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Enjoy this engaging calendar activity suitable for middle or high school level to solve and determine dates using algebraic expressions. Practice mental math tip for faster solutions. Try again with different sums!
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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