Wrapped up triangle unit with a lesson on exterior angle theorem and converse of the isosceles triangle theorem, as well as practicing proofs.
Notes from board
Homework
take notes on this video: direct link [Also! A QUIZLET with these definitions! link]
Learned about polygons, especially their angle sum which follows a certain pattern based on the number of sides. For regular polygons (regular meaning sides are the same length and angles are all congruent) this means you can find the size of each angle. Also learned that the sum of the exterior angles of any polygon is always 360°.
Then focused on quadrilaterals, learning all the different categories and how they relate. Practiced identifying quadrilaterals and choosing the best name for each using Kahoot. Then constructed a square and rectangle inscribed in a circle, then constructed a rhombus. (Square construction steps, rhombus construction video)
Notes from board
Homework
next assessment: Monday
watch and take notes on this NEW video: link
Talked about squares and their relationships to rectangles and rhombuses in partners, and looked at applications of quads and polygons in animation and a pure math open, unsolved issue called the Jordan Curve Problem. Began looking at quadrilaterals on the coordinate plane, including finding their area and determining what kind of quadrilateral 4 given points will create based on slope and distance. Finally, practiced applying properties of quadrilaterals using the skills from the video above.
Notes from board
Blank copy of handout (Solutions to Front)
Homework
p. 215 #9, 11, 12
p. 220 #18, 20, 21
(WORKED OUT SOLUTIONS)
Resources
angles of a parallelogram: link starts at 5mins
finding side lengths of a parallelogram: link starts at 3min
diagonals of a parallelogram: link starts at 8min
diagonals of a rectangle: link
angles within a rectangle: link starts at 6min
angles of a rhombus: link
Resources for assessment review
using congruence statements to determine values: link
recognizing which criteria is shown and writing a congruence statement: LINK