Geometry A Activity Points % of Total Discuss 120 6% Exam 220 11% Practice 400 21% Quiz 730 37% Test (CST) 279 14% Test (TST) 200 10% Total Points for the Course : 1949 Unit 1: Foundations of Geometry Lesson 1.1: Entering the World of Geometry Activity 1.1.1: Study - Entering the World of Geometry (Documents: Study Sheet) Learn about and explore examples of geometric reasoning. Duration: 50 min Activity 1.1.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 1.1.3: Quiz - Entering the World of Geometry Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 1.2: Induction: The Search for Rules and Patterns Activity 1.2.1: Study - Induction: The Search for Rules and Patterns (Documents: Study Sheet) Learn about points line segments grouping similarity and difference. Duration: 50 min Activity 1.2.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 1.2.3: Quiz - Induction: The Search for Rules and Patterns Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 20 Points Earned: _____ Lesson 1.3: Deduction: Making a Case Activity 1.3.1: Study - Deduction: Making a Case (Documents: Study Sheet) Learn about looking for patterns making conjectures cross-referencing to history and science real-world examples of inductive reasoning building a triangle and examples of symmetry. Duration: 50 min Activity 1.3.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 1.3.3: Quiz - Deduction: Making a Case Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 20 Points Earned: _____ Lesson 1.4: The Look and Language of Logic Activity 1.4.1: Study - The Look and Language of Logic (Documents: Study Sheet) Learn about the definition of deductive reasoning postulates and conditional statements and using deductive reasoning in proofs. Explore a real-world example of deducing dealing with the combination of a lock. Duration: 50 min Activity 1.4.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 1.4.3: Quiz - The Look and Language of Logic Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 24 Points Earned: _____ Lesson 1.5: Introduction to Proof Activity 1.5.1: Study - Introduction to Proof (Documents: Study Sheet) Learn about postulates and axioms givens proof by contradiction (indirect proof) theorems and corollaries and the axiomatic method. Duration: 50 min Activity 1.5.2: Quiz - Introduction to Proof Take a quiz to assess your understanding of the material. Duration: 25 min Lesson 1.6: Proof in Geometry Activity 1.6.1: Study - Proof in Geometry Scoring: 30 Points Earned: _____ Learn about Euclid's Elements and real-world applications of geometry like navigation golf. Duration: 50 min Activity 1.6.2: Quiz - Proof in Geometry Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 8 Points Earned: _____ Scoring: 100 Points Earned: _____ Lesson 1.7: Wrap-Up Activity 1.7.1: Practice - Assignment (Documents: Practice Assignment) Submit your work for a set of 20 practice problems. Duration: 1 hr Activity 1.7.2: Review - Review Exercise Take part in interactive games to review unit material in preparation for upcoming assessments. Duration: 1 hr Activity 1.7.3: Discuss - Get My Logic? Respond to one of three discussion questions asking you to apply methods learned in this unit. Duration: 20 min Scoring: 30 Points Earned: _____ Activity 1.7.4: Test (CST) - Foundations of Geometry Take a computer-scored test to assess what you have learned in this unit. Duration: 40 min Scoring: 54 Points Earned: _____ Activity 1.7.5: Test (TST) - Foundations of Geometry Take a teacher-scored test to assess what you have learned in this unit. Duration: 30 min Scoring: 50 Points Earned: _____ Lesson 1.8: Diagnostic Activity 1.8.1: Diag - Foundations of Geometry Take a diagnostic unit test that will generate a study plan based on your responses. Duration: 40 min Scoring: 18 Points Earned: _____ (optional) Unit 2: Points Lines and Angles Lesson 2.1: Points Activity 2.1.1: Study - Points (Documents: Study Sheet) Learn about the concept of a point why points have no size and Euclid's definition of a point. Duration: 50 min Activity 2.1.2: Quiz - Points Take a quiz to assess your understanding of the material. Duration: 25 min Lesson 2.2: Segments Scoring: 16 Points Earned: _____ Activity 2.2.1: Study - Segments (Documents: Study Sheet) Learn the notation for a line segment using its endpoints. Explore line segment length and the distance between points on a segment. Investigate midpoints of line segments and the segment addition postulate. Duration: 50 min Activity 2.2.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.2.3: Quiz - Segments Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Lesson 2.3: Rays Lines and Angles Activity 2.3.1: Study - Rays Lines and Angles (Documents: Study Sheet) Learn about the relationship of rays lines and angles to direction; the definition of a line; notation for rays and lines; building and defining an angle (including its vertex and sides); conventions for naming angles; and straight and zero angles. Duration: 50 min Activity 2.3.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.3.3: Quiz - Rays Lines and Angles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 24 Points Earned: _____ Lesson 2.4: More about Angles Activity 2.4.1: Study - More about Angles (Documents: Study Sheet) Learn about measuring angles; units; notation; measuring a segment using a protractor; acute obtuse and right angles; equations for adjacent angles; angle bisectors; linear pairs; and complementary and supplementary angles. Duration: 50 min Activity 2.4.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.4.3: Quiz - Identifying Types of Angles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 22 Points Earned: _____ Activity 2.4.4: Quiz - Angle Bisectors and Adjacent Angles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 2.5: Congruent Segments and Angles Activity 2.5.1: Study - Congruent Segments and Angles (Documents: Study Sheet) Learn about the definitions of congruent line segments and angles; notation; the midpoint theorem; and congruence vs. equality. Duration: 50 min Activity 2.5.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.5.3: Quiz - Congruent Segments and Angles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 2.6: Planes and the Space of Geometry Activity 2.6.1: Study - Planes and the Space of Geometry (Documents: Study Sheet) Learn about dimensionality collinear points two-dimensional objects the geometric plane the flat plane postulate coplanar objects and three-dimensional objects (solids). Duration: 50 min Activity 2.6.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.6.3: Quiz - Planes and the Space of Geometry Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 20 Points Earned: _____ Lesson 2.7: What It Is Like to Live in a Plane Activity 2.7.1: Study - What It is Like to Live in a Plane (Documents: Study Sheet) Take part in a flatland exercise dealing with location and direction in two dimensions. Duration: 50 min Lesson 2.8: Intersecting Lines Activity 2.8.1: Study - Intersecting Lines (Documents: Study Sheet) Learn about intersections that form vertical angles; the vertical angle theorem; perpendicular lines rays and segments; distance and length; and perpendicular bisectors. Duration: 50 min Activity 2.8.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.8.3: Quiz - Intersecting Lines Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 2.9: Parallel Lines Activity 2.9.1: Study - Parallel Lines (Documents: Study Sheet) Learn about skew lines; coplanar lines that do not intersect; parallel line notation; transversals and corresponding angles; alternate interior angles; consecutive interior angles; and parallel line theorems. Duration: 50 min Activity 2.9.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 2.9.3: Quiz - Parallel Lines Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Lesson 2.10: Solving the Mirror Problem Activity 2.10.1: Study - Solving the Mirror Problem (Documents: Study Sheet) Learn about applying theorems from this unit to the problem of measuring light reflected off a mirror. Learn about the law of reflection. Duration: 50 min Lesson 2.11: Wrap-Up Activity 2.11.1: Practice - Assignment (Documents: Practice Assignment) Submit your work for a set of 20 practice problems. Duration: 1 hr Scoring: 100 Points Earned: _____ Activity 2.11.2: Review - Review Exercise Take part in interactive games to review unit material in preparation for upcoming assessments. Duration: 1 hr Activity 2.11.3: Discuss - What if You Lived in Flatland? Respond to one of three discussion questions asking you to apply methods learned in this unit. Duration: 20 min Scoring: 30 Points Earned: _____ Activity 2.11.4: Test (CST) - Points Lines and Angles Take a computer-scored test to assess what you have learned in this unit. Duration: 40 min Scoring: 75 Points Earned: _____ Activity 2.11.5: Test (TST) - Points Lines and Angles Take a teacher-scored test to assess what you have learned in this unit. Duration: 30 min Scoring: 50 Points Earned: _____ Lesson 2.12: Diagnostic Activity 2.12.1: Diag - Points Lines and Angles Take a diagnostic unit test that will generate a study plan based on your responses. Duration: 40 min Scoring: 25 Points Earned: _____ (optional) Unit 3: Triangles Lesson 3.1: What Is a Triangle? Activity 3.1.1: Study - What Is a Triangle? (Documents: Study Sheet) Learn about the definition and parts of a triangle; opposite and included figures; naming and sorting triangles; equilateral isosceles and scalene triangles; and the triangle inequality theorem. Duration: 50 min Activity 3.1.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.1.3: Quiz - Naming Triangles by Angle Measures Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Activity 3.1.4: Quiz - Naming Triangles by Side Lengths Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Activity 3.1.5: Quiz - The Triangle Inequality Theorem Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 22 Points Earned: _____ Lesson 3.2: The Angles of a Triangle Activity 3.2.1: Study - The Angles of a Triangle Explore the angle sum theorem and third angle theorem for triangles. Learn the meaning behind the statement “QED.â€? Investigate the relationship between a given triangle’s vertex and its exterior and remote interior angles. Duration: 50 min Activity 3.2.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.2.3: Quiz - Angle Theorems Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 20 Points Earned: _____ Activity 3.2.4: Quiz - Exterior and Remote Interior Angles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 3.3: Congruence Activity 3.3.1: Study - Congruence (Documents: Study Sheet) Learn about congruence transformations of triangles corresponding triangles notation for writing congruence statements and the CPCTC triangle congruence theorem. Duration: 50 min Activity 3.3.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.3.3: Quiz - Congruent Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Activity 3.3.4: Quiz - Properties of Congruence Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Lesson 3.4: Congruence Postulates Activity 3.4.1: Study - Congruence Postulates (Documents: Study Sheet) Learn about postulates including the SSS SAS ASA and AAS theorems. Duration: 50 min Activity 3.4.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.4.3: Quiz - Using Congruence Postulates Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 20 Activity 3.4.4: Quiz - The AAS Theorem Take a quiz to assess your understanding of the material. Points Earned: _____ Duration: 25 min Scoring: 20 Points Earned: _____ Lesson 3.5: Proofs of Congruence Activity 3.5.1: Study - Proofs of Congruence Learn about proving that parts of triangles are congruent using Thalesâ??s method for measuring the distance from ship to shore. Duration: 50 min Activity 3.5.2: Quiz - Proofs of Congruence Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 3.6: Similar Triangles Activity 3.6.1: Study - Similar Triangles (Documents: Study Sheet) Learn about similarity vs. congruence testing for similarity among triangles proportionality the definition of similar triangles and the scale factor. Duration: 50 min Activity 3.6.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.6.3: Quiz - Similar Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 28 Points Earned: _____ Lesson 3.7: Ratios and Proportions Activity 3.7.1: Study - Ratios and Proportions (Documents: Study Sheet) Learn about ratios proportions means and extremes. Learn about applying the cross product property application to the student-teacher ratio problem and the photo-enlargement problem. Duration: 50 min Activity 3.7.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.7.3: Quiz - Ratios and Proportions Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Lesson 3.8: Similarity Theorems Activity 3.8.1: Study - Similarity Theorems (Documents: Study Sheet) Points Earned: _____ Learn about the ASA similarity postulate SSS similarity theorem and SAS similarity theorem. Duration: 50 min Activity 3.8.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.8.3: Quiz - Similarity Theorems Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 22 Points Earned: _____ Lesson 3.9: Triangle Theorems Activity 3.9.1: Study - Triangle Theorems (Documents: Study Sheet) Learn and prove the isosceles triangle theorem and its converse. Investigate two corollaries involving angle measures for equilateral triangles. Explore theorems for scalene triangles. Apply what is learned to solve Thales's problem. Duration: 50 min Activity 3.9.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 3.9.3: Quiz - Isosceles and Equilateral Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Activity 3.9.4: Quiz - Scalene Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 3.10: Medians Altitudes and Bisectors Activity 3.10.1: Study - Medians Altitudes and Bisectors (Documents: Study Sheet) Identify and explore medians altitudes angle bisectors and perpendicular bisectors of triangles. Discover their relationship to centroids orthocenters incenters and circumcenters. Duration: 50 min Activity 3.10.2: Quiz - Medians Altitudes and Bisectors Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 24 Points Earned: _____ Lesson 3.11: The Parallax Problem Activity 3.11.1: Study - The Parallax Problem (Documents: Study Sheet) Learn to apply the concepts of congruence similarity ratio and proportion to the solution of a real-world parallax problem. Duration: 50 min Lesson 3.12: Wrap-Up Activity 3.12.1: Practice - Assignment (Documents: Practice Assignment) Submit your work for a set of 20 practice problems. Duration: 1 hr Scoring: 100 Points Earned: _____ Activity 3.12.2: Review - Review Exercises Take part in interactive games to review unit material in preparation for upcoming assessments. Duration: 1 hr Activity 3.12.3: Discuss - The Well-Balanced Triangle Respond to one of three discussion questions asking you to apply methods learned in this unit. Duration: 20 min Scoring: 30 Points Earned: _____ Activity 3.12.4: Test (CST) - Triangles Take a computer-scored test to assess what you have learned in this unit. Duration: 40 min Scoring: 75 Points Earned: _____ Activity 3.12.5: Test (TST) - Triangles Take a teacher-scored test to assess what you have learned in this unit. Duration: 30 min Scoring: 50 Points Earned: _____ Lesson 3.13: Diagnostic Activity 3.13.1: Diag - Triangles Take a diagnostic unit test that will generate a study plan based on your responses. Duration: 40 min Scoring: 25 Points Earned: _____ (optional) Unit 4: Right Triangles Lesson 4.1: Area of a Triangle Activity 4.1.1: Study - Area of a Triangle (Documents: Study Sheet) Learn about the area of a polygon square units and the triangle area formula and theorem. Duration: 50 min Activity 4.1.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.1.3: Quiz - Area of a Triangle Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Lesson 4.2: The Pythagorean Theorem Activity 4.2.1: Study - The Pythagorean Theorem (Documents: Study Sheet) Learn about how the Pythagorean theorem applies only to right triangles and discover one proof of it. Learn about the converse of the Pythagorean theorem Pythagorean triples and applying the theorem to the problem of fitting a baseball bat into a rectangular trunk. Duration: 50 min Activity 4.2.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.2.3: Quiz - The Pythagorean Theorem Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 4.3: Congruent Right Triangles Activity 4.3.1: Study - Congruent Right Triangles (Documents: Study Sheet) Learn about the HL LL HA LA and perpendicular bisector theorems. Learn about the angle bisector theorem and its converse. Duration: 50 min Activity 4.3.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.3.3: Quiz - Proving Right Triangle Congruence Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 26 Points Earned: _____ Activity 4.3.4: Quiz - Right Triangle Measurements Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 18 Points Earned: _____ Lesson 4.4: Similar Right Triangles Activity 4.4.1: Study - Similar Right Triangles (Documents: Study Sheet) Explore the properties of similar right triangles and prove that if an altitude is drawn from the right-angle vertex of a right triangle to its hypotenuse then three similar triangles are formed. Calculate the missing sides of similar right triangles using proportions and apply concepts learned to a miniature-golf problem. Duration: 50 min Activity 4.4.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.4.3: Quiz - Similar Right Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Lesson 4.5: Special Right Triangles Activity 4.5.1: Study - Special Right Triangles (Documents: Study Sheet) Explore 45-45-90 and 30-60-90 triangles as special cases of right triangles and learn how to apply the ratios of their side lengths. Duration: 50 min Activity 4.5.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.5.3: Quiz - 45-45-90 Right Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Activity 4.5.4: Quiz - 30-60-90 Right Triangles Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 12 Points Earned: _____ Lesson 4.6: Trigonometric Ratios Activity 4.6.1: Study - Trigonometric Ratios Learn the definitions of sine cosine and tangent. Memorize â??soh-cah-toaâ?? as a mnemonic device relating to these ratios. Explore the use of trigonometric ratios in the solution of a real-world problem involving the construction of a cable car. Duration: 50 min Activity 4.6.2: Checkup - Practice Problems (Documents: Checkup) Complete a set of practice problems to hone your calculation skills. Duration: 30 min Activity 4.6.3: Quiz - Trigonometric Ratios Take a quiz to assess your understanding of the material. Duration: 25 min Scoring: 16 Points Earned: _____ Scoring: 100 Points Earned: _____ Lesson 4.7: Wrap-Up Activity 4.7.1: Practice - Assignment (Documents: Practice Assignment) Submit your work for a set of 20 practice problems. Duration: 1 hr Activity 4.7.2: Review - Review Exercise Take part in interactive games to review unit material in preparation for upcoming assessments. Duration: 1 hr Activity 4.7.3: Discuss - A Closer Look at a Baseball Diamond Students respond to one of three discussion questions asking them to apply methods learned in this unit. Duration: 20 min Scoring: 30 Points Earned: _____ Activity 4.7.4: Test (CST) - Right Triangles Take a computer-scored test to assess what you have learned in this unit. Duration: 40 min Scoring: 75 Points Earned: _____ Activity 4.7.5: Test (TST) - Right Triangles Take a teacher-scored test to assess what you have learned in this unit. Duration: 30 min Scoring: 50 Points Earned: _____ Lesson 4.8: Diagnostic Activity 4.8.1: Diag - Right Triangles Take a diagnostic unit test that will generate a study plan based on your responses. Duration: 40 min Scoring: 25 Points Earned: _____ (optional) Unit 5: Geometry Semester 1 Review and Exam Lesson 5.1: Preparing for the Semester Exam Activity 5.1.1: Review - Semester Review (Documents: Study Sheet) Prepare for the semester exam by reviewing key concepts covered in Geometry Semester 1. Duration: 1 hr Activity 5.1.2: Exam - Semester Exam Duration: 50 min Scoring: 220 Points Earned: _____ Appendix B: Additional Activities B.1: Extra Credit Scoring: 15 Points Earned: _____