Lesson 8 SLOPE!!!!!

Dear Girls and Boys. 

 We have arrived!!!!! We are finally getting to SLOPE.  Have you ever been on a ski slope?  Well, when we look at the slope to know how STEEP the hill is before we decide to ski down it, well at least I do.  When we are talking about slope in math, we are looking to see how steep the line is.  We will generally be looking at graphs and using the ordered pairs to help us along with this, so you must be able to use what you already learned about graphing in earlier lessons in this chapter.  

Slope is defined as the difference of y/difference of x.  Or you can say that slope is the rise/the run.  Finding slope using either method is a way to find out how steep a line is.  I will be looking for BOTH methods to find slope and you need to write both ways down in your go.  I will be checking so be prepared.  

Slope is one concept that you need to be very familiar with as it is used in many ways from now on.  

So, listen to the videos and ask questions if you need to. 

Sleepy little Bruin....... Shhhhh.  This sweetie belongs to Megan.  

Homework: Read the blog, watch the videos, take notes in your go and complete the one vocabulary term.

SLOPE OVERVIEW

Example 1 

Example 2

As always in MATH,

Mrs M

Lesson 7 RATE OF CHANGE

Hi Girls and Boys,

Tonight we are embarking on a concept, rate of change, that is leading up to slope.  In Algebra, slope is the supreme concept that you will be working on next year.  So,  pay attention and ask questions as this stuff is not going away, but rather we will be building on this a great deal of the time.  Rate of change and constant rate of change are the vocabulary terms for this lesson.  This means how fast does something change.  In a line, we are looking at how steep is this line- so this is the constant rate of change. We will be working from tables and graphs to see how much the line changes- or how steep is this line. This is a bit tricky, so ask questions and feel free to do extra problems as practice if you feel shaky on this.

So this is Jonah's little sweetie.  Don't let him fool you, he is a little stinker as he pees on furniture!!!!  

Homework: Read the blog, watch the videos, take notes in your go and complete your vocabulary for RATE OF CHANGE - Lesson 7

Vocabulary

Ex 1

Ex 2

Ex 3

Ex 4 

As always in MATH, 

Mrs M

Lesson 6 SOLVING PROPORTIONAL Relationships

Good Evening Girls and Boys,

We are moving onward with Solving proportional relationships.  Remember a proportion is an equation with 2 equivalent ratios or fractions!  We will be introducing Cross Products to help solve these proportions.  Cross Products are when you have 2 equivalent ratios and the numerator times the denominator = the denominator time the numerator.  Really confusing with the words, but the examples should help clear up the confusion.   In solving proportions you must make sure that you line up the same unit on top as well as the same units on bottom.  This sounds crazy hard also, but never fear, the videos are here!

Hi this beauty belongs to Jordan.

 He looks like he is sunning himself getting ready for winter. 

 Cutie Pie.

Homework: Read the blog, watch the videos and take notes in your graphic organizer for lesson 6 SOLVING PROPORTIONS!

Lesson 6 Vocabulary
Ex 1
Ex 2
Ex 3
Ex 4

As always in MATH,

Mrs M

Graphing Proportional Relationships - Lesson 5

Hello Girls and Boys,

We are still working on Proportional Reasoning, but rather than looking at tables and seeing if two ratios are proportional(equivalent) we are looking at graphing them.  So with graphing, comes a whole host of vocabulary terms that are related to graphs.  Such as coordinate plane, quadrants, ordered pair, x and y coordinates, x and y axis, and origin.  All these can be more easily plotted on a graph rather than defined.  So go to page 45 in your textbook, and copy the graph and labels (vocabulary terms) in your ribbon book.  We will be going over these terms in class, so this will help also.  But, let's get back to determining if a ratio is proportional or not proportional.  Lesson 4 was about looking at charts and finding out if the ratios were proportional - equivalent fractions.  This lesson, is plotting a graph and checking if the line is proportional or not.  HINT- if the line travels through the origin and is a straight line, then it is indeed proportional.  If it is a straight line but does not pass through the origin, it is not proportional.  Hang on for another thrilling ride!

Well, Elijah, you did a fine job with these pictures- how sweet.
Top left is Dexter-Bottom left is Bernard-Top right is Betty-Middle right is Hank- Bottom right is Roxy. 
Homework:
 Read the blog, watch the videos, take notes in graphic organizer and complete your vocabulary graph in your ribbon book for lesson 5- GRAPHING PROPORTIONS.

Graphing Proportions VOCABULARY
Ex 1
Ex 2
Ex 3

As always in MATH,
Mrs M

Proportional and Non Proportional Relationships - Chapter 1.4

Good evening Girls and Boys,

I believe that most of you have got the last lesson on Dimensional Analysis - converting units- and I believe this is the toughest concept in the book, so it is all smooth sailing from here!!! Yippppeeeee...

We are moving onward to Proportional and Non Proportional Relationships.  These words are fancy ways of saying equivalent fractions(ratios)! So to be proportional is to be equivalent or the same value.  Example: 2/3=4/6=6/9 

To be non proportional means to be not equivalent or not the same value.  Example: 1/3  does not equal 1/2

And the third vocabulary term is Equivalent Ratios. These are really equivalent fractions = Equivalent Ratios= Proportional.

So hang on for some practice and ask questions if needed.  

Homework: Read the blog, watch the videos, complete vocabulary, and take notes in your graphic organizer for Lesson 4 Proportional and Non Proportional Relationships.

Meet the little sleeping beauty, Roxie. She is 5 months old and is loved by Gabe. What a darling.

Vocabulary terms

Ex 1

Ex 2

Ex 3

Ex 4

As always in MATH,

Mrs M