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Algebra: Fun with Calendars!. Middle School Or High School Warm-Up Activity. September. Object. When given only the sum, how do we determine what the dates are? 36. Solution. Let’s assume that the first day is n
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Algebra:Fun with Calendars! Middle School Or High School Warm-Up Activity
Object • When given only the sum, how do we determine what the dates are? • 36
Solution • Let’s assume that the first day is n • So, the second day is n + 1, the third day is n + 7, the fourth day is n + 8. • Then we have: • n + (n + 1) + (n + 7) + (n + 8) • 4n + 16 • 4n + 16 = 36 • 4n = 20 • n = 5
Mental Math Tip: • Factor before solving: • 4(n + 4) = 36 • n + 4 = 9 • n = 5 • So the dates are September 5, 6, 12, 13 • Try again with 88…
References • Tara Taylor’s Website • www.stfx.ca/people/ttaylor • Cynthia Lanius’ Lessons • http://math.rice.edu/~lanius/Lessons/calen.html