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COURSE SYLLABUS Program Geometry IMT Teacher Contact Information 606-862-5580 Jackie Robinson Extension - 6523 Prerequisites Algebra 1 High School Credit(s) 1 Course Numbers Course Description This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry. Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed. It also emphasizes writing proofs to solve (prove) properties of geometric figures. Materials Used (textbooks, software, etc.) Students will be utilizing the following texts: Holt McDougal Geometry Students will also need access to the Internet in order to utilize my Webpage, Blogs, and in order to receive make-up work. Grading - Test 70% - Class Assignments 30% Assessments Students are given quizzes as at various times throughout each unit. There are comprehensive exams at each midterm and end of term date. Procedures for Makeup Work/Tests Makeup work/test will follow the procedures set forth in the Code of Conduct. Students are responsible for confirming day and time to make up exams/quizzes. Attendance Policy See District and School Policies Supplies (to be supplied by the student) None Class Expectations (class rules) Students must adhere to the following rules in class each day or be subject to the school’s discipline plan. - Follow directions the first time they are given. Follow all school rules. Bring all materials needed to learn to class. Respect others and display common courtesy. Do not interfere with another student’s right to learn. Ask for permission to get on the floor. Raise hand and ask for permission to speak Due Dates: I reserve the right to change due dates and add or eliminate items from the curriculum should I feel it necessary. Students will be given a minimum of three days notice in order for them to accommodate the new due dates and/ or items. Cell Phone and Student Technology Policy: Cell phones and all student technology are only permitted for instructional use. If students use cell phones or student computers for personal or entertainment purposes, disciplinary action will be taken. Students are expected to abide by policies set by the district, as well as CFI. Additionally, students will be assigned computers within the classroom and will be responsible for any damages of the property of CFI. The instructor will monitor student technology during and between classes. If students notice any damage upon entering the classroom they are encouraged to report it to the instructor before they begin using their assigned technology. Food and Drink Policy: Food and drinks are not permissible within the classroom. The instructor will be considerate of medical concerns. Consequences: The following actions will be taken should a student fail to adhere to the rules in place. 1. Warning 2. Warning and parent contact 3. Referral and parent contact Course Outline/Tentative Schedule/Major Assignments Geometry Lesson Plans Chapter 1/5/10 Title: Foundations of Geometry DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can understand and identify Points lines and planes. I can measure and construct segments. COMMON CORE STANDARDS SUGGESTED HOMEWORK CC.9-12 G.CO.1 Geo. 1.1 CC.9-12 G.CO.12 Geo. 1.2 CC.9-12 G.CO.1 G.CO.12 Geo. 1.3 CC.9-12 G.CO.1 Geo. 1.4 CC.9-12 G.GPE.7 Geo. 1.6 CC.9-12 G.SRT.8 G.SRT.4 Geo. 5.7 CC.9-12 A.SSE.1 A.CED.4 G.GMD.1 Geo. 1.5 Geo. 10.1 Geo. 10.2 CC.9-12 G.MG.3 G.SRT.9 Geo. 10.3 CC.9-12 G.GPE.7 Geo. 10.4 I can measure and construct angles. I can identify and find measures of pairs of angles. I can find midpoint and distance in the coordinate plane. I can use the Pythagorean Theorem to find distance or length in right triangles. I can find the area and perimeter of basic geometric figures. (Circles, Triangles, Rectangles, and Trapezoids) I can find the area and perimeter of composite figures. I can find area and perimeter of figures in the coordinate plane. HIGHER LEVEL QUESTIONS NOTES/ ACTIVITIES Geometry Lesson Plans Chapter 2 Title: Proofs DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can identify the hypothesis and conclusion of a conditional statement. I can write the converse, inverse, and contrapositive of a conditional statement. I can determine the truth value of a conditional statement. I can identify algebraic and geometric properties and apply them to conditional statements. I can complete simple algebraic proofs. I can complete geometric proofs involving segment addition, angle addition, midpoint, bisectors, complements, and supplements. COMMON CORE STANDARDS SUGGESTED HOMEWORK CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet CC.9-12 G.CO.9-11 G.SRT.4 Proofs Packet HIGHER LEVEL QUESTIONS NOTES/ ACTIVITIES Geometry Lesson Plans Chapter 3 Title: Parallel and Perpendicular Lines DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can identify parallel, perpendicular, and skew lines. I can Identify the pairs of angles formed by two lines and a transversal. I can prove and use theorems about the angles formed by parallel lines and transversals. I can use the angles formed by a transversal to prove two lines are parallel. COMMON CORE STANDARDS SUGGESTED HOMEWORK CC.9-12 G.CO.1 Geo. 3.1 CC.9-12 G.CO.1 Geo. 3.1 CC.9-12 G.CO.9 Geo. 3.2 CC.9-12 G.CO.9 Geo. 3.3 G.CO.12 Geo. 3.3 CC.9-12 G.CO.1 Geo. 3.4 G.CO.12 Geo. 3.4 CC.9-12 G.GPE.5 Geo. 3.5 Geo. 3.6 I can construct parallel lines. I can prove and apply theorems about perpendicular lines. I can construct perpendicular lines. I can use slope to identify parallel and perpendicular lines. HIGHER LEVEL QUESTIONS NOTES/ ACTIVITIES Geometry Lesson Plans Chapter 9 Title: Rigid Transformations DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can identify and draw reflections. COMMON CORE STANDARDS CC.9-12 G.CO.2,4-6 I can identify and draw translations. CC.9-12 G.CO.2,4-6 ACT G 607 G 407 SUGGESTED HOMEWORK HIGHER LEVEL QUESTIONS Geo. 9.1 How many reflections does (can) it take to return to the original image? Geo.9.2 How many translations does (can) it take to return to the original image? Geo. 9.3 How many rotations does (can) it take to return to the original image? Geo. 9.4 Is there a connection between rotational order and line symmetry? Geo. 9.4 Are there any movements you can make that CANNOT be mapped by rigid transformations? I can identify and draw rotations. I can identify and draw compositions of transformations. I can apply theorems about rigid transformations. (isometries) I can identify and describe symmetry in geometric figures. I can use transformations to draw tessellations. CC.9-12 G.CO.2,4-6 G 608, 512 CC.9-12 G.CO.2,4-6 G 407, 607, 608 CC.9-12 G.CO.2,4-6 G 705 CC.9-12 G.CO.2,3,5 G 502 CC.9-12 G.CO.2, 5 Questions of the Exam 1-2 3-4 5-6,23 7-8,2022 9,1517,24 Geo. 9.5 10-11,18 Geo. 9.6 13,19 *Higher Order: Does order matter with compositional transformations? Why or why not? Geometry Lesson Plans Chapter 4/5 Title: Triangles and Congruence DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can classify triangles by their angle measures and side lengths. I can use triangle classification to find angle measures and side lengths. I can find the measures of interior and exterior angles of triangles. I can apply theorems about the interior and exterior angles of triangles. I can prove theorems about isosceles and equilateral triangles. I can apply properties of isosceles and equilateral triangles. COMMON CORE STANDARDS CC.9-12 G.CO.10 CC.9-12 G.CO.10 CC.9-12 G.CO.10 CC.9-12 G.CO.10 CC.9-12 G.CO.10 CC.9-12 G.CO.10 I can use properties of congruent triangles. I can prove triangles congruent by using the definition of congruence. CC.9-12 G.SRT.5 I can apply SSS and SAS postulates to construct triangles and solve problems. I can prove triangles are congruent using SSS and SAS postulates. CC.9-12 G.CO.7-8 S.SRT.5 CC.9-12 G.CO.7-8 S.SRT.5 I can apply ASA, AAS, and HL postulates to construct triangles and solve problems. I can prove triangles are congruent using ASA, AAS, and HL postulates. I can use CPCTC to prove parts of triangles are congruent. I can apply inequalities in one triangle. I can write and indirect proof. I can apply inequalities in two triangles. CC.9-12 G.SRT.5 CC.9-12 G.CO.7-8 S.SRT.5 CC.9-12 G.CO.7-8 S.SRT.5 CC.9-12 G.SRT.5 G.MG.3 CC.9-12 G.CO.10 CC.9-12 G.CO.10 CC.9-12 G.CO.10 ACT G 201 G 501 G 201 G 501 AF 302 G 501 G 201 G 402 G 501 G 508 G 705 G 501 G 508 A 302 G 602 F 706 G 705 SUGGESTED HOMEWORK Geo. 4.2 Geo. 4.2 Geo. 4.3 Geo. 4.3 Geo. 4.9 Geo. 4.9 Geo. 4.4 Geo. 4.4 HIGHER LEVEL QUESTIONS Exam Questions 1,22 2,15 3 4,15 7 9 8,9,10 11,12 G 405 G 705 Geo. 4.5 9,10,11,12,16,1 7,18 G 405 G 705 Geo. 4.5 9,10,11,12,16,1 7,18 F 706 G 405 G 705 Geo. 4.6 F 706 G 705 Geo. 4.6 G 405 G 705 Geo. 4.7 AF 502 G 705 F 706 G 705 F 706 G 705 9,10,11,12,16,1 7,18 9,10,11,12,16,1 7,18 13,14,16,17,18 Geo. 5.5 19,21 Geo. 5.5 23 Geo. 5.6 19,21 Geometry Lesson Plans Chapter 7 Title: Similarity DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can identify similar polygons. I can apply properties of similar polygons to solve problems. I can identify and draw dilations in the coordinate plane. I can prove triangles are similar by using AA, SSS, and SAS postulates. I can use triangle similarity to solve problems. I can use properties of similar triangles to fine segment lengths. I can apply proportionality and triangle angle bisector theorems. I can use ratios to make indirect measurements. I can use scale drawings to solve problems. I can use coordinate proof to prove figures congruent or similar. I can divide a line segment into partitions. COMMON CORE STANDARDS CC.9-12 G.SRT.2 G.MC.3 CC.9-12 G.SRT.2 G.MC.3 CC.9-12 G.CO.2 G.SRT.1 CC.9-12 G.SRT.2,3,5 CC.9-12 G.SRT.2,3,5 ACT SUGGESTED HOMEWORK HIGHER LEVEL QUESTIONS Exam Questions 1,15,16,19 G 201 N 503 A 402 Geo. 7.1 2,3,11,21 Geo. 7.1 4,5,6 G 704 G 703 G 512 Geo. 9.7 G 405 G 705 Geo. 7.3 N 303 F 701 Geo. 7.3 7 8,9 11,19 CC.9-12 G.SRT.2,4,5 CC.9-12 G.SRT.2,4,5 A 302 G 405 F 701 G 705 CC. 9-12 G.SRT.5 G 405 G 703 G 406 CC.9-12 G.SRT.5 G 502 G 703 G 406 CC.9-12 G.CO.2 G.GPE.4,7 G.SRT.1 G.MG.3 CC.9-12 G.GPE.6 G 405 G 705 G 406 AF 302 G 405 G 502 Geo. 7.4 10,20 Geo. 7.4 16 Geo. 7.5 12,13,17,18,23 Geo. 7.5 14,22 Geo. 7.6 Geo. 4.8 Geo. Pg. 515 20,21 Geometry Lesson Plans Chapter 6 Title: Polygons and Quadrilaterals DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can classify polygons based on their sides an angles. I can find and use the measures of interior and exterior angles of polygons. I can prove and apply properties of parallelograms. I can use properties of parallelograms to solve problems. I can prove a polygon is a parallelogram. I can prove and apply properties of rectangles, rhombuses, and squares. COMMON CORE STANDARDS ACT CC.9-12 G.CO.11 G 202 G 303 CC.9-12 G.CO.11 SUGGESTED HOMEWORK G 303 G 502 CC.9-12 G.CO.11 G 202 G 301 CC.9-12 G.CO.11 G 202 G 301 CC.9-12 G.CO.11 G.GPE.12 G.MG.3 G 202 G 301 Geo. 6.1 2,3,16,17,20 Geo. 6.1 4,21,22 Geo. 6.2 5,6 Geo. 6.2 7,8,23,24 Geo. 6.3 9,22 G 605 I can use properties of rectangles, rhombuses, and squares to solve problems. CC.9-12 G.CO.11 G 405 G 202 Geo. 6.4 I can prove that a given quadrilateral is a rectangle, rhombus, or square. CC.9-12 G.CO.11 G 605 G 202 G 406 Geo. 6.5 I can use properties of Trapezoids to solve problems. CC.9-12 G.SRT.5 CC.9-12 G.SRT.5 Test Questions 1 CC.9-12 G.CO.11 I can use properties of Kites to solve problems. HIGHER LEVEL QUESTIONS A 302 G 406 A 302 Geo. 6.4 10,19 11,12 13 Geo. 6.6 14,15,18 Geo. 6.6 Geometry Lesson Plans Chapter 5/8 Title: Right Triangle Trigonometry DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can justify and apply properties of special right triangles. COMMON CORE STANDARDS ACT CC.9-12 G.SRT.6 G.508 G.602 CC.9-12 G.SRT.6 G.402 G.509 G.602 CC.9-12 G.SRT.6 G.508 G.509 G.604 CC.9-12 G.SRT.6 G.508 G.509 G.603 I can use trig. Ratios to find side lengths in right triangles and to solve real world problems. CC.9-12 G.SRT.6 G.508 G.509 G.603 I can use trig. Ratios to find angle measures in right triangles and to solve real world problems. CC.9-12 G.SRT.6 I can use geometric mean to find segment lengths in right triangles. I can apply similarity relationships in right triangles to solve problems. I can find sin, cos, and tan of an acute angle. I can solve problems involving angles of elevation and depression. SUGGESTED HOMEWORK HIGHER LEVEL QUESTIONS Exam Questions 2,3,5 CC.9-12 G.SRT.8 G.508 G.509 G.602 G.508 G.509 G.510 Geo. 5.8 1,10,20 Geo. 8.1 9,14 Geo. 8.1 6,7,15,16 Geo. 8.2 11,13,18 Geo. 8.2 4,12,19 Geo. 8.3 8,17,21,22 Geo. 8.4 Geometry Lesson Plans Chapter 11 Title: Volume DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can understand how solids can be produced by rotating a twodimensional figure through space. COMMON CORE STANDARDS ACT SUGGESTED HOMEWORK HIGHER LEVEL QUESTIONS CC.9-12 G.GMD.4 G601 LTF Solids of Revolution How would the solid be different if the axis of rotation were horizontal or vertical? I can classify three-dimensional figures according to their properties. CC.9-12 G.GMD.4 G601 Geo. 11.1 I can use nets and cross sections to analyze three-dimensional figures. (find surface area) CC.9-12 G.GMD.4 G601 Geo. 11.1 CC.9-12 G.GMD.3 G.MG.1-2 G601 Geo. 11.2 CC.9-12 G.GMD.3 G.MG.1-2 G601 Geo. 11.2 CC.9-12 G.GMD.3 G.MG.1 G601 Geo. 11.3 CC.9-12 G.GMD.3 G.MG.1 G601 Geo. 11.3 I can apply the formula for the volume of a prism. I can apply the formula for the volume of a cylinder. I can apply the formula for the volume of a pyramid. I can apply the formula for the volume of a cone. I can apply the formula for the volume and surface area of a sphere. I can describe the effect on perimeter, area, and Volume when one or more dimensions of a figure are changed. CC.9-12 G.GMD.3 G601 Geo. 11.4 CC.9-12 G.GPE.7 G601 Geo 10.5 Add Volume Test Questions 19 1,9 When is a cross section of a 3D solid congruent to its base(s)? How is the ratio of the volumes of two similar prisms related to the ratio of their dimensions? How is the ratio of the volumes of two similar cylinders related to the ratio of their dimensions? How do you find the bae are of a pyramid in yards when given the area in acres? 2,10,17,20 3,11,21,22, 23 4,12,18 5,13 6,14 How would you find the volume/surface area of a hemisphere? Do the radii of two balls whose volumes have a 2:1 ratio also have a 2:1 ratio? How do you know? 7,8,15,16,18 19 Geometry Lesson Plans Chapter 12 Title: Circles DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can identify tangents, secant, and chords. I can use properties of tangents to solve problems. COMMON CORE STANDARDS CC.9-12 G.C.2 G.C.4 G.CO.12 CC.9-12 G.C.2 G.C.4 G.CO.12 SUGGESTED HOMEWORK HIGHER LEVEL QUESTIONS G405 Geo. 12.1 Explain the relationship between a cord and a diameter. How are they alike/different? G405 Geo. 12.1 ACT I can apply properties of arcs. I can apply properties of chords. CC.9-12 G.C.2 G.CO.12 G405 Geo. 12.2 CC.9-12 G.C.2 G.CO.12 G405 Geo. 12.2 I can find the area of a sector. Test Questions 1 2,11 If two circles are not congruent but their central angles are congruent, do you think their corresponding arcs and chords would still be congruent? Why/why not. 3 4,14 How could you calculate the area of a sector by using that area of the circle and the percentage shaded by the sector? CC.9-12 G.C.5 G507 Geo. 12.3 I can find the length of an arc. CC.9-12 G.C.5 G507 Geo. 12.3 6 I can find the measure of an inscribed angle. CC.9-12 G.C.2 G.CO.12-13 G405 Geo. 12.4 7 I can use properties of inscribed angles to solve problems. Can you assume any relationship between the adjacent angles of an inscribed quadrilateral? Why/why not. How are tangent-secant angles similar to those with inscribed angels? 5,21 CC.9-12 G.C.2 G.CO.12-13 G405 Geo. 12.4 CC.9-12 G.C.2 G405 Geo. 12.5 I can use angle measures to solve problems involving circles. CC.9-12 G.C.2 G405 Geo. 12.5 9,17,19, 20 I can find the lengths of segments formed by lines that intersect circles. I can use the lengths of segments in circles to solve problems. I can write equations and graph circles in the coordinate plane. CC.9-12 G.C.2 CC.9-12 G.C.2 G405 Geo. 12.6 12,13 G405 Geo. 12.6 14,17,19 CC.9-12 G.GPE.1 G405 Geo. 12.7 I can use the equation and graph of a circle to solve problems. CC.9-12 G.GPE.1 G405 Geo. 12.7 I can find the measures of angles formed by lines that intersect circles. How is the distance formula and the equation of a circle related? 8 10 15,18 16 Geometry Lesson Plans Chapter 10/13 Title: Probability DART STATEMENT…WHAT YOU WILL BE ABLE TO DO AFTER EACH LESSON I can calculate geometric probabilities. I can use geometric probability to predict results in real-world situations. COMMON CORE STANDARDS ACT SUGGESTED HOMEWORK CC.9-12 S.CP.1 S403 Geo. 10.6 CC.9-12 S.CP.1 S403 Geo. 10.6 I can solve problems involving the fundamental counting principle. CC.9-12 S.CP.1 S405 Geo. 13.1 I can find the theoretical probability of an event. CC.9-12 S.MD.7 S305, S403 Geo. 13.2 I can find the experimental probability of an event. CC.9-12 S.MD.7 S305, S403 Geo. 13.2 CC.9-12 S.CP.3 S606 Geo. 13.3 CC.9-12 S.CP.3 S305, S403 Geo. 13.3 CC.9-12 S.CP.4 S305 Geo. 13.4 I can determine whether events are independent or dependent. I can find the probability of independent and dependent events. I can construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. HIGHER LEVEL QUESTIONS Test Questions 6,13 How does a ratio for geometrical probability relate to the definition of theoretical probability? How else could you find the total number of choices? How do you describe a situation with a probability of 1? How is experimental probability different from theoretical? Why is the probability of dependent events different from the probability of independent events? Is the probability of B given A the same as the probability of A given B? 3 5,7,14 4, 8,9,10,11,12 *** Please sign that you have received and read over this course syllabus and classroom policies and expectations. Student Signature: ___________________________ Date: ____________ Parent/Guardian Signature: ____________________________ Date: ____________ *** Please leave an e-mail address so I can contact you with any pertinent information regarding your child. Parent Guardian Name: _________________________ E-mail Address:_________________________________ ********************************************************************* Please tear below this line and keep my contact information. The best way to communicate with me is through e-mail. E-mail: [email protected] Phone # and Extension: 606-862-5580 6523