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Transcript
Geometry Start Date: January 3, 2010 End Date: _____________ Day 1 Angle Measurements Target: I will measure and estimate the measures of angles. Day 1 Protractor introductions Center Mark Base Line Day 1 How to use a protractor… correctly 1.Extend each side of the angle so it will reach from the center mark of the protractor to its outer edge. 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. 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. 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 Day 1 Homework Vocab to Include: o Vertex o Acute angle o Right angle o Obtuse angle o Worksheet o o Measuring Angles (10.3) 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 Day 2 Vertex What it is The part of an angle where the two rays connect (the corner of the angle) What it looks like Day 2 Congruent Angles What they are Angles that have the same measure What they look like Day 2 Adjacent Angles What they are Angles that share a vertex and a side and are next to each other. What they look like Adjacent angles Shared vertex Shared side Day 2 Vertical Angles What they are Angles that are formed by two intersecting lines and are opposite of each other What they look like Vertical angles Intersecting lines Day 2 Supplementary Angles What they are What they look like Angles whose total is 180o (they make a straight line) 40 + 140 = 180 Day 2 Complimentary Angles What they are What they look like Angles whose total is 90o (they make a right angle) 40 + 50 = 90 Day 2 Parallel Lines What they are Lines that will never cross What they look like Day 2 Transversal What it is A line that crosses another line What it looks like Day 2 Corresponding Angles What they are Angles that are on the same side of a transversal and on the same side of the line What they look like Day 2 Alternate Interior Angles 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 What they look like Day 2 Alternate Exterior Angles 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 What they look like Day 2 Homework Vocab to Include: o o Worksheet 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 o o Day 3 Special Angles Target: I will develop and use rules about angles formed by parallel lines and transversals. Day 3 Summary 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. Day 3 Homework o Vocab to Include: o Worksheet 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. 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 Day 4 Carefully rip each corner of the triangle off. A C B Day 4 Lay each angle adjacent to the others (in any order). (Tape in your compbook) 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, write a rule for the sum of the angle measures in any triangle. Day 4 Summary 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 180o. Day 4 Homework o Vocab to Include: o Worksheet 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. Day 5 Polygon Review Triangle: any 3 sided figure Pentagon: any 5 sided figure Trapezoid: a 4 sided figure with one set of parallel lines Hexagon: any 6 sided figure Octagon: any 8 sided figure Rectangle: a 4 sided figure with 2 sets of parallel lines and 90o angles Day 5 Summary Target: I will determine and use the relationship among the measures of the interior angles of any polygon. Rule for interior angles of any The sum of any interior angles of a polygon is polygon: 180 multiplied by the number of sides minus 2. d = 180(s-2) Day 5 Homework Vocab to Include: o Triangle o Rectangle o Trapezoid o Hexagon o Octagon o Worksheet o Geometry Start Date: 2 February 2010 End Date: 12 February 2010