Summary: Multiplying Matrices

Multiplying Matrices-                              August 31, 2011

OBJECTIVE: SWBAT EVALUATE MATRICES BY APPLYING THE SCALER MULTIPLICATION METHOD 

Today in class we learned how to multiply matrices. At first, I did not get it at all; to me it was just a bunch of numbers thrown into a bracket to make matrices. But later on when the video started to explain how to do everything; I got it. It looked hard at first but then when we did it, I saw just how easy it was. The only things that still throw me off are the negatives but, I think I got a hang of it now. An example is shown below.

EXAMPLE

Summary: Matrices Continued

Matrices Continued-                                                            August 27, 2011

OBJECTIVE: SWBAT DEFINE AND NAME MATRICES GIVEN A NUMERAL SET OF DATA

Today we learned what equal matrices are. Equal matrices are two matrices that have the same dimension and each element of one matrix is equal to the corresponding element of the other matrix. Basically, it’s like saying 'copy and paste'. We also learned what determinants are; a determinant represents a single number. We obtain this value by multiplying and adding its elements in a special way, which is multiplying diagonally. Examples are shown below.

EXAMPLES

Summary: Matrices

Matrices-                                                                                     August 26, 2011
OBJECTIVE: SWBAT DEFINE AND NAME MATRICES GIVEN A NUMERAL SET OF DATA

Today we learned what matrices are and how to add and subtract them. A matrix is a rectangular arrangement of numbers into rows and columns. To add and subtract matrices they have to have the same number of rows and columns. It is hard to explain how to do them so I will give you an example below. We also learned what an element is and what a dimension is. An element is each value in a matrix; either a number or a constant. A dimension is the number of rows by the number of columns in a matrix.

EXAMPLES:  

 

Summary: Function Notation

Function Notation-                                                                             August 18, 2011

OBJECTIVE: SWBAT DEFINE, EXPAND, AND CREATE RELATIONS THAT ARE FUNCTIONS AND NOT FUNCTIONS

Today we learned about function notation and how to use it. Function notation is f(x)=y and is read as "f of x". For example, y=2x+1 can also be written as f(x)=2x+1. Examples of how to solve problems for function notation is shown below. The domain cannot contain values for which the range is undefined (0).

EXAMPLE:

f(x)=4x²-2x+5              f(4)                       
     =4(4)²-2(4)+5
     =4(16)-2(4)+5
     =64-8+5
     =56+5
     =61

Summary: Vertical Line Test

Vertical Line Test-                                                                       August 17, 2011
OBJECTIVE: SWBAT UNDERSTAND AND USE COMPATIBLE NUMBERS TO ASSIST IN PROBLEM SOLVING

Today we reviewed what a function is and what a relation is. A function is when every x has its own y and a relation is a set of ordered pairs. We also learned about the vertical line test is. A vertical line test is when you draw a line on the graph of the relation and the vertical lines cross two different points then the relation is not a function. We also learned how to tell which relation is a function.

EXAMPLE:Which relations below are functions?

A: Names and social security numbers
B: Addresses and names
C: (2,4) (-2,5) (3,7)
D: (4,1) (4,3) (5,6)
E: (2,5) (3,5) (4,5)

Summary: Relations & Functions

Relation and Functions-                                                              August 16, 2011
OBJECTIVE: SWBAT UNDERSTAND AND USE COMPATIBLE NUMBERS TO ASSIST IN PROBLEM SOLVING

Today we learned what a relation is, what a function is, and the names for "x" and "y". The names for "x" is domain, abscisses, input, and independent; for "y" is range, ordinates, output, and dependent. A relation is a set of ordered pairs. A function is a relation in which each element of the domain is paired with exactly one element of the range. Basically, for every "x" there is only one "y".

EXAMPLE:

If x is a positive integer less than 6 and y=5+x, list the ordered pairs that satisfy the relation. State the domain and range of the relation.

y=5+x    x<6~54321                              

D	1	2	3	4	5
R	6	7	8	9	10

   

Summary: Cornell Notes & Love

Cornell Notes and Love-                                                  August 15, 2011

OBJECTIVE: SWBAT DEFINE LOVE

Today we learned to define the word "love". There are many synonyms for the word like: caring, affection, family, word, feeling, something you give/ receive, paper, etc. We also learned how to set up for Cornell Notes in class. The objective goes on the first line; date in the upper right hand corner; summary on the bottom of page; and vocabulary, examples, definitions and questions in the space between the spine and the red margin.