Have a Happy Valentine's Day!
Students turned in their 2 review sheets and completed their test on special segments in triangles.
Have a Happy Valentine's Day! Students had the opportunity to check their work from the WS Review with the Answer Key. We went over a few questions together as a class. At the end students had time to play a 7 question review using Kahoot.it.
HW: Turn in any missing work from 4.6 - 5.1. Test tomorrow over special segments in a triangle. Students will be able to 1) identify and apply medians (segment from the vertex to the midpoint of the opposite side) of a triangle 2) identify and apply altitudes (segment from the vertex perpendicular to the opposite side) of a triangle3) identify and apply perpendicular bisectors (cuts the side of a triangle into 2 equal parts and forms a right angle) of a triangle 4) identify and apply angle bisectors of a triangle 5) apply the angle bisector theorem (a point on the angle bisector is equidistant from the sides of the angle) 6) be able to identify centroid (point of concurrency of the 3 medians; divides the segment into a 2:1 ratio)and the circumcenter (point of concurrency of the 3 perpendicular bisectors; it is equidistant from the 3 vertices of the triangle.) of a triangle and apply their special characteristics Bonus material: the orthocenter is the point of concurrency of the 3 altitudes of a triangleThe incenter is the point of concurrency of the 3 angle bisectors of a triangle. The incenter is equidistant from the 3 sides of the triangle. Students received their quizzes back from yesterday. We went over every problem on the quiz. We also completed our WS 4.6 Review (11 - end). Students were given another review sheet.
HW: Complete WS Special Segments in a Triangle Review. Test is this Friday, February 12th. Students completed the 2 question warm-up on angle bisectors and perpendicular bisectors. We discussed the set up and solutions. Then we went over yesterday's homework (1 - 10) and then students had the rest of class (about 20 minutes) for their quiz.
HW: Complete and turn in any of the missing work and complete the review sheet from yesterday. Test will be this Friday, 2/12. Students completed a warm-up on the finding the different segments in a triangle given 1 side and a couple of its midsegments. We also went over the entire WS 5.1. This was collected. Students were given a worksheet that contained a couple midsegment problems using coordinates. We went over the first one in class.
HW: Complete the WS Midsegment using coordinates and WS 4.6 Review (for now, skip the Bermuda Triangle problem set on the back). Quiz tomorrow over median, altitudes, perpendicular bisectors and midsegments. Students completed an in class investigation where they measured each side of the given triangle and then measured the midsegment they constructed. They found that the midsegment is half of the length of its parallel side. We completed our short notes sheet.
HW: Complete WS Midsegment of a Triangle (both sides) Students were given the time in class to complete WS 5.6 A and B.
HW: None if these were finished in class. Students constructed a triangle and then used paper folding to construct its 3 perpendicular bisectors. Students found the for acute triangles the point of concurrency was inside the triangle, a right triangle had its point (of concurrency) on the hypotenuse, while the obtuse triangle had its point (of concurrency) outside the triangle. We used GeoGebra to show that the point of concurrency, called the orthocenter, is equidistant from the 3 vertices of a triangle. From another paper folding activity, we say that a point on the perpendicular bisector is equidistant from the endpoints of the segment. We completed our 5.6 notes.
HW: Complete the attached WS 5.6 side A. Student were given a piece of patty paper and asked to create a triangle. We showed how to construct the midpoints of each side by folding (matched up 2 of the vertices). Then students constructed the medians and verified the 2:1 ratio on the parts of the median. Students were given the rest of class to complete the attached worksheets in the 4.6 packet. This will be collected tomorrow.
HW: WS 4.6 and WS Medians & Altitudes in the 4.6 packet should be completed. Students received their tests back from Friday. We went over common mistakes. We were given a diagram of a triangle with 3 medians drawn in and students were asked for their observations. We completed our notes from section 4.6 on medians and altitudes.
HW: Complete the attached WS 4.6 |
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