1A class: No journal, but instead a launch into points lines and planes, the building blocks of geometry. Understanding what these pieces are helps us name and form more complex objects, including triangles and other polygons. We then studied parallel lines and analyzed how to extract numerical information from them, and we noticed that parallel lines have equal slopes, which we can find algebraically.
1A Homework: p. 9: #3-33 (multiples of 3)
2B/3A/3B: No journal; homework was collected; a quick summary of points-lines-planes led into parallel and perpendicular definitions, as well as their coordinate/algebra connections. This idea of crossing at right angles combined with the idea of cutting something into congruent parts (bisecting) and the "perpendicular bisector" was investigated.
Homework: p. 304-305: # 12-14; 22-28
RESOURCES: Points Lines and Planes
Parallel Lines (Coordinates)
Perpendicular Lines (Coordinates)
Perpendicular Bisector
Tuesday/Wednesday
(1A Journal dealt with points lines and planes.) Instead of a journal, we did a short task on the perpendicular bisectors and how various lengths compared to each other. This task was collected, then discussed. We went over our homework on perpendicular lines and connected the work to our launching task. We then went through the playground task and found how the equation of a perpendicular line gives the set of all points equidistant from two end points.
Here are the slides from the board, notes taken during 1A.
We then moved on to discussing the various pairs of angles, which led to constructing the review-chart below. Here are the notes from the board.
Homework: p. 32: #15-33 (multiples of 3), 33-38, 44
HELP RESOURCES:
Adjacent Angles
Linear Pair
Vertical Angles
Complementary Angles
Supplementary Angles
Thursday/Friday
No journal today; we looked at an application problem where the perpendicular bisector was formed by two circles crossing on a map (points equidistant from both Paris and Rome) which found locations in Europe that were equidistant from both cities.
We reviewed the homework in detail, discussing supplementary, complementary, and vertical angle problems with algebra.
We then did some practice pages out the workbook to learn how to identify and work with angles and angle pairs.
HOMEWORK: p. 64: #1-21