When compare fractions we are seeing if the are the same size or a different size.
We use the signs < (less than) >(greater than) =(equal to)
We have a nice easy trick to doing this.
1/4 is less than, greater than or equal to 2/3
1/4 is < > = 2/3
1/4 2/3 to find out, multiply the denominator of one fraction by the numerator of the other fraction. Do this to both fractions. Put the answer at the top of each fraction.
1/4 and 2/3
multiply 1x3 = 3 put that above 1/4
multiply 4 x 2 = 8 put that above 2/3
now compare 3 and 3
3 is less than 8
SO
1/4 < 2/3
1/4 is less than 2/3
Thursday, February 18, 2010
Equivalent Fractions
Equiva lent mean equal, so equivalent fractions are equal fractions.
1/2
Equivalent fractions for one-half are easy, because the numerator is half of the denominator.
1/2 - 1 is half of 2
2/4 - 2 is half of 4
4/8 - 4 is half of 8
10/20 - 10 is half of 20
SO
1/2 = 2/4 = 4/8 = 10/20
Here is a song we learned to help us find equivalents of other fractions.
(to the tune of "Are You Sleeping?)
Equivalent Fractions
Equivalent Fractions
Multiply
Or Divide
By another Fraction
By another Fraction
Equal to One
Equal to One
To find an equivalent fraction, you need to multiply by a fraction equal to one.
Fractions equal to one are 2/2 3/3 4/4 5/5 6/6 ...etc.
So to find an equivalent fraction for 2/3, multiply 2/3 by 2/2. That would be 2x2 and 3 x2, which would be 4/6.
2/3 = 4/6
2/3 is equal to 4/6
Simplest Form
when finding simplest form, you are finding an equivalent fraction that has a numerator and denominator that cannot be reduced anymore.
To find simplest form you divide by a fraction equal to one.
The tricky part is finding a common factor of both the numerator and the denominator.
Put 15/20 in simplest form.
15 and 20 have a common factor of 5.
So divide 15/20 by 5/5. 15 divided by 5 is 3 and 20 divided by 5 is 4.
15/20 = 3/4
15/20 is equal to 3/4
3/4 is in simplest form because 3 is a prime number and because 3 and 4 have no common factors and cannot be divided further.
1/2
Equivalent fractions for one-half are easy, because the numerator is half of the denominator.
1/2 - 1 is half of 2
2/4 - 2 is half of 4
4/8 - 4 is half of 8
10/20 - 10 is half of 20
SO
1/2 = 2/4 = 4/8 = 10/20
Here is a song we learned to help us find equivalents of other fractions.
(to the tune of "Are You Sleeping?)
Equivalent Fractions
Equivalent Fractions
Multiply
Or Divide
By another Fraction
By another Fraction
Equal to One
Equal to One
To find an equivalent fraction, you need to multiply by a fraction equal to one.
Fractions equal to one are 2/2 3/3 4/4 5/5 6/6 ...etc.
So to find an equivalent fraction for 2/3, multiply 2/3 by 2/2. That would be 2x2 and 3 x2, which would be 4/6.
2/3 = 4/6
2/3 is equal to 4/6
Simplest Form
when finding simplest form, you are finding an equivalent fraction that has a numerator and denominator that cannot be reduced anymore.
To find simplest form you divide by a fraction equal to one.
The tricky part is finding a common factor of both the numerator and the denominator.
Put 15/20 in simplest form.
15 and 20 have a common factor of 5.
So divide 15/20 by 5/5. 15 divided by 5 is 3 and 20 divided by 5 is 4.
15/20 = 3/4
15/20 is equal to 3/4
3/4 is in simplest form because 3 is a prime number and because 3 and 4 have no common factors and cannot be divided further.
Finding a fraction of a number
Fraction of a number.
Alfredo has to read 24 pages in his science book by Friday. If he has completed 3/4 of the assignment, how many pages has he read?
We need to find 3/4 of 24. There are two ways to do that.
3/4 x 24/1
1. multiply 3/x 24 = 72 and 4 x 1 =4
2. that gives us 72/4 which is a division problem
3. 72 divided by 4 = 18
4. So 3/4 of 24 is 18.
5. So Alfredo has read 18 pages.
or
3/4 of 24
1. 24 divided by 4 = 6
2. 6 = 1/4 of 24
3. 1/4 + 1/4 + 1/4 = 3/4
4. 6 + 6 + 6 = 18
5. 3/4 of 24 is 18
6. So Alfredo has read 18 pages.
Alfredo has to read 24 pages in his science book by Friday. If he has completed 3/4 of the assignment, how many pages has he read?
We need to find 3/4 of 24. There are two ways to do that.
3/4 x 24/1
1. multiply 3/x 24 = 72 and 4 x 1 =4
2. that gives us 72/4 which is a division problem
3. 72 divided by 4 = 18
4. So 3/4 of 24 is 18.
5. So Alfredo has read 18 pages.
or
3/4 of 24
1. 24 divided by 4 = 6
2. 6 = 1/4 of 24
3. 1/4 + 1/4 + 1/4 = 3/4
4. 6 + 6 + 6 = 18
5. 3/4 of 24 is 18
6. So Alfredo has read 18 pages.
Monday, January 18, 2010
Formulas are Fun!
We trying out lots of new things in math for the new year. Last week we worked on negative numbers and this week we are learning formulas for perimeter and area for squares and rectangles!
perimeter = the distance around around a figure
a square has four congruent(equal) sides SO the perimeter can be found with this formula
P = 4s (perimeter = 4 times the measure of one side)
a rectangle has two pair of congruent sides SO the perimeter can be found with this formula
P= 2l + 2W ( perimeter = 2 times the length + 2 times the width)
Area is the measure of the space inside of a figure.
the area of a square or a rectangle can be found with this formula
A = l x w ( area = length times width)
perimeter = the distance around around a figure
a square has four congruent(equal) sides SO the perimeter can be found with this formula
P = 4s (perimeter = 4 times the measure of one side)
a rectangle has two pair of congruent sides SO the perimeter can be found with this formula
P= 2l + 2W ( perimeter = 2 times the length + 2 times the width)
Area is the measure of the space inside of a figure.
the area of a square or a rectangle can be found with this formula
A = l x w ( area = length times width)
Wednesday, December 2, 2009
How does SETTING affect a story?
Our Houghton-Mifflin selection this week is Cendrillon, a Carribean Cinderella Story, by Robert D. San Souci.
We are looking at how the setting of the Carribean changed the story from the original Cinderella story we are used to. We have also read several other versions of this classic story and noted how the setting changed things.
Then we made up our own settings and talked about how the Cinderella story would be changed.
For example:
if it took place in modern times VS the time of the dinosaurs
in modern times: Cinderella would arrive in a limo, have a DJ at the ball and it would be held at the Save Mart Center or maybe at a fancy casino in Las Vegas. Cinderella would have very high-heeled glass slippers.
in the age of dinosaurs: Cinderella would arrive on the back of a very large dinosaur, drums would be the only music played at the ball, and Cinderella would wear a moccasin.
We also discussed a winter VS summer setting
summer: Cinderella would arrive in a convertible or on a surfboard, the ball would take place at the beach, she would wear a tank top and shorts, and would leave behind a flip flop
winter: Cinderella would arrive on a sled or maybe a snowmobile, the ball would take place at a ski hill or ice rink, she would be wearing a parka and would leave behind a boot
We are looking at how the setting of the Carribean changed the story from the original Cinderella story we are used to. We have also read several other versions of this classic story and noted how the setting changed things.
Then we made up our own settings and talked about how the Cinderella story would be changed.
For example:
if it took place in modern times VS the time of the dinosaurs
in modern times: Cinderella would arrive in a limo, have a DJ at the ball and it would be held at the Save Mart Center or maybe at a fancy casino in Las Vegas. Cinderella would have very high-heeled glass slippers.
in the age of dinosaurs: Cinderella would arrive on the back of a very large dinosaur, drums would be the only music played at the ball, and Cinderella would wear a moccasin.
We also discussed a winter VS summer setting
summer: Cinderella would arrive in a convertible or on a surfboard, the ball would take place at the beach, she would wear a tank top and shorts, and would leave behind a flip flop
winter: Cinderella would arrive on a sled or maybe a snowmobile, the ball would take place at a ski hill or ice rink, she would be wearing a parka and would leave behind a boot
Wednesday, November 11, 2009
Veteran's Day Activities
Here is a link to PBS with some activities for kids related to Veteran's Day.
http://www.pbs.org/teachers/activitypacks/socialstudies/americanidentity/
http://www.pbs.org/teachers/activitypacks/socialstudies/americanidentity/
Tuesday, October 13, 2009
Order of Operations
We are working on expressions, equations and inequalities with all of the operations. The rule we follow to know which operation to do first is called the Order of Operations.
It goes like this:
Parentheses
Exponents
Multiply and/or divide (left to right)
Add and/or subtract (left to right)
We use the Mnemonic Device to help us remember the Order of Operations.
Please
Excuse
My
Dear
Aunt
Sally
Example: 45 - (3 x 8) + 9
In this expression we would multiply 3 x 8 first because it is in parentheses.
That would leave us with 45 - 24 + 9
Then we subtract because it come first moving from left to right.
That would leave us with 21 + 9 which equals 30.
So the value of 45 - (3 x 8) + 9 is 30.
It goes like this:
Parentheses
Exponents
Multiply and/or divide (left to right)
Add and/or subtract (left to right)
We use the Mnemonic Device to help us remember the Order of Operations.
Please
Excuse
My
Dear
Aunt
Sally
Example: 45 - (3 x 8) + 9
In this expression we would multiply 3 x 8 first because it is in parentheses.
That would leave us with 45 - 24 + 9
Then we subtract because it come first moving from left to right.
That would leave us with 21 + 9 which equals 30.
So the value of 45 - (3 x 8) + 9 is 30.
Sunday, October 11, 2009
Figurative Language
We are working on similes, metaphors, personification and hyperbole.
Similes are a comparison of two unlike things using like or as: the boy ran like the wind Metaphors are a comparison of two unlike thing: The misbehaving child was a monster. Personification is giving human characteristics to inhuman things, objects, ideas or animals: The wind whispered my name and told me to come out to play.
Hyperbole is exaggeration: that was the worst movie I've ever seen.
Here are some similes the students in G-2 have written.
I am as brave as a bear.
Mrs. Coleman is as smart as a scientist.
I was as hungry as a bear that hasn't eaten all summer.
Similes are a comparison of two unlike things using like or as: the boy ran like the wind Metaphors are a comparison of two unlike thing: The misbehaving child was a monster. Personification is giving human characteristics to inhuman things, objects, ideas or animals: The wind whispered my name and told me to come out to play.
Hyperbole is exaggeration: that was the worst movie I've ever seen.
Here are some similes the students in G-2 have written.
I am as brave as a bear.
Mrs. Coleman is as smart as a scientist.
I was as hungry as a bear that hasn't eaten all summer.
Thursday, September 24, 2009
Test-Taking Strategies
Next week is the middle of Trimester 1 here at Mark Twain, which means we have a Language Arts test, as Science Test and a Math Test all in one week. Today we covered some good strategies for a taking a reading comprension test. We talked about how reading in a test is different than reading a book for pleasure or even information, so we need to approach it differently. Here are some strategies that can help us attack a test.
1. Read the Questions First
2. Highlight or underline key words or phrases in the questions.
3. Read the passage 2 - 3 times.
4. Highlight key words or phrases in the passage that relate to the questions.
5. Read the questions again and ALL of the answer choices.
6. Eliminate the wrong answers.
7. Choose the correct answer and mark it.
We are practicing these techniques now, and will continue to review them throughout the year.
1. Read the Questions First
2. Highlight or underline key words or phrases in the questions.
3. Read the passage 2 - 3 times.
4. Highlight key words or phrases in the passage that relate to the questions.
5. Read the questions again and ALL of the answer choices.
6. Eliminate the wrong answers.
7. Choose the correct answer and mark it.
We are practicing these techniques now, and will continue to review them throughout the year.
Wednesday, September 23, 2009
Sunday, September 13, 2009
Learning Powerpoint
We made our second trip to the computer lab to learn how to use the program Microsoft PowerPoint to make presentations. The first presentation is All About Me. The students will be presenting these to the class next week. The students will continue to use this program to make reports on science social studies throughout the year. Some students may be able to compete to participate in Tulare County's Cyberquest on November 21st.
Properties of Addition
Zero Property - when you add zero to a number, the sum is that same number
Example: 5 + 0 = 5
Commutative Property - when you change the order of the addends, the sum stays the same.
Example: 3 + 4 = 7 and 4 + 3 = 7 so 3 + 4 = 4 + 3
Associative Property - when you change the way the addends are grouped, the sum stays the same.
Example: (2 + 3) + 6 = 11 and 2 + (3 + 6) = 11 so (2 + 3) + 6 = 2 + (3 + 6)
Example: 5 + 0 = 5
Commutative Property - when you change the order of the addends, the sum stays the same.
Example: 3 + 4 = 7 and 4 + 3 = 7 so 3 + 4 = 4 + 3
Associative Property - when you change the way the addends are grouped, the sum stays the same.
Example: (2 + 3) + 6 = 11 and 2 + (3 + 6) = 11 so (2 + 3) + 6 = 2 + (3 + 6)
Wednesday, September 9, 2009
Some Good Books We've Read
Wilma Unlimited by Kathleen Krull - The storyof how Wilma Rudolph overcame immense disadvantages to become a record-winning Olympic athlete. Used this in our discussions on Commitment, our character of the month for August.
Salt in His Shoes by Doloris Jordan - A biography of Michael Jordan, written by his mom, that let's us know, even superstars have to work hard for what they get.
The Honest to Goodness Truth by Patricia C. McKissack - the story of a girl who tells the truth a little too well. This was used in our discussions on Honesty, our character of the month for September.
Tea With Milk by Allen Say - this is part 2 of the story Grandfather's Journey, which we read in our reading anthology this week. Grandfather's Journey tells the story of Allen Say's grandfather, who moved from Japan to California, then back to Japan. Tea With Milk is the story of Allen Say's mother, a California girl, who has to adjust to life back in Japan.
The Bee Tree by Patricia Polacco Ellen is bored with reading, so her grandpa takes her on an adventure to find the bee tree, in the process, teaching Ellen a lesson about the adventures that can be found in books.
Salt in His Shoes by Doloris Jordan - A biography of Michael Jordan, written by his mom, that let's us know, even superstars have to work hard for what they get.
The Honest to Goodness Truth by Patricia C. McKissack - the story of a girl who tells the truth a little too well. This was used in our discussions on Honesty, our character of the month for September.
Tea With Milk by Allen Say - this is part 2 of the story Grandfather's Journey, which we read in our reading anthology this week. Grandfather's Journey tells the story of Allen Say's grandfather, who moved from Japan to California, then back to Japan. Tea With Milk is the story of Allen Say's mother, a California girl, who has to adjust to life back in Japan.
The Bee Tree by Patricia Polacco Ellen is bored with reading, so her grandpa takes her on an adventure to find the bee tree, in the process, teaching Ellen a lesson about the adventures that can be found in books.
Our class guardian
Thanks to the Sweatts for adding to my Star Wars collection! I love my new Yoda. He has a place of honor at the front of the class. Watch us he will.
We learned a new song this week in science to help us to remember how resistors, conductors and insulators help us use electricity. It is sung to the tune of "How Much is That Doggy in the Window"
Electricity Helpers
Chorus:
Resistors, conductors, insulators
Help us use electricity
Resistors, conductors, insulators
Help us use electricity
Resistors slow down the electrons
Then change them to heat, light and motion
Resistors slow down the current
Then changes it to other forms
Chorus
Conductors help move the electrons
To places far and near
Conductors are metals like copper
Help charges flow smoothly for us
Chorus
Insulators stop electric charges
From going where they shouldn’t be
Insulators like rubber and plastic
Keep us safe, you and me
Subscribe to:
Posts (Atom)