Instructor: 
 | 
  
Mr. Zia Hydari 
 | 
 
Attendance: 
 | 
  
AbdulRafay, Sohaib, Abiha, Abdul
  Qadir, Adeel, Rami, Kamal 
 | 
 
Handout: 
 | 
  |
Problems Solved in Class: 
 | 
  
Problems illustrating the
  distributive property 
 | 
 
Concepts: 
 | 
  
Operators, distributive property 
 | 
 
Student Difficulties: 
 | 
  
Using variables to prove
  properties e.g. if the operator “@” is defined as: 
a @ b = 2a + 2b  
and I asked students to prove that
  “@” is commutative, the students used specific numbers to create examples but
  did not use variables to construct a general proof. 
 | 
 
Homework: 
 | 
  
·        
  Read
  Section 1.1, 1.2, and 1.3 
·        
  Watch
  all of the videos for Section 1.1, 1.2, and 1.3 from https://www.artofproblemsolving.com/videos/prealgebra 
·        
  If
  you need more help, please watch the following videos and work through the
  online exercises at: 
·        
  Solve
  all of the exercises and problems from Section 1.1, 1.2, and 1.3 
·        
  Solve
  problem 1.71 on page 51. Then solve these additional items: 
1.    
  Does
  multiplication distribute over “@”?  
2.    
  Does
  addition distribute over “@”? 
3.    
  Does
  “@” distribute over addition? 
4.    
  Does
  “@” distribute over multiplication? 
HINT: First, try to solve on your
  own; then use the hint below. Recall that problem 1.71 in the book defines the
  operator “@” as: 
 a @ b = 2a + 2b 
Part 1 asks if the following is
  true: a ( b @ c) = ab @ ac 
Part 2 asks if the following is
  true:  a + (b @ c) = (a + b) @ (a +
  c) 
Part 3 asks if the following is
  true: a @ (b + c) = (a @ b) + (a @ c) 
Part 4 asks if the following is
  true: a @ bc = (a @ b) (a @ c) 
 | 
 
Notes: 
 | 
  
Monday, April 18, 2016
Division M1 session on April 17, 2016
Division M1 session on April 10, 2016
| 
   
Instructor: 
 | 
  
   
Mr. Zia Hydari 
 | 
 
| 
   
Attendance: 
 | 
  
   
AbdulRafay, Sohaib, Abiha 
(Abdul Qadir?, Adeel?, Rami?,
  Kamal?) 
 | 
 
| 
   
Classwork: 
 | 
  
   
Problems illustrating the
  distributive property 
 | 
 
| 
   
Homework: 
 | 
  
   
All problems from Section 1.3 
 | 
 
Division M1 session on March 20, 2016
| 
   
Instructor: 
 | 
  
   
Mr. Isa Hafalir 
 | 
 
| 
   
Attendance: 
 | 
  
   
AbdulRafay, Abiha, Rami 
 | 
 
| 
   
Classwork and Homework 
 | 
  
   
In the first half, we did Pre-Algebra book Section 1.3 and exercises 1.3.5 to 1.3.11 were assigned as
  homework.  
In the second half, we went over
  Set 10 Olympiad 5 and Set 11 Olympiad 1. 
5 questions in Set 11 Olympiad 2
  were assigned as homework. 
 | 
 
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