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- 1. G eometry Start Date: 17 March 2010 End Date: _____________
- 2. Angle Measurements Target: I will measure and estimate the measures of angles. Day 1
- 3. Protractor introductions Center Mark Base Line Day 1
- 4. How to use a protractor… correctly Day 1 <ul><li>Extend each side of the angle so it will reach from the center mark of the protractor to its outer edge. </li></ul>
- 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 <ul><li>Acute Angle —An angle that has a measurement of less than 90 o </li></ul><ul><li>Right Angle —An angle that has a measurement of exactly 90 o </li></ul><ul><li>Obtuse Angle —An angle that has a measurement of more than 90 o </li></ul>
- 8. Homework <ul><li>Worksheet </li></ul><ul><ul><li>Measuring Angles (10.3) </li></ul></ul><ul><li>Vocab to Include: </li></ul><ul><ul><li>Vertex </li></ul></ul><ul><ul><li>Acute angle </li></ul></ul><ul><ul><li>Right angle </li></ul></ul><ul><ul><li>Obtuse angle </li></ul></ul>Day 1
- 9. Special Angles Vocabulary Target: I will be able to define, name, identify, and create the following types of angles: <ul><li>Congruent Angles </li></ul><ul><li>Adjacent Angles </li></ul><ul><li>Vertical Angles </li></ul><ul><li>Supplementary Angles </li></ul><ul><li>Complementary Angles </li></ul><ul><li>Corresponding Angles </li></ul><ul><li>Alternate Interior Angles </li></ul><ul><li>Alternate Exterior Angles </li></ul>Day 2
- 10. Vertex What it looks like What 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 like What they are Angles that have the same measure Day 2
- 12. Adjacent Angles What they look like What they are Angles that share a vertex and a side and are next to each other. Shared vertex Shared side Adjacent angles Day 2
- 13. Vertical Angles What they look like What 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 like What they are Angles whose total is 180 o (they make a straight line) 40 + 140 = 180 Day 2
- 15. Complimentary Angles What they look like What they are Angles whose total is 90 o (they make a right angle) 40 + 50 = 90 Day 2
- 16. Parallel Lines What they look like What they are Lines that will never cross and are in the same plane Day 2
- 17. Transversal What it looks like What it is A line that crosses another line Day 2
- 18. Corresponding Angles What they look like What 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 like What 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 like What 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 <ul><li>Worksheet </li></ul><ul><li>Vocab to Include: </li></ul><ul><ul><li>Congruent angles </li></ul></ul><ul><ul><li>Adjacent angles </li></ul></ul><ul><ul><li>Vertical angles </li></ul></ul><ul><ul><li>Supplementary angles </li></ul></ul><ul><ul><li>Complementary angles </li></ul></ul><ul><ul><li>Parallel lines </li></ul></ul><ul><ul><li>Transversal </li></ul></ul><ul><ul><li>Corresponding angles </li></ul></ul><ul><ul><li>Alt. interior angles </li></ul></ul><ul><ul><li>Alt. exterior angles </li></ul></ul>Day 2
- 22. Special Angles Target: I will develop and use rules about angles formed by parallel lines and transversals. Day 3
- 23. Day 3 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 <ul><li>Worksheet </li></ul><ul><li>Vocab to Include: </li></ul>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. 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 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 <ul><li>Worksheet </li></ul><ul><li>Vocab to Include: </li></ul>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. d = 180(s-2) Rule for interior angles of any polygon:
- 35. Homework <ul><li>Worksheet </li></ul><ul><li>Vocab to Include: </li></ul><ul><ul><li>Triangle </li></ul></ul><ul><ul><li>Rectangle </li></ul></ul><ul><ul><li>Trapezoid </li></ul></ul><ul><ul><li>Hexagon </li></ul></ul><ul><ul><li>Octagon </li></ul></ul>Day 5
- 36. G eometry Start Date: 17 March 2010 End Date: 2010

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