Someone said, "A picture is worth a thousand words." Turning the words of a problem into a picture or a diagram can help you "see" the problem. By using the part of your brain that visualizes a situation or object, you may see relationships or information that helps you solve the problem. When someone tells you a story, try turning the words into a motion picture or a cartoon. When reading a descrip-tion, try "seeing it in your mind's eye." If you can do these things, this strategy may be for you! Try using a picture or make a diagram to solve this problem:
Every bike slot in a bicycle rack was filled. Donna's bike was in the middle. There
were six bikes to the right of Donna's. How many bicycles were in the bicycle rack?
轮毂电镀Strategy of the Month
55 1. Fred buys a pencil for 30 cents.Sheila pays with 2 quarters. How many different ways can Sheila get money back?Answer_________. List all of the ways below.
55 2. Examine the letters below. Which are symmetric? Draw all lines of symmetry on the letters that are symmetric.
E N S X
555 3. Jason, Trini, and Billy are
arguing over who will be first, second, and third in line for lunch. How many different ways can they line up?
555 4. Take a sheet of paper . Fold it in half.Without opening up the sheet of paper, fold it in half again. If you opened up your sheet of paper now, how many sections would there be? Open up your sheet to check out your answer! Repeat this procress several times, each time adding one more fold to your sheet of paper. Do you see a pattern? Number of Folds Number of Sections
0 1 1 2 2 3 4 5 6
MathStars Home Hints
Every year you grow and change in many different ways. Get someone to help you measure and record these data about your-self.
How tall are you? _____________________How much do you weigh? ______________What is the circumference of your head?
_______________________
55 5. Draw the flip of the shaded figure to create a symmetrical shape.
5SQUARES HAVE EQUAL THAN ARM SPANS.
ARM SPANS THAT ARE LONGER THAN THEIR HEIGHTS.
centimeters.
55 7. How many dots are in the next square in this sequence?
55 8. How many students are in Mrs.
Lander's class?__________
What fraction of students in Mrs. Lander's class have birthdays in June?__________
••••••••••••
••••••••••••••••••
About
The purpose of the MathStars Newsletters is to challenge students beyond the classroom setting. Good problems can inspire curiosity about number relationships and geometric properties. It is hoped that in accepting the challenge of mathematical problem solving,students, their parents, and their teachers will be led to explore new mathematical hori-zons.
As with all good problems, the solutions and strategies suggested are merely a sample of what you and your students may discover. Enjoy!!
Discussion
2.
( E X ) The dotted lines represent the lines of symmetry. Students华泰汽车集团
might find it helpful to determine the lines of symmetry by using a MIRA or a mirror.Number of Folds Number of Sections
0 1 1 2 2 4 3 8 4 16 5 32 6 64
With each fold the number of sections doubles. (Students may state this pattern in a variety of ways.)
1.
(9 different ways: 1. 2 dimes 2. 4 nickels 3. 20 pennies 4. 1 dime & 2 nickels 5. 1 dime & 10pennies 6. 2 nickels & 10 pennies 7. 1 nickel & 15 pennies 8. 3 nickels & 5 pennies 9. 1dime, 1 nickel, & 5 pennies ) Students may use guess and check or systematically write Start with one type of coin, then go to two types of coins, and finally go to three types of coins.
3
(6 different ways) Students may act out this problem or use manipulatives such as teddy bear counters (one red, one blue, one green) to represent the three students. They should keep a table o
r chart to record their results.
4.
5.
Students might find it helpful to trace the figure on a piece of waxed paper and then fold it on the line of symmetry to create the symmetrical shape.
6.(Answers will vary) After measuring their height and armspan, students will need to refer to the
information on squares, tall rectangles, and short rectangles in order to correctly categorize
themselves.
7.(25 dots) Students will analyze the dimensions of each square and note that the next square
should be a 5 x 5 square.
8.(25 students; 3/25 have birthdays in June) Students will neeed to analyze the graph to deter-
mine that there are 25 students and 3 students have June birthdays.
Strategy of the Month
Your brain is an organizer. It organizes infor-mation as it stores that information. When a problem involves many pieces of information,your brain will have an easier time sorting through it if you make an organized list. A list helps you be sure you have thought of all of the possibilities without repeating any of them. Like drawing a picture or making a diagram, making an organized list helps your brain "
see" the problem clearly and find a solution. Try making an organized list to solve this problem: If you must use 15 or fewer coins, how many different combinations of coins can be used to
起亚k5异响make $1.00?
爱卡汽车报价55 1. What part of the M&M'S are not or-ange?
天价换电：整车30万换电池要40万Pack of M&M's red 3
orange 12green 5yellow 9blue 6brown 12light brown 2
Answer:__________ out of __________ are not orange.
55 3. Roger is a very busy boy. He spends
独立悬挂的好处two weeks at basketball camp, one week at
church camp, one week at grandma's house, and three weeks at summer camp during his ten week vacation. Estimate how many days he spends at home on his summer vacation.
Answer:__________days at home on summer vacation.
1
2133
2
4
55
677
88
46
555 2. Graph the ordered pairs on the
coordinate grid. Connect the dots to make a pattern block. You will need to connect A and F. What is the pattern block that you made?A. (2, 6)B. (4, 6)C. (5, 4)D. (4, 2)E. (2, 2)F. (1, 4)
5555 4. There once was a dog who had two
fleas, and on each flea there were three hairs, and on each hair there were four mites. How many mites were on the dog?__________
发布评论