It’s a Magnificent Monday for Math

1. Take out your Math materials for class.

2. Warm Up: Green Book p. 11 (1-6)

3. DEAR until we begin…

1) 6 ÷ t or 6/t 2) y – 25 3) 7(m + 6) 4) 7m + 6 5) a. 8n b. 8(23) = $184 6) 15 + d $17.50

Warm Up Answers p. 11 (1-6)

# correct 8

Make sure your notebook cover sheet looks like this.

#. Date Book Brief Description1. 11-14 C&S Problem 2.1, ACE 1-3, 9-132. 11-15 C&S Problem 2.2, ACE 4, 5,

14-183. 11-16 C&S Problem 2.3, ACE 6-8,

19-21, 244. 11-17 C&S Problem 2.3, ACE 22, 23

5. 11-28 C&S Problem 3.1, ACE 1-3, 13-18, 33

BIG IDEA: Unit Rates and their connection to ratios and linear relationships

You Will Need: 3.2 Handout Calculator

Turn in your book to page 34

Q: In which situations is quantity being compared to one unit of another?A: ALL! How do you know…?

Q: These are examples of unit rates…in other words…it tells us how many per ONE of the units. For example, “miles per hour” tells how many miles were travelled in ONE hour. What are some other “unit rates” you know of in the real world?

A: beats per minute, cost per gallon, words per minute, etc…

Does the statement “440 miles travelled in 20 gallons of gas” represent a unit rate? Why or why not?

Speakers, Let’s hear what you said!

Discuss these questions with your group. Writers…record your group responses to share. All others, record EXACT answers in your notebooks! (PEAK)

5 minute timer online

The listed prices are for orders of 10, 15, or 20 calculators. But it's possible to figure the price for any number you want to purchase. One way to figure those prices is to build a rate table. A rate table is started below.

The listed prices are for orders of 10, 15, or 20 calculators. But it's possible to figure the price for any number you want to purchase. One way to figure those prices is to build a rate table. A rate table is started below.

Notice th

e table

“jumps”

from 15

to 20!

53 Fraction - 20 + 20 + 10 + 3 = 53$120 + $120 + $60 + $18 = $318

or 53 x $6 = $318

27 Scientific - 20 + 5 + 2 = 27$320 + $80 + $32 = $432

or 27 x $16 = $432

9 Graphing - 5 + 4$400 + $320 = $720

or 9 x $80 = $720

$390 / 6 = 65

$84 / 6 = 14

$2500 / 80 = 31

$560 / 80 = 7

Division

Define Variables : calculators - c, price - p…Equations…Fraction p = $6cScientific p = $16cGraphing p = $80c

Do you know another way to write the equations to still mean the same thing?

SUMMARY OF TODAY…What patterns do you see in the tables?•Doubling # calculators doubles the price

•The change in price from 1 calculator to 2 calculators is equal to the unit price

•Unit price can be found by dividing the total cost by the # calculators

•Graphing calculator cost increases more rapidly

SUMMARY OF TODAY…

What would be the shape of the graphs of the data in these tables?

•Straight lines!

SUMMARY OF TODAY…

How would the graphs be alike and different?

•They would both be lines in the same positive direction

•Steepness of the lines graphed would be different

SUMMARY OF TODAY…

How can you write ONE equation to compute the price of ANY NUMBER of calculators of ANY KIND?

•P = CN

(p- total price, c- cost per calculator, n- # calculators bought)

Make sure your notebook cover sheet looks like this.

#. Date Book Brief Description1. 11-14 C&S Problem 2.1, ACE 1-3, 9-132. 11-15 C&S Problem 2.2, ACE 4, 5,

14-183. 11-16 C&S Problem 2.3, ACE 6-8,

19-21, 244. 11-17 C&S Problem 2.3, ACE 22, 23

5. 11-28 C&S Problem 3.1, ACE 1-3, 13-18, 33