G eometry

1. Geometry Start Date: January 3, 2010 End Date: _____________

2. Day 1 Angle Measurements Target: I will measure and estimate the measures of angles.

3. Day 1 Protractor introductions Center Mark Base Line

4. Day 1 How to use a protractor… correctly • Extend each side of the angle so it will reach from the center mark of the protractor to its outer edge.

5. Day 1 How to use a protractor… correctly 2. Place the base line of the protractor directly over the base side of the angle, with the center mark of the protractor directly over the vertex (corner) of the angle.

6. Day 1 How to use a protractor…correctly 3. Find where the rising side of the angle crosses the two sets of numbers for measuring degrees.

7. Day 1 Three Categories of Angles • Acute Angle —An angle that has a measurement of less than 90o • Right Angle —An angle that has a measurement of exactly 90o • Obtuse Angle —An angle that has a measurement of more than 90o

8. Day 1 Homework • Worksheet • Measuring Angles (10.3) • Vocab to Include: • Vertex • Acute angle • Right angle • Obtuse angle

9. Day 2 Special Angles Vocabulary Target: I will be able to define, name, identify, and create the following types of angles: • Congruent Angles • Adjacent Angles • Vertical Angles • Supplementary Angles • Complementary Angles • Corresponding Angles • Alternate Interior Angles • Alternate Exterior Angles

10. Day 2 Vertex What it is What it looks like The part of an angle where the two rays connect (the corner of the angle)

11. Day 2 Congruent Angles What they are What they look like Angles that have the same measure

12. Day 2 Adjacent Angles What they are What they look like Adjacent angles Angles that share a vertex and a side and are next to each other. Shared vertex Shared side

13. Day 2 Vertical Angles What they are What they look like Vertical angles Angles that are formed by two intersecting lines and are opposite of each other Intersecting lines

14. Day 2 Supplementary Angles What they are What they look like Angles whose total is 180o (they make a straight line) 40 + 140 = 180

15. Day 2 Complimentary Angles What they are What they look like Angles whose total is 90o (they make a right angle) 40 + 50 = 90

16. Day 2 Parallel Lines What they are What they look like Lines that will never cross

17. Day 2 Transversal What it is What it looks like A line that crosses another line

18. Day 2 Corresponding Angles What they are What they look like Angles that are on the same side of a transversal and on the same side of the line

19. Day 2 Alternate Interior Angles What they are What they look like Angles that are not next to each other on the inside of a pair of lines and on opposite sides of a transversal

20. Day 2 Alternate Exterior Angles What they are What they look like Angles that are not next to each other on the outside of a pair of lines and on opposite sides of a transversal

21. Day 2 Homework • Vocab to Include: • Congruent angles • Adjacent angles • Vertical angles • Supplementary angles • Complementary angles • Parallel lines • Transversal • Corresponding angles • Alt. interior angles • Alt. exterior angles • Worksheet

22. Day 3 Special Angles Target: I will develop and use rules about angles formed by parallel lines and transversals.

23. Day 3 Target: I will develop and use rules about angles formed by parallel lines and transversals. Summary Rule #1: Vertical angles are always congruent. Rule #2: When parallel lines are cut by a transversal, corresponding angles are congruent. Rule #3: When parallel lines are cut by a transversal, alternate interior angles are congruent. Rule #4: When parallel lines are cut by a transversal, alternate exterior angles are congruent.

24. Day 3 Homework • Vocab to Include: • Worksheet

25. Day 4 Sum of the Angles in Any Triangle Target: I will determine and use the relationship among the measures of the interior angles of a triangle.

26. Day 4 Use a straight edge to draw a triangle on a sheet of scratch paper and label the angles A, B, and C (as shown). Then cut it out. A C B

27. Day 4 A C B Carefully rip each corner of the triangle off.

28. Day 4 Lay each angle adjacent to the others (in any order). (Tape in your compbook)

29. Day 4 Answer the 3 questions that follow in your compbook 1. What do you notice about the angles of the triangle? 2. Repeat this with two more triangles. Does it work every time? 3. With your partner, writea rule for the sum of the angle measures in any triangle.

30. Day 4 Target: I will determine and use the relationship among the measures of the interior angles of a triangle. Summary Rule for the interior angles of any triangle: The total degrees within any triangle are 180o.

31. Day 4 Homework • Vocab to Include: • Worksheet

32. Day 5 Sum of Angles in Any Polygon Target: I will determine and use the relationship among the measures of the interior angles of any polygon.

33. Day 5 Polygon Review Rectangle: a 4 sided figure with 2 sets of parallel lines and 90o angles Trapezoid: a 4 sided figure with one set of parallel lines Triangle: any 3 sided figure Octagon: any 8 sided figure Hexagon: any 6 sided figure Pentagon: any 5 sided figure

34. Day 5 Rule for interior angles of any polygon: Target: I will determine and use the relationship among the measures of the interior angles of any polygon. Summary The sum of any interior angles of a polygon is 180 multiplied by the number of sides minus 2. d = 180(s-2)

35. Day 5 Homework • Vocab to Include: • Triangle • Rectangle • Trapezoid • Hexagon • Octagon • Worksheet

36. Geometry Start Date: 2 February 2010 End Date: 12 February 2010