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Suggested Exercises: One learns math primarily by trying to solve problems. The centerpiece of this course is the list of Exercises found in the table below. The goal of the course is for you to be able to solve the exercises in this table. These exercises are not to be turned in and are not graded, but you should do as many of them as possible and keep your solutions in a notebook for study. The quizzes and exams will be made up of problems similar to suggested exercises.
On all problems: Find an exact answer in symbols first, then find a decimal approximation if one is called for. That is, "EAFTDA".
| Textbook Section | Suggested Exercises |
|---|---|
| 1.1 Problem Solving Strategies | 3, 5, 7, 11, 17, 19, 23, 25, 33, 39 |
| 1.2 More Problem Solving Strategies | 5, 7, 9, 15, 19, 21, 23, 27, 29, 33, 35, 37, 39, 41 |
| 2.1 Undefined Terms, Definitions, Postulates | 7, 11, 15, 17, 19, 21, 22, 39, 42 |
| 2.2 Polygons and Circles | 3, 5, 7, 11, 15, 19, 21, 27, 29, 31, 33, 35 |
| 2.3 Angle Measure in Polygons and Tessalations | 1, 3, 9, 13, 15, 19, 21, 23, 25, 33 |
| 2.4 Three-Dimensional Shapes | 1, 3, 5, 9, 11, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35, 37 |
| 2.5 Dimensional Analysis | 5, 7, 9, 11, 13, 17, 19, 23, 25, 27 |
| 3.1 Perimeter, Circumference, Area of Basic Shapes | 5, 7, 11, 13, 17, 19, 20, 27, 28, 31, 33, 35, 37, 38, 51 |
| 3.2 More Area Formulas | 1, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 36, 39, 43 |
| 3.3 Pythagorean Theorem & Right Triangles | 2, 4, 9, 12, 13, 14, 22, 23, 24, 25, 30, 35, 48, 49 |
| 3.4 Surface Area | 3, 8, 12, 15, 16, 17, 20, 21, 22, 23, 24, 27, 28, 29 (EAFTDA) |
| 3.5 Volume | 3, 7, 13, 17, 22, 23, 28, 41, 43, 44, 45, 46 (EAFTDA) |
| 4.1 Reasoning and Proof in Geometry | 17, 18, 19, 20, 22, 25, 26, 27, 8, 29, 30, 31, 32, 37, 38, 39, 40, 41, 42, 45 |
| 4.2 Triangle Congruence Conditions | 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 35, 37, 40, 42 |
| 4.3 Problem Solving Using Triangle Congruence | 3, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20 |
| 5.1 Indirect Reasoning and the Parallel Postulate | 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 29, 31, 33, 35, 37 |
| 5.2 Important Theorems Based on the Parallel Postulate | 2, 4, 8, 10, 12, 14, 16, 18, 20, 21, 22, 25, 26, 29, 31 |
| 5.3 Parallelograms and Rhombuses | 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 38, 39, 41, 43 |
| 5.4 Rectangles, Squares, and Trapezoids | 1, 3, 7, 8, 11, 12, 25, 26, 28, 30, 31, 32, 33, 36, 41, 44, 45 |
| 6.1 Ratio and Proportion | 12, 14, 20, 22, 24, 26, 30, 32, 34, 36, 40, 44 |
| 6.2 Similar Triangles | 1, 2, 3, 5, 7, 9, 10, 11, 12, 13, 17, 18, 19, 21, 22, 23, 24, 26, 37 |
| 6.3 Applications of Similarity | 1, 3, 5, 7, 9, 11, 13, 18, 20, 24, 25, 27, 31, 33, 34, 35, 39 |
| 6.4 Using Right Angle Trig to Solve Geom Problems | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 33, 35, 37, 43, 44, 45, 61, 63, 66 |
| 6.5 Using Trigonometry to Solve Geometry Problems | 1, 3, 7, 9, 11, 13, 17, 19, 23, 25, 27, 29, 33, 34, 35, 36, 37, 43, 45, 47 |
| 7.1 Central Angles and Inscribed Angles | 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 47, 48, 48, 51, 52 |
| 7.2 Chords of a Circle | 1, 3, 5, 7, 11, 13, 15, 19, 21, 23, 24, 25, 27, 28, 32, 33, 34, 36, 37, 38, 43, 46 |
| 7.3 Secants and Tangents | 1, 3, 5, 11, 14, 15, 17, 19, 21, 23, 25, 26, 27, 29, 31, 32, 33, 34, 35, 38, 39 |
| 8.1 Coordinates and Distance in the Plane | 5, 6, 7, 9, 13, 17, 19, 20, 21, 23, 27 |
| 8.2 Slope | 11, 13, 17, 23, 27, 28, 29, 35 |
| 8.3 Equations of Lines and Circles | 1, 3, 5, 9, 11, 13, 15, 17, 23, 25, 27, 29, 31, 37, 39, 41, 43, 45 |
| 9.1 Isometries and Congruence | 3, 5, 11, 12, 13, 15, 25, 26, 35, 36, 39, 40, 41, 43, 45, 47, 48 |
| 9.3 Problem Solving Using Transformations | 1, 3, 4, 5, 7, 8, 25 |