Rational Numbers -Diving Fractions

Good Day Girls and Boys,

Today we will be working on Dividing Fractions.  This is the last section we will cover in this chapter, so we are coming to a chapter test on Wednesday, Dec 21!  So let's go over this and make sure we are all ready for the content. 

We have covered this this year when we talked about complex fractions earlier, so this should be fairly familiar.  When dividing fractions, we keep the first fraction, change the division to multiplication and flip the second fraction.  We shorten it to K C F.  And when you are in the operation of division with fractions- turn everything into fractions!  So pay attention to the videos and ask questions if you have any.  

To get ready for this upcoming test, review the videos on NEGATIVE NUMBERS and all of this chapters videos as well.  

Here is Taylor and her sweet nephew, Finley. They are at a farm share and they found 6 precious kittens! 

Homework: Read the blog, watch the videos and take notes in your graphic organizer.  

Dividing Fractions ex 1 2

Dividing Fractions ex 3

Dividing Fractions ex 4

As always in MATH,

Mrs M

Rational Numbers - Multiply FRACTIONS

Good morning Girls and Boys,

We are moving on with our third operation using fractions, and this is multiplication.  Most of you are very familiar with this, but we are taking it a step beyond and using multiplication with negative numbers!  Yikes, we can do it.  

To multiply any fraction, you multiply the numerators together then the denominators together and then to complete it, simplify the answer.  I find this far easier than adding or subtracting as you do NOT need to find the common denominator.   Have fun.

This is Megan's kitten.  His name maybe Leo but not certain as it really doesn't officially have his name yet!  Get on the ball, Megan and name that kitten! 

Homework: Read the blog, watch the videos and take notes in your graphic organizer.

Multiplying Fractions # 1 2 3

Multiplying Fractions # 4

Multiplying Fractions #5

As always in MATH,

Mrs M

Rational Numbers- Adding and Subtracting Fractions

Good day Girls and Boys,

We are moving on with Rational Numbers ( all whole numbers, all fractions and the decimals that end or repeat and they are both positive and negative) and using them to solve fraction problems.  Remember, Sadie, FRACTIONS ARE OUR FRIENDS!  When we work with fractions in adding and subtracting it is the denominator that you must focus on- are the denominators both the same size? If not you must make them the same size.  In addition to the fraction rules, you will also be using your negative rules.  So put on your thinking caps and away we go.  

One word of caution, the videos for this lesson are fine but the labels are a bit messed up. 

SOOOOOOO, I decided to add to the lesson 4 with Lesson 5 so watch these videos as well.

This pup belongs to Ava.  She looks so friendly and sweet.  Her name is Jade and she likes to sleep like this!

Homework: Read the blog, watch the videos and take notes in your graphic organizer.

Add/Subtract FRACTIONS ex 1, 2

Add/Subtract FRACTIONS ex 3

Add/Subtract FRACTIONS ex 4
Lesson 5 MIXED NUMBERS ex 1 & 2

Lesson 5 MIXED NUMBERS ex 3 & 4

As always in MATH,

Mrs M

Rational Numbers- Ordering

Good Afternoon Girls and Boys,

We are moving on with Rational Numbers ( all whole and fractions - both + - plus some decimals + - that end or repeat).  This lesson is ordering them and in Math, ordering means to find out which one is smaller, larger or equal to the other. This is a review from last year with common denominators so we will need to recall this information, but all in all, a fairly easy lesson.  

These are McKenna's brother's RATS!!!! UGH!  Don't think I could have them crawl over me! I am sure many of you would beg to differ with me and find these critters quite pleasing! Enjoy! 

Homework: Read the blog, watch the videos and take notes in your graphic organizers.

Rational Number #1 & 2
Rational Number #3
Rational Number #4

Rational Number #5

As always in MATH,

Mrs M

Rational Numbers - Chapter 4

Good Morning Girls and Boys,

Today we on moving on with RATIONAL NUMBERS.  So, another all important vocabulary term, Rational Numbers.  Rational numbers include all integers ( whole numbers both positive and negative) plus all fractions ( positive or negative ) and SOME decimals ( positive and negative) .  Rational numbers are decimals that end or repeat, but NOT the decimals that do not end or repeat.  The most famous decimal that never ends or repeats is Pi.  We will go over this in class, but make sure you put this down in your graphic organizer that Pi is the most famous IRRATIONAL NUMBER of all!  I'll be checking!

So in these lessons, we will be adding on with our knowledge of integers and negative rules to fractions and decimals.  This is a little tricky but I think you can all handle this.

Awwww...... here is Mr Ryan and his new baby girl, Lydia.  How precious is this?  Congratulations to you and your wife and your beautiful little girl.

Homework: Read the blog, watch the videos and take notes in your graphic organizers.
Ex 1 2 3 Rational Numbers
Ex 4 5 Rational Numbers

Ex 7 Rational Number

As always in MATH,

Mrs M

All About The SIGNS!!!

Hi Girls and Boys,

Welcome back from Thanksgiving break.  I hope you all had a great time with family and friends and are eager to learn.  This is one of the most important concepts that will make your math career easy or hard so let's really learn this stuff.  And remember, when do you use these Rules???? Whenever you see a Negative or Subtraction sign!  There are 4 shortcuts and I am hoping you find these helpful.

Same Signs - Different Signs - Double Signs - Multiply/ Divide

Each of these 4 shortcuts has 2 rules

Same Signs                            Different Signs             

1. Add digits                          1. Subtract digits           

2. Add sign                            2. Take sign of larger digit

Double Signs

1. Turn double signs to single signs

2. Go to same signs or different signs

                             

 Multiply or Divide

1. Multiply or divide as usual

2. Count the negative signs

     * if odd number of negative signs- the answer is negative

     * if even number of negative signs- the answer is postive

Now go through the videos and write the above rules and the examples from the videos on each rule.  I will be checking this in the morning so make sure you do so.

These are Alex's pets, Molly and Stewie! Aren't they adorable?  
Homework: Read the blog, watch the videos and take notes in your graphic organizer. 

All about the SIGNS!

All about the Signs!

As always in MATH,

Mrs M

CHAPTER 3 Integers!!! Number Systems

Good day Girls and Boys,

Today we embark on a new chapter called INTEGERS!  This is a review from 6th grade but it is so important to understand just what integers are!  Integers are Whole Numbers- so no fractions or decimals allowed in this group. Integers can be both positive and negative!  So on a number line, 0 cuts the line into the positive numbers and the negative numbers.  In this chapter you will be able to calculate all 4 of the operations ( + - x /) with integers, but also learn what they really represent.

Our second vocabulary term is Absolute Value.  Absolute Value is the DISTANCE from that number and 0.  Distance can only be positive, so Absolute Value is always positive.  We will go over this in class but ask questions if you do not understand this.

There will be a pop quiz over these videos on Thursday so make sure you do a nice job on your notes!

This little sweetheart belongs to Ellie. Look at her smile!  

Homework: Read the blog, watch the videos and take notes in your new graphic organizer.
Integers Vocabulary
Integers more vocabulary
Integers - Absolute Value
Integers 1,2,3,

Integers Ex 4, 5

Integers Ex 6

As always in MATH,

Mrs M

Simple Interest

Dear girls and boys,

Oops, I made a mistake, last lesson was NOT the final lesson, 

this one is! Sorry.  

This lesson is about interest earned or paid.  It is based on percents so that is why this lesson is in this chapter on PERCENTS.  Interest can be made when save money in a bank, the bank pays a small interest to you for letting them use your money, or it can be paid out if you take out a loan.  So you will need to figure the interest rate and then either add to the balance or subtract from the balance.   There are several vocabulary terms for this lesson. Principal is the first term and No, it is not Mr Riley.  When you are talking money, principal is the money either  deposited or  borrowed.  Simple Interest is the money paid or earned from that loan or deposit.  There is a universal formula on how to figure out interest.  This is I = PRT.  In words, this is Interest = Principal * Rate * Time.  We will go over this in class as well as the videos. Ask QUESTIONS!!!! 

And meet Raven, Callie's little kitty.... I think you need to look hard to find her!  

Homework: Read the blog, watch the videos and take notes in your graphic organizer.

Simple Interest VOCABUALRY

Simple Interest Ex 1 & 2

Simple Interest Ex 3

Simple Interest Ex 4

Simple Interest Ex 5

As always in MATH,

Mrs M

DISCOUNT

Good Day Girls and Boys,

As promised, this LAST lesson in this chapter on Percents is talking out Discount, that is the subtracting from the beginning costs.  Discount is the amount that is reduced from the cost.  We are all familiar with discounts as they are often referred to as a Sale.  And all of us love a bargain! 

Figuring out this is much like the other lesson on Sales Tax, Tip, and Markup,but in reverse where the percent is taken off.  This is my kind of percent!

Meet Ellie !  She is playing with her little toy and looking pretty content sharing Sadie's bed! What a little sweetie!

Homework: Read the blog, watch the videos and take notes in your graphic organizers.
Ex 1 Discount
Ex 2 Discount
Ex 3 Discount

Ex 4 Discount

As always in MATH,

Mrs M

Sales Tax, Tips, and Markup

Dear Girls and Boys,

We are now working on some of the REAL WORLD examples of percents using Sales Tax, Tips and Markup.  You must be very familiar with sales tax if you have ever bought anything in a store.  The price on the tag is not the price you actually pay as a certain percent of money is added to most items you buy.  This money goes to the state or federal governments so they can spend money on needed projects.  Along with sales tax, tips are also a percent of money added to a meal that you eat at a restaurant. This payment is for good service and it goes to the waitress as part of her pay.  I bet you have seen your parents add a tip to their bills when you go out to eat.  Markup is what a store needs to add to the goods to make a profit that goes to expenses for the business.  So, this lesson is on money that is added on to the price of goods and the next one will be about money that you take off as in a sale! 

These are the State of Maine Champions for Soccer !  Some of the players on our team are, Kyle, Hunter, William, Eli, Thaddeus, Jacob, and Ben 

Homework:Read the blog, watch the videos and take notes in your graphic organizer. 

Sales Tax, Tips, Markups

Ex 1 Sales Tax, Tips, Markup

Ex 2 Sales Tax, Tips, Markup

Ex 3 Sales Tax, Tips, Markup

 For your enjoyment only- no, you do not need to write this down!!! 

Ex 4 Sales Tax, Tip , Markup

As always in MATH,

Mrs M 

PERCENT of Change

Hi Girls and Boys,

We are moving on with percent and this time it is PERCENT of Change.  Did you ever think there were so many topics on PERCENT?  Me either! 

To change in math generally means to go up or down, and with percent of change, this is to measure the amount of change when things are marked up or marked down.  There will be several vocabulary terms in the next following lessons, so pay attention to them and really listen and learn what each means.  There are 3 formulas ( shortcuts ) to figure out the 3 types of change:

Percent of INCREASE = difference / original amount

Percent of DECREASE = difference / original amount

Percent of ERROR= difference /Actual amount 

Hang on and ask questions along the way......

This little darling is Bandit and he belongs to Taylor.  He is eight years old and just taking a nap.  I think he thinks he's a baby!

Homework: Read the blog, watch the videos and take notes in your graphic organizer.

Percent of Change OVERVIEW

Percent of Increase

Percent of Decrease

Percent of ERROR

As always in MATH,

Mrs m

Percent EQUATION

Good Day Girls and Boys,

We are looking at solving more PERCENT problems in a different way, this time with PERCENT EQUATIONS.  Percent Equations are so similar to Percent Proportions, the difference maybe hard to remember!  Let's see if you can do it!

This is Josh and his beloved dog, Pepper. She is a cross between a greyhound and a black lab.  What a darling puppy.

Homework: Read the blog, Watch the videos and take notes in your graphic organizer.
Percent Equation Overview

Percent Equation Ex 1
Percent Equation Ex 2

Percent Equation Ex 3
Percent Equation Ex 4

As always in MATH,

Mrs M

The Percent PROPORTION

Good Morning Girls and Boys,

We are moving onward to using percents as PROPORTIONS! Does this ring a bell?...... Proportions are having one ratio(fraction) equal to another, but in this case, one of the ratios will be a percent. On page 122 in your textbooks, there is a list of 3 ways to solve these types of problems.  We will go over these in class, but these will take some time and practice on your part to really understand them.

Hunter is a running machine! Here he is in a race and he came in number ONE for the k7th graders! Way to go Hunter!

For Homework: Read the blog, watch the videos and take notes in your graphic organizer.

TYPES of Percent Proportions
Percent Proportion Ex 1
Percent Proportions Ex 2
Percent Proportions Ex 3

Percent Proportions Ex 4

As always in MATH,

Mrs M

PERCENT and ESTIMATION

Good Day to all of you, 

We are moving onward with Percents and Estimations.  This lesson is such a practical lesson as using estimation skills will help you throughout your lives.  Having a general idea of how much things cost will help make certain that you are paying the correct price or receive the correct change when shopping.  We will dive deeper into percents and use our estimation skills in this lesson.  Ask any question you have.   

This is Jasmine.  What a cutie !  She is loved by Erin.

Homework: Read the blog, watch the videos and take notes in your graphic organizer.
Ex 1 Percent and Estimation
Ex 2 Percent and Estimation
Ex 3 Percent and Estimation
Ex 4 Percent and Estimation

Ex 5 Percent and Estimation

As always in math,

Mrs M

Constant Rate of Change - Slope

Good Day to all,

We are building on Proportionality and moving on with Constant Rate of Change.  The words fairly much say it, Constant - meaning that the difference between the 2 unit stays the same, very much like equivalent fractions with labels.  Go through the videos and take notes and ask questions in class.

We are getting close to the end of the chapter, this means that there will be chapter test SOON.  

This great looking pup is Sydney's and his name is Brady.  What a cutie.  

Homework: Read the blog, watch the videos and take notes in your graphic organizer.  
Ex 1 CONSTANT Rate of Change

Ex 2 CONSTANT Rate of Change

Ex 3 CONSTANT Rate of Change

Ex 4 CONSTANT Rate of Change

As always in MATH,

Mrs M

Solving Proportional Relationships

Good Day to all of you,

We are moving on with Solving Proportions.  Just a quick review of what proportions are..... a proportion is an equation that shows 2 ratios or 2 rates are equivalent.  For example: 6/8 =3/4.  

These are actually 2 proportional fractions as they have no labels, but rates, ratios and fractions act in similar ways. The second part of this lesson is that we can solve these proportions by CROSS PRODUCTS.  We have done some crossing out of the numerator and denominators in previous chapters, and again this is similar.  Take a look at the examples and ask questions in class.  

This is Maddie's grandmothers' puppy Hattie.  She is 6 weeks old and full of joy.  

For Homework: Read the blog, watch the videos and take notes in your graphic organizer.

Ex 1 Proportional - cross product

Ex 2 Proportions

Ex3 Proportions

Ex 4 Proportions

As Always in MATH,

Mrs M

Converting Unit Rates

Good evening girls and boys,

We are now on our third lesson from this chapter and it is Converting Unit Rates. Do you get the feeling that Unit Rates are important?!!! This lesson is a tad difficult, but we will take it in steps.  The lesson covers one step conversion as well as a two step conversion.  This is a great deal of work, so we will divide this lesson into two...... 

The vocabulary for this lesson is Unit Ratio and Dimensional Analysis ( now THAT is a vocab word!).   Unit Ratio is rather similar to unit rate.  Unit Ratio has a denominator of 1 but both units are the same.  Unit Rate the units are different.  

Dimensional Analysis is the process of converting the units.  I bet this is as clear as mud, but hang on and it should be clearer soon.  

Here are two of my puppies.  The little lady in purple dots is Tequilla who is 8 years old and the little lady in blue dots is Lola who is 6 years old. 
 Please send in pics of your pets or interests.

For homework: Read the blog, watch the videos and take notes in your graphic organizer.
Converting Unit Rates VOCABULARY
Converting Unit Rates Ex 1
Converting Unit Rates Ex 2
Converting Unit Rates Ex 3

Converting Unit Rates Ex 4

As always in MATH,

Mrs M

Complex Fractions and Unit Rates

Good Evening girls and boys,

We are onto our second lesson, and we will be covering FRACTIONS!( Do you hear that Sadie?!!!) Not only fractions, but Complex Fractions.  Complex Fractions are fractions within a fraction. Oh, boy, just when you think you have a handle on fractions, we go and complicate things!  Hang on, don't panic, and we will go over this step by step.  You will need to put forth a great effort and practice practice practice! 

There will be remedial VIDEOS on + - x / Fractions that you may/should view to remind you of the operations with simple fractions.

I want to introduce you to my Momma.  This is her in front of her garden that she just planted in spring.  

Homework: Read the blog, watch the videos and take notes in your graphic organizers.

Complex Fractions VOCABULARY

Complex Fraction Example 1

Complex Fraction Example 2

Complex Fractions Example 3

Complex Fractions Example4

Complex Fractions Example 5

As always in MATH,

Mrs M

Hi Welcome to the Stroudwater River TEAM!

Hello Everybody,

It is so nice having you here.  We are off to an exciting new year of learning and wonderment.  You will be watching many videos on instruction on concepts as well as other real life connections to math.  We will be  starting off slow and soon you will be pros at this blog, the videos and the routine of your math class. Welcome aboard to the 2016/2017 STROUDWATER TEAM!

In math we will be starting off with Rates and Proportional Thinking.  Blowing out the cobwebs from the long summer break, can you recall what rates are?  Rates are common place in your life and you see and use them frequently.  When  you play sports, you are applying rates. When you sing or play songs or instruments, you are using rates.  When you go shopping, you are using rates.  Rates surround you in everyday life.  For example; if you buy a gatorade for $1.29.  This rates is 1.29 for 1. Here you are comparing the drink to the price.  If you win run a 5K, your speed ( rate ) could be 5k in 2 hours.  The rate is kilometer per time.  And lastly, if you read music, you may be looking at 4 beats per measure.  This is another example of rate.  Rate is the comparison of two DIFFERENT units.  The second vocabulary term for this  lesson is Unit Rate.  A unit rate is when you have a denominator of 1 unit.  Having a denominator of one makes it so you can easily compare one thing to the other.  For example: Cereals at the store are all different sized boxes.  If I know what 1 ounce of EACH cereal cost, then I can decide which box I would like to purchase if I am looking at cost.  Unit Rates are often taped onto grocery shelves for most products. This can really help shoppers get the best bargain. . 

Watch the videos and take notes in your graphic organizer for LESSON 1.  Take Pride in this Product and do your best work always.

This is one of my 16 grandchildren !!!! His name is Isaac and he is the one who left you a message on the board.

Please send me photos of you, your family or pets that you want me to share on this blog.

For HOMEWORK: Read the blog, watch the videos and take notes in your graphic organizer! 
Rates and Unit Rates VOCABULARY 

Real Example of RATES
Comparing Prices by UNIT RATES

As always in MATH, 

Mrs M