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
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