Goal of this block was to finish "filling" our tool belt with our set of basic construction skills.
We recorded the following terms into geometric truth: segment bisector, perpendicular bisector, median, midsegment.
We also wrote up C-5 and C-6 from pp 148-9. The points on the perpendicular bisector are equidistant from the endpoints of a segment; any point on the perpendicular bisector of a segment is equidistant from its endpoints. Leading us to the circumscribed circle construction that we did on problem 7 of our homework. We then looked at the relationship between problems 7 and 8 on HW #12... what happens if the triangle is obtuse? Right? Connect median and midsegment definitions to actual construction. etc
Then we investigated the shorted distance from a point to a line and figured out how to construct the perpendicular from a point to an infinite line. We practiced in our notes. Then we turned one of these constructions into a triangle, where the shortest distance is an altitude. We constructed 3 altitudes in an acute triangle. Then we figured out how to construct a perpendicular from a point on a line.
Our finale was to construct an angle bisector, a simple construction that we also viewed on mathopenref.
In most classes, we also sketched out how to construct a square by questioning.
A grade was taken on hW #12, and #11 if not already done.
Attached is information about the geometric truth write-ups.
If you need a link to mathopenref constructions, look at your Pre-AP Geometry, Look for Resources. The first link is to the constructions. The third link is to condensed lessons about the current content.
Hw #13 - p 154:2-5, p 158:1-5
Quiz next week on Wed-Thurs, even in 6th period.
We recorded the following terms into geometric truth: segment bisector, perpendicular bisector, median, midsegment.
We also wrote up C-5 and C-6 from pp 148-9. The points on the perpendicular bisector are equidistant from the endpoints of a segment; any point on the perpendicular bisector of a segment is equidistant from its endpoints. Leading us to the circumscribed circle construction that we did on problem 7 of our homework. We then looked at the relationship between problems 7 and 8 on HW #12... what happens if the triangle is obtuse? Right? Connect median and midsegment definitions to actual construction. etc
Then we investigated the shorted distance from a point to a line and figured out how to construct the perpendicular from a point to an infinite line. We practiced in our notes. Then we turned one of these constructions into a triangle, where the shortest distance is an altitude. We constructed 3 altitudes in an acute triangle. Then we figured out how to construct a perpendicular from a point on a line.
Our finale was to construct an angle bisector, a simple construction that we also viewed on mathopenref.
In most classes, we also sketched out how to construct a square by questioning.
A grade was taken on hW #12, and #11 if not already done.
Attached is information about the geometric truth write-ups.
If you need a link to mathopenref constructions, look at your Pre-AP Geometry, Look for Resources. The first link is to the constructions. The third link is to condensed lessons about the current content.
Hw #13 - p 154:2-5, p 158:1-5
Quiz next week on Wed-Thurs, even in 6th period.
add_to_geometric_truth.docx |