percentage

Each course contains three components:

  • Skills Application

    Instructional Objectives: The Skills Application video component introduces percentage-based reasoning, problem solving and identification for trades application.
    Learning Materials:: 7 episodes of instructional videos

    Definition of Percent [03:22]
    Converting a Percent to a Fraction [01:53]
    Converting a Fraction to a Percent [02:47]
    Converting a Percent to a Decimal [01:25]
    Converting a Decimal to Percent [01:52]
    Calculating Portion [02:15]
    Calculating Rate [02:48]
    Calculating Base [02:11]

  • Step-by-Step

    Instructional Objectives:: The Step-by-Step video component shows how to practically apply the percentage principals introduced previously to working examples.
    Learning Materials:: 7 episodes of instructional videos

    Definition of Percent [02:05]
    Converting a Percent to a Fraction [01:23]
    Converting a Fraction to a Percent [01:57]
    Converting a Percent to a Decimal [01:44]
    Converting a Decimal to Percent [01:39]
    Calculating Portion [02:37]
    Calculating Rate [02:38]
    Calculating Base [02:18]

  • Worksheets

    Instructional Objectives:: These worksheets provide detailed, percentage-related problem-solving examples to foster critical, independent thinking.
    Learning Materials:: 7 episodes of instructional videos

    Definition of Percent [Level 1, 2]
    Converting a Percent to a Fraction [Level 1, 2]
    Converting a Fraction to a Percent [Level 1, 2, Advanced]
    Converting a Percent to a Decimal [Level 1, 2, Advanced]
    Converting a Decimal to Percent [Level 1, 2, Advanced]
    Calculating Portion [Level 1, 2, 3, Advanced 1, 2]
    Calculating Rate [Level 1, 2, 3, Advanced]
    Calculating Base [Level 1, 2, 3, Advanced 1, 2]

 
 
 

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Definition of Percent
Definition of Percent

A Short Review...

A percent is a way of writing a fraction shorthand. You still need to work with 2 numbers: the amount that makes up the "whole" and the amount for the "parts". In a percent, the "whole" or the denominator is always 100, which is replaced by the % symbol.

Any amount can be written as either a percent, a fraction, or a decimal. A percent can be reduced, added, subtracted, multiplied, and divided like any number.
 Converting a Percent to a Fraction
Converting a Percent to a Fraction

A Short Review...

A percentage is a fraction. What makes it special is that the denominator is always 100. Changing a percent to fraction format is done in 3 steps:

  1. Drop the percent sign, keep the number.
  2. Set the percentage number as a numerator over a denominator. The denominator is always 100.
  3. Simplify your fraction as necessary.
 Converting a Fraction to a Percent
Converting a Fraction to a Percent

A Short Review...

This conversion is the reverse of the conversion of percentages to fractions in the previous lesson. One way to convert a fraction to a percentage is to convert the fraction into a
decimal, then multiply by 100. The result is a percentage.

Converting a Percent to a Decimal
Converting a Percent to a Decimal

To change a percent to a decimal number, divide by 100. Division by 100 is the same as moving the decimal point two digits to the left.

Converting a Decimal to a Percent
Converting a Decimal to a Percent

Changing a decimal to a percent is done in 2 steps, based on the idea of multiplication by 100. Multiplication by 100 is the same as moving the decimal point two digits to the right.

0.20 = ? %

Calculating Portion
Calculating Portion

All calculations involving percent can fall into one of the three basic types of problems. These three are related to all percent problems that arise in business, technology, or the trades. By learning these three types of problems you will be able to solve any percent problem, and we examine each of the three types of problems. All percent problems involve three quantities:

  • the base ( B ), or whole or total amount, a standard used for comparison
  • the portion ( P ) or part being compared with the base
  • the rate ( R ) or percent, a percent number
Calculating Rate
Calculating Rate
To solve any percent problem, you need to identify which of the quantities given in the problem is P, which is B, and which is R. The percent number R is easy to identify because it always has the % symbol attached to it. If you have trouble distinguishing the part P from the base B, notice that B usually follows the word “of” and P usually follows the word “is”. Example: What is 20% of 280?
  • is indicates the portion (or percent) P to be found
  • % indicate the percent rate R, here R = 30%
  • of indicates the base B which is equal to 280
Calculating Base
Calculating Base

Understanding Percent Problems: Words in base problems

This third type of percent problem requires that you find the whole (or base) when the portion (or part) and the rate (in percent) are given. Problems of this kind can be worded as:
  • 18 is 15% of what number?
  • Find a number such that 15% of it is 18.
  • 15% of what number is 18?
Calculating Base
Calculating Base

More on Percentage coming soon...

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