G eometry Start Date: January 3, 2010 End Date: _____________.
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Transcript of G eometry Start Date: January 3, 2010 End Date: _____________.
![Page 1: G eometry Start Date: January 3, 2010 End Date: _____________.](https://reader030.fdocuments.us/reader030/viewer/2022032600/56649dbd5503460f94aaf5ef/html5/thumbnails/1.jpg)
GeometryStart Date: January 3, 2010
End Date: _____________
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Angle Measurements
Target: I will measure and estimate the measures of angles.
Day 1
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Protractor introductions
Center Mark
Base Line
Day 1
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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.
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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.
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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.
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Three Categories of Angles
Day 1
•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
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Homeworko Worksheet
o Measuring Angles (10.3)
o Vocab to Include: o Vertexo Acute angleo Right angleo Obtuse angle
Day 1
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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
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VertexWhat it looks
likeWhat it is
The part of an angle where the two rays connect (the corner of the angle)
Day 2
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Congruent AnglesWhat they look
likeWhat they are
Angles that have the same measure
Day 2
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Adjacent AnglesWhat they look
likeWhat they are
Angles that share a vertex and a side and are next to each other.
Shared vertex
Shared side
Adjacent angles
Day 2
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Vertical AnglesWhat 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
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Supplementary Angles
What they look like
What they are
Angles whose total is 180o (they make a straight line)
40 + 140 = 180
Day 2
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Complimentary Angles
What they look like
What they are
Angles whose total is 90o (they make a right angle) 40 + 50 =
90
Day 2
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Parallel LinesWhat they look
likeWhat they are
Lines that will never cross
Day 2
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TransversalWhat it looks
likeWhat it is
A line that crosses another line
Day 2
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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
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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
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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
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Homeworko Worksheet
o
o Vocab to Include: o Congruent angleso Adjacent angleso Vertical angleso Supplementary angleso Complementary angleso Parallel lineso Transversalo Corresponding angleso Alt. interior angleso Alt. exterior angles
Day 2
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Special Angles
Target: I will develop and use rules about angles formed by parallel lines and transversals.
Day 3
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Day 3Target: 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
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Homeworko Worksheet o Vocab to
Include:
Day 3
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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
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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
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Day 4
Carefully rip each corner of the triangle off.
A
B
C
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Lay each angle adjacent to the others (in any
order).
Day 4
(Tape in your compbook)
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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
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Day 4Target: 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.
Summary
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Homeworko Worksheet o Vocab to
Include:
Day 4
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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
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Polygon ReviewTriangle: 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 90o angles
Hexagon: any 6 sided figure
Octagon: any 8 sided figure
Day 5
Pentagon: any 5 sided figure
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Day 5Target: 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)
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Homeworko Worksheet o Vocab to
Include: o Triangleo Rectangleo Trapezoido Hexagono Octagon
Day 5
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GeometryStart Date: 2 February 2010
End Date: 12 February 2010