Big ideas for block 8: What does a good sketch look like? How can a sketch help me detect a bad definition? Attention to detail is needed in order to successfully apply algebra to geometric sketches. The midpoint formula is connected to the geometric idea of midpoint of a segment.
We practiced applying the midpoint formula and shared different approaches to p 32: 4 on homework, adding the rectangle on problem 8.
HW #5 had some challenging problems as well as some previews of important content. We spent a good amount of time going over this homework and correcting our mistakes.
Together we did the definition writing activity from the textbook in section 2.3 (pp 42-45 of new book). This led us to a bad definition of parallel lines: lines that never meet are parallel. No... you must include the phrase "on the same plane". Make sure you can use all the new notations in the sketches and labels on p 43 for parallel and perpendicular and naming lines with one lower case letter. The definition of skew lines is on this page; sketch is on the board in class. The results of the activity are attached below as well.
We also did several algebra problems based on the definition and sketches of segment addition and angle addition. (attached below)
A grade was taken over HW #5 (4 pts) and HW #4 quizzes were returned. We shared our partner-written definitions for the angles on pp 49-50 and came to consensus on "linear pairs" and "vertical angles". These are attached below to add to geometric truth later.
HW #6 - pp 39-40:37-40,42, pp 47-48: 4-6, 9-13, 15-17, 19-20. Write definitions and sketches for parallel lines, perpendicular lines, and skew lines (p 43 resource).
Quiz of 40 pts on Friday, Sept 7 or Monday, Sept 10. Topics and review will be handed out on Tues-Wed.