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Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles Agenda for today (7/22)

Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

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Page 1: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Hour oneFeedbackReview

ANGLE

Hour twoANGLES and

LINES

Project intro Hour three

Check-insBearing angles

Agenda for today (7/22)

Page 2: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some themes…River, state-to-state travel, music, sleep

Persistent math issues

Persistent test issues (anxiety, etc.)

Issues with teachers

About you (9:00 class)

Page 3: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some themes…River, international travel, music

Persistent math issues

Persistent test issues

Issues with geometry

About you (1:00 class)

Page 4: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Can I use an audio recorder?

Line: what is formula for slope?

Line: how do you solve for b? (Is there a formula for b?)

Line: what about slope to the left?

Your day one questions

Page 5: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Plane: treat the scale as the amount between each hash mark (edge of each box)

Why not always use a scale of 1?

What can I do if I get done early?What kind of dog do you have?

More day one questions

Page 6: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

How many (line) segments are in a pyramid?

What is parallax?

Line: Is the y-intercept a point?

Are “axes” different from “axis”?

More day one questions

Page 7: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Do you actually know the answers to the problem sets?

Can we use our notes on the tests?

Will we do proofs? (“please no”)

More day one questions

Page 8: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

“I work better listening to music”

“We had trouble using the order of operations” (exponents mentioned by another)

How old are you?

More day one questions

Page 9: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Why do you teach math?

Can you determine how big the sun is using a coordinate plane?

What’s the best way to remember all this stuff?

More day one questions

Page 10: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

What have we covered, so far?

Plane Point

Line

Angle

Flat (2-D) Shapes

Solids (3-D)

Page 11: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Having trouble with slope?Try using the slope formula:

(Complete the FIRST PROBLEM SET)

Line (continued)

Page 12: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Is made by two lines, rays, or segments that meet (at the vertex)

Has size (measured in degrees)Is described using three points

New Topic: Angle

Page 13: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some exact sizes are named:Right (90o)

Straight (180o)

Angle (continued)

Page 14: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

'See any right angles?

Page 15: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some ranges of sizes are named:Acute (between 0o and 90o)

Obtuse (between 90o and 180o)

Angle (continued)

Page 16: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some combinations are named:Adjacent (two that share a ray)

Opposite (two that are across an intersection of lines)

Angle (continued)

Page 17: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

More combinations are named:Complementary (add up to 90o)

Supplementary (add up to 180o)

Angle (continued)

Page 18: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

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

(Complete the SECOND PROBLEM SET)

Angle TASKS

Page 19: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles
Page 20: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Some combinations are named:Perpendicular (meet at 90o)

Parallel (never meet, have same slope)

Topic: Angles and Lines

Page 21: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

A line that crosses or bridges two parallel lines is called a transversal

Angles and Lines

Page 22: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

'See any parallel lines?

Page 23: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Are these lines parallel?

Page 24: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

When a transversal crosses parallel lines, there are many pairs of equal angles

Angles and Lines

Page 25: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Corresponding angles

Angles and Lines

Page 26: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Alternate interior angles

Angles and Lines

Page 27: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Alternate exterior angles

Angles and Lines

Page 28: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Identify perpendicular and parallel lines

Find missing angles’ sizes where parallel lines are crossed by a transversal

(Complete the THIRD PROBLEM SET)

Angles and LinesTASKS

Page 29: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Poster Project (see link in image)

Page 30: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Point on a plane

Page 31: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles
Page 32: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Complete the FOURTH PROBLEM SET

Complete the FIFTH PROBLEM SET

Show me when you’re done and I will check today’s assignment

Fill-in your check-in sheet for today

For the rest of the time…

Page 33: Hour one Feedback Review ANGLE Hour two ANGLES and LINES Project intro Hour three Check-ins Bearing angles

Activity: Bearing anglesN38oW = “north 38 degrees west” N

S

EW