Copyright © 2016 by Simple Solutions • Cleveland, Ohio

CiCada Math 1. This year, Sherrod’s grandmother will see the 17-year cicadas for the

third time in her life. How old is Sherrod’s grandmother?A) at least 51 C) exactly 43B) younger than 45 D) none of these

2. The magicicada will emerge in spring of 2016. The last time was in 1999. If Angelica is 27 years old in 2016, how old was she the last time the magicicada emerged?

How old will she be next time the magicicada emerge?

3. If a single female cicada lays 600 eggs, how many female cicadas would it take to lay 1.5 million eggs?

4. If a 13-year brood of cicadas and a 17-year brood both emerge in Year 1, in what year will this happen again? What strategy can you use to easily find this answer? Use this graphic organizer if you need help.

13-Year and 17-Year Cicada Emergences Find the least common multiple of 13 and 17. Use a calculator to help you find multiples of 13 and 17.

Mult

iples

of

17

34 51 68

Mult

iples

of

13

26 39 52

Copyright © 2016 by Simple Solutions • Cleveland, Ohio

US CiCada toUrStudy the statistics in the chart below (or here if you want to see the maps). Imagine you want to plan a cicada tour, in which you would travel state-to-state to see emerging cicadas every year (only full emergences, not stragglers).

5. Beginning with 2016, for how many consecutive years could you do this?

6. During which years could you complete another tour of equal length?

7. Which year has the most states with cicada emergences?

8. During which years are there no emergences of periodical cicadas?

9. The Cicada broods are identified by roman numerals. Write the roman numerals in order. Which broods are not represented on the chart?

Year Brood State(s)2016 V MD, NY, OH, PA, VA, WV2017 VI GA, NC, SC2018 VII NY2019 VIII OH, PA, WV2020 IX NC, VA, WV2021 X DE, GA, IL, IN, KY, MD, MI, NC, NJ, NY, OH, PA, TN, VA, WV, Washington, DC202220232024 XIII, XIX IA, IL, IN, MI, WI, AL, AR, GA, IL, IN, KS, KY, LA, MO, MS, NC, OK, SC, TN, VA2025 XIV GA, IN, KY, MA, MD, NC, NJ, NY, OH, PA, TN, VA, WV20262027 XXII KY, LA, MS, OH2028 XXII AR, IL, IN, KY, LA, MO, MS, TN2029 I TN, VA, WV2030 II CT, GA, MD, NC, NJ, NY, OK, PA, VA2031 III IA, IL, MO2032 IV IA, KS, MO, NE, OK, TX

Copyright © 2016 by Simple Solutions • Cleveland, Ohio

CiCada Math anSwer Key 1. This year, Sherrod’s grandmother will see the 17-year cicadas for the

third time in her life. How old is Sherrod’s grandmother?A) at least 51 C) exactly 43B) younger than 45 D) none of these

2. The magicicada will emerge in spring of 2016. The last time was in 1999. If Angelica is 27 years old in 2016, how old was she the last time the magicicada emerged?

How old will she be next time the magicicada emerge?

3. If a single female cicada lays 600 eggs, how many female cicadas would it take to lay 1.5 million eggs?

4. If a 13-year brood of cicadas and a 17-year brood both emerge in Year 1, in what year will this happen again? What strategy can you use to easily find this answer? Use this graphic organizer if you need help.

13-Year and 17-Year Cicada Emergences Find the least common multiple of 13 and 17. Use a calculator to help you find multiples of 13 and 17.

Mult

iples

of

17

34 51 68 85 102

119

136

153

170

187

204

221

238

255

272

289

306

323

Mult

iples

of

13

26 39 52 65 78 91 104

117

130

143

156

169

182

195

208

221

234

247

10 years old

44 years old

2,500 cicadas

Year 221 (use a chart or timeline;

find the LCM of 13 and 17)

Copyright © 2016 by Simple Solutions • Cleveland, Ohio

US Cicada TourStudy the statistics in the chart below (or here if you want to see the maps). Imagine you want to plan a cicada tour, in which you would travel state-to-state to see emerging cicadas every year (only full emergences, not stragglers).

5. Beginning with 2016, for how many consecutive years could you do this?

6. During which years could you complete another tour of equal length?

7. Which year has the most states with cicada emergences?

8. During which years are there no emergences of periodical cicadas?

9. The Cicada broods are identified by roman numerals. Write the roman numerals in order. Which broods are not represented on the chart?

Year Brood State(s)2016 V MD, NY, OH, PA, VA, WV2017 VI GA, NC, SC2018 VII NY2019 VIII OH, PA, WV2020 IX NC, VA, WV2021 X DE, GA, IL, IN, KY, MD, MI, NC, NJ, NY, OH, PA, TN, VA, WV, Washington, DC202220232024 XIII, XIX IA, IL, IN, MI, WI / AL, AR, GA, IL, IN, KS, KY, LA, MO, MS, NC, OK, SC, TN, VA2025 XIV GA, IN, KY, MA, MD, NC, NJ, NY, OH, PA, TN, VA, WV20262027 XXII KY, LA, MS, OH2028 XXII AR, IL, IN, KY, LA, MO, MS, TN2029 I TN, VA, WV2030 II CT, GA, MD, NC, NJ, NY, OK, PA, VA2031 III IA, IL, MO2032 IV IA, KS, MO, NE, OK, TX

6 years

2027 - 2032

2024 (two broods)

2022, 2023, 2026

on chart: I, II, III, IV, V, VI, VII, VIII, IX, X, XIII, XIV, XIX, XXII

not on chart: XI, XII, XV, XVI, XVII, XVIII, XX, XXI