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November 30, 2012 Welcome to Class! Write down the assignment in your agenda Get a blue math book Come see me if you want to pass back papers If you need to finish your test, it will be in zone! November 30, 2012 Notes Module 2 Unit 2 Day 16-G, S: Proportional Relationships Proportion- an equation stating two ratios are ______________________ Cross Products- the two products by one numerator and one denominator of opposite fractions Ex: 6 9 8 12 State whether these two ratios are a proportion. Example 1: Example 2: 3 6 5 30 8 16 9 54 Example 3: Example 4: 6 4 4 5 9 6 8 9 Example 5: A certain shade of green paint requires 4 parts blue to 5 parts yellow. If you mix 16 quarts of blue paint with 25 quarts of yellow paint, will you get the desired shade of green? Explain. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Get a blue math book Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 17-G, A: Solving Proportions Example 1: Solve the proportion using mental math. 3 x 8 24 Solve the proportion using cross products. Example 2: Example 3: 12 x 1 x 15 21 3 25.5 Example 4: If 3 onions weigh 0.75 lb, how much do 10 onions weigh? November 30, 2012 Welcome to Class! Write down the assignment in your agenda PROBLEM OF THE WEEK! Come see me if you want to pass back papers Put your homework on the top left corner of your desk November 30, 2012 Notes Module 2 Unit 2 Day 18-G: Solving Proportions with Story Problems REMEMBER: Labels need to match in numerators and in denominators Example 1: Postcards cost $2.45 for 5 cards. How much will 13 cards cost? Example 2: Swimming goggles cost $84.36 for 12. At this rate, how much will goggles for 17 membesr of a swim team cost? Example 3: At a telethon, a volunteer can take 48 calls over a 4-hour shift. At this rate, how many calls can 12 volunteers take in a 4-hour shift? Example 4: You received $57.04 for working 8 hours. At that rate, how much would you receive for working 11 hours? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Study for your Homework Quiz Come see me if you want to pass back papers Remember to re-take your test! November 30, 2012 Notes Module 2 Unit 2 Day 19: Similar Figures Similar Figures- figures with the same shape but not the same _______________ Corresponding Parts- parts of the two figures that are in the same relative position. F A 4 40 40 4 B C 3 G H 30 Example 1: ΔACT and ΔODG are similar. Find the value of x. C D x cm 50 cm 32 cm 40 cm O 24 cm G A 30 cm T Example 2: A 6-ft-tall person standing near a flagpole casts a shadow 4.5 ft long. The flagpole casts a shadow 15 ft long. What is the height of the flagpole? Example 3: A 6-ft person has a shadow 5 ft long. A nearby tree has a shadow 30 ft long. What is the height of the tree? November 30, 2012 Welcome to Class! Write the assignment in your agenda Come see me if you want to pass back papers Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 November 30, 2012 Notes Module 2 Unit 2 Day 20: Scale Drawings Scale drawing- enlarged or _______________________drawing, similar to the actual object Scale- _____________that relate the real figure and the model Example 1: Using the scale of a map -Pg. 400 Ex. 1 Use the map of Maine to estimate the distance between the towns of China and New Sweden. Example 2: The length of the side of a house is 3 cm tall on the drawing. How tall is the actual house? Scale: 1 cm = 2.5 m Example 3: The chimney of the house is 4 cm tall on the drawing. How tall is the chimney of the actual house? Scale: 1 cm = 2.5 m Example 4: The actual length of a boxcar is 609 in. The length of the model boxcar is 7 in. What is the scale of the model? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers Grab a piece of graph paper from the back table PROBLEM OF THE WEEK! November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 2 Day 22: Graphing Proportional Relationships Proportional Relationships- graphs will be a straight line and go through the origin Which one of these graphs shows a proportional relationship? Proportional relationship equations only have multiplying or dividing: Examples: Non-Examples: y=x y=x+4 y = 2x y = 4x + 4 y = 0.5x y=x+6 y = 2.5x y = 4x + 6 Example 1: If 5 pencils cost $1.20, how much would 12 pencils cost? - You could use a table to solve the problem Pencils 5 6 7 8 9 10 11 12 Dollars $1.20 - You could set up a proportion and solve by Now, graph this information on the following cross multiplying coordinate plane. 5 pencils 12 pencils $1.20 x Is this a proportional relationship? What is the unit rate for 1 pencil? If Miss Cervenka went through 250 pencils last year, how much money did she spend on pencils? November 30, 2012 Welcome to Class! Write the assignment in agenda Come see me to pass back papers Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! November 30, 2012 Notes Unit 2 Day 23: Patterns and Graphs Example 1: The table shows the conversions of yards to inches. Let’s display that same data in a graph. Yards and Inches Number of Yards Number of Inches 1 36 2 72 3 108 4 144 5 180 What is the unit rate? Could you make a prediction about how many inches would be in 7 yards? Example 2: Graph the data in the table below. What is the unit rate? Amount of Yogurt (c) Price ($) 50 26 100 49 150 72 200 95 Example 3: The graph shows the cost of renting a personal watercraft. Estimate for the cost of a 3 and a half hour rental? Watercraft Rentals 400 What is the unit rate? Cost (dollars) 300 200 Use the graph to estimate the 100 cost of an hour and half rental. 1 2 3 4 Time (hours) November 30, 2012 Welcome to Class! Write down the assignment in your agenda Come see me if you want to pass back papers Module 2 Unit 1 Test--TOMORROW!! November 30, 2012 Helpful Hints: Top drops in the box Proportions: Use Butterfly or Toothbrush SHOW ALL YOUR WORK for EVERY problem :) GOOD LUCK!!