This unit's main goal was to use similar triangles to measure the length of a shadow. While using the variables D, H, and L, we have figured out a formula to measure a shadow's length. In order to do this though, everyone had to learn the basic concepts of similarity, congruence, right triangles, and trigonometry.

Similarity and congruence were two very important factors because they helped us learn about angles and the importance of triangles. Similarity was a key to find out how to use proportions to figure out unknowns (such as in HW7). Once similarity was learned we moved on to congruence where we learned proof and how to show others what is truth by giving them accurate facts based on previous truths. If similar triangles share enough equal traits, they can be called congruent by ASA, SAS, SSS, and AAS.

Right triangles came next and with them we learned how and why they are special. As it turns out, right triangles are furtively hidden in many problems. Along with our unit problem to find out the length of a shadow. Trigonometry worked with right angles as we learned about tangent, sine and cosine. Using trigonometry, we could figure out unknowns that were considered unsolvable to us when we only knew about proportions.

All of these concepts and ideas really helped us find the final equation for finding the length of a shadow. They all built upon each other and with a little logical reasoning we were able to finally solve it. Using similarity, we were able to use proportions, which was the foundation of our shadows equation. With right triangles we knew how to position the proportions for them to make sense. And using logical reasoning we were able to set the proportion to solve for S (length of shadow).

One of the beginning assignments that never really seemed to fit in until the end was HW 4 N by N window. In this assignment, we had to create an equation to figure out how much wood would be used for a square window if the square panes...

...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...

...
The Founding Father, the Propagandist, and a Wife
Daniel Boggs
(HST201-1) – (U.S. History I)
Colorado State University – Global Campus
Dr. Bruce Ingram
August 19, 2014
The Founding Father, the Propagandist, and a Wife
Three people walked into a bar. They were a founding father, a propagandist, and a wife of a famous leader. The three introduced themselves as; Thomas Jefferson, Thomas Paine, and Abigail Adams. Ok, so they really did not meet in a bar. If they did they...

...
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...

...heat energy. It is also referred to as the retarding force or even drag force in the form of air resistance.
Frictional force is found to be directly proportional to the normal force (N) which is mathematically expressed as:
f ∝N
f=kN (Equation 1)
The coefficient of friction (µ) takes the place of k which is the constant of proportionality. Thus:
f=µN (Equation 2)
26904953626485Figure 3. Angle of Repose
Figure 3. Angle of Repose
269061011472000If the body slides down...

...
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...

...Portfolio1
Personal and professional development
By
Faiza Nabil Sabita
UOG ID : 00792125
Tutor: Mr. Panchathan
Part A
Table of content
Part A ……………………………………………………………… pp. 2-5
Part B ………………………………………………………………. pp. 7-9
Introduction:
In essence, a team may be defined as two or more people who co-operate together with a common aim. A Team focuses towards common goals and clear purpose (park, 1990). The purpose of this report is to...

...111 32 11 64 64 11 107 106 107 11 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...

...Misconceptions and Strategies
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...

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4 Pages

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