c) Observe your results from and above. What do you notice about the relationships a b between the angles in each of the diagrams? d) With the straight edge of your protractor, draw two lines that intersect below and test your conjecture: e) Generalize what you have discovered. Did it go along with your predictions? (To the Teacher: This opening activity could be a group activity where students observe special relationships of intersecting lines. During the discussion of their findings it would be important to give names to the angle relationships discovered, such as adjacent, vertical and supplementary angles. Also you can help students understand that the general statements made will be used in further work this year (e.g. The measures of vertical angles formed by intersecting lines are equal.) Second Activity 1. Look at the map of Detroit that we used in a previous lesson yesterday. Find where Michigan Avenue crosses First Street. Do the relationships we observed about the four angles formed by two intersecting lines hold true? Justify your answer. 2. Use your knowledge of relationships to find the degrees of the missing angles without using your protractor: 102 52
c) Observe your results from a and b above. What do you notice about the relationships between the angles in each of the diagrams? d) With the straight edge of your protractor, draw two lines that intersect below and test your conjecture: e) Generalize what you have discovered. Did it go along with your predictions? (To the Teacher: This opening activity could be a group activity where students observe special relationships of intersecting lines. During the discussion of their findings it would be important to give names to the angle relationships discovered, such as adjacent, vertical and supplementary angles. Also you can help students understand that the general statements made will be used in further work this year (e.g. The measures of vertical angles formed by intersecting lines are equal.) Second Activity 1. Look at the map of Detroit that we used in a previous lesson yesterday. Find where Michigan Avenue crosses First Street. Do the relationships we observed about the four angles formed by two intersecting lines hold true? Justify your answer. 2. Use your knowledge of relationships to find the degrees of the missing angles without using your protractor: 102 52
Dabbling-with-Definitions.docx