do now 1/3/12 copy hw in your planner. copy hw in your planner. text p.152, #6-24 evens, 27, 31,...
TRANSCRIPT
Do Now 1/3/12Do Now 1/3/12
Copy HW in your planner.Copy HW in your planner.Text p.152, #6-24 evens, 27, 31, & 32
Be ready to copy POTW #5Be ready to copy POTW #5
Chapter 4 “Proportional Chapter 4 “Proportional Relationships”Relationships”
Section 4.1 “Rates”Section 4.1 “Rates”
Section 4.2 “Identifying and Writing Proportions”Section 4.2 “Identifying and Writing Proportions”
Section 4.3 “Solving Proportions”Section 4.3 “Solving Proportions”
Section 4.4 “Similar Figures and Proportions”Section 4.4 “Similar Figures and Proportions”
Section 4.5 “Using Similar Figures”Section 4.5 “Using Similar Figures”
Section 4.6 “Scale Drawings and Scale Models”Section 4.6 “Scale Drawings and Scale Models”
ObjectiveObjective
SWBAT find ratesSWBAT find rates
RATIO-RATIO- uses division to compare two
quantities of the SAME MEASURE.
a to ba to b a:ba:b aabb
You can write ratios three different ways:You can write ratios three different ways:
Section 4.1 “Rates”
Ratios
What is the ratio of: Blue to total Yellow to green Green to red Red to blue
1/17 6/7 7/3 3/1
Try It Out…Try It Out…
SOLUTIONSOLUTION
VOLLEYBALLVOLLEYBALL
A volleyball team plays A volleyball team plays 1414 home matches and home matches and 1010 away away matchesmatches..
a.a. Find the ratio of home matches to away matches.Find the ratio of home matches to away matches.
== 7755a.a.
home matcheshome matches
away matchesaway matches
1414 1010 ==
b.b. Find the ratio of home matches to all matches.Find the ratio of home matches to all matches.
b.b.home matcheshome matches
all matchesall matches
1414 14 + 1014 + 10
== == 14142424 ==
771212
5 ft
9 ft
Find the ratio of the height to the width.
Find the ratio of the width to the height.
Are the ratios the same?
9
5
5
9
NO!!
a ratio that compares two quantities a ratio that compares two quantities measured in different units. measured in different units.
Examples of rates: speed & distance, wagesExamples of rates: speed & distance, wages
45miles45miles hourhour
5 meters5 meters secondsecond
8 dollars8 dollars hourhour
““Rates” Rates”
RATE-RATE-
a rate whose denominator isa rate whose denominator iswhen it is written as a fraction.when it is written as a fraction.
90miles90miles 2 hours2 hours
45 miles45 miles 1 hour1 hour
UNIT RATE-UNIT RATE-11
==UNIT RATEUNIT RATE
÷ 2÷ 2÷ 2 ÷ 2 ==
Finding a Unit RateFinding a Unit Rate
A car travels A car travels 110110 miles in miles in 22 hours. Find the unit rate. hours. Find the unit rate.
110110 milesmiles 22 hourshours == 11 hourhour
5555 milesmiles22 hourshours 22
110110 milesmiles 22 ==
Finding a Unit RateFinding a Unit Rate
During exercise, Sonia’s heart beats 675 times in During exercise, Sonia’s heart beats 675 times in 5 minutes. How many times does it beat per minute?5 minutes. How many times does it beat per minute?
675675 beats beats 5 5 minutesminutes == 1 minutes1 minutes
135135 beats beats5 minutes 5 minutes 55
675675 beats beats 55 ==
Finding a Unit RateFinding a Unit Rate Arnold and Jena went mountain biking on some trails Arnold and Jena went mountain biking on some trails in their town. Based on the information below, whichin their town. Based on the information below, whichone of them rode at a faster pace?one of them rode at a faster pace?
2323 milesmiles 44 hourshours == 11 hourhour
5.75 5.75 milesmiles44 hourshours 4 4
2323 milesmiles 44 ==
Arnold rode 23 miles in 4 hours.Arnold rode 23 miles in 4 hours.Jena rode 16 miles in 3.5 hours.Jena rode 16 miles in 3.5 hours.
16 miles 16 miles 16 miles 16 miles ÷ 3.5 4.6 miles÷ 3.5 4.6 miles
3.5 hours 3.5 hours 3.5 hours 3.5 hours ÷ 3.5 1 hour÷ 3.5 1 hour
ArnoldArnold
JenaJena
STEPSTEP 11 Calculate the unit rateCalculate the unit rate..
1515
3.753.75==
0.250.25
11 == $.25 $.25 per minuteper minute
Write a verbal model and then an expression. Let Write a verbal model and then an expression. Let mm be the number of be the number of extra minutesextra minutes..
STEPSTEP 22
30 + 0.25 30 + 0.25 mm
Evaluate the expression when Evaluate the expression when mm == 22.22.
30 + 0.25(22) = 35.530 + 0.25(22) = 35.5
STEPSTEP 33
Total Bill: $35.50Total Bill: $35.50
Your basic monthly charge for cell phone service is Your basic monthly charge for cell phone service is $30$30, which , which includes includes 300300 free minutes. You pay a fee for each extra minute you use. free minutes. You pay a fee for each extra minute you use. One month you paid One month you paid $3.75$3.75 for for 1515 extra minutes. Find your total bill if you extra minutes. Find your total bill if you use use 2222 extra minutes. extra minutes.
““Rate Rate or or Ratio?”Ratio?”
RateRate RatioRatio
people
people
11
8
inches
ft
13
85hours
miles
2
10
utes
gallons
min5
140
ute
beats
min1
80apples
apples
3
16
Homework
Text p.152, #6-24 evens, 27, 31, & 32