CC Icons (path)
/themes/custom/learnful-theme/assets/cc-icons/cc.svg
/themes/custom/learnful-theme/assets/cc-icons/by.svg
Long Name
Creative Commons Attribution

first math REL

Content Blocks

test

Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

Team Performance

Instructional Summary
This module exposes the learner to the challenges of leading a project team. It explores a multitude of personal and interpersonal skills as well as team motivation theory and strategy, and the all-important topic of how to create highly motivated self-managing project teams.
Creative Commons License
Education Level
Educational Use
Material Type
Cover Image
Share in catalogue
On
Top Bar Region - Minibook
Introduction

This module exposes the learner to the challenges of leading a project team. It explores a multitude of personal and interpersonal skills as well as team motivation theory and strategy, and the all-important topic of how to create highly motivated self-managing project teams.

role of the project manager and challenges of managing project teams and engaging stakeholders effectively

Display in Portfolio
On
This work is a derivative
Off
Top Bar Region - Module - Clone

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

My Indigenous Vocabulary: Algonquin Words

Content Blocks
Statue of Keewakwa Abenaki Keenahbeh in Opechee Park in Laconia, New Hampshire (standing at 36 ft.)

Statue of Keewakwa Abenaki Keenahbeh in Opechee Park in Laconia, New Hampshire (standing at 36 ft.). Sources: Sculptor: Peter Wolf Toth / Photo by: Niranjan Arminius - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=51375010

The Abenaki (Abnaki, Abinaki, Alnôbak) are a Native American tribe and First Nation. They are one of the Algonquian-speaking peoples of northeastern North America. The Abenaki originated in a region called Wabanahkik in the Eastern Algonquian languages (meaning "Dawn Land"), a territory now including parts of Quebec and the Maritimes of Canada and northern sections of the New England region of the United States. The Abenaki are one of the five members of the Wabanaki Confederacy.

The Abenaki language is closely related to the Panawahpskek (Penobscot) language. Other neighboring Wabanaki tribes, the Pestomuhkati (Passamaquoddy), Wolastoqiyik (Maliseet), and Miꞌkmaq, and other Eastern Algonquian languages share many linguistic similarities. It has come close to extinction as a spoken language. Tribal members are working to revive the Abenaki language at Odanak (means "in the village"), a First Nations Abenaki reserve near Pierreville, Quebec, and throughout New Hampshire, Vermont and New York state.

Twenty Basic Words in Algonquin

Abenaki is an Algonquian language, related to other languages like Lenape and Ojibwe. We have included twenty basic Algonquin words here.

Algonquin Word Set

English (Français) Algonquin Words
One (Un) Pejig
Two (Deux) Nìj
Three (Trois) Niswi
Four (Quatre) New
Five (Cinq) Nànan
Man (Homme) Ininì
Woman (Femme) Ikwe
Dog (Chien) Animosh
Sun (Soleil) Kìzis
Moon (Lune) Tibik-kìzis
Water (Eau) Nibì
White (Blanc) Wàbà
Yellow (Jaune) Ozàwà
Red (Rouge) Miskwà
Black (Noir) Makadewà
Eat (Manger) Mìdjin
See (Voir) Wàbi
Hear (Entendre) Nòndam
Sing (Chanter) Nigamo
Leave (Partir) Màdjà or Nagadàn

Test your memory

Please note: the content on this page, sourced from http://www.native-languages.org/algonquin_words.htm, is meant for demonstration purposes only.

Cover Image
Share in catalogue
On
Top Bar Region - Tutorials
Creative Commons License
Education Level
Educational Use
Material Type
Subject Area
Brief Description
Abenaki is an Algonquian language, related to other languages like Lenape and Ojibwe. We have included twenty basic Algonquin words here.

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
On
This work is a derivative
On

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

Lesson 1

Content Blocks

Heading One

Aenean ut eros et nisl sagittis vestibulum. Pellentesque libero tortor, tincidunt et, tincidunt eget, semper nec, quam. Morbi nec metus. In ut quam vitae odio lacinia tincidunt. Fusce fermentum odio nec arcu.

Curabitur suscipit suscipit tellus. Sed hendrerit. Pellentesque habitant morbi tristique senectus et netus et malesuada fames ac turpis egestas. Etiam rhoncus. Nullam sagittis.

Nam pretium turpis et arcu. Vestibulum turpis sem, aliquet eget, lobortis pellentesque, rutrum eu, nisl. Ut leo. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Vestibulum dapibus nunc ac augue.

Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

Test 1

Content Blocks
Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

Unit 1

Creative Commons License
Cover Image
Share in catalogue
Off
Top Bar Region - Minibook
Display in Portfolio
Off
This work is a derivative
Off
Top Bar Region - Module - Clone

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Remix of Introduction to DSGN 8230

Content Blocks

Welcome to Week 1 of DSGN 820!

In this first week we have a number of topics to cover, including:

  • Introduction to the course
  • Introduction to your eTextbook
  • Getting started with Visual Studio
  • History of the Internet
  • Introduction to HTML5 and CSS

Required Preparations

Please ensure that you have prepared the following prior to our second class in week 1:

  • Make sure you can access your eText
  • Make sure you can access our course in BrightSpace
  • Make sure you have Visual Studio install on your laptop
  • Make sure you can access your School OneDrive
  • Read Chapter 1 in your eText
  • Complete the "Getting to know you" Survey
Illustration displaying numerous symbols and web design tools/languages.

So you want to be a Web Developer?

The History of the Internet

As you might expect for a technology so expansive and ever-changing, it is impossible to credit the invention of the internet to a single person. The internet was the work of dozens of pioneering scientists, programmers and engineers who each developed new features and technologies that eventually merged to become the “information superhighway” we know today.

Long before the technology existed to actually build the internet, many scientists had already anticipated the existence of worldwide networks of information. Nikola Tesla toyed with the idea of a “world wireless system” in the early 1900s, and visionary thinkers like Paul Otlet and Vannevar Bush conceived of mechanized, searchable storage systems of books and media in the 1930s and 1940s. 

Still, the first practical schematics for the internet would not arrive until the early 1960s, when MIT’s J.C.R. Licklider popularized the idea of an “Intergalactic Network” of computers. Shortly thereafter, computer scientists developed the concept of “packet switching,” a method for effectively transmitting electronic data that would later become one of the major building blocks of the internet.

The first workable prototype of the Internet came in the late 1960s with the creation of ARPANET, or the Advanced Research Projects Agency Network. Originally funded by the U.S. Department of Defense, ARPANET used packet switching to allow multiple computers to communicate on a single network. 

On October 29, 1969, ARPAnet delivered its first message: a “node-to-node” communication from one computer to another. (The first computer was located in a research lab at UCLA and the second was at Stanford; each one was the size of a small house.) The message—“LOGIN”—was short and simple, but it crashed the fledgling ARPA network anyway: The Stanford computer only received the note’s first two letters.

Symbolic representation of the Arpanet as of September 1974.

Symbolic representation of the Arpanet as of September 1974.

Encapsulation of application data descending through the layered IP architecture

Encapsulation of application data descending through the layers described in RFC 1122

The technology continued to grow in the 1970s after scientists Robert Kahn and Vinton Cerf developed Transmission Control Protocol and Internet Protocol, or TCP/IP, a communications model that set standards for how data could be transmitted between multiple networks. 

ARPANET adopted TCP/IP on January 1, 1983, and from there researchers began to assemble the “network of networks” that became the modern Internet. The online world then took on a more recognizable form in 1990, when computer scientist Tim Berners-Lee invented the World Wide Web. While it’s often confused with the internet itself, the web is actually just the most common means of accessing data online in the form of websites and hyperlinks. 

The web helped popularize the internet among the public, and served as a crucial step in developing the vast trove of information that most of us now access on a daily basis.

Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License
Education Level
Educational Use
Material Type
Brief Description
This is a test of the Tutorial Resource builder.

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

1.2.2 Balance Sheet and Statement of Cash Flows

Content Blocks

The Balance Sheet

The balance sheet is also called the statement of financial position.

The balance sheet reports a company’s financial position as at a specific date (e.g., last day of a monthly, quarterly, or annual reporting period).  Since it is presented as at a specific date, you can think of the balance as a snapshot of the company’s financial position at a particular point in time.

Note: the other 3 statements cover a period of time.

From the balance sheet above, note the Accounting Equation (Assets = Liabilities + Shareholders’ Equity):
Total Assets = $90,973 which equals the Total Liabilities and Shareholders’ Equity = $90,973.

Balance Sheet Has Three Main Elements:

  1. Assets: Economic resources controlled by the entity as a result of past business events from which future economic benefits may be obtained.
    1. Current assets: Expected to be converted to cash, sold, or consumed during the next 12 months or within the business’ operating cycle, whichever is longer, and include:
      1. Cash and cash equivalents
      2. Short-term investments
      3. Accounts and notes receivable
      4. Inventory
      5. Prepaid expenses
    2. Non-current assets: Will be held longer than one year and include:
      1. Property and equipment
      2. Land
      3. Buildings
      4. Computers
      5. Equipment
      6. Intangibles
      7. Long-term investments
  2. Liabilities: Debts the entity owes as a result of a past event, and which it expects to pay off in the future using some of its assets.
    1. Current liabilities: Debts payable in the next 12 months or within the business’ operating cycle, whichever is longer, and include:
      1. Accounts payable
      2. Income taxes payable
      3. Accrued expenses payable
      4. Current maturities of long-term debt
    2. Non-current liabilities: Debts payable more than one year from the balance sheet date and include:
      1. Long-term notes payable
      2. Bonds payable
  3. Shareholders’ equity: Owners’ remaining interest in the assets of the company after deducting all its liabilities (i.e., owners’ claim on the company’s assets net of company’s liabilities, hence, called net assets), consisting of two components:
    1. Share capital: capital (usually in the form of cash) received from its owners in exchange for shares of the company. Also called common shares.
    2. Retained earnings: the cumulative net income earned by the company over its lifetime, less its cumulative net losses and dividends. 
      Note: a portion of net income is typically distributed to shareholders in the form of dividends and the remainder is retained by the business that is called retained earnings.
Alt text

Dividing net income into dividends (distributed to shareholders) and retained earnings (retained by the business).

The balance sheet takes its name from the fact that the assets (A) must always equal (be in balance with) the sum of the liabilities (L) and the shareholders' equity (SE).

A = L + SE

(Assets) = (Liabilities) + (Shareholders' Equity)

Assets refer to the economic resources of the company.

Companies can finance the economic resources in two ways:

  1. Liabilities: Financing provided by creditors
  2. Shareholders' equity: Financing provided by shareholders

Typical Account Titles

Assets Liabilities Shareholders’ Equity
Cash Trade Payables Share Capital
(or Common Shares)
Short-Term Investment Short-term Borrowing Retained Earnings
Trade Receivable Long-term Borrowing  
Notes Receivable Provisions  
Inventory (to be sold) Other Liabilities  
Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License
Educational Use

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

Remix of Functions and Function Notation

Content Blocks

Learning Objectives

In this section, you will:

  • Determine whether a relation represents a function.
  • Find the value of a function.
  • Determine whether a function is one-to-one.
  • Use the vertical line test to identify functions.
  • Graph the functions listed in the library of functions.

A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.

Determining Whether a Relation Represents a Function

A relation is a set of ordered pairs. The set consisting of the first components of each ordered pair is called the domain and the set consisting of the second components of each ordered pair is called the range. Consider the following set of ordered pairs. The first numbers in each pair are the first five natural numbers. The second number in each pair is twice that of the first.

$$\{(1,\text{ }2),\text{ }(2,\text{ }4),\text{ }(3,\text{ }6),\text{ }(4,\text{ }8),\text{ }(5,\text{ }10)\}$$

The domain is \(\{1,\text{ }2,\text{ }3,\text{ }4,\text{ }5\}\). The range is \(\{2,\text{ }4,\text{ }6,\text{ }8,\text{ }10\}\).

Note that each value in the domain is also known as an input value, or independent variable, and is often labeled with the lowercase letter \(x\). Each value in the range is also known as an output value, or dependent variable, and is often labeled lowercase letter \(y\).

A function \(f\) is a relation that assigns a single value in the range to each value in the domain. In other words, no x-values are repeated. For our example that relates the first five natural numbers to numbers double their values, this relation is a function because each element in the domain, \(\{1, 2, 3, 4, 5\}\), is paired with exactly one element in the range, \(\{2, 4, 6, 8, 10\}\).

Now let’s consider the set of ordered pairs that relates the terms “even” and “odd” to the first five natural numbers. It would appear as

$$\{{(\text{odd},\text{ }1),\text{ }(\text{even},\text{ }2),\text{ }(\text{odd},\text{ }3),\text{ }(\text{even},\text{ }4),\text{ }(\text{odd},\text{ }5)}\}$$

Notice that each element in the domain, \(\{even, odd\}\) is not paired with exactly one element in the range, \(\{1, 2, 3, 4, 5\}\). For example, the term “odd” corresponds to three values from the range, \(\{1, 3, 5\}\) and the term “even” corresponds to two values from the range, \(\{2, 4\}\). This violates the definition of a function, so this relation is not a function.

Figure 1 compares relations that are functions and not functions.

Three relations that demonstrate what constitute a function.

Figure 1 (a) This relationship is a function because each input is associated with a single output. Note that input  q  and  r  both give output  n.  (b) This relationship is also a function. In this case, each input is associated with a single output.

Functions

function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”

The input values make up the domain, and the output values make up the range.

Examples

Given a relationship between two quantities, determine whether the relationship is a function.

Using Function Notation

Once we determine that a relationship is a function, we need to display and define the functional relationships so that we can understand and use them, and sometimes also so that we can program them into computers. There are various ways of representing functions. A standard function notation is one representation that facilitates working with functions.

To represent “height is a function of age,” we start by identifying the descriptive variables \(h\) for height and \(a\) for age. The letters \(f\), \(g\), and \(h\) are often used to represent functions just as we use \(x, y\), and \(z\) to represent numbers and \(A, B\), and \(C\) to represent sets.

$$ \begin{array}{lcccc}h\text{ is }f\text{ of }a&&&&\text{We name the function }f;\text{ height is a function of age}.\\h=f(a)&&&&\text{We use parentheses to indicate the function input}\text{. }\\f(a)&&&&\text{We name the function }f;\text{ the expression is read as “}f\text{ of }a\text{.”}\end{array} $$

Remember, we can use any letter to name the function; the notation \(h(a)\) shows us that \(h\) depends on \(a\). The value a  a must be put into the function \(h\) to get a result. The parentheses indicate that age is input into the function; they do not indicate multiplication.

We can also give an algebraic expression as the input to a function. For example \(f(a+b)\) means "first add a and b, and the result is the input for the function f." The operations must be performed in this order to obtain the correct result.

Function Notation

The notation \(y=f(x)\) defines a function named \(f\). This is read as "\(y is a function of x\)". The letter \(x\) represents the input value, or independent variable. The letter \(y\), or \(f(x)\), represents the output value, or dependent variable.

Practice Quiz

Content for this page has been sourced from OpenStax - Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction-to-prerequisites

Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License
Education Level
Educational Use
Material Type
Subject Area
Brief Description
A demonstration of the MathJax authoring capabilities. Content for this page has been sourced from OpenStax - Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction-to-prerequisites

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!

phet simulation embed

Content Blocks
Cover Image
Share in catalogue
Off
Top Bar Region - Tutorials
Creative Commons License

Login or register to join the discussion.

Comments

Be the first to comment!

Login or register to share your adaptations.

List of adaptions

Be the first to add your adaptation here!

Top Bar Region - Lesson - Clone
Display in Portfolio
Off
This work is a derivative
Off

Login or register to engage in the review and feedback process.

Reviews and Feedback

Be the first to review!