4/12/2020 MATHEMATICS COURSE CONTENT GEOMETRY TEXTBOOK: HOLT GEOMETRY Course Description: Geometry provides students with knowledge about shapes and properties and assists with the development of spatial sense, critical for further study in mathematics and for everyday life. Because of its importance in the development of mathematical empowerment, this course is required for all students. To better meet the needs of students of varying abilities, school systems may offer the course as Geometry A and B. The geometry curriculum will include practice in expository writing. 1 4/12/2020 COURSE CONTENT SUBJECT: GEOMETRY CS AHSGE Days 2 VII-1 2, 12 IV-1, VI-1 VII-1, 8 ½ ½ I. EXPLORING GEOMETRY A. The Building Blocks of Geometry B. Measuring Length 2 2, 12 5 13 12, 13 VII-1 IV-2, VII-1 VII-4 ½ ½ ½ 1½ 1 2 C. Measuring Angles D. Geometry Using Paper Folding E. Special Points in Triangles F. Motion in Geometry G. Motion in the Coordinate Plane Expository Writing/Review/Test 9 9 2 2, 5 2, 9, 9a 17a IV-2 VII-1 VII-1, 4 1 1 1 1 1 2 2, 13 2, 3, 5 2, 9 2, 9 4, 4a, 5 9 4, 4a 5, 9 VII-4 VII-1 VII-1 VII-4 1 1 1 1 1 VII-4 1 Content Standards II. REASONING IN GEOMETRY A. An Introduction to Proofs B. An Introduction to Logic C. Definitions D. Building a System of Geometry Knowledge E. Conjectures that Lead to Theorems Section Chapter 1 1-1 1-2 1-3 1-4 1-5 1-6 1-7 Chapter 2 2-1 2-2 2-3 2-4 2-5 Expository Writing/Review/Testing III. PARALLELS AND POLYGONS A. Symmetry in Polygons B. Properties of Quadrilaterals C. Parallel Lines and Transversals D. Proving that Lines are Parallel E. The Triangle Sum Theorem F. Angles in Polygons Chapter 3 3-1 3-2 3-3 3-4 3-5 3-6 2 Dates Taught Date Tested 4/12/2020 CS AHSGE Days 5, 9, 12 1, 5, 12 VII-4 II-3, IV-2 V-2, VI-1 VII-4 1 1 G. Midsegments of Triangles and Trapezoids H. Analyzing Polygons Using Coordinates 2 Expository Writing/Review/Test VII-4 VII-4 1 1 IV. TRIANGLE CONGRUENCE A. Congruent Polygons B. Triangle Congruence VII-4 1 C. Analyzing Triangle Congruence 4-3 II-1, VII-4 1 D. Using Triangle Congruence 4-4 II-1, 3 VII-4 VII-4 1 E. Proving Quadrilateral Properties 4-5 1 1 2 F. Conditions for Special Quadrilaterals G. Constructing Transformations Expository Writing/Review/Test 4-6 4-8 IV-1, VII-4 IV-1, VII-4 1 1 VII- 4 VII-2, 4 III-2, IV-1 VII-4 IV-2, VII-2 IV-2 VII-6 1 1 1 C. Circumference and Areas of Circles D. The Pythagorean Theorem E. Special Triangles and Areas of Regular Polygons 5-3 5-4 5-5 1 1 1 2 F. The Distance Formula and the Method of Quadrature G. Proofs Using Coordinate Geometry H. Geometric Probability Expository Writing/Review/Test 5-6 5-7 5-8 5, 9 3a, 5 8, 9 3a, 5 8, 9 3a, 4 5, 8, 9 5, 9 5, 9 9, 13 5, 11 5, 9, 11 12 5 5, 6, 9 5, 6, 7 7a, 11 6, 9, 12 9, 12 17b Content Standards Section 3-7 3-8 Chapter 4 4-1 4-2 V. PERIMETER AND AREA A. Perimeter and Area B. Area of Triangles, Parallelograms, and Trapezoids 3 Chapter 5 5-1 5-2 Dates Taught Date Tested 4/12/2020 CS AHSGE ½ ½ ½ 1½ 14 9, 14 16, 16b 16c, 17 16, 16b 9, 16 16a, b 16, 16b 16, 16a 16b 9, 16 16a, b 12, 13 3a, 5,13 5, 8 2, 3a 5, 8, 9 2, 3a 8, 8a, 9 16, 16c 17 Days 1 Content Standards Section VI. SHAPES IN SPACE A. Spatial Relationships B. Prisms C. Coordinates in Three Dimensions Expository Writing/Review/Test Chapter 6 6-2 6-3 6-4 VII. SURFACE AREA AND VOLUME A. Surface Area and Volume Chapter 7 7-1 1 1 B. Surface Area and Volume of Prisms C. Surface Area and Volume of Pyramids 7-2 7-3 1 1 D. Surface Area and Volume of Cylinders E. Surface Area and Volume of Cones 7-4 7-5 1 F. Surface Area and Volume of Spheres 7-6 2 Expository Writing/Review/Test VIII. SIMILAR SHAPES A. Dilations and Scale Factors B. Similar Polygons C. Triangle Similarity D. The Side-Splitting Theorem Chapter 8 8-1 8-2 8-3 8-4 IV-2 VII-3, 4 VII-4 VII-1, 4 1 1 1 1 VII-1 1 IV-1 1 E. Indirect Measurement and Additional Similarity Theorems F. Area and Volume Ratios 2 Expository Writing/Review/Test 4 8-5 8-6 Dates Taught Date Tested 4/12/2020 CS AHSGE Days 5, 9, 15 5, 6, 9 9 9 9 5a, 9 VII-4 VII-2, 4 1 1 1 1 1 1 2 15 10 9, 10 9, 10 9, 10 13 1 1 1 1 1 2 Content Standards Section IX. CIRCLES A. Chords and Arcs B. Tangents to Circles C. Inscribed Angles and Arcs D. Angles Formed by Secants and Tangents E. Segments of Tangents, Secants, and Chords F. Circles in the Coordinate Plane Expository Writing/Review/Test Need area of sector formula resources Chapter 9 9-1 9-2 9-3 9-4 9-5 9-6 X. TRIGONOMETRY Chapter 10 10-1 10-2 10-4 10-5 10-7 A. Tangent Ratios B. Sines and Cosines C. The Law of Sines D. The Law of Cosines E. Rotations in the Coordinate Plane Expository Writing/Review/Test XI. TAXICABS, FRACTALS, AND MORE / CLOSER LOOK AT PROOF AND LOGIC 14a ½ ½ ½ ½ 1 A. Golden Connections B. Euclid Unparalleled C. Other Transformations: Projective Geometry D. A Closer Look at If-Then Statements Expository Writing/Review/Test Several text lessons have not been listed in this curriculum guide because they do not cover objectives of the Course of Study. These lessons may be added as enrichment. Also, objectives 8a and 18 of the Course of Study are not covered in the text and will require use of supplementary materials. 5 11-1 11-5 11-7 12-3 Dates Taught Date Tested 4/12/2020 6