First of all, it was GREAT seeing so many students being recognized for A honor roll and A/B honor roll. Overall, there was an improvement in grades from the first quarter to the second quarter.
Last week, we began our unit on fractions. We started with simplifying fractions by finding the greatest common factor. We also practiced converting a mixed number into an improper fraction and an improper fraction into a mixed number.
Today, we went back to simplifying fractions by using prime factorization.
Students have been given outlines of the notes that they are filling in during class as we go through our new vocabulary and skills. Every student should keep the outlines in their binder and use them to help them through their homework and to study for quizzes and the test.
Tomorrow, we will begin multiplying fractions. We are starting with multiplication because prime factorization of fractions should make multiplying much easier. Again, students will have an outline to follow along during class and keep examples for their notes.
Wednesday we will work in stations to review the fraction concepts we have covered so far. There will be a station for simplifying fractions by finding the GCF, simplifying fractions through prime factorization, converting mixed numbers into improper fractions, converting improper fractions to mixed numbers, and multiplying fractions.
Thursday will be a quiz covering the above skills
On Friday, there will be a review for the ClassScapes test they will take next week (Monday and Tuesday). After the ClassScapes testing, we will resume our unit on fractions.
Monday, January 30, 2012
Tuesday, January 24, 2012
School Supplies
I know Mr. Eudy included a note in his email about needing school supplies. I told students today that I will trade cat cash for packages of pencils. It is important that students have pencils in math class and I hate to see grades suffer becuase students do not have the supplies they need. Thank you!
Tuesday January 24, 2011
Today begins the 3rd nine weeks! This is a great opportunity for students to "buckle down" (as Dr. Pinto likes to put it) and finish strong for the year. Overall, scores in my class were UP since first quarter. This means that many students are learning from their mistakes and getting a feel for what it takes to be successful in 6th grade math.
Today, students will receive their graded Unit 5 tests. Overall scores were lower than I expected, especially since 1/4th of the points were review questions. We will be going over the test today in class and hopefully students realize where they made their mistakes. I am going to refresh them on test taking skills as well, as some students did not manage their time very efficiently. Also, being a multiple choice test, it was possible to eliminate 2 or even 3 answers without even doing any calculations. I think there was a lot of guessing and not much checking to see that their answer makes sense.
Also today, I will again remind students that if they are not getting homework turned in, they will be staying inside during recess to finish their incompleted work. Hopefully this motivates them to get it turned in on time and their grades will continue to improve.
Tomorrow, students will take the pre test for unit 6 - Fractions
We will being our Fractions unit on Thursday. There will be a short homework assignment for tonight as a review before we get started with fractions. They may have some time in class to begin.
Homework - Workbook Page 26, even numbered problems 2-20
Today, students will receive their graded Unit 5 tests. Overall scores were lower than I expected, especially since 1/4th of the points were review questions. We will be going over the test today in class and hopefully students realize where they made their mistakes. I am going to refresh them on test taking skills as well, as some students did not manage their time very efficiently. Also, being a multiple choice test, it was possible to eliminate 2 or even 3 answers without even doing any calculations. I think there was a lot of guessing and not much checking to see that their answer makes sense.
Also today, I will again remind students that if they are not getting homework turned in, they will be staying inside during recess to finish their incompleted work. Hopefully this motivates them to get it turned in on time and their grades will continue to improve.
Tomorrow, students will take the pre test for unit 6 - Fractions
We will being our Fractions unit on Thursday. There will be a short homework assignment for tonight as a review before we get started with fractions. They may have some time in class to begin.
Homework - Workbook Page 26, even numbered problems 2-20
Friday, January 20, 2012
Friday Jan 20, 2012
I have graded the Unit 5 tests and decided that we will use the 25 minute class periods today to make corrections for partial credit. The overall low grade average was a suprise to me given the amount of time we spent on reviewing for this test. Students were given a study guide last week, we reviewed in class, and I told them exactly how many of each type of question would be on the test. There were some students that did very well, and it was obvious that they used their time to prepare for the test.
Students will receive their graded test, and can fix the questions they missed for half credit. Today is the last day of the quarter, so this will be their final grade on their report card. Any missing work must have been turned in by today to receive credit
Students will receive their graded test, and can fix the questions they missed for half credit. Today is the last day of the quarter, so this will be their final grade on their report card. Any missing work must have been turned in by today to receive credit
Wednesday, January 18, 2012
Updated Test info
Tomorrows test will consist of 18 multiple choice questions covering the following topics......
There will be 7 questions that are review from previous lessons. They will cover scientific notation, multiplying decimals, dividing decimals, and finding the percent of a number. There questions are relatively simple compared to what they may have seen today.
The last eleven questions will cover listing factors, lcm, gcf prime factorization (draw a factor tree!), and prime and composite numbers. All questions are multiple choice, so students will see the answer in front of them. I will remind students to use their vocabulary to eliminate bad choices in order to pick the best answer
******Here are a few examples from what they will see on the test*****
What is another way to write 6 to the 5th power (in standard form)
answer: 6x6x6x6x6x6
Write 5,730,000 in scientific notation
answer: 5.73 x 10^6
What is 25% of 120?
answer: 30
If a piece of candy costs $0.79, how much would 6 pieces of candy cost?
answer:$4.74
What is the GCF of 12 and 36
answer: 12
What is the LCM of 10 and 8
answer: 40
What is the prime factorization of 40?
answer: 2^3 x 5
What are the first 10 prime numbers?
answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
There will be 7 questions that are review from previous lessons. They will cover scientific notation, multiplying decimals, dividing decimals, and finding the percent of a number. There questions are relatively simple compared to what they may have seen today.
The last eleven questions will cover listing factors, lcm, gcf prime factorization (draw a factor tree!), and prime and composite numbers. All questions are multiple choice, so students will see the answer in front of them. I will remind students to use their vocabulary to eliminate bad choices in order to pick the best answer
******Here are a few examples from what they will see on the test*****
What is another way to write 6 to the 5th power (in standard form)
answer: 6x6x6x6x6x6
Write 5,730,000 in scientific notation
answer: 5.73 x 10^6
What is 25% of 120?
answer: 30
If a piece of candy costs $0.79, how much would 6 pieces of candy cost?
answer:$4.74
What is the GCF of 12 and 36
answer: 12
What is the LCM of 10 and 8
answer: 40
What is the prime factorization of 40?
answer: 2^3 x 5
What are the first 10 prime numbers?
answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Wednesday January 18, 2012
Yesterday our schedule was slightly different due to language arts testing all afternoon. My core 1 and core 2 classes used the class period to review for the test tomorrow, while core 3 and 4 completed their language arts tests.
Today, all 4 classes will be playing a review "Jeopardy" game. Catagories for todays questions include vocabulary, LCM/ GCF, old stuff (there will be a couple of questions on the test from previous units), prime factorization, and divisibility rules.
The top 3 teams will earn cat cash for their efforts. I will be posting sample test questions later today for students to study this evening.
The test tomorrow will be the last grade of the 2nd nine weeks, and a good test score has the potential to raise a quarter grade as much as 4 percentage points, so some students will really benefit by putting in some study time.
Today, all 4 classes will be playing a review "Jeopardy" game. Catagories for todays questions include vocabulary, LCM/ GCF, old stuff (there will be a couple of questions on the test from previous units), prime factorization, and divisibility rules.
The top 3 teams will earn cat cash for their efforts. I will be posting sample test questions later today for students to study this evening.
The test tomorrow will be the last grade of the 2nd nine weeks, and a good test score has the potential to raise a quarter grade as much as 4 percentage points, so some students will really benefit by putting in some study time.
Friday, January 13, 2012
Friday January 13, 2012
I apologize for falling behind on my blog posts. This week has been busy and I am just now getting a chance to update on what we have been working on in class.
Students will be taking their Unit 5 test next Thursday. The test will cover everything we have worked on over the last 2 weeks. Below is the study guide that I prepared for students. Test questions will be very similar to the questions on the study guide.
Today in class, students will be working on their study guide, as well as answering a few questions to prepare for next week's student lead conferences. Questions will give students an opportunity to reflect on the 2nd 9 weeks and write about what they did well and where they could use improvement. More information on student lead conferences will go home with students soon. I will post information on my blog as well.
Vocabulary Unit 5 Study Guide
Factor:
Divisible:
Prime:
Composite:
Prime Factorization:
GCF:
LCM:
Divisibility Rules
Tell if each number is divisible by…2, 3, 4, 5, 6, 9, 10
1.) 112 2.) 305 3.) 46 4.) 53
Factoring
List the factor pairs of the following, and label prime or composite
5.) 64 6.) 110 7.) 47 8.) 96
Prime Factorization
Draw a factor tree for the following numbers and write in prime factorization (exponential form)
9.) 220 10.) 500
Greatest Common Factor
Find the GCF of the following numbers
11.) 12, 36, 66 12.) 43, 50, 100 13.) 300 and 450
Least Common Multiple
Find the LCM for the following numbers
14.) 3, 10, 15 15.) 2, 7, 12 16.) 8, 25 17.) 3, 4, 9
Unit 5 Study Guide
Word Problems
18.) If a composite number has the first four prime numbers as factors, what is the smallest number it could be?
19.) What prime numbers are factors of both 84 and 112?
20.) What is the least common multiple of 3, 9, and 12?
21.) A green light flashes every 5 seconds. A red light flashes every 7 seconds. How long will it take before they both flash at the same time?
22.) What are the prime factors of 32?
23.) Which number is the same as 5^6?
a. 30 b. 17,834 c. 11 d. 15,625
24.) Explain why 17 is a prime number
25.) A number less than 100 is divisible by both 10 and 12. Name 2 other factors of this number
Students will be taking their Unit 5 test next Thursday. The test will cover everything we have worked on over the last 2 weeks. Below is the study guide that I prepared for students. Test questions will be very similar to the questions on the study guide.
Today in class, students will be working on their study guide, as well as answering a few questions to prepare for next week's student lead conferences. Questions will give students an opportunity to reflect on the 2nd 9 weeks and write about what they did well and where they could use improvement. More information on student lead conferences will go home with students soon. I will post information on my blog as well.
Vocabulary Unit 5 Study Guide
Factor:
Divisible:
Prime:
Composite:
Prime Factorization:
GCF:
LCM:
Divisibility Rules
Tell if each number is divisible by…2, 3, 4, 5, 6, 9, 10
1.) 112 2.) 305 3.) 46 4.) 53
Factoring
List the factor pairs of the following, and label prime or composite
5.) 64 6.) 110 7.) 47 8.) 96
Prime Factorization
Draw a factor tree for the following numbers and write in prime factorization (exponential form)
9.) 220 10.) 500
Greatest Common Factor
Find the GCF of the following numbers
11.) 12, 36, 66 12.) 43, 50, 100 13.) 300 and 450
Least Common Multiple
Find the LCM for the following numbers
14.) 3, 10, 15 15.) 2, 7, 12 16.) 8, 25 17.) 3, 4, 9
Unit 5 Study Guide
Word Problems
18.) If a composite number has the first four prime numbers as factors, what is the smallest number it could be?
19.) What prime numbers are factors of both 84 and 112?
20.) What is the least common multiple of 3, 9, and 12?
21.) A green light flashes every 5 seconds. A red light flashes every 7 seconds. How long will it take before they both flash at the same time?
22.) What are the prime factors of 32?
23.) Which number is the same as 5^6?
a. 30 b. 17,834 c. 11 d. 15,625
24.) Explain why 17 is a prime number
25.) A number less than 100 is divisible by both 10 and 12. Name 2 other factors of this number
Friday, January 6, 2012
sample questions for quiz on monday
Below is a sample of what the quiz will look like on Monday
There will be three questions that ask if a given number is divisible by 2,3,4,5,6,9,10
For example...
36
2 yes
3 yes
4 yes
5 no
6 yes
9 yes
10 no
There will be 3 questions asking to write all of the factors of a given number.
Example
108
1 x 108
2 x 54
3 x 36
4 x 27
6 x 18
9 x 12
Finally, there will be three questions asking for a factor tree and prime factorization in exponential form.
Example
32 =2 to the fourth power
100 = 5 squared x 2 squared
66 = 11 x 2 x 3
Remember to check your answer by first making sure that all of your circled numbers are prime. Second, find the product of your prime factors and it should equal the original number.
I apologize for not having pictures of factor trees. I am making this post from my phone at the airport. Students should have 5-6 examples of factor trees from class to refer to.
Again, I will be gone Monday but I have left very clear instructions for my substitute. Students will have the entire class period to work on their quiz. I will be grading and returning quizzes by Wednesday next week. Have a great weekend!
There will be three questions that ask if a given number is divisible by 2,3,4,5,6,9,10
For example...
36
2 yes
3 yes
4 yes
5 no
6 yes
9 yes
10 no
There will be 3 questions asking to write all of the factors of a given number.
Example
108
1 x 108
2 x 54
3 x 36
4 x 27
6 x 18
9 x 12
Finally, there will be three questions asking for a factor tree and prime factorization in exponential form.
Example
32 =2 to the fourth power
100 = 5 squared x 2 squared
66 = 11 x 2 x 3
Remember to check your answer by first making sure that all of your circled numbers are prime. Second, find the product of your prime factors and it should equal the original number.
I apologize for not having pictures of factor trees. I am making this post from my phone at the airport. Students should have 5-6 examples of factor trees from class to refer to.
Again, I will be gone Monday but I have left very clear instructions for my substitute. Students will have the entire class period to work on their quiz. I will be grading and returning quizzes by Wednesday next week. Have a great weekend!
Friday January 6, 2011
Today we introduced prime authorization by drawing a factor tree. Also I checked for a completion of last nights homework. There were many students who did not complete the homework. It can still be turned in next week for a late grade.
To perform prime factorization, we talked about five steps
1. Start with number we are factoring
2. Draw 2 branches down from the number
3. Choose 2 factors whose product is equal to the number
4. Continue to split numbers until prime numbers are reached. Circle each prime number.
5. When there are only prime (circled) numbers left, stop drawing branches.
Your answer is the product of all of the circled (prime) numbers. Be sure to write in exponential form!
To perform prime factorization, we talked about five steps
1. Start with number we are factoring
2. Draw 2 branches down from the number
3. Choose 2 factors whose product is equal to the number
4. Continue to split numbers until prime numbers are reached. Circle each prime number.
5. When there are only prime (circled) numbers left, stop drawing branches.
Your answer is the product of all of the circled (prime) numbers. Be sure to write in exponential form!
Thursday, January 5, 2012
Thursday January 5, 2012
Today we will first review the divisibility rules homework from last night. Students seemed to pick up on the divisibility rules quickly so I don't anticipate many problems with the homework. Today we will move on to determining if a number is prime or composite. Depending on how we do with prime and composite, we may introduce factoring today as well.
There has been a slight change in schedule, as we will now be taking our quiz on Monday instead of Friday.
Instead, on Friday we will be starting/ continuing factoring. I will be out of town on Monday, so students will have the entire class period on Monday for their quiz with the substitute. The quiz will cover the following
- Knowing the divisibility rules for 2, 3, 4, 5, 6, 9, 10
- Be able to tell if a given number is divisible by the above numbers
- Determine if a number is a prime or composite number
- Factor a given number
I will post examples of quiz questions by tomorrow
There has been a slight change in schedule, as we will now be taking our quiz on Monday instead of Friday.
Instead, on Friday we will be starting/ continuing factoring. I will be out of town on Monday, so students will have the entire class period on Monday for their quiz with the substitute. The quiz will cover the following
- Knowing the divisibility rules for 2, 3, 4, 5, 6, 9, 10
- Be able to tell if a given number is divisible by the above numbers
- Determine if a number is a prime or composite number
- Factor a given number
I will post examples of quiz questions by tomorrow
Wednesday, January 4, 2012
Wednesday January 4, 2012
Yesterday students took a pre-assessment for our upcoming unit. There were 14 questions, and most students scored between 0-3 correct. There is some new vocabulary that students have not yet seen, so I expect scores to improve once students understand these new terms.
Today, we will begin this unit by looking at the divisibility rules. I have prepared an outline for each student to fill out as we look at the new vocabulary and divisibility rules. Students should keep this outline to help them with their homework and to study for the upcoming quiz and test. The first quiz will be this Friday, and will cover divisibility rules and prime and composite numbers. It will be fairly simple and look a lot like the homework from this week. Below is the outline that students will receive
Today, we will begin this unit by looking at the divisibility rules. I have prepared an outline for each student to fill out as we look at the new vocabulary and divisibility rules. Students should keep this outline to help them with their homework and to study for the upcoming quiz and test. The first quiz will be this Friday, and will cover divisibility rules and prime and composite numbers. It will be fairly simple and look a lot like the homework from this week. Below is the outline that students will receive
Divisibility Rules
A number is divisible by…. | Divisible | Not divisible |
2 if the last digit is even (0, 2, 4, 6, 8). | ||
3 if the sum of the digits is divisible by 3 | ||
4 if the last two digits form a number divisible by 4 | ||
5 if the last digit is 0 or 5 | ||
6 if the number is divisible by both 2 and 3 | ||
9 if the sum of the digits is divisible by 9 | ||
10 if the last digit is 0 |
Factor -
Divisibility -
Prime numbers 1 -50 (highlighted)
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
Tuesday, January 3, 2012
Tuesday January 3, 2012
WELCOME BACK!! I hope everyone enjoyed their break!
There are less than 3 weeks in the 2nd quarter! I will be reminding students that time is running out and they need to put in the effort over the next few weeks if they would like to see their grades improve. I have several students in every class that are much more capable than what they have shown so far this year, so hopefully they all work hard for the next few weeks to improve their grades.
We will be spending the next 3 weeks looking at factors, prime and composite numbers, prime factorization, greatest common factor, and least common multiple. These concepts will lead into the next unit which will be fractions. It is important that students understand the concepts in this unit before we move to fractions. Here is what this week is looking like
Tuesday - Review decimal and percents quiz then pretest on upcoming unit
Wednesday - Divisibility rules day 1
Thursday - Divisibility rules day 2
Friday - Prime and composite numbers, quiz over divisibility rules
Next week we will get into prime factorization and greatest common factor.
There are less than 3 weeks in the 2nd quarter! I will be reminding students that time is running out and they need to put in the effort over the next few weeks if they would like to see their grades improve. I have several students in every class that are much more capable than what they have shown so far this year, so hopefully they all work hard for the next few weeks to improve their grades.
We will be spending the next 3 weeks looking at factors, prime and composite numbers, prime factorization, greatest common factor, and least common multiple. These concepts will lead into the next unit which will be fractions. It is important that students understand the concepts in this unit before we move to fractions. Here is what this week is looking like
Tuesday - Review decimal and percents quiz then pretest on upcoming unit
Wednesday - Divisibility rules day 1
Thursday - Divisibility rules day 2
Friday - Prime and composite numbers, quiz over divisibility rules
Next week we will get into prime factorization and greatest common factor.
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