Section 1
Decimals are a part of our everyday life in some way, when we put fuel in our cars to buying meat from the butcher. Mastering this critical mathematical concept is a necessity (Stephanie Welch, 2010). A decimal is a proper fraction, which is a number less than 1. It is a part of a whole number. Since our numbering system is based on the powers of 10, it is called a decimal system. Decem in Latin means ten (The Maths Page, 2012, Lesson 3). Decimal fractions are represented as the numbers found between two whole numbers. The decimal fraction shows part of a whole number and is written after the decimal place.

Some key understandings in learning about decimals would be-

* the idea that there are numbers between two consecutive whole numbers, for example between 6 and 7 is 6.54. * the place value system can be extended to the right to show the numbers between two whole numbers * to record a number you write the whole number followed by a decimal point then the part of the number * the numbers to the right of the decimal point have decreasing values in powers of ten ie. 1/10, 1/100, 1/1000 and so on. * decimal numbers can be partitioned just like whole numbers (0.84 = 8/10+4/100 or 84/100 or 840/1000)

Prior to learning about decimal numbers students must have a clear understanding of place value, ordering and rounding whole numbers. Without this secure understanding and ability to work with whole numbers, students will not have the prerequisite skills and understanding to move into decimal numbers. Many of the misconceptions students have with decimals arise from the lack of confidence and skills with whole numbers.

When representing whole numbers and parts of whole numbers the decimal place is a separator between the whole number and the smaller part of the whole number. A major misconception students have with decimals is the idea that the decimal place separates...

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IB Math: Studies Statistics
Portfolio:
What is the relationship between the numbers of goals the top sixteen players of the FIFA world cup 2014 score with the height of the players?
Due date: Friday November 23, 2013
School Name: Franklin Delano Roosevelt
Course: IB Math Studies
Name: Valerie Philco
What is the relationship between football player’s height that is participating...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...1 1
1 32 1
1 64 64 1
1 107 106 107 1
1 1511 159 159 1511 1
The aim of this task is to find the general statement for En(r). Let En(r) be the element in the nth row, starting with r = 0.
First to find the numerator of the sixth row, the pattern for the numerator for the first five rows is observed. Since the numerator is the same in each row...

...angles. After all, triangles do mean three angles.
Compared to math class back in elementary school, IMP is totally different. When I used to just solve given equations from a book and memorize methods to solve various problems. Now I actually have to create my own equation and work with that. But honestly speaking I preferred doing math the old way. It felt more normal and more like math. Since I started IMP, math has begun...

...MathPortfolio SL TYPE I
LACSAP’S FRACTIONS
Introduction
This assignment requires us to solve patterns in numerators and denominators in LACSAP’S FRACTIONS, and the first five rows look like:
Figure 1: Lacsap’s Fractions
1 1st row
1 3/2 1 2nd row
1 6/4 6/4 1 3rd row
1 10/7 10/6 10/7 1 4th row
1 15/11 15/9 15/9...

...MATHS PORTFORLIO SL TYPE I
CIRCLES
In this portfolio I am investigating the positions of points in intersecting circles. (These are shown on the following page.
The following diagram shows a circle C1 with centre O and radius r, and any point P.
The circle C2 has centre P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has the centre A, and radius r. The point Pʹ is the intersection of C3 with (OP). This...

...MathPortfolio
HL- Type 1
INVESTIGATINGRATIOS OF AREAS AND VOLUMES
The purpose of this portfolio is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b.
Task 1
The general formula to find area A is [pic]
The general formula to find area B is [pic]
Therefore, the ratio of Area A to Area B is-
= [pic] ÷ [pic]
= [pic] × [pic]
= n : 1...