So sorry this post is late! What a crazy week.
Wednesday was a testing day, so class was very limited. We started our Polygon/Proof/Algebra unit with a quick investigation of the Polygon Sum Theorem (C 30 on p 263). The notes were helpful, but are not attached below. Please get from a friend. (It was basically a teacher-led investigation.) Short version: the sum of the interior angles in any polygon is just the sum of the angles of all the triangles that can be sketched with diagonals from one vertex. We did triangle through hexagon to discover that there are 2 less triangles than there are sides in the polygon, so the sum of the angles is 180(n-2) for a polygon with n sides.
This is used to do the homework #13: p 264-5: 1-9, 12-13. 12 does not need a sketch. 3-9 need to show what numbers you put in the calculator to get your answer. Watch out for linear pairs, vertical angles, and the new conjecture above.
Please get your make-up tests done as soon as possible. Read your course agreement!!! It is your responsibility.
Longer classes got an exposure to the Law of Cosines and some practice with the slope formula: finding the slopes of the sides of a quadrilateral to determine if it is a parallelogram and/or a rectangle.
Wednesday was a testing day, so class was very limited. We started our Polygon/Proof/Algebra unit with a quick investigation of the Polygon Sum Theorem (C 30 on p 263). The notes were helpful, but are not attached below. Please get from a friend. (It was basically a teacher-led investigation.) Short version: the sum of the interior angles in any polygon is just the sum of the angles of all the triangles that can be sketched with diagonals from one vertex. We did triangle through hexagon to discover that there are 2 less triangles than there are sides in the polygon, so the sum of the angles is 180(n-2) for a polygon with n sides.
This is used to do the homework #13: p 264-5: 1-9, 12-13. 12 does not need a sketch. 3-9 need to show what numbers you put in the calculator to get your answer. Watch out for linear pairs, vertical angles, and the new conjecture above.
Please get your make-up tests done as soon as possible. Read your course agreement!!! It is your responsibility.
Longer classes got an exposure to the Law of Cosines and some practice with the slope formula: finding the slopes of the sides of a quadrilateral to determine if it is a parallelogram and/or a rectangle.