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G eometry Start Date: January 3, 2010 End Date: _____________.

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Presentation on theme: "G eometry Start Date: January 3, 2010 End Date: _____________."— Presentation transcript:

1 G eometry Start Date: January 3, 2010 End Date: _____________

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

3 Protractor introductions Center MarkBase Line Day 1

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

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

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

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

9 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 Day 2

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

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

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

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

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

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

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

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

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

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

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

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

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

23 Target: I will develop and use rules about angles formed by parallel lines and transversals. 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. Summary

24 Homework o Worksheet o Vocab to Include: Day 3

25 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. Day 4

26 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 B C

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

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

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

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

31 Homework o Worksheet o Vocab to Include: Day 4

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

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

34 Day 5 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. Rule for interior angles of any polygon: d = 180(s-2)

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

36 G eometry Start Date: 2 February 2010 End Date: 12 February 2010


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