Took assessment on parallel and perpendicular lines. Here are the practice test SOLUTIONS
Homework
watch and take notes on this video: link
Warm up was a logical puzzle dealing with nonsense words. Passed back assessments and briefly discussed in small groups. Looked back at our first proof and observed that its result was a 'conditional statement' and we then rearranged it to form its converse, inverse, and contrapositive. Did the same with another statement dealing with perpendicular lines, and this example had a converse which was also true. This allowed us to rewrite the two (the statement and the converse) as a single 'biconditional statement' using the connector "if and only if."
Then looked at angle relationships formed by a transversal. Did a short Sudoku-style puzzle placing angle labels to match certain criteria. Then wrote a paragraph proof for why alternate interior angles are congruent, using the Corresponding Angles Postulate, The Vertical Angle Theorem, and the Transitive Property.
Notes from board
Homework
p. 87 #1-7
next assessment is Tuesday 9/25 or Weds 9/26
Resources
angle relationships in hw: corresponding, alternate interior, same side interior: link 1 link 2
corresponding angles and algebra: link
alternate interior angles and algebra: link
Warm up was to identify angle pairs formed by a transversal. Went over homework, then wrote another paragraph proof, this time for alternate exterior angles' congruence as well as for same-side interior angles' supplementary nature. Then constructed parallel lines using compass and straight edge (here is the method). Looked at the corresponding angles postulate again, which we rewrote into a converse (which was true) and then combined it to form the biconditional. Used this fact that lines are parallel if and only if corresponding angles are congruent to prove lines parallel for the first time.
Notes from board
Homework
p. 36 #28-32
p. 87 #12-16
assessment is Tuesday or Wednesday
Resources
writing a converse, inverse, and contrapositive: link
Proving lines parallel: link