Tuesday, March 30, 2010

Algebra: Application in Real-Life

Objective:
To understand the explicit or implicit application of Mathematics in the Real-world.

• In pairs watch at least 2 movies and comment on the following:
Movie title: _____________
My comment on how Mathematics in applied in the scenario presented in the movie: _______.

• Identify another area / profession / situation where Algebra is explicitly or implicitly applied in a real-life situation.

MOVIE 1: The Lundberg Farms

Algebra: Puzzle

Objective:
To understanding the use of representation in real-life context

Project 1: (Concrete Representation)
Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column, That makes the puzzle easier to solve. Also identify relationships among the given objects.

Create a 3x3 puzzle that applies the same concept and post your puzzle on-line.

In the algebraic problem, replace the same characters by the same numerals so that the mathematical operations are correct or hold true.

This branch of Mathematics is known as Crytography and is used in Coding.

Create a similar algebraic problem and post it on-line. Your message must creatively include or embed the word SST. eg. hiSSTory

Monday, March 29, 2010

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.

Source: Math Playground (retrieved: 14 March 2010)

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

Algebra: Introduction

ALGEBRA

Objective:
To have a better understanding of the historical background of Algebra and the fundamental nomenclature used in Algebra.

In groups of 4s please complete the 4-stages of the Introduction: Algebra below. Appoint a scribe to post your findings on-line. Please quote and check the reliability of your sources. Remember to indicate your group members.

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?

Construct a simple mind map to illustrate this. You may refer to sample for inspiration.

source: Mind Map Art info@mindmapart.com

Stage 3:
Use the website or mathematics dictionary and find the definition of the following. Use diagrams or examples to illustrate your explanation. Click here for reference or refer to worksheet 1.

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.

Maths CT 1

Congratulation to both Niklaus Teo and Christopher John for scoring 88% in the recent Maths test!
1-09 has grown from strength to strength and certainly capable of better results. Well done !

LEAP 2010 : Mathematics

1. Identify at least one key learning points from the workshop.

2. Identify the character traits and dispositions you think will be critical in the studies of Mathematics.

3. Through the Mathematics Trail identify at least 1 key areas in Mathematics that could be applied in the real world.

SST LEAP 2010 : Mathematics @ Science Centre

Monday, March 8, 2010

Estimation exercise on 9 March 2010

Maths Lesson - Individualised Learning 9 March 2010

Objectives:
to have a better understanding of estimation given real scenarios.
Submit the completed worksheet 2, 3 and 4 to your Maths representative.
Review the topic again for greater clarity and understanding