October Solutions Remember: These are open-ended problems. There could be other solutions than the ones we are giving. Number Theory 1. He will use the coupon and pay \$.35 each. That would be \$4.20 - \$1 = \$3.20 instead of \$3.99. 2. Sara is right because there are more possibilities of getting an even number answer. 3. They bought curtain rods, bath mat, slacks, and a drill. 4. 36 ways 5. Use the formula d = r t. The rate is 5.4 km/hr. Students should draw a diagram first to help. Measurement 6. 145 ft, 10 in.  Students need to remember to change feet to yards. 7. 24 cm by 36 cm. To get 4 times the area you need to double each dimension. 8. 20.57 feet or 20 ft 7 in. Geometry 9. 7 m by 1 m 10. Answers will vary depending on which shapes they choose. 11. They need to remember that the sum of the measures of the angles in a triangle is 180 degrees and that the sum of the angles of a quadrilateral is 360 degrees. Angle A = 125 degrees. Patterns, Algebra, And Functions 12. Check chart for pattern. There are 11 possible pizzas. 13. 36 children. Use a tree diagram. 14. z + 1/2 z + ( z + 1/2 z) + 3 z = 888 6 z = 888 z = 148 Zemo travels 148 space miles, Orb travels 72 space miles, Yuko travels 222, and Sam goes 444. Data, Statistics, And Probability 15. All heads; all tails; 1 head, 3 tails; 2 heads, 2 tails; 1 tail, 3 heads; the probability of 2 heads and 2 tails = 1/5 or 20% 16. There are 60 possibilities. Bar Graph-possible scale is to count by 2's or 5's. Same for Line Graph. Check for labels, title, and spacing. To make the Circle Graph, children need to make ratios. Doritos = 20/60 = 1/3 Popcorn = 15/60 = 1/4 Candy = 12/60 = 1/5 Chips = 10/60 = 1/6 Pretzels = 3/60 = 1/20 When they make the circle graph, they can use central angles or they can estimate. That is up to the teacher. 17. 2 Grab Bag 18. Answers will vary. Check diagrams. HOW DID YOU DO?   October Problems Back to Open-Ended Math Index