Tuesday, 24 January 2017

Monday, Jan 23

Hi All —

In class today we worked on equation solving and re-arranging formulas (the textbook says that, for example solving d = rt for r to get r = d / t is called "solving literal equations"). Also students are investigating and thinking about the properties of inequalities.

Today's assignment is 4.3 Go, 4.4 Task + Ready as well as a problem solving sheet (5 challenge problems, unrelated to unit).

Monday, Jan 23

Hi All —

In class today we reviewed the definitions and properties of quadrilaterals, completed an example proof and had time for students to prepare for their test tomorrow. On the test they will answer a set of True/False questions, a set of "find the angle or measure"  questions and be given a list of properties of shapes from which to select two statements to prove.

Here is an example from the board of a few proofs which were done during class.

Proof #1 — Demonstrate that a rhombus is a parallelogram

Inline image 1

Proof #2: The base angles of an isosceles trapezoid are congruent. This proof makes use of another property of parallelograms which is that opposite sides are congruent. Also the last statement should be supported by a reason.

Inline image 2

Tonight's assignment is to prepare for the ch. 5 test.

Thursday, 19 January 2017

Wednesday,

Hi All —

Today in class we spent time working on logarithm problems in pairs. The assignment for Thursday is to complete the practice problems. I gave students class time to work together on the problems.

Assignment: complete the review problems packet from today.

A few suggested videos on logarithms from Thinkwell
* https://www.youtube.com/watch?v=MSsginPd5ZA
* https://www.youtube.com/watch?v=23el04fJ8Ww

Also, my wife and I are about to have a baby… we spent our snow days sledding with our 2 year old, Alma, and doing house projects to get ready for baby #2 who is due one week from today. I will be on Family Leave for a little more than 2 weeks from the time my wife goes into labor and I will let you know when I get a confirmation from the substitute who will be covering for me. I hope you all stayed warm and safe on roads!

Wednesday, 18 January 2017

Wed. Jan 18th

Hi All —

in class today I gave students a packet to help them review vocabulary, definitions and theorems. Students spent class time today sketching definitions, completing theorems and working on a few proofs.

Assignment: Complete the packet (fill in blanks/sketch vocab words), write a proof of 3 properties (your choice) from the packet, complete 5.5 and 5.6 worksheets at end of packet.

Also, my wife and I are about to have a baby… we spent our snow days sledding with our 2 year old, Alma, and doing house projects to get ready for baby #2 who is due one week from today. I will be on Family Leave for a little more than 2 weeks from the time my wife goes into labor and I will let you know when I get a confirmation from the substitute who will be covering for me. I hope you all stayed warm and safe on roads.

Wednesday, Jan 18th

Hi All —

In class today we worked on section 4.2. Tonight's assignment is to complete 4.2 Task (1-10). My wife and I spent our snow days sledding with our 2 year old, Alma, and doing house projects to get ready for baby #2 who is due one week from today. I will be on Family Leave for a little more than 2 weeks from the time my wife goes into labor and I will let you know when I get a confirmation from the substitute who will be covering for me. I hope you all stayed warm and safe on roads.

Thursday, 5 January 2017

Tuesday/Wednesday Jan 3/4

Welcome back! It is nice to see everyone back at school after our abrupt start to vacation. I got to work on potty-training my 2 year old daughter 🙂 and spent a lot of nice time with friends and family. I hope your family had a good winter vacation.

In class yesterday and today we picked up where we left off from before break with our work to understand the properties of various polygons and also practice the habit of investigating geometric properties. This involves creating a precise definition, and then creating various examples which fit our definition and looking for similarities and interesting relationships. Once we discover them the task because to explain why and create geometric proofs. The work builds on students knowledge of triangle congruence, constructions and angle relationships.

Yesterday's assignment (was due today)

(1) Complete investigations and conjectures from 5.3 p. 266-269

(2) Complete 5.3 on p. 269: 1-9, 13, 16, 17

Today's assignment for 3rd Period

(1) Complete the investigation steps and 3 conjectures on pp. 273-275
(2) 5.4 on p. 275: 1-9, 11, 12, 15, 16

Today's assignment for 5th Period
(1) Prove the 3 properties of triangle midsegments starting by assuming only the definition of a midsegment.

Tuesday and Wednesday, Jan 3/4

In class yesterday students had time to work on their video projects and we spent some time reviewing topics from before break. Much of what we have worked on in Module 3 is related to functions (using mathematical vocabulary/notation, and comparing the key features of say a graph to the real world context).

Yesterday's assignment was
* 3.7 "TF or not TF" 1-15, Ready (2, 4, 5), Go (15, 16)

Today's assignment is to try to solve the Two Ferries Problem (below)

Ferry A and Ferry B are on opposite sides of a wide river. A has a more powerful motor than B and is able to travel at a faster pace than B. Both ferries leave their dock at the same time and travel at a constant pace towards the opposite side of the river, when they first cross paths they are 720 yards from B's side of the river.

They each reach the opposite side (at different times), turn around immediately and head back towards their original location. While traveling back towards their original dock they cross paths again. This time they cross 400 yards from A's original side of the river.

Using only this information it is possible to determine how wide the river is, so how wide is it?

I hope you all had a good vacation and it is nice to see everyone back at school!