Information Tech

Web 2.0 Assignment

noreply@blogger.com (Jyoti Gupta) — Tue, 17 Apr 2007 11:07:00 +0000

A Blog
Online journal that's frequently updated by the person who created its .Is a quick way to publish a series of thoughts, lesson plans, assignments, opinion, writings, etc. Requires very little technology knowledge to use . Uses a news feed that can be subscribed to by the readers
Is an easy way to publish your podcast . Easy way to be in touch with your students and friends. I found it to useful during my practicum ..as some time my students were busy with their Band concert or their Basketball tournament they were able to see what is been taught in the class and based on the covered topic which assignment they are suppose to do.
Definitely I will be using Blog in future. As its very useful and convenient and it take hardly 10 minutes to keep updates about your teaching lesson plans and etc.

Library Thing
LibraryThing is personal cataloging application. Its interactive . I find its useful for the person who loves to read books .We can find about LibraryThing collections that are similar to ours, and get recommendations for new books to read .
I am not sure I will be using this feature.

Podcast
Oh Podcast...It was not easy job for me. To download so many software ...audacity, Ourmedia, feedburner, become member of archive... just for a single Podcast..
But any way once I have done Podcast I really enjoyed it. I am not sure if I will be using this feature anymore because I found this feature more useful for a person who wants to promote his business.

Wiki space
A great place for educators.The best part about wiki, you don't need to install a new software for anything or upload any files to your computer. Don't need to know HTML or any other type of programming language. You just need to type into your browser.
I will like to use Wiki in future as I personally find it useful . Create a group on Wiki and share, and discuss the latest update . Quite useful feature..

Overall a very interesting assignment or I can say that the best assignment . I enjoyed each and every moment which I spend on this assignment.

My Podcast

noreply@blogger.com (Jyoti Gupta) — Thu, 12 Apr 2007 12:39:00 +0000

This is my first podcast. I was just trying to figure our how to do podcast.
Wow learn something new !!!!

MP3 File Link

Last day at Acadia

noreply@blogger.com (Jyoti Gupta) — Fri, 23 Mar 2007 16:47:00 +0000

Guys !!! so today is the last day of my practicum. No studies on the last day...how about sharing some good moments ..watching movie all together on SMART BOARD . We will be watching the movie ARMAGEDDON and enjoying timbits.

It was really pleasure teaching such wonderful kids, I am going to miss you all. Taking some good moments and good experiences with me, which is going to be helpful for making me a successful teacher. Wish you good luck.

Have a wonderful spring break.

Multiplying Polynomials

noreply@blogger.com (Jyoti Gupta) — Thu, 22 Mar 2007 21:06:00 +0000

Working on the given worksheet

Assignment 45

noreply@blogger.com (Jyoti Gupta) — Wed, 21 Mar 2007 16:42:00 +0000

Correcting the worksheet of mulitplying polynomial and working on inclass assignment 45.Discussing the problems and concept again of powers and exponents.

Multiply Polynomials

noreply@blogger.com (Jyoti Gupta) — Tue, 20 Mar 2007 20:58:00 +0000

Marking assignment 44 and working on the given worksheet

Use the distributive property to multiply the following polynomial

Multiplying Polynomial

noreply@blogger.com (Jyoti Gupta) — Mon, 19 Mar 2007 16:13:00 +0000

Finding the product of two monomial and a polynomial We will be learning how to find the product of the two monomial and a polynomial. For this first we will be working on few examples to revise the concepts that we have learnt in grade 8th

Expand

3(x²+3x-5) =
(Simply distributive property multiply)
3 by x²
3 by 3x
3 by -5
= 3x² + 9x - 15

Expand

x(x² -10x + 25) =
(Simply distributive property again multiply)
x by x²
x by -10x
x by 25
= x³ -10x² + 25x

Expand

xy(3x + y) = xy (3x) + xy(y)
= 3x²y + xy²

Expand

(x +1)(x+3) to solve two polynomial we always use FOIL method. FOIL stands for
F -(First # First#)
O -(outside# outside#)
I -(inside# inside#)
L -(last# last#)
so
we will multiply
x by x = x²
x by 3 = 3x
+1 by x = 1x
+1 by 3 = 3
Collect the like terms
= x² + 4x + 3

{x(x+3) +1(x+3) }
{ open the bracket, collect the like terms and we get the result}

ASSIGNMENT 44

Exercise 43

noreply@blogger.com (Jyoti Gupta) — Fri, 16 Mar 2007 20:51:00 +0000

We will be working on Exercise 43 which is based on Division of a polynomial by a monomial .
After that We will be starting a worksheet based on division of the polynomial.

Factoring & Dividing Expression

noreply@blogger.com (Jyoti Gupta) — Fri, 16 Mar 2007 00:28:00 +0000

We know how to multiply a polynomial by a monomial such as

3(2x +1) = 6x + 3

by distributing the 3 over 2x and 1

Factoring is really the reverse of the distributive law.

A polynomial like 8y-10 can be written as

8y - 10 = 2(4y - 5)

since 2 is the greatest common factor of 8y and -10.

Example

Find the greatest common factor for the sets of polynomial below:

2x³ , 4x⁴, 8x²
2x³ = 2.x.x.x
4x⁴ = 2.2.x.x.x.x
8x² = 2.2.2.x.x

The greatest common factor for these expression is 2x²

Find the greatest common factor of
3xy³, 9x³y⁴, 27 x²y² ?????

Example
24m³ + 6m² - 12m
= 2.2.2.3.m.m.m + 2.3.m.m - 2.2.3.m
= 2.3.m (2.2.m.m + m - 2.m)
= 6m(4m² + m - 2)

Example
Divide the following Polynomials

6xy - 3yz / 3y = 3y(2x - z)/ 3y
= (2x - z)

Find
60x⁷-36x⁵ + 12x³ /-12x³ =

Assignments
Exercise 42
Worksheet based on factors

Quiz#3

noreply@blogger.com (Jyoti Gupta) — Thu, 15 Mar 2007 00:53:00 +0000

Quiz # 3

1) Find the value of x (.2)^x= .0016
a) 2 b) 4 c) 3 d) None of these

2) Evaluate (1.75)x² /x² =
a) (1.75)x² b) (1.75)x^-2 c) 1.75 d) (1.75)x

3) Write as a single positive power (-1/3)^-6
a) (-3)⁶ b) (1/3)⁶ c) (-3)^-6d) 3^-6

Quiz#2

noreply@blogger.com (Jyoti Gupta) — Wed, 14 Mar 2007 01:01:00 +0000

Quiz # 2

1) The greatest common factor of 3xy² , 9x³y⁴, 27x²y2
a) 3xy² b) 9x³y⁴ c) 27x²y² d) None of these

2) Simplify (3x²)(-4x^-2)
a) -12x⁰ b) -12x^-4 c) 12 d) None of these

3) Simplify n^-4 / n^-6
a) n² b) n^-10 c) 1/n² d) None of these

The answer for Quiz# 1 is
1) b 2) b 3) a

Quiz of the day

noreply@blogger.com (Jyoti Gupta) — Tue, 13 Mar 2007 00:34:00 +0000

Quiz # 1

1) Calculate 2² + 2⁴
a) 68 b) 20 c) 64 d) None of these

2) Evaluate for x= -2 and y=3
x²/2 + y²/3
a) 10 b) 5 c) -5 d) 10

3) Write using only one exponent. ((-y)³)⁴
a) (-y)¹²b) y¹² c) (-y)⁷ d) y⁷

Worksheet

noreply@blogger.com (Jyoti Gupta) — Mon, 12 Mar 2007 02:03:00 +0000

Assignment 1

Again Revision of Power & Exponents

noreply@blogger.com (Jyoti Gupta) — Sat, 10 Mar 2007 02:34:00 +0000

We had a quiz on Power & Exponents but since only 70% students performed well so for the entire last week we just worked on different worksheet based on powers to get better result.
There are three worksheet which is handed to the students in the week(Exponents, Exponents Review ,Factoring). Please do finsh all of them by Sunday(March 11'07).

Factoring Polynomials

noreply@blogger.com (Jyoti Gupta) — Wed, 07 Mar 2007 04:57:00 +0000

Common Factoring

When working with an algebraic expression we
will often be required to list the factors of the expression. If the expression is bionomial or larger, we always look for the Greatest Common Factor(GCF) in all the terms of the expression.
Examples :

1. 3ab - 5ac = a(3b - 5c)
(The 'a' is the GCF of both terms in this expression.)

2. 10x²y - 15 xy²
=(2)(5)(x)(x)(y) -(3)(5)(x)(y)(y)
= 5xy(2x-3y)

3. 4x³z - 12 xz + 2z
= (2)(2)(x)(x)(x)(z)- (2)(2)(3)(x)(z) + (2)(z)
= 2z(2x²-6x+1)

Assignments
Assignments sheet is given in the class.

Origin and Evolution of Universe

noreply@blogger.com (Jyoti Gupta) — Sat, 03 Mar 2007 22:12:00 +0000

In today class we discuss about, what the various culture people think about how the universe was created before Big Bang theory . We talked about various different mythologies

Cultural Mythology
a)North American Indian
b)Inuit Mythology
c)Aztec Mythology
d)Roman and Greek Mythology

Constellation

Myth about the constellations
a)Navajo:Ursa Major
b)Hindu :Rishis

Assignment due in coming week
a)Create a new adventure for a tall tale character(s) which results in the character (s) being made into a constellation
b)Make a drawing to go with the story.

Worksheet

noreply@blogger.com (Jyoti Gupta) — Fri, 02 Mar 2007 02:07:00 +0000

We are working on various Powers and exponents worksheet so that concept should be clear and we can be prepare to face the factorials.Have Fun and try working on you worksheets.
Do revise all laws of exponents for Quiz on Friday.

Assignment
Finish your work till exercise 41
Three extra worksheet has been given , complete it.

Prepare for a new topic on Monday .

Quiz(Who is perfect in Power & Exponents)

noreply@blogger.com (Jyoti Gupta) — Tue, 27 Feb 2007 05:13:00 +0000

Learning Law of Exponents in a Different Way
In the Monday class we all played a game using the template of who wants to be millionaire where we revised all the terms and rules that we have learnt in powers and exponents so far.
I am interested in knowing the views of all students that do they find this type of exercise helps them learn/revise concept nicely. As well as this type of activity gives you opportunity to work in a team.
Do give your suggestions or idea how to improve this type of activity??

Homework

noreply@blogger.com (Jyoti Gupta) — Mon, 26 Feb 2007 03:29:00 +0000

For Monday quiz revise all the terms such as base,coefficient, exponent and laws of Powers and Exponents.

Dividing Power

noreply@blogger.com (Jyoti Gupta) — Fri, 23 Feb 2007 02:24:00 +0000

Attention:The students who went to campaign can take notes from here and if you have any problem we can meet tomorrow during lunch hours in Miss. Mcknight homeroom.
Please do inform me before lunch hours , if you are going to come.

Quotient Law

When dividing powers with the same bases you simply subtract the exponents.

x^a / x^b = x ^a-b a,b ЄN

Example

x⁶ / x³ =x^6-3
=x³

7³⁰ / 7² = 7^30-2
= 7²⁸

Power of a Quotient Law

A quotient raised to an exponent can be simplified by raising the numerator and denominator to the same exponent.

(x/y)^a = x^a/y^a aЄ N

Examples:

(5/x)² = (5/x)(5/x)
= 25/x²

Other Exponents

The Zero Exponents

Except for Zero(0), any base raised to the power of 0 simplifies to the number 1.

Example

(87x³)⁰ =(87)⁰ (x3)⁰ =(1)(1) =1

2x⁰ = (2)(1) = 2

The negative integer exponent

A negative exponent shows a regular power , except within the denominator of a fraction. If given a power with a negative exponent, flip the power to the opposite of the fraction line, and make exponent positive.
Example

4-² = (1/4)(1/4)
= 1/16

3^-3 =((1/3)(1/3)(1/3)
= 1/27

Assignment
Exercise 41

Exponent Laws

noreply@blogger.com (Jyoti Gupta) — Wed, 21 Feb 2007 04:22:00 +0000

Note:The students who were not able to attend the class due to their Pascal contest can take notes. If you have any problem understanding the notes feel free to contact me during recess hours or just write me mail regarding your query.

Product Law

x³ x²
x x x x x = x⁵

This example suggests a pattern.
x³ x² = x³⁺² = x⁵

When you multiply powers with like bases, you add the exponents.

x^m . xⁿ = x^m+n m,n Є N
Example:
2³ 2⁵ = 2³⁺⁵
= 2⁸
= 2 x^y 8 ( for calculator)
= 256

Power of a Power Law

(x³)² = x³ x³=x³⁺³ = x⁶
(x⁴)³ = x⁴ x⁴ x⁴ = x⁴⁺⁴⁺⁴ =x¹²

so
The example suggest the generalization

(x^m)ⁿ = x^{m n} =x^mn m,n Є N

Example:

(3²)⁷= 3¹⁴
= 3 x^y 14 (to calculate from calculator)
=4782969

Power of Product Law

(xy)² = (xy) (xy) = x²y²
(xy)³ = (xy) (xy) (xy) = x³y³

so
(xy)ⁿ = xⁿyⁿ nЄN

Example:

(2x)² = (2x)(2x)
= 4x²

Assignment

Exercise 40
Think about an activity where you see exponent law used.

Power and Exponents (First Class)

noreply@blogger.com (Jyoti Gupta) — Mon, 19 Feb 2007 23:26:00 +0000

x³
where
x -base
3 -exponent
x³ is the power and represents repeated multiplication.
x³ = x x x

x³ is said to be in exponential form.

Expanded form

x^y or y^x on calculator

Example

a) If x = -5 , what is the value of x³
so x³ = (-5)³
= (-5)(-5)(-5)
= -125

b) If x=2/3, what is the value of x²
so x² = (2/3)²
= (2/3)(2/3)
= 4/9

Things to remember :

a) x^-4 = 1/x⁴

2^-4 = 1/2⁴

b) x⁰ = 1

c) -x² = - x x
-3² = -3 3 = -9

d) (-x)² =(-x)(-x)
(-3)² =(-3)(-3) =9

e) -12 a³ = -12 a a a (expanded form)
where
-12 = coefficient
a = base
3 = exponent

Assignments

Complete the given worksheet by next class.
Complete exercise 39 from the workbook
1-6,10,17,19,20

Exponents

noreply@blogger.com (Jyoti Gupta) — Mon, 19 Feb 2007 05:05:00 +0000

Exponents are shorthand for multiplication:

(2)(2) = 2², (2)(2)(2) = 2³.

The "exponent" stands for however many times the thing is being multiplied. The thing that's being multiplied is called the "base". This process of using exponents is called "raising to a power", where the exponent is the "power". "2³" is "two, raised to the third power". When we deal with numbers, we usually just simplify; we'd rather deal with "8" than with "2³". But with variables, we need the exponents, because we'd rather deal with "x⁵" than with "xxxxx".

Power And Exponents

noreply@blogger.com (Jyoti Gupta) — Sun, 18 Feb 2007 15:41:00 +0000

Hi Grade 9 students. The unit we are going to start on Monday is Power and Exponents.I will be posting the notes which is covered in the class , as well as assignments which you are going to complete before your next class here. Please do check if you miss any of the classes.

If you have any query feel free to write me.

Motivating Students

noreply@blogger.com (Jyoti Gupta) — Fri, 26 Jan 2007 01:01:00 +0000

Give frequent, early, positive feedback that supports students' beliefs that they can do well.
Ensure opportunities for students' success by assigning tasks that are neither too easy nor too difficult.
Help students find personal meaning and value in the material.
Create an atmosphere that is open and positive. Classroom organized and free from constant disruption.
Help students feel that they are valued members of a learning community.
Allow student to progress at their own rate whenever possible.Provide opportunities for cooperative learning, problem solving and decision making