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Meeting Two. Hour one Feedback Warm-up LINES Hour two ANGLES Project intro Hour three Check-ins Library . Some interests in this room. Nursing Cars, trucks Woods Cooking Army Machine tools History Animal care Driving (mudding) Photography Accounting Marketing Economics
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Meeting Two • Hour one • Feedback • Warm-up • LINES • Hour two • ANGLES • Project intro • Hour three • Check-ins • Library
Some interests in this room • Nursing • Cars, trucks • Woods • Cooking • Army • Machine tools • History • Animal care • Driving (mudding) • Photography • Accounting • Marketing • Economics • Architecture • Gaming, media • Coaching • Helping kids • (Drawing)
Geometry is related to… • Nursing • Cars, trucks • Woods • Cooking • Army • Machine tools • History • Animal care • Driving (mudding) • Photography • Accounting • Marketing • Economics • Architecture • Gaming, media • Coaching • Helping kids • (Drawing)
Your day one questions • What other things are we going to be doing for the rest of these 5 weeks? • Why are fractions important? • More on Y=mX+b
Warm-up • Operating on Fractions • What scales would you use on the X and Y axes to represent this data? • Decimals (another pre-skill)
3) What scale for these axes? • (See Board)
What have we covered, so far? Plane Point Line Angle Flat (2-D) Shapes Solids (3-D)
Line (continued) • Having trouble with slope? • Try using the slope formula: EXAMPLE ON BOARD
Line (continued) • Having trouble with y-intercept? • Plug-in both the slope and the X and Y value from a point that you know, and then solve for b FIRST PROBLEM SET
New Topic: Angle • Is made by two lines, rays, or segments that meet (at the vertex) • Has size (measured in degrees) • Is described using three points
Angle (continued) • Some exact sizes are named: • Right (90o) • Straight (180o)
Angle (continued) • Some ranges of sizes are named: • Acute (between 0o and 90o) • Obtuse (between 90o and 180o)
Angle (continued) • Some combinations are named: • Adjacent (two that share a ray) • Opposite (two that are across an intersection of lines)
Angle (continued) • More combinations are named: • Complementary (add up to 90o) • Supplementary (add up to 180o)
Angle (continued) • You can eye-ball the categories • You’ll also need to find angle size exactly by measuring with a protractor EXAMPLE ON BOARD
Angle TASKS • Measure angles on paper using a protractor • Identify individual angles as right, straight, acute, or obtuse • Identify pairs of angles as adjacent, opposite, complementary, or supplementary SECOND PROBLEM SET
Topic: Angles and Lines • Some combinations are named: • Perpendicular (meet at 90o) • Parallel (never meet, have same slope)
Angles and Lines • Parallel lines have same slope (m) EXAMPLE ON BOARD
Topic: Angles and Lines • Perpendicular lines have slopes that are each other’s opposite and reciprocal EXAMPLE ON BOARD
Angles and Lines • A line that crosses or bridges two parallel lines is called a transversal
Angles and Lines • When a transversal crosses parallel lines, there are many pairs of equal angles – use color!
Angles and Lines • Corresponding angles
Angles and Lines • Alternate interior angles
Angles and Lines • Alternate exterior angles
Angles and Lines TASKS • Identify perpendicular and parallel lines • Find the slope of a line based on the slope of a line that is parallel or perpendicular to • Find missing angles’ sizes where parallel lines are crossed by a transversal THIRD PROBLEM SET
Work on the rest until break • FOURTH PROBLEM SET • FIFTH PROBLEM SET • SIXTH PROBLEM SET
Check-out some of the links… • Nursing • Cars, trucks • Woods • Cooking • Army • Machine tools • History • Animal care • Driving (mudding) • Photography • Accounting • Marketing • Economics • Architecture • Gaming, media • Coaching • Helping kids • (Drawing)
Add to today's check-in… • Write 5 photo ideas for your project (Places you could go to take photos relevant to your interests) (Particular subjects for the photos themselves)
Today's tunes • Apocalyptica • Beethoven • Jack Johnson – Cookie Jar • JakeWob – Starry-eyed • On the Pipe Five – Candle Wax • Fake it