VIEWS: 19 PAGES: 23 POSTED ON: 10/1/2012 Public Domain
Name: ____________________ Geometry – 1st Semester Instructions: 1. ALL WORK IS TO BE DONE AT SCHOOL. 2. Bring your packet to class every day. 3. Take the Pre-Test; blue E’s mean exempt. 4. Read tutorial, take notes, do the practice/application (80% or higher). 5. Answer asked questions even if the lesson is exempted. 6. ALL mastery tests MUST be mastered. 7. Take mastery test up to 3 times to earn 80%; 4 times or more earns 50%. 8. Answer all questions for the OFF-LINES. 9. COPY ALL MASTERY, POST TEST AND EXAM GRADES ONTO PACKET. 10. Get packet signed BEFORE taking a Post Test or exam. Unit One 1. Pre-Test 2. OFFLINE: Problem Solving, Patterns, and Solutions 3. OFFLINE: Geometric Systems – Read article. (other resources) 1. What group of people is credited with the systemization of geometry? Syrians Egyptians Romans Greeks 2. What does the Pythagorean Theorem involve? pentagons polygons triangles rectangles 3. Rene Descartes is credited with _____. creating a system for representing points on a coordinate plane discovering how to find the interior measurements of polygons proving that the square of the length of the longest side of a triangle is equal to the sum of the squares of the other 2 sides 4. Postulates and Theorems _____ Tutorial 1. What does a geometric proof prove? 2. What 4 things are used to support a proof? 3. Define: postulate theorem definition proof 4. Define: direct proof indirect proof _____ Application _____ Mastery Test 5. Lines in a Plane _____ Tutorial _____ Application _____ Mastery Test _____ offline: Lines in a Plane - skip 6. Points, Lines, and Planes _____ Tutorial 1. List 3 characteristics of a line. 1. A ray has __________ endpoint(s). _____ Application _____ Mastery Test 1 _____ Mastery Test 2 7. Intersecting Lines and Planes _____ Tutorial 1. Perpendicular lines form __________ angles. _____ Application _____ Mastery Test 8. OFFLINE: Geometric Conjectures 1. What is a conjecture? (Activity 1) 2. If a conditional statement is true, then its contrapositive _____. (Activity 12) is true is false is both true and false 3. What is the converse of a statement? (Activity 12) 4. What is an indirect proof? (other resources) 9. Special Angles, Part 1 _____ Tutorial 1. Two rays starting at the same point create a __________. 2. Complementary angles equal _______ degrees. 3. Supplementary angles equal _______ degrees. _____ Application _____ Mastery Test 1 _____ Mastery Test 2 10. Congruent Angles _____ Tutorial 1. Define congruent. _____ Application _____ Mastery Test 11. Two of a Kind _____ Tutorial 1. Define vertical angles and draw an example. _____ Application _____ Mastery Test 12. Supplementary and Complementary Angles _____ Tutorial 1. Complementary angles add up to ________ degrees. 2. Supplementary angles add up to __________ degrees. _____ Application _____ Mastery Test 13. OFFLINE: Constructing Congruent Segments 1. Define congruent line segments. (Activity 1) 2. What tools are used to construct congruent line segments? (Read the objective) STOP! – You must tell me before you start this test. 14. Post Test – Unit 1 (20 questions) Unit Two 1. Pre-Test 2. Special Angles, Part 2 _____ Tutorial 1. There are __________ degrees in a triangle. _____ Application _____ Mastery Test 1 _____ Mastery Test 2 3. Angles in Pairs _____ Tutorial 1. Draw 2 parallel lines cut by a transversal. Label the congruent pairs. _____ Application _____ Mastery Test 4. Transitive Properties of Lines _____ Tutorial _____ Application _____ Mastery Test 5. OFFLINE: Writing Geometric Proofs 6. OFFLINE: Properties of Parallel Lines Cut by a Transversal (other resources) 1. What are vertical angles? 2. What are alternate exterior angles? 3. To prove that 2 lines cut be a transversal are parallel, one must show that _____. alternate interior angles are congruent alternate exterior angles are congruent corresponding angles are congruent all of the above 7. Proportionality _____ Tutorial 1. Draw and label a figure to set up a proportionality. _____ Application _____ Mastery Test 8. OFFLINE: Angle Bisectors, Parallel Lines and Perpendicular Lines 1. What is the measure of the angle formed by 2 intersecting perpendicular lines? (Activity 5) 2. What does an angle bisector divide an angle into? (Activity 1) 9. The Sum of the Angles in a Triangle _____ Tutorial 1. There are _______ degrees in a triangle. _____ Application _____ Mastery Test 10. Introduction to Triangles _____ Tutorial 1. Define an isosceles triangle. _____ Application _____ Mastery Test _____ offline: Introduction to Triangles – skip 11. Not Everything is Created Equal _____ Tutorial 1. Define: > < 2. What is the symbol for not equal to? _____ Application _____ Mastery Test 12. Exploring Congruent Figures _____ Tutorial _____ Application _____ Mastery Test _____ offline: Exploring Congruent Figures – skip 13. Congruent Triangles, Part 1 _____ Tutorial 1. Define: equiangular equilateral 2. Describe these triangles: acute obtuse right isosceles scalene _____ Application _____ Mastery Test 1 _____ Mastery Test 2 14. Congruent Triangles, Part 2 _____ Tutorial _____ Application _____ Mastery Test 15. Congruent Triangles Problems _____ Tutorial _____ Application _____ Mastery Test 16. offline: Constructing Congruent Triangles - skip STOP! – You must tell me before you start this test. 17. Post Test – Unit 2 (20 questions) Unit Three 1. Pre-Test 2. Introduction to Polygons _____ Tutorial 1. Define polygon. 2. Identify a polygon with: 3 sides – 4 sides – 5 sides – 6 sides – 7 sides - 8 sides – 9 sides – 10 sides – 3. Draw and example of a concave and a convex polygon. _____ Application _____ Mastery Test 3. Summing Up Angles _____ Tutorial 1. What is the formula for finding the sum of the measure of interior angles? 2. What is the formula for finding the measure of one interior angle? 3. The sum of the exterior angles of a polygon always equals __________ degrees. 4. What is the formula for finding the measure of one exterior angle? _____ Application _____ Mastery Test 4. Angles in Regular Polygons _____ Tutorial _____ Application _____ Mastery Test 5. Introduction to Quadrilaterals _____ Tutorial _____ Application _____ Mastery Test _____ offline: Introduction to Quadrilaterals - skip 6. Parallelograms, Part 1 _____ Tutorial 1. Define congruent. 2. Define supplementary _____ Application _____ Mastery Test 7. Parallelograms, Part 2 _____ Tutorial 1. What do the following letters stand for: AAS ASA SAS SSS _____ Application _____ Mastery Test 8. Rhombuses and Trapezoids _____ Tutorial 1. What is the equation for 30-6-900 triangles? 2. What is the formula for finding the mid- segment of a trapezoid? _____ Application _____ Mastery Test 9. OFFLINE: Calculating Perimeter of Geometric Figures 1. How do you calculate the perimeter of a rectangle? 10. Area: Counting Square Units _____ Tutorial _____ Application _____ Mastery Test _____ offline: Area: Counting Square Units – skip 11. Calculating the Area of Rectangles and Squares _____ Tutorial 1. What is the formula for finding the area of a rectangle or square? _____ Application _____ Mastery Test _____ offline: Calculating Area of Rectangles/Squares - skip 12. Area, Part 1 _____ Tutorial 1. What is the formula for finding the area of a parallelogram? _____ Application _____ Mastery Test 1 _____ Mastery, Part 2 **** Do #16 first and then do #13. 13. Area of Right Triangles and Parallelograms _____ Tutorial 1. What is the formula for finding the area of a triangle? 2. What is the formula for finding the area of a rhombus (like a kite)? 3. What is the formula for finding the area of a trapezoid? _____ Application _____ Mastery Test 14. Area of Any Triangle _____ Tutorial 1. What is the formula for finding the area of an equilateral triangle? Question - The area of this triangle is ____ square meters – AB = 15 m. Round your answer to the nearest tenth. _____ Application _____ Mastery Test 15. Area, Part 2 _____ Tutorial Use 22/7 for π and round to the nearest tenth. _____ Application _____ Mastery Test 1 HINT: area of trapezoid _____ Mastery Test 2 HINT: area of circles _____ Mastery Test 3 HINT: area of triangles 16. Area of Trapezoids and Rhombuses _____ Tutorial 1. What is the formula for finding the area of a trapezoid? 2. What is the formula for finding the area of a rhombus? _____ Application _____ Mastery Test 17. OFFLINE: Angles in Polygons (other resources) 1. How do you calculate the measure of one interior angle? 2. How do you calculate the measure of an exterior angle? 18. Solving Measurement Story Problems _____ Tutorial _____ Application _____ Mastery Test _____ offline: Solving Measurement Story Problems – skip 19. OFFLINE: Length and Area in Congruent and Similar Triangles 1. How do you set up a proportion to find the missing length of similar triangles? (Copy the example at the top of page 6.) STOP! – You must tell me before you start this test. 20. Post Test – Unit 3 (20 questions) Unit Four 1. Pre-Test 2. OFFLINE: Three-Dimensional Cross Sections 1. Define: (Activity 1) one-point perspective two-point perspective three-point perspective 2. Define: (Activity 3) cross-section 3. Introduction to Solid Figures _____ Tutorial 1. Draw a cube and label: edge face vertex 2. Draw a cone and label: apex _____ Application _____ Mastery Test _____ offline: Introduction to Solid Figures – skip 4. Prisms _____ Tutorial 1. Define: prism lateral face 2. Draw an oblique prism. _____ Application _____ Mastery Test 5. Calculating the Volume of a Rectangular Prism _____ Tutorial 1. What is the formula for finding the volume of a rectangular prism? _____ Application _____ Mastery Test _____ offline: Calculating Volume of Rectangular Prism – skip 6. Area and Volume of Cylinders _____ Tutorial 1. Draw a cylinder and label: base height lateral surface altitude 2. What is the formula for finding the lateral surface area of a cylinder? 3. What is the formula for finding the volume of a cylinder? 4. What is the formula for finding the circumference of a circle? _____ Application _____ Mastery Test 7. Area and Volume of Cones _____ Tutorial 1. What is the formula for finding the lateral surface area of a cone? 2. What is the formula for finding the total area of a cone? 3. What is the formula for finding the volume of a cone? 4. Draw and label the parts of a cone: vertex slant height altitude base perimeter Question #3 – Round answer to nearest hundredth. _____ Application _____ Mastery Test 8. Using Measurement _____ Tutorial _____ Application _____ Mastery Test 1 _____ Mastery Test 2 9. OFFLINE: Perimeter and Volume 1. What is the effect of the perimeter, area, or volume when the dimensions are changed in the second figure? (Read the offline to see how to set this up.) 10. OFFLINE: Surface Area and Volume of a Sphere 1. What is the formula for finding the volume of a sphere? (Activity 2) 2. What is the formula for finding the surface area of a sphere? (Activity 1) 3. Define chord. (Part 2, Activity 3) 11. OFFLINE: Polyhedron 1. Define polyhedron. (Activity 1) 2. How many platonic solids are there? (Activity 1) 3. Describe the face of a dodecahedron. (Activity 1) 4. How many edges does: (Activity 1) an octahedron have? a tetrahedron have? STOP! – You must tell me before you start this test. 12. Post Test – Unit 4 (20 questions) STOP! – You must tell me before you start this test. Semester Exam (40 questions)