This document contains assignments and math lesson content for Lesson 2.6. It includes: 1) Three assignments due on different dates for textbook questions and an upcoming test 2) Five warm-up equations to solve 3) Explanations of ratio, proportion, means, extremes, and using cross products to solve proportions 4) Two examples of determining if pairs of ratios form proportions and solving several proportions 5) A word problem about maintaining pace to calculate marathon time

1. Lesson 2­6.notebook October 15, 2012
Assignment:
1­­>L2.6, pg.114­115, #3­42 (thirds) ­ Due Wednesday (10/17)
2­­>L2.7, pg. 121­122, #2­40 (evens) ­ Due Thursday (10/18)
3­­>Chapter 2 Test ­ Thursday (10/25)
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2. Lesson 2­6.notebook October 15, 2012
Lesson 2.6 WarmUp:
Solve each equation. Show all work for full credit.
1) 3k ­ 7 = 16
5
2) 2 ­ 3/4x = 1/8x + 9
3) 1/2(5 ­ 2x) = x/2
4) Two thirds of a number reduced by 11 is equal to 4 more than the
number. Find the number.
5) Find 3 consecutive odd integers whose sum is 117.
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3. Lesson 2­6.notebook October 15, 2012
Lesson 2.6:
*ratio ­ a comparison of 2 numbers by division
[x to y x:y x/y]
*proportion ­ an equation stating that 2 ratios are equal
*means ­ the middle terms of the proportion
2:5 = 4:7
*extremes ­ the first and last terms of the proportion
*FYI...in a proportion, the product of the extremes is equal to the product
of the means
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4. Lesson 2­6.notebook October 15, 2012
*FYI...We can use "cross products" to solve proportions
[McDonald arches]
*rate ­ the ratio of 2 measurements having different units of measure
*unit rate ­ a rate that tells how many of one item is being compared to 1
of another item
*scale ­ used when making a model of something that is too large or too
small to be convenient at actual size
*scale model ­ a 3­D reproduction of an item that has been reduced or
increased in size proportionally
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5. Lesson 2­6.notebook October 15, 2012
Lesson 2.6 examples:
Determine whether the pair of ratios form a proportion. Write yes or no.
A) 3/7, 9/14
B) 2.8/4.4, 1.4/2.1
Solve each proportion. If necessary, round to the nearest hundredth.
C) n 6
9 27
5

6. Lesson 2­6.notebook October 15, 2012
D) 7 m
10 14
E) x ­ 3 6
5 =
10
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7. Lesson 2­6.notebook October 15, 2012
F) 4x + 7 6x + 2
15 10
G) Julie ran the first 6 miles in 58 minutes. If she is able to maintain the same
pace, how long will it take her to finish the 26.2 mile marathon?
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