Geometry Goal 3 –To Identify Line and Angle Relationships Learning Outcomes 2.1 Line Segment Bisectors – Bisect a segment. Find the coordinate of the midpoint of the segment. Review Two-step equations. Chapter Reference 2.1 2.2 Angle Bisectors – Bisect an Angle Chapter Reference 2.2 2.3 Complementary and Supplementary Angles – Find the measures of complementary and supplementary angles Chapter Reference 2.3 * ^ # Differentiated Instructional Activities Text Book References* Chapter Resource Book References Assessment# Measure line segments to find length and midpoint. Use arithmetic and algebraic strategies to determine midpoints and length of line segments. Draw segments on coordinate system and find midpoint by inspection. Practice finding the mean of two real numbers, stressing the concept that mean refers to balance point i.e. midpoint. Use midpoint formula to find midpoint of a segment. Pg. 54 – 55 ex: 1 – 5 Ch. 2 Review pg. 76 ex: 6 – 7 HQ: pg. 8^ Ch. 2 SAT/ACT Chapter Test Pg 71 ex: 1 – 2 Pg. 56 – 58 ex: 1 – 63 Alternative assessment and Math Journal Pg 72 ex: 1 Pg 49 ex: 13 - 20 Review use of a protractor. Work in pairs to determine angle bisector through paper folding activity. Use arithmetic and algebraic strategies to find measurements related to bisected angles. Review adjacent angles, right angle and straight angle. Define terms complementary angles and supplementary angles. Identify complementary and supplementary angles from diagrams. Use arithmetic and algebraic strategies to find measurements related to complementary and supplementary angles. Pg. 61 – 63 ex: 1 – 10 Ch. 2 Review pg. 76 ex: 8 – 18 Pg. 64 – 66 ex: 1 – 47 Pg. 67 –69 ex: 1 – 6 Ch 2. Quiz pg. 36 Ch. 2 Review Pg. 77 ex: 19 – 20 Pg. 70 – 73 ex: 1 – 59 WT pg. 8^ WT pg. 9 WT pg. 13 WT pg. 20 HQ: pg. 9 WT pg. 10 WT pg. 14 HQ: pg. 10 SAT/ACT Chapter Test Pg 71 ex: 4 - 5 Pg. 73 Quiz ex: 1 – 9 The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class. These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher. Learning Outcomes 2.4 Vertical Angles – Find the measures of angles formed by intersecting lines Chapter Reference 2.4 2.5 If-Then Statements, Distributive Property Review Use if-then statements and learn how to use the distributive property in expressions Algebra Review Chapter Reference 2.5, pg. 671 2.6 CAPT Practice * ^ # Differentiated Instructional Activities Text Book References* Chapter Resource Book References Assessment# Demonstrate the physical relationship that exists for vertical angles. Identify vertical angles and linear pairs from diagrams. Use linear pair and vertical angle relationships with algebraic and arithmetic strategies to determine measures of angles related to vertical angles in diagrams. Pg. 77 ex: 1 – 6 Ch. 2 Review pg. 77 ex: 21 – 25 WT pg. 11 HQ: pg. 11 Explain the vocabulary: if-then statement, hypothesis, conclusion, deductive reasoning, detachment, syllogism. After practicing if-then statements, have students work in pairs developing their own if-then statements, Law of Detachment and Law of Syllogism. Pg. 83 ex 1 – 4 Pg. 78 – 81 ex: 1 – 71 Pg. 85 - 87 ex: 1 – 12; 28 – 43 Pg. 94 Quiz 1 – 5 SAT/ACT Chapter Test Pg 71 ex: 6 - 7 Ch 2. Quiz pg. 64 Ch. 2 Review pg. 77 ex: 26 WT pg. 17 HQ: 12 SAT/ACT Chapter Test Pg 71 ex: 8 Pg. 671 ex: 1 – 17 Strike Zone, 58 Paper Airplane, 65 Lasers, 65 Bridges, 71 Beach Chairs, 72 Flags, 79 Drafting Table, 80 Advertising, 86 Additional CAPT items can be found in these materials at the end of this unit in this Implementation Guide. The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class. These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher. 2.1 Line Segment Bisectors Page 1 Solve and Check: Page 2 Page 3 2.2 Angle Bisectors Page 4 Page 5 2.3 Complementary and Supplementary Angles Page 6 Page 7 2.4 Vertical Angles Page 8 Page 9 Page 10 2.5 If-Then Statements Distributive Property Review Page 11 Distributive Property Review Page 12 Page 13 2.6 CAPT Practice Page 14 Page 15 Page 16 Page 17 Page 18