Algebra Factorization (Revision)

Algebraic Factorization Online Quiz

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Algebra: Revision (Algebraic Fraction)

posted by Mr Johari

ALGEBRAIC FRACTION

Revision:

Solving Equa

Video 1: Solving Multi-Step Equations with Fractions


Video 2: Solving Equations with Fractions


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Algebra: Revision

posted by Mr Nur Johari

Individually post your understanding on the topic : ALGEBRA from introduction to graphs using the Wallwisher below.
You may include the following:
.1 Definition of terms used
.2 Examples of expression / equation
.3 Sample problems
.4 linear graphs
etc

Chapter 6: Algebra - viva voce

Chap 6 Algebra: Individual or Pair work Viva Voce
Posted by Nur Johari

Task 1: Algebraic Expansion - Self Revision (10 mins)
source: GCSE Bite-Maths and Maths notes
Individually do a quick revision on algebraic expansion / simplification. The focus is on the step-by-step process in arriving at the eventual answer.
Note: You may refer to the link GCSE Bitesize:rearranging symbols or GCSE Bitesize: solving equations or the Maths notes.

Task 2: Peer Evaluation (10 mins)
source: courtesy of S1-01

The following links show the work done by your friends on the topic algebraic expansion. They have created and posted a short videoclip to explain clearly how the following expression could be expanded.

(A1) 4m(7 + 3n)
(A2) 10 (6m² + 0.5m + 4)
(A3) (m + 2)(m + 5)
(A4) (3m + 2n)²

Individually select any ONE of the presentation, watch it and provide constructive criticism (to be uploaded as your personal comment). The constructive criticism could include the following:

.1 state how the explanation could be improved (eg. better video or audio presentation)

.2 state clarity of Mathematical concept (eg. the expansion is clearly shown)

.3 suggestions for improvement (eg. mathematical models could be used instead)

.4 include your name and class (this is about responsible citizenship)

Please choose any of the following students' work for your task: (click on their names for the link to their work)

• Zhi Qi & Joshua Ma
• Cheng Ngee & Su Lun
• Guang Jun & Bryan
• Harsh & Calvin
• Sher Li & Grace
• Zhi Chao & Soh Fan

Task 3: Individual / Pair Work (Algebraic Equation) (25 mins)

Individual or pair work. Create a short videoclip to explain clearly how you would solve ONE of the following equations.

Instructions
• Each clip should not be longer than 1 minute.
• Make sure your voice is clearly and distinctly captured.
• You may use PhotoBooth or QuickTime to complete the task - keeping in mind that the file size of the video clip should be as small as possible.
• Email your clip to Mr Johari at nurjohari@gmail.com and he will then review and upload your clip in the Maths blog. [you should complete the mathematical problem with step-by-step working and script during the given time]
• Remember to state the question as well as your name as your title of the post.

Reference (optional)
Sample video:

by Foo Zhixiang

Expression and Equation

This is a continuation about algebra. We have covered definitions of the various terms used in algebra such as variables, like terms etc. We discussed about fundamental concepts and differences between expressions and equations.

Task 1:
In this task review the view clip again on how ' x finds out his value'.

Go through the site Study Guides and Strategies and attempt the following questions.

What is the difference between an equation and an expression?
What are the characteristics of a linear expression?
What does it mean to solve an equation?
Can an equation have multiple solutions?
Task 2:
Solve the following equations for the value/s of x.

1. 8x - 46 = 2
2. 8x + 46 = 2
3. -8x +46 = 2
4. 8x + 46 = 46
5. 8x + 46 = 8x

What is the significance of the solutions of the above equations? (are there one, many or no solution?)
Can an equation have multiple solutions or no solution? If so, what is the implication.

Algebra: Simple Expansion

Simplify the following expressions

Chap 4: Saying it algebraically

Posted by Loh Kwai Yin

more about writing algebraic expressions.

http://www.quia.com/mc/319817.html

Algebra: Equation

Introduction to Algebraic Equation

Activity 1:
Watch the movie, X finds out his value, and answer the following questions.

Given the following:
2x + 4 + x = 8 + 2(3 + x) -3

1. Is this an expression or an equation? Why?
2. What is the variable?
3. Why is an equation like a see-saw?
4. Simplify 2x + 4 + x Answer: ___________________
5. Simplify 8 + 2(3 + x) -3 Answer: ___________________
6. Solve the above for x Answer: x = ________________

Activity 2:

The objective of the activity is to use concrete representation to find the unknown variable. Algebraic reasoning is used to solve or find the numerical value of the variable.

• Levels 1 and 2 contain two scales.
• Level 3 is more difficult and has three scales.
• Your goal is to determine the weight of one or more of the objects.

Click HERE to attempt.

Source: Math Playground (retrieved: 14 March 2010)

http://www.mathplayground.com/Algebraic_Reasoning.html

ALGEBRA: INTRODUCTION

ALGEBRA: Introduction
Objective
to have a better understanding of the historical background of Algebra and the fundamental nomenclature used in Algebra.
Task
In groups of 4s please complete the 4-stages of Algebra:introduction shown below. In each group appoint a scriber who will post the group's findings on-line. Remember to quote and check reliability of sources.

Stage 1:
World of Mathematics on Abu Ja'far Muhammad ibn Musa Al-Khwarizmi
Who is Abu Ja'far Muhammad ibn Musa Al-Khwarizmi ?
Identify his contributions in Mathematics and Sciences.



Stage 2:
Abu Ja'far Muhammad ibn Musa Al-Khwarizmi was the author of a book entitled Al-jabr w'al muqabala (written in 830 AD) that gave the name al-jabr to the branch of mathematics that is now known by its modern spelling as algebra.

What is Algebra?
[reference: click on formula below]

Construct a simple mind map to illustrate this and post your mind map or link on-line.

You may refer to sample for ideas.

Stage 3:
Use the website or mathematics dictionary and find the definition of the following. Use diagrams or examples to illustrate your explanation.

1. variable
2. constant
3. coefficient
4. expression
5. equation

Stage 4:
Watch the following video on Introduction to Algebra and explain the differences between like terms and unlike terms.