Do Now 2/8/10 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens, #44, & #47 Be ready to copy POTW #2 Be ready to.

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Do Now 2/8/10 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens, #44, & #47 Be ready to copy POTW #2 Be ready to copy POTW #2

Chapter 6 “Ratio, Proportion, and Probability” Section 6.1 “Ratios and Rates” Section 6.2 “Writing and Solving Proportions” Section 6.3 “Solving Proportions Using Cross Products” Section 6.4 “Similar and Congruent Figures” Section 6.5 “Similarity and Measurement” Section 6.6 “Scale Drawings” Section 6.7 “Probability and Odds” Section 6.8 “The Counting Principle”

Objective SWBAT find ratios and unit rates SWBAT find ratios and unit rates

RATIO- uses division to compare two quantities of the SAME MEASURE. a to b a:b ab You can write ratios three different ways: Section 6.1 “Ratios and 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… SOLUTION VOLLEYBALL A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches. = 75 a. home matches away matches = b. Find the ratio of home matches to all matches. b. home matches all matches all matches = = = 712

RATIO- a comparison of two numbers by division. The two numbers must have the same unit of measure. 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? NO!!

Find the Ratio… On a set of house plans, an architect wants to represent a 30ft length of a room by a 5 inch segment. What is the ratio of the length of the segment to the length of the room? Length of segment 5 inches 5 Length of room 30 ft 1 72 (x 12 inches) = 360 The ratio is 1 to 72. A comparison of two numbers by division. A comparison of two numbers by division. The two numbers must have the same unit of measure Convert feet to inches. 12 inches in 1 foot.

a fraction in which the numerator and the denominator have different units of measure. Examples of rates: speed & distance, wages 45miles hour hour 5 meters second second 8 dollars hour hour“Rates”RATE-

a rate with a denominator of 90miles 2 hours 2 hours 45 miles 1 hour 1 hour UNIT RATE- 1 = UNIT RATE ÷ 2 =

Finding a Unit Rate A car travels 110 miles in 2 hours. Find the unit rate. 110 miles 110 miles 2 hours 2 hours = 1 hour 55 miles 2 hours miles miles 2 =

Finding 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, which one of them rode at a faster pace? 23 miles 23 miles 4 hours 4 hours = 1 hour 5.75 miles 4 hours 4 23 miles 4 23 miles 4 = Arnold rode 23 miles in 4 hours. Jena rode 16 miles in 3.5 hours. 16 miles 16 miles ÷ miles 3.5 hours 3.5 hours ÷ hour Arnold Jena

STEP 1 Calculate the unit rate = = $.25 per minute Write a verbal model and then an expression. Let m be the number of extra minutes. STEP m Evaluate the expression when m = (22) = 35.5 STEP 3 Total Bill: $35.50 Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Find your total bill if you use 22 extra minutes.

“Rate or Ratio?” Rate R Ratio

Writing Equivalent Rates If you are walking 5 meters in 1 second, how many meters will you walk in a hour? There are 60 seconds in a minute and 60 minutes in a hour, so multiply 5 meters by If you can buy 3 pounds for a $1, how many ounces can you buy for a $1? There are 16 ounces in a pound, so multiply 3 pounds by 16.

Homework Text p. 272, #10-36 evens, #44, & #47

“Rational Number Riddles” Complete the Project worksheet “Rational Number Riddles.” Once you have completed #1 a-h, complete #2 and create your own riddles. Make sure you also come up with the solutions. 1)  A. 7/8  B. 7/10  C. -5/6  D. 5/9  E. 5/8  F. 2 1/9  G. 3 13/25  H. 4 1/6

Real-Life Project – “Hiking” Complete the Project worksheet “Hiking.” Once you have completed #1-8, think about #9. What National Park would you like to visit? Why? 1) More than 10 miles: 1/2; More than 15 miles: 2/5 2) 21 2/5 miles 3) 9 4/5 miles 4) 11 7/10 miles 5) 32 2/5 miles 6) 6 times 7) a). Boucher-Hermit b). Widforss 8) Answers vary but should be near 30 miles.