Yes, it was a chaotic day on Friday, March 13.
Those of you living in the universe of the certain are learning some lessons about uncertainty!
As far as AMI assignments, there is a generic review for standardized testing for AMI for Pre-AP Geometry.
HOWEVER, if the timing falls around spring break and after our unit test, there will be hard-copy (you have at home) textbook assignments over area (Chapter 8). I will be corresponding by REMIND, so make sure you have joined my Pre-AP Geometry group: text to 81010 the message @msbogart
So no need for home internet... just remind messages and hard copy textbook. I will even send answers and notes by remind so that you only need texting.
Bottom line, we proceeded on with our review of the unit over quadrilateral definitions and properties, polygon sum theorems, proofs of quad properties, and algebraic "proofs" with slope, distance, and midpoint.
The beginning of the lesson: old textbook p 167:10-11. There were 2 quadrilaterals for which we found slopes of sides on the first and slopes of diagonals on the second. On both we found midpoints of the diagonals. #10 - the slopes were 1/6, -6, 1/6, -6, allowing us to know that the quadrilateral is a rectangle (opposite slopes are the same, adjacent slopes are negative reciprocals so perpendicular, so rectangle). If you check the lengths of two adjacent sides with distance formula, you learn that adjacent sides are not equal in length, so not a square.
On the other quadrilateral, the diagonals had slopes of 1 and -1, so perpendicular. They shared a midpoint, so the diagonals are perpendicular bisectors of each other, so a rhombus. The lengths of the diagonals (distance formula) are different, so not a square (which has congruent diagonals that perpendicular bisect each other).
You should have all of your conjectures caught up: 29, 31-49, omitting 38 and 45, and 52. It is OK if your numbers match the conjectures from the old textbook in the classroom... the numbers are not important. The geometric truth is attached below. You must have yours caught up in your Geometric Truth with good labeled sketches.
We went over the homework and answered questions. I did not take grades due to time issues. Quizzes were returned in all but 3rd period. Those will be returned on Tuesday, or you can come by Monday during A&E to get it.
We took time to look at the sketches on the back boards and practice saying what the sketches say.... what are the properties of each type of quadrilateral.
Then we practiced Always/Sometimes/Never and "What Must I be? What Could I be?" for properties of quadrilaterals.
AMI #1 for all classes is from the textbook: p 312:14, p 269:1-4, 15a&b, p 265:13-14 AND the worksheet that was handed out on A day classes. B day: if you did not get the worksheet, it is the first download below. These textbook problems are the same ones listed on the worksheet.
On review sheet, I have a hint for problems 5-6. Re-sketch to look like a rhombus for #5, a square for #6.
Study guide for test is attached.
If and when we return to school: one review block, then test.
Those of you living in the universe of the certain are learning some lessons about uncertainty!
As far as AMI assignments, there is a generic review for standardized testing for AMI for Pre-AP Geometry.
HOWEVER, if the timing falls around spring break and after our unit test, there will be hard-copy (you have at home) textbook assignments over area (Chapter 8). I will be corresponding by REMIND, so make sure you have joined my Pre-AP Geometry group: text to 81010 the message @msbogart
So no need for home internet... just remind messages and hard copy textbook. I will even send answers and notes by remind so that you only need texting.
Bottom line, we proceeded on with our review of the unit over quadrilateral definitions and properties, polygon sum theorems, proofs of quad properties, and algebraic "proofs" with slope, distance, and midpoint.
The beginning of the lesson: old textbook p 167:10-11. There were 2 quadrilaterals for which we found slopes of sides on the first and slopes of diagonals on the second. On both we found midpoints of the diagonals. #10 - the slopes were 1/6, -6, 1/6, -6, allowing us to know that the quadrilateral is a rectangle (opposite slopes are the same, adjacent slopes are negative reciprocals so perpendicular, so rectangle). If you check the lengths of two adjacent sides with distance formula, you learn that adjacent sides are not equal in length, so not a square.
On the other quadrilateral, the diagonals had slopes of 1 and -1, so perpendicular. They shared a midpoint, so the diagonals are perpendicular bisectors of each other, so a rhombus. The lengths of the diagonals (distance formula) are different, so not a square (which has congruent diagonals that perpendicular bisect each other).
You should have all of your conjectures caught up: 29, 31-49, omitting 38 and 45, and 52. It is OK if your numbers match the conjectures from the old textbook in the classroom... the numbers are not important. The geometric truth is attached below. You must have yours caught up in your Geometric Truth with good labeled sketches.
We went over the homework and answered questions. I did not take grades due to time issues. Quizzes were returned in all but 3rd period. Those will be returned on Tuesday, or you can come by Monday during A&E to get it.
We took time to look at the sketches on the back boards and practice saying what the sketches say.... what are the properties of each type of quadrilateral.
Then we practiced Always/Sometimes/Never and "What Must I be? What Could I be?" for properties of quadrilaterals.
AMI #1 for all classes is from the textbook: p 312:14, p 269:1-4, 15a&b, p 265:13-14 AND the worksheet that was handed out on A day classes. B day: if you did not get the worksheet, it is the first download below. These textbook problems are the same ones listed on the worksheet.
On review sheet, I have a hint for problems 5-6. Re-sketch to look like a rhombus for #5, a square for #6.
Study guide for test is attached.
If and when we return to school: one review block, then test.
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polygon_unit_study_guide.pdf |