Name _____________ADVANCED Tic-Tac-Toe Homework for the week of May 11, 2015 - DUE FRIDAY In his diary, Joshua numbers all the pages consecutively, beginning with 1. This requires a total of 228 digits. How many pages are in his diary? You must show your work mathematically and explain your strategy. 2)Two congruent isosceles triangles, ABC and DEF, overlap so that their bases are parallel and the vertex of each is the midpoint of the base of the other as shown. If the area of the overlap is 12 sq cm, how many sq cm are in the area of triangle ABC? 3) What number is ¾ of the way from -11 to -3? Segment EF divides rectangle ABCD into square I and rectangle II. The area of rectangle ABCD is 144 sq. cm. The area of rectangle II is three times the area of square I. Find the perimeter of rectangle II, in cm. 5) Five identical circles are arranged in a straight line on a strip of paper. In how many different ways can exactly three of these circles be colored gray? 6)The interior of a circle can be cut into a maximum of 2 regions by one straight line. The interior can be cut into a maximum of 4 regions by 2 straight lines. What is the maximum number of regions into which the interior can be cut by 3 straight lines? 7)The I.M. Hipp Tire Company produces tires for cars and two-wheel motorcycles. One week the company produced a total of 269 tires for 70 vehicles. This included a spare tire for each car by not for any motorcycle. How many motor cycle tires did the company produce that week? 8) Anna wants to cover the outside of a rectangular box with colored paper. The box has a square base with area of 16 square inches. The volume of the box is 80 cubic inches. How many square inches of paper will Anna need to completely cover the box, including the top and bottom, with no paper left over? A rectangle 4cm by 12cm is divided into four triangles, as shown. The areas of three of the four triangles are stated in the diagram. Find the number of sq cm in the area of the shaded triangle.
Tic-Tac-Toe Menu Directions Choose at least any three activities from our tic tac toe menu. When you have completed three activities, you may decide to be finished. Or you may decide to keep going and complete more activities. I choose activities # ________, # __________, # __________, Additionally, I choose activities # __________, # __________, # __________, # __________ Do you have an idea for alternate activities you’d like to do instead for practice? Talk them over with your teacher. I prefer to do the following alternate activities: ___________________________________________ __________________________________________________________________________________ Reflection on Homework Choices (tell what you liked, what was challenging, why you made the choices you made, what you learned, etc.) Were you able to do the work independently? Describe the kind of help your parents or tutors gave you. Student Name: _________________________________________ Date: ______________________ PLEASE MAKE SURE THAT YOU HAVE ATTACHED ALL THE WORK YOU HAVE COMPLETED. IF IT IS A TECHNOLOGY ACTIVITY, MAKE SURE THAT YOUR PARENTS HAVE SIGNED THEIR NAME ON THAT BOX TO CONFIRM THAT YOU DID THE PRACTICE ACTIVITY FOR THE ALLOTTED TIME. THANK YOU FOR ALL YOUR EFFORTS TO LEARN AND BECOME A BETTER MATHEMATICIAN.