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Algebra Periods 2 ,3, and 5 Thursday 10-02-08
Chapter 2 - Working with Real Numbers Lesson Title: Ch. 2.7 – Problem Solving: Consecutive Integers (pgs.75-78) Objective: To write equations to represent relationships among integers CA Standards: 1, 4, 25, 25.1
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Teaching the Lesson: This lesson provides practice in using parentheses as grouping symbols in writing equations. Consecutive integers, consecutive even integers, and consecutive odd integers are the basis of the equations. n , n + 2, n + 4, and so on, can represent either consecutive even or consecutive odd integers …Example: 15, 17, the equation expressing their sum can be written in terms of the smallest integer (15) … 15, 17, 19 ….15 + (15 + 2) + (15 + 4) = 51
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There is more than one correct way to write an equation about consecutive, consecutive even, or consecutive odd integers… the sum of 3 consecutive integers is 27: n + (n + 1) + (n + 2) = (n - 1) + n + (n + 1) = (n - 2) + (n - 1) + n = 27 Depending on whether n represents the smallest, middle, or largest integer. The second equation has the advantage of its left side,when simplified, being 3n
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Guided Practice: “Oral Exercises” (pg.76) 1-14 samples
Independent Practice: Classwork: “Written Exercises.”(pgs ) 2-18 Evens Pd. 5/6 class: Extra practice worksheet for Period 6 Homework: “Written Exercises” ( pgs ) 1-17 Odds Check your answers from the answers in the book. Study for Quiz 3: Ch. 2.5 and Ch 2.6
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