Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Duality (projective geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Contour line wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
Rational trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Demonstration lesson plan for mathematics Prepared by: Hanna Grace C. Honrade April, 11 2016 I. Objectives: At the end of the lesson, the students with 75% proficiency should be able to: a. determine whether two lines are parallel, b. identify angle relationships in parallel lines cut by a transversal, c. and show enthusiasm in performing assigned task. II. III. Subject Matter: a. Topic: Angles formed by parallel lines cut by a transversal b. Materials: PowerPoint presentation, Projector and Worksheet c. Reference/s: i. Books: mathematics learning, page 441- 444 ii. Website: https://learnzillion.com Procedures: a. Activity 1. Preliminary Activities i. Prayer ii. Greetings iii. Checking of attendance iv. Setting of classroom atmosphere 2. Motivation: Introduction to Parallel lines and Transversal 3. Review b. Analysis Presentation: Angles formed by parallel lines cut by a transversal Parallel Lines- are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. Transversal- is a line that intersects two or more lines (in the same plane). When lines intersect, angles are formed in several locations. Example: Nadia likes to practice for gymnastic competitions on the balance beam at the park. She knows she will be scored on the angles of her legs and arms while balancing on the beam. When two parallel lines are given, there are two main areas: Interior Angles. Any four angles formed inside two straight lines when these lines are intersected by a third straight line. Exterior angles. Any four angles formed Outside two straight lines when these lines are intersected by a third straight line. If a transversal intersects parallel lines…. Corresponding Angles. Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal. Corresponding angles are congruent. 5≅ 1 7≅ 3 8≅ 4 6≅ 2 Alternate interior angles. The pairs of angles on opposite sides of the transversal but inside the two lines. Alternate interior angles are congruent. 5≅ 4 6≅ 3 Alternate exterior angles. The pairs of angles on opposite sides of the transversal but outside the two lines. Alternate exterior angles are congruent. 7≅ 2 8≅ 1 Consecutive interior angles. defined as two interior angles lying on the same side of the transversal cutting across two parallel lines. Consecutive interior angles are supplementary. m 3 + m 5 = 1800 m 4 + m 6 = 1800 Consecutive exterior angles. defined as two exterior angles lying on the same side of the transversal cutting across two parallel lines. Consecutive exterior angles are supplementary. m 1 + m 7 = 1800 m 2 + m 8 = 1800 c. Abstraction 1. Do parallel have to be horizontal? 2. If non- parallel lines cut by a transversal are the corresponding angles will be equal? 3. How are you going to determine which angles are congruent when parallel lines are intersected by a transversal? d. Application Use the map below to determine pairs of person that are on street corners with Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, vertical angles, consecutive interior angles and consecutive exterior angles. Fill the pairs into the table under the appropriate heading. IV. Assignment DINKY KING GAME Mario has to save a damsel in distress by jumping over the barrels rolled down the platforms at him. Mario climbs the ladders, which will be at different angles, in order to get to the damsel and free her. find all the missing angles on the game: