WEEK OF JANUARY 19-23, 2015

HONORS MATH

WE WILL LEARN TO FIND THE % OF A NUMBER, FIND A % GIVEN A PART AND A WHOLE, AND FIND A WHOLE GIVEN A PART AND A %.

FINDING THE % OF A NUMBER
If you need to find 16% of 1400, you first convert the percentage "16%" to its decimal form; namely, the number "0.16". (When you are doing actual math, you need to use actual numbers. Always convert the percentages to decimals!) Then, since "sixteen percent OF fourteen hundred" tells you to multiply the 0.16 and the1400, you get: (0.16)(1400) = 224. This says that 224 is sixteen percent of 1400.

Finding the Percent Given the Part and the Whole

In many applications one must find what percent one number (part) is of another(whole). The general procedure for doing this is to divide the part by the whole and multiply the result by 100 to change the decimal to a percent. Some refer to the part as the "is" number and the whole as the "of" number. The "whole" is the total number of whatever you are dealing with.

Example

3 is what percent of 12?

Solution

Divide 12 into 3 to get .25. As example 2 below shows, you can't always assume it will be big number into small number. You have to learn to tell which is the part and which is the whole (total).

Finding the Whole Given the Percent and the Part

Example

Suppose we know 13 students in Mrs. Jone's algebra class earned Bs and that represents 37% of the class. How many students were in the class?

The 13 students represent "part" of the class. The total number of students in the class would be the "whole" class. This problem translates into "13 is 37% of what number?"

Solution

To find the "whole" we always divide the "part" by the percent. Of course we must change the percent to its decimal equivalent before completing the division. 37% is .37 in decimal form.

GEOMETRIC CONSTRUCTION

CONTINUE REVIEWING YOUR VOCABULARY. WE WILL ALSO BEGIN MAKING OUR STRAW DESIGNS WITH GEOMETRY INTEGRATION.

REMINDERS:

ALWAYS ASK ME FOR HELP WHEN IN DOUBT!

BE THE BEST YOU CAN BE!

MARTIN LUTHER KING DREAMS REMEMBRANCE

KEEP YOUR GRADES UP! PROGRESS REPORTS ARE AROUND THE CORNER!

THE FOLLOWING PICTURES INCLUDE STUDENTS WORKING ON FRACTION, DECIMALS, AND PERCENTS CONVERSIONS. ONE PICTURE ALSO INCLUDES A STUDENT WORKING ON HIS GEOMETRIC FIGURE