Sixth Grade
Today, we began working on Investigation 1. There is no homework tonight! The class broke into groups and we will be surveying other classes tomorrow on various topics. Then, each group will make a histogram and frequency table of the information.
Seventh Grade
This morning, the class finished up the last ITBS test. They have worked very hard this week!
Literature - We read the story, "The Sneaker Crisis" by Shirley Jackson today and the assignment is to answer the following questions:
- Thinking About the Selection #1-8
- Analyzing Literature #1-3
- Critical Thinking and Reading #1-2
Don't forget that the spelling unit is due tomorrow! Also, the test is tomorrow, so be sure to study!
Eighth Grade
Lesson 2-6, #2-29 ALL and #32-42 evens.
On the first page, you are asked to determine whether a number is rational or irrational. Remember, a rational number can be written as a fraction. If it is a decimal, it needs to be either a terminating decimal or a repeating decimal. If you can simplify the expression and get rid of the square root sign, it is rational. So, if you have the square root of 25 - that is a rational number because it equals 5!
Irrational numbers are any square roots that aren't perfect roots. So, using the square root tables, you can look up the number under the square root sign to see if it is a perfect root. For example, the square root of 29 is 5.385, according to the table, but this is a rounding number, because the square root of 29 is not a whole number...so it is irrational! Also, any non-repeating, non-terminating decimals are irrational. If you had the following: 0.61611161111611111161111111....., that is NOT repeating the same numbers, so it is an irrational number.
For #27-32, use your calculator to find the square root rounded to the given place. For the square root of 29, what you would do is put the number 29 into your calculator and hit the square root button. It would give you 5.385..... If you were supposed to round it to the nearest hundredth, you would round it to 5.39. If there is a negative sign in front of the square root, just write the answer as a negative. If you have a square root over another number, such as the square root of 5 divided by 3, you would plug into your calculator the following: 5, square root button, divided by button, 3 = . You would get .74535.... If you needed to round it to the thousandth, that would be .745
For #36 -42, you are finding two numbers between any two given numbers. One rational number and one irrational number.
If both of the numbers are rational, such as #36, 40 & 42, to find the irrational number between them, you will need to think about what the numbers are square roots of. For example, to find an irrational number between 8 and 9, you would think that 8 is the square root of 64 and 9 is the square root of 81, so an irrational number between those would be the square root of 70. That is irrational since it is not a perfect square. Then, a rational number between 8 and 9, is any decimal between them, such as 8.5.
If both of the numbers are irrational, like #38, it's a little bit different. Say the two numbers were the negative square root of 35 and the negative square root of 45. Just name another irrational square root between them, such as the negative square root of 38. That's it! To find a rational number between them, think about what perfect square is between 35 and 45? Since 36 is a perfect square, the square root of 36 is a rational number. So you would put the number -6 as being the rational number between them.
I hope this is helpful!
See you tomorrow,
Mrs. Swickey
