Embed Size (px)
Citation preview
GeometryStart Date: January 3, 2010
End Date: _____________
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
Day 1
1.Extend each side of the angle so it will reach from the center mark of the protractor to its outer edge.
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.
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.
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
Homeworko Worksheet
o Measuring Angles (10.3)
o Vocab to Include: o Vertexo Acute angleo Right angleo Obtuse angle
Day 1
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
VertexWhat it looks
likeWhat it is
The part of an angle where the two rays connect (the corner of the angle)
Day 2
Congruent AnglesWhat they look
likeWhat they are
Angles that have the same measure
Day 2
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
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
Supplementary Angles
What they look like
What they are
Angles whose total is 180o (they make a straight line)
40 + 140 = 180
Day 2
Complimentary Angles
What they look like
What they are
Angles whose total is 90o (they make a right angle) 40 + 50 =
90
Day 2
Parallel LinesWhat they look
likeWhat they are
Lines that will never cross
Day 2
TransversalWhat it looks
likeWhat it is
A line that crosses another line
Day 2
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
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
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
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
Special Angles
Target: I will develop and use rules about angles formed by parallel lines and transversals.
Day 3
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
Homeworko Worksheet o Vocab to
Include:
Day 3
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
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
Day 4
Carefully rip each corner of the triangle off.
A
B
C
Lay each angle adjacent to the others (in any
order).
Day 4
(Tape in your compbook)
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
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
Homeworko Worksheet o Vocab to
Include:
Day 4
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 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
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)
Homeworko Worksheet o Vocab to
Include: o Triangleo Rectangleo Trapezoido Hexagono Octagon
Day 5
GeometryStart Date: 2 February 2010
End Date: 12 February 2010
