benchmarks Extensions 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. .5 4-2 1 4-3 1 1 4-4 Angles of Triangles Geometry Activity: Angles of Triangles Congruent Triangles MA.C.2.4.1 Exploring Congruent Figures using Cabri Jr. Mid-chapter review and quiz Proving Congruence SSS, SAS “ MA.C.1.4.1 Congruent triangles Congruent Triangles SSS Triangle Congruence SAS Triangle Vocabulary acute triangle, obtuse triangle, right triangle, scalene triangle, isosceles triangle, equilateral triangle, equiangular triangle, base angles, vertex angle, included side/angle DW Item #s Congruence 1 4-5 .5 optional 4-6 4-7 .5 1 7 Proving Congruence ASA, AAS Geometry Activity: Congruence in Right Triangle Isosceles Triangles Triangles and Coordinate Proof Chapter Review Test/FCAT(pg.232 – 233) Total Days “ ASA Triangle Congruence Investigating Triangles and Congruence Isosceles Triangle MA.C.3.4.2 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 2 Section 5-1 Topic Bisectors, Medians, and Altitudes Geometry Activity: Bisectors, Medians, and Altitudes Benchmarks Extensions 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 .5 optional 5-2 5-3 Inequalities and Triangles Indirect Proof .5 optional 5-4 5-5 The Triangle Inequality Inequalities Involving Two Triangles Chapter Review Test/FCAT(pg.278 – 279) Total Days .5 1 4.5 Triangle Inequalities MA.C.1.4.1 Investigating the Triangle Inequality Triangle Inequality Vocabulary perpendicular bisector, concurrent lines, point of concurrency, circumcenter, incenter, median, centroid, altitude, orthocenter DW Item #s Geometry Regular Chapter 6 : Proportions and Similarity Block Days 1 1.5 Section 6-1 6-2 Topic Proportions Similar Polygons 1.5 6-3 Similar Triangles 1 6-4 Parallel Lines and Proportional Parts .5 6-5 Parts of Similar Triangles optional 6-6 Fractals and SelfSimilarity Chapter Review Test/FCAT(pg.338 - 339) Total Days .5 1 7 Instructional Days: 40 Flex Days: 5 45 Benchmarks Extensions Similar Figures Similar Triangles and Proportions MA.C.2.4.1 MA.C.3.4.1 “ Vocabulary ratio, proportion scale factor, similar polygons mid-segment DW Item #s Sail Problem (Parallel Lines & Segment Relationships) Proportional Segments Similar Triangles and Proportions Using Cabri Geometry to Create Fractals 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.