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Mathematics Monday Sixth Grade Warm-ups: Week 1 Looking for a Pattern Problems of the Week • • • • • • Language Arts Science Social Studies Connections Physical Ed. & Health Music Language Arts • As a new year’s resolution, NehNeh plans to put $10 into her savings account in January, $15 in February, $20 in March, $25 in April, and so on. If Neh Neh carries out her resolution how much will she have put into her savings account for the entire year? A. $900 B. $450 C. $225 D. $65 Answer Science • Neh Neh loves to bounce a ball. She dropped a ball from a height of 64 feet. After the first bounce the ball rebounded to a height of 16 feet. After the second bounce, the ball rebounded to a height of 4 feet. After the third bounce, the ball rebounded to a height of 1 foot. If the the pattern continued, what was the rebound height of the ball after the fourth bounce? A. B. C. D. 0 4 8 3 ft. ft. in. in. Answer Social Studies • One of Neh Neh’s favorite hobbies is to find patterns. She found a pattern in the lengths of tiles in a Mayan temple that intrigued her. The tiles along a wall were 1.2 feet, 1.0 feet, 2.0 feet, 1.8 feet and 2.8 feet and so on. What would the best rule to describe this sequence? A. Subtract 0.2, multiply by 2 B. Subtract 0.2, add 1 C. Add 0.2, multiply by 2 D. Add 0.2, add 1 Answer Connections • Neh Neh is challenging her friends at McClure with a sequence of numbers that follows this rule: • Begin with 4, add 3, then add 6, then add 12 and so on, doubling what you add each time. • What is the seventh term of the sequence? A. B. C. D. 49 97 193 385 Answer Physical Ed & Health • Neh Neh has discovered a new mathematical operation that she is thinking of naming after herself. The operation uses the symbol §. • Here are some sample problems: • 1§2=4 • 2 § 3 = 12 • 3 § 4 = 24 • 4 § 5 = 40 • What is the value of 5 § 6? A. B. C. D. 55 60 76 80 Answer Music • The triangular numbers are Neh Neh’s favorite series of numbers. The first four numbers are listed below • 1 • 3 • 6 • 10 • What is the fifth triangular number? A. B. C. D. 20 16 15 14 Answer Language Arts- Answer • Correct answer: B • One possible way to solve the problem is to make a table listing each month and the amount saved for that month (January- 10, February- 15, March- 20, etc). When you have all of the amounts listed, add the numbers together. Science- Answer • Correct answer: D • Each bounce is one fourth of the bounce before it. To answer the question, you can either multiply the third bounce by 1/4 or divide the height by 4. • One foot divided by four is three inches. Social Studies- Answer • Correct answer: B • Try applying each set of rules to the numbers to see which set works. In this case B, is the choice that works. • Take the first number, subtract 0.2 from it to get the second number. Then add 1 to the result to get the third number. Subtract 0.2 from that number to get to the fourth. And so on… Connections- Answer • Correct answer: C • One possible solution is to• • • • • • Start with 4 + 3 to get 7. Next 7 + 6 to get 13. Next 13 + 12 to get 25. Next 25 + 24 to get 49. Next 49 + 48 to get 97. Finally, 97 + 96 to get 193. Physical Ed & HealthAnswer • Correct answer: B • The pattern is to multiply the two numbers, then double the product. • 5 § 6 is 5 • 6= 30, 30 • 2 = 60 Music- Answer • Correct answer: C • The triangular numbers are called that because they can be written as a series of dots arranged in a triangle (1, 3- first row with 1, second row with 2, 6add a third row with 3 dots, 10- add a fourth row with 4 dots, 15- add a fifth row with 5 dots.