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to Class #10! 11/5/14
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11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 2
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11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 4 Better to light a candle for one lost animal than to curse the darkness of man's indifference. Saving just one animal won't change the world but it surely will change the world for that one animal.
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Better to light a candle for one lost animal than to curse the darkness of man's indifference. Saving just one animal won't change the world but it surely will change the world for that one animal. 5
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Warmup – worksheet of most missed test questions!
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Schedule for remaining classes 11/5Quiz #4 and Test #3 corrections 11/12 Quiz #5 11/19 Quiz #6 (last quiz), Give Take- homeTest #4 11/26 Work in class on Take-home Test 12/3Take-home Test #4 due 12/10Review for Final Exam 12/17Final Exam 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 12
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1.Warmup 2.Test Corrections 3.Go over HW # 9: Extra Practice Booklet “Topic 2 Combining similar terms”, Ch. 2 # 2-8, 2-9, 2-10, 2-20, 2-43, 2-45, 2-46 4.Practice adding & subtracting polynomials 5.Graphing 6.The Distributive Property 7.Quiz #4 Agenda 11/14/13
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Test Corrections 14 When you finish your test corrections you can start working on the worksheets (pages 61 & 62)
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Go over HW #9 with your team!
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More practice adding and subtracting polynomials 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 16
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Vocabulary to know A term is an algebraic expression that is a single number, a single variable, or the product of numerals and variables. Examples of terms: 125 (a single number) x (a single variable) 125xy (the product of numerals and variables) 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 17
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Vocabulary to know The number of terms in an expression can help you name the expression. Terms are connected with + or – signs. Monomial – has one term, example: 125xy Binomial – has two terms, ex: 125xy + 4 Trinomial – has three terms, ex: 125x - 4y + 3 Polynomial – has two or more terms, Examples: 2x + 3 and 5x + 7y + 9z – 4 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 18
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Practice worksheets – pages 61 & 62 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 19
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Answers to worksheets – p. 61 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 21
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Answers to worksheets - -. 62 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 22
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Problem 1-7, p. 8 The Eucalyptus Grove
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Eucalyptus Grove –A. (2,2), (3,2), (3,3), (-4,3), (9, -3), and –(-6,-5) –B. Check trees for proper placement. –C. (0,0) –D. (9,6), (12, 8) –E. It is blocked by trees at (3,-1) and (6,-2). –F. (-8, 1), (-8, 3), (-7, 2), (-9, 2) –G. (1, 2), (2, 1), (2, 3), (3, 1), (3, 4), (4, 2), (4, 3) –H. 103
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11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 28 c c
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11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 29 c c c
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11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 30 c c c c
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MORE GRAPHING John’s giant redwood
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Problem 3-10 John’s Giant Redwood
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Objective- To use the distributive property to simplify variable expressions. Distributive Property a(b + c) = ab + ac or a(b - c) = ab - ac
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Order of OperationsDistributive Property 6(3 + 5) 6(8) 48 6(3) + 6(5) 18 + 30 48 Why distribute when order of operations is faster ?
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Use the distributive property to simplify. 1) 3(x + 7) 2) 2(a - 4) 3) -7(8 - m) 4) 3(4 - a) 5) (3 - k)5 6) x(a + m) 7) -4(3 - r) 8) 2(x - 8) 9) -(2m - 3) 10) (6 - 2y)3 3x + 21 2a - 8 -56 + 7m 12 - 3a 15 - 5k ax + mx -12 + 4r 2x - 16 -2m + 3 18 - 6y
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Use the distributive property to simplify. 1) 4(y - 7) 2) 3(b + 4) 3) -5(9 - m) 4) 5a(4 - a) 5) (7 - k)6 6) a(c + d) 7) - (-3 - r) 8) 4x(x - 8) 9) -5m(2m + 3) 10) (6 - 2y)-3y 4y - 28 3b + 12 -45 + 5m 20a - 5a 2 42 - 6k ac + ad 3 + r 4x - 32x 2 -10m - 15m 2 6 - 5y
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Geometric Model for Distributive Property 3 7 4 Two ways to find the total area. Width by total lengthSum of smaller rectangles 4(3 + 7)4(3) + 4(7) 4(3)4(7) =
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Geometric Model for Distributive Property 4 x 9 Two ways to find the total area. Width by total lengthSum of smaller rectangles 9(4 + x)9(4) + 9(x) =
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Subtracting a Quantity 1) -(x + 6) 2) -(2x - 8) 3) 10- (4m + 3) 4) 2(x - 5) - (x - 3) 5) -(3a + 1) 6) -(-3x + 2x -7) 7) -12 - (3y - 8) 8) 4(3k - 5) - (2k + 9) -x - 6 -2x + 8 10 - 4m - 3 - 4m + 7 2x - 10 - x + 3 x - 7 -3a - 1 +3x - 2x + 7 -12 - 3y + 8 - 3y - 4 12k - 20 - 2k - 9 10k - 29 2 2
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HW #10 Extra practice booklet topic #4 “The Distributive property” #1 – 20 Textbook: Chapter 1 #1-14, 1-34, 1-67 Chapter 2 # 2-8, 2-9, 2-20, 2-29 11/29/2015copyright 2006 www.brainybetty.com; All Rights Reserved. 41
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