Wednesday, November 18, 2015

Week of November 30 - Dec. 4, 2015

MIGHTY FALCONS,

THE CHRISTMAS BREAK IS QUICKLY APPROACHING AND THIS IS THE TIME WE ALL LOVE BUT WE MUST MAKE SURE WE STAY ON TASK SO THAT WE DON'T STAY BEHIND. WE HAVE BEGUN WORKING WITH RATIOS AND I REALLY HOPE YOU ENJOYED THE KOOL-AID RATIO LAB PROJECT IN CLASS. I SAW MANY OF YOU MAKING MATH CONNECTIONS TO THE REAL WORLD! :)

THIS WEEK WE WILL BEGIN WORKING WITH RATES AND UNIT RATES IN WHICH I WILL PROVIDE MORE EXAMPLES BELOW. CONTINUE GOING OVER YOUR INTERACTIVE NOTEBOOKS ON A DAILY BASIS AND I GUARANTEE YOU WILL SEE PROGRESS ON QUIZZES AND TESTS.

RATES AND RATIOS

The ratio is the relationship of two numbers. For example you have 2 flashlights and 5 batteries. To compare the ratio between the flashlights and the batteries we divide the set of flashlights with the set of batteries.

The ratio is 2 to 5 or 2:5 or 2/5. All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal. 2:5 in decimals is 0.4.

A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

Example:

Sarah is buying jellybeans for her best friend's birthday party. She buys a bag of 10 lb of jellybeans that costs $45. Sarah is wondering how much 1 lb of jellybeans cost.

$\\ \$ 45=4500 \, cents\\\\\\ \frac{4500 \: cents}{10\: lb}=\frac{4500 \: cents{\color{green} \, \div\, 10}}{10\: lb{\color{green} \, \div\, 10}}=\frac{450 \: cents}{1\: lb} \\\\\\ 1\: lb=450\: cents=\$ 4.50\\$