Problem Solving Reasonableness Turn to page 84 in your Math textbook (there are screen shots from that page on the next slides) http://www.pearsonsuccessnet.com/snpapp/iText/products/0-328-30556-1/txmath09_g3_main.html?chapter=null&page=null&anchory=null
Which student had a reasonable answer to the problem? Jim Sally Pablo
Some reasonable problems are also considered range problems Some reasonable problems are also considered range problems. (Baseball Problems) Rob eats between 2 to 3 apples a week. What is a reasonable number of apples that Rob would eat in 6 weeks? 2 X6 12 12 Between 20 and 30 Between 10 and 12 Between 12 and 18 Less than 7 C B D 3 X6 18 18 A
Some reasonableness or range problems can be solved making a table. Kyle rides his bike 3 to 4 miles each day. How many days will it take for Kyle to ride 20 miles. Between 2 and 3 days Between 3 and 4 days Greater than 8 days Between 5 and 7 days Day Least miles Greatest miles 1 3 4 8 2 6 9 12 3 12 16 4 5 15 20 6 18 24
Working Together: 1. The Aggies scored 59 points in the first half and 56 points in the second half. How many points did the Aggies score altogether? Points in all 59 56
Working Together: Ms. Rice is driving 92 miles to a meeting. After driving 54 miles, she stops to buy gasoline. How many more miles does she have left? 2. Miles in all 54 92
Working Together: A hotel has 6 to 8 rooms per floor. How many rooms does the hotel have on 5 floors? 3. A. 14 B. 35 C. 24 D. 90
Selena bought 3 packages of socks. The least expensive Working Together: 4. Selena bought 3 packages of socks. The least expensive package was $7 and the most expensive package was $9. What is a reasonable total for the cost of the socks? A. Less than $10 B. Between $10 and $20 C. Between $20 and $30 D. More than $30
On My Own: 5. There are 45 students going on a field trip. Twenty-seven of those students are from Mrs. Unser’s class. The rest are from Mr. King’s class. How many students are from Mr. King’s class? Students in all 27 45
On My Own: 6. Wyoming has 23 counties. Wisconsin has 49 more counties than Wyoming. How many counties does Wisconsin have? Wisconsin counties in all
On My Own: 7. Billy went running for 4 days. The least amount he ran was 2 miles and the most he ran was 5 miles. What is a reasonable total of miles Billy ran? A. 21 C. 6 B. 35 D. 14
On My Own: 8. Jon went to the dollar store and bought five items. The lowest item cost a $1 and the highest item cost $3. What is a reasonable total for the cost of the five items? A. 3 C. 10 B. 19 D. 23