Chapter 1.3 Converting Unit Rates

Good Evening Girls and Boys,

This lesson is about CONVERTING UNITS as the title states.  We are familiar with equal units such as: 12 inches = 1 foot, 60 seconds- 1 minute,  24 hours = 1 day, and so on..... We will be using these unit ratios in this lesson.  This can be a tough lesson that you will need extra practice with, so be prepared to dig in.

Your vocabulary terms for this lesson are UNIT RATIO and Dimensional Analysis.  We have talked about unit rate where the denominator is 1, well, Unit Ratio is having a denominator of 1 with equal units for the numerator- EX: 12 inches/1 foot; 60 seconds/1 minute; 24 hours/1 day...... catching onto the pattern???? Ratio is like a fraction with labels(units) and a Unit Ratio is a ratio with a decimator of 1 unit.  Dimensional Analysis is where you use these Unit Ratios to actually convert one unit to another unit. Ex: going from miles per hours to feet/hour.  Pay close attention to the details as this lesson is dense.

This is Catherine's stunning little puppy!  
She looks like royalty! So sweet.

Homework: Read the blog, watch the videos, take notes in your GO and complete your vocabulary for lesson 3.
VOCABULARY
Example 1
Example 2
Example 3
Example 4
As always in MATH,
Mrs M

GRAPHIC ORGANIZER- Complex Fractions

Hi All,

I believe that many or most of you are doing a fine job with COMPLEX Fractions!!! Sounds scary but really it is 2 fractions together.  I want you to have a graphic organizer completed in your Ribbon Spiral to use as notes if necessary.  So please complete these and glue this into your Ribbon book.

This is Riley's pet hamster, Lily.  
She is a super cute little ball of fur.  

Homework: Read the blog, watch the videos and take notes in your special graphic organizer on Complex Fractions!!

Ex 1

Ex 2

Ex 3

Ex 4

As always in Math,

Mrs M

Complex FRACTIONS and UNIT RATES - Ratios and Proportional Relationships

Good evening to all,

Today in  math we are looking into everyones favorite concepts- FRACTIONS!!! And just to add a bit of spice- we are looking at COMPLEX FRACTIONS!!

 I bet you can hardly wait for all this fun!

That aside, fractions are everywhere and we need to make them our FRIENDS!  There are 4 operations for fractions- add, subtract, multiply, or divide.  Adding and subtracting fractions follow similar rules as well as multiplying and dividing- they follow similar rules.  In this section, we will be looking at the multiplying and dividing fractions and their rules.  I find that these 2 operations are far easier than the adding and subtracting as you do not need to find common denominators.  Complex fractions are fractions inside fractions!!! Don't panic as this becomes fairly easy after a bit of practice.  

This is Andrea's little sweetie- What a love bug!

For homework, READ the blog, take notes in your graphic organizer, Complete your vocabulary term and definition on for 1.2.

VOCABULARY
4 Operations of FRACTIONS

Example 1

Example 2

Extra Practice

Example 3

Example 4

Example 5

As always in MATH,

Mrs M

Good Day to all,

Today we are embarking on a new chapter - Chapter 1 Ratios and Proportional Reasoning!!! I bet you are all just thrilled to pieces.  There will be a few changes this time around so be on the look out for them!

In the past chapter on Probability, we learned how probability is written as either a fraction, decimal or percent, well Ratios are very similar also, they look like fractions.  This standard is a very practical one where we compare many items to find the best bargain, the fastest speed, and several other real world applications.

In lesson 1, the vocabulary terms are RATE, UNIT RATE and RATIO.  A Rate is when you compare 2 different kinds of units as a Ratio ( fraction). For example: my heart beats at 160 beats / 2 minutes.  The different  units here are heart beats and time(minutes).   A Unit Rate is when you simplify the denominator to 1 unit.  So if my heart beats at 160 times/ 2 minutes, I would simplify the ratio(fraction) by 2(denominator) and get 80 beats/1 minute.  So watch the videos and ask any questions either by email or in class or in person.
Watch out for the changes in this chapter- You must write the problem down or use cut and paste with the sheet I gave you. In addition, you must complete VOCABULARY from the blog or videos.  

This is Kylee's little sweetie- I think!!!!  

A BIT SCARY IF YOU ASK ME!!!!!

Homework:  Read the blog, watch the videos- take notes INCLUDING the problem- and VOCABULARY!!  So this is new- write down the problem and complete vocabulary .

VOCABULARY

Example 1

Example 2

Example 3

Example 4a

Example 4b

As always in MATH,

Mrs M

Probability - INDEPENDENT and DEPENDENT Events Lesson 7

Good Day to you all, 

I know you are not able to watch the videos at school, but I hoping this glitch gets fixed before Monday.  So for now, please watch at home as often as you need to.  So, we are on the last lesson for this chapter and this means we will be taking a chapter test - possibly by Thursday!  You have been given your PRACTICE TEST FORM 3A, so please complete these the best you can.  Use your notes, graphic organizers and books as resources if need be.  Psss.... THE SECRET WORDS THAT YOU  NEED TO WRITE IN YOUR GRAPHIC ORGANIZER IN LESSON 7 is "SAMPLE SPACE". 

Onward to lesson 7- the one and only 
LAST lesson for this chapter!  Lesson 7 is Independent and Dependent EVENTS.  We have learned about simple events and compound events, now we are moving onto INDEPENDENT and DEPENDENT EVENTS.  These two words are your vocabulary terms for this lesson.  If you think about the words, what do these mean to you????? Are you independent of your parents or are you still dependents of your parents?  Yes, you are still dependent of your parents and rely on them for many things.  But when you are an adult, you will be independent of your parents and you will be making your own decisions.  Or you can think of our country was dependent of England until we fought a was to become independent of England. Now our country does not need to ask England for anything as we are an independent country.  In math, these words do the same thing -  an independent event does not need support where a dependent event does need to be supported.  Example: spinning a spinner and tossing a coin- the outcome of the spin does not effect the outcome of the toss, so these would be independent events.  It's a little more confusing when you have dependent events.  Example: when you have a bag of red and white marbles.  If you pick up 1 marble and don't put it back in the bag, and pick another marble, the  outcome of the second event is dependent of the first event.  Gad! Lots of words! So , give this a little time to sink in. SECOND SECRET: WHAT DID I DO WRONG ON THE EX 1 part 1 video - hint: it was written!  Write this down in your graphic organizer also!!!

These boxer pups are Amalia's precious babies. The mamma dog is on the bottom and her baby is tackling her.  How cute can it get???

Homework: Read the blog, watch the videos and take notes in your graphic organizers and write down the vocabulary terms. 
INDEPENDENT and DEPENDENT VOCABULARY

EX 1 part 1
EX 1 part 2
Ex 2
Ex 3

As always in MATH,

Mrs M