Fractions

MATH HOMEWORK BOX

Fractions

February 6-24

TECHNOLOGY:

Go to school web site: http://schools.jordandistrict.org/foothills/

Click on the Students button

Click on Math Links (towards the bottom of the page)

I. Click on Woodlands Math and scroll down to “Number Skills”

Click on Fractions, Decimals, and Percentages:

Play a. Fraction Monkeys

b. Show the Fraction

c. Name the Fraction

d. Fraction Revision

e. Match the Fractions

ACTIVITIES:

2. Part of a Whole: This activity will help your child understand how a fraction can show part of a whole or part of a group. Ask your child to fold a piece of paper into 3 equal sections. Then ask your child to show 1/ 3 of the paper by shading the appropriate section. Next, give your child 8 pieces of paper. Ask your child to give you 5/ 8 of the group back (5 pieces). Then ask your child what fraction of the group of pieces of paper he/she has left (3/ 8). Try again with fourths, halves, etc.

3. Comparing Fractions: Have your child compare fractions by measuring fractions of a cup into two clear glasses that are the same size. Have your child put 2/ 3 cup of water into one of the glasses and 2/ 4 cup into the other. Ask your child which is greater, 2/ 4 cup or

2/ 3 cup? Have the child empty the glasses, then compare other fractional amounts such as 2/ 3 and 3/ 4, 1/ 3 and 1/ 4, 3/ 3 and 2/ 2.

4. Adding Fractions: If your child likes to cook, this activity will give him/her practice in adding fractions with the same denominator. (The denominator is the bottom number in a fraction.) Let your child help you make a double amount of a recipe. Ask him or her to tell you how much of each ingredient should be used. The child can figure this out by adding the same amount twice. The child can check the answer by measuring the amount twice into a measuring cup.

5. Adding and Subtracting Fractions: Use a large measuring container labeled with cups and fractions of cups, and small measuring cups to help your child add and subtract fractions. Ask your child to guess the sum of 1/ 2 cup and 1/ 4 cup. After he/she guesses, have the child pour 1/ 2 cup and 1/ 4 cup of water into the large container to check the guess. Have your child try adding other fractions the same way, such as 3/ 4 and 1/ 2.

Ask your child to guess the difference between 3/ 4 and 1/ 2. After he/ she guesses, have your child pour 3/ 4 cup of water into the large container, then dip out 1/ 2 cup to check the guess. Have your child subtract other fractions the same way.

6. Probability: Try this activity to help reinforce the concept of probability. Have your child number index cards or small pieces of paper from 1 to 5. Mix up the 5 cards and hold them so that your child can’t see the numbers. Have your child pick one of the cards, write down its number and give it back to you. Mix all the cards together again and have your child pick another card. Do this 15 times. Ask your child how many times each number was picked. Then ask your child how many times each number was picked. Then ask your child what the probability is of picking a 3. Since there are 5 choices, your child should respond 1 out of 5, or 1/ 5.

7. Laundry: Help put the laundry away. Make a stack of 4 towels or other items and put away 3/ 4 of the towels. What part of the towels was left? Try this with 6 socks and take away 2/ 3 of the socks- what is left? Try again with other fractions.

8. Money: Place 4 quarters, 10 dimes, and 20 nickels on a table. Answer the following questions using fractions: What part of a dollar is a quarter? What part of a dollar is a dime? What part of a dollar is a nickel? What part of a dollar is 4 dimes? What part of a dollar is

$0.75? Make up more amounts under a dollar using quarters, dimes, and nickels and see what part of the dollar they are.

Games:

9. War: Use the cards at the back of this packet, play War with fractions, the biggest fraction wins the pile.

10. Concentration: Using the cards at the back of this packet, play Concentration using equivalent fractions that can make a match. For example, 2/ 3 = 4/ 6, 1/ 2 = 2/ 4, etc.

(Go through and pull out all the fractions that are not equivalent first).

Worksheets:

MATH HOMEWORK BOX

Multiplying Larger Numbers

November 14-23

TECHNOLOGY:

Go to school web site: http:// schools.jordandistrict.org/foothills/html/links.htm

Click on the STUDENTS button

Click on GRADE WEB SITES

Click on MATH (IN THE SUBJECT AREA LINKS)

From the MATH LINKS button go to the following activities:

1. Math Mayhem: choose “multiplication” and race the clock

2. RAIN FOREST MATH: The user name is: rfmp0380

The password is: quilt75

Click on Year/Grade 4

Go to the Algebra Section:

Click on Inverse Operations or Properties

If you click on the little animal that says “more” it will change the operations to multiplication or division

3. Fun Brain-Football Math Facts: click easier, harder, or megahard

-Solve the problem and then select “go”

DICE:

4. Roll and Roll and Roll: Roll the dice and take each number and write it down to make a two digit number. For example, if you rolled a 2 and a 5, you would write down 25. Roll one die again and multiply this number by the two digit number. For example, if you rolled a 9 then you would multiply 25 by 9. Solve 7 problems and then check with a grown-up or on a calculator.

Challenge: roll the dice to create 3 or 4 digit numbers

COWBOY CARDS:

5. Flip, Flip, Flip: Turn over two cards and write down the numbers to make a 2 digit number (i.e. a jack and an ace would be the number 11). Then turn over another card and multiply that number by the first number. Solve 7 problems and then check with a grown-up or on a calculator.

Challenge: flip over 3 or 4 cards to create larger numbers

MULTIPLICATION BY ONE DIGIT NUMBERS:

6. Miles Per Gallon: Find out how many miles per gallon three different cars can get. (The cars could be yours or cars advertised, etc.) Ask your child to find out how far each car can travel on 8 gallons of gasoline. The child should multiply the number of miles per gallon by the number 8. Have your child compare the three distances to see if there is a big difference in mileage.

7. Apartment Rents: Help your child find an advertisement for an apartment that rents for less than $1,000 a month. Ask the child how much it would cost to rent the apartment for 6 months. The child should multiply the monthly rent by 6. Your child can try the activity again with other apartments and compare the six-month rents.

8. On Sale: Look for advertisements showing toys on sale in quantities. Ask your child how much 4 cars (or other toy) would cost at the regular price. For example, 4 cars (toys) for $3.25 each = $13.00. Ask how much money would be saved by buying the cars on sale. (4 cars for a $10.00 would be a savings of $3.00).

9. Estimation with Money: While you and your child are shopping or looking through grocery store advertisements, point to an item that costs less than $1.00. Ask your child to estimate the cost of two of the items. Your child should round the price to the nearest ten cents, then multiply by 2. For example, if an item costs from $.85 to $.89, your child should round the price up to $.90 then multiply 2 X $.90=$1.80. If an item costs from $.81 to $.84, your child should round the price to $.80, then multiply 2 X $.80= $1.60.

Encourage your child to both round and multiply the numbers mentally.

10. School Lunch: Have your child estimate the cost of school lunches for a week, a month, and for 6 months. Then have your child find the actual cost of school lunch for a week, a month, and for 6 months.

MULTIPLYING BY TWO DIGIT NUMBERS:

11. Multiplying a Dozen: Your child can practice multiplying by 12 when he/she is at the grocery store with you. Have your child count the number of egg cartons stacked in row or in a display. Ask your child to figure out how many eggs there are altogether by multiplying 12 by the number of cartons he/she counted.

12. Days Old: Help your child think of someone who is over 10 years old. Ask your child to figure out how many days old this person is by multiplying the age of the person by 365. If your child would like an extra challenge, he or she could also figure leap years into the calculation.

13. Multiplying Money Amounts: Look for a store advertisement and find 3 items that could be used for a school party, such as paper plates, paper cups, and plastic forks. Ask your child to figure out what it would cost to buy 15 packages of each of the 3 different items. For example, if a package of paper plates costs $2.89, the child would multiply $2.89 by 15.

14. Multiplying by Tens: Use a watch or clock with a second hand to measure how many times your child normally breathes in one minute. Then ask the child to figure out how many breaths he/she takes in 10 minutes by multiplying the number of breaths in one minute by 10. Next, ask the child how many breaths he/she takes in one hour, or 60 minutes.

WORKSHEETS

MATH BOX ACTIVITIES

Introduction to Division

October 10-19

DIVISION FACTS:

1. Dividing by Two: Give your child 18 buttons or other small objects. Ask your child to find out how many groups of two can be made with all 18 buttons. Have the child divide the buttons into groups of two then count the number of groups. Have him/her write a fact to show the division (18 divided by 2= 9). You can repeat this activity starting with 4, 6, 8, 10, 12, 14, or 16 buttons.

2. Division Problems: While you and your child are driving/ walking somewhere, make up some division problems for your child to solve. For example:

a. I just counted 16 tires- how many cars did I see?

b. I saw 12 wheels- how many bicycles did I see?

c. Give your child an opportunity to make up division problems.

3. Division with Silverware: Have your child count the number of pieces of silverware you have in a drawer. Then ask the child to divide the pieces of silverware evenly among the household members. The child may count the pieces into groups or use pencil and paper to divide. When your child finishes, have him/her state the answer including how many pieces of silverware are left over.

4. Factor Facts: Cut out 12 round shapes (or use cookies, etc.) and ask your child to arrange them in the same way that eggs are arranged in an egg carton: in 2 rows of 6. The numbers 2 and 6 are factors of 12 because the 12 shapes can be divided evenly into 2 rows of 6, or 6 rows of 2. Ask your child to arrange the shapes in two other ways so that they are divided evenly in rows, such as 1 row of 12, and 3 rows of 4. Have your child write down the factors.

5. Dividing the Bases Game: Draw a “baseball” diamond on a piece of paper and create two place markers for you and your partner to use. Put the number 25 at first base, write 36 on second base, write 42 on third base, and 64 on home plate. Roll one of your dice to get a divisor. If the number at first base can be divided equally by the divisor, move to first base. If not, remain where you are. Now your partner goes up to bat by rolling a die. If his/her number can go evenly into 25 than he/she moves to first base. Continue until one of the players gets to home base.

TECHNOLOGY:

Go to school web site: http:// schools.jordandistrict.org/foothills/html/links.htm

Click on the STUDENTS button

Click on Math links

Go to the following activities:

6. Math Magician (choose division to practice basic math facts)

7. Math Cafe- scroll down past the addition and subtraction to multiplication and division

- click on the blue flash cards on the right side

- click begin

- solve problem and click on the “next” button

8. Rainforest Math- User name: rfmp0380

Password: quilt75

-Choose Level E (year 4) and then look at the first category listed, Number.

- Click on “Division”

- Choose any of the circles on the left side of the page to practice division

WORKSHEETS: (pages are double sided)

Meaning of Multiplication

MATH BOX ACTIVITIES

Multiplication Facts (Sep. 26- Oct.7)

COWBOY CARDS ACTIVITIES:

1. War- play this game by splitting the deck evenly among the 2 players. Each player lays down two cards. Each person multiplies his/her cards together. The person with the highest number collects all the cards. Play continues until one of the players runs out of cards.

2. Fifteen Facts- Count out 15 cards and place them face down in a pile. Turn the first card over and place next to the other cards. Use this card to multiply all the other cards in the pile. For example, if the card you started with was a 3 then you would multiply all the other cards in the pile by 3.

DICE ACTIVITIES:

3. Multiplication Tic-Tac-Toe: On a piece of paper create a tic-tac-toe board. Roll the dice and multiply the numbers together. If your answer is correct, place an O or X in one of the boxes. Now have your partner roll and then place an O or X in a box. Play until you have 3 in a row.

4. First to 100. You will need a piece of paper to record your answers. After rolling the dice, multiply the two numbers together. Write down your answer and then have your partner do the same thing. Keep adding your totals from each round. The first player to reach 100 wins!

MULTIPLICATION FACTS:

5. Multiplying Windows: Give your child three pieces of paper and a pencil/crayon. Ask your child to draw one house on each piece of paper. Then have the child draw two windows on each house. Ask your child how many windows are there altogether. Have your child write and say a multiplication fact to show the answer (3 X 2= 6). Now have your child draw another window on each house so each house has three windows. Ask your child to write and say another fact to show the total number of windows (3 X 3= 9). Finally have your child draw one last window on each house and write and say the fact (3 X 4= 12).

6. Multiplying Fives: Look through a magazine with your child and find 4 pictures with 5 people in each. If you can’t find enough pictures, circle 5 people in pictures with more than 5. Have your child write a multiplication fact to show how many people there are in four groups of five (4 X 5= 20). To check the answer, the child can count the people by fives.

7. Nickels and Dimes: Use nickels and dimes to write math problems for factors 5 and 10. For example, lay out nine nickels on the table. Ask your child to count by 5’s nine times. Then have your child write a math problem for the nickels on the table (5 X 9= 45). Same idea could be repeated with dimes (3 x 10= 30).

8. Multiplying Pages: Let your child use the numbered pages of a book or magazine to help him/her learn to multiply sixes and sevens. Ask you child how many pages of a book could be read if he/she reads 6 pages each day for 7 days. Have your child write a multiplication fact to show the answer (7X6=42). Repeat the activity asking how many pages your child would read if he/she read 7 pages a day for 7 days.

9. Multiplying Ones and Zeros: Give your child practice multiplying 0 and 1 by the numbers 1-9 by using everyday items. Some examples:

a. How many grocery items are there in 5 bags with 0 items in each bag? (0)

b. How many spare tires are in 4 cars with 1 spare tire in each car? (4)

c. How many people are there in 8 rooms with 1 person in each room? (8)

d. Have your child create some of their own math problems around the house?

10. Multiplying with Nine: Play this game to give your child practice multiplying with the number 9. Hide 9 buttons or other small objects in a room. Tell your child that he/she has one minute to find the buttons. Every button found is worth 9 points.

At the end of one minute, have your child figure out his/her score by multiplying 9 points by the number of buttons found (9 points X 4 buttons found = 36). Play again after hiding the buttons

TECHNOLOGY:

Go to school web site: http:// schools.jordandistrict.org/foothills

Click on the Students button

Scroll to the bottom

Click on Math Links

11. Math Magician (choose multiplication to practice basic math facts)

12. Math Facts Cafe- scroll down past the addition and subtraction to multiplication

- click on the flash cards on the right side

- click begin

- solve problem and click on the “next” button

13. Times Table Trees- Choose a tree

- Solve the math problem

- Click on “check”

- After doing 20 problems, click on “Choose Another Table” and try a new math fact

WORKSHEETS: (pages are double sided)

Place Value Math Box

MATH HOMEWORK BOX

(Place Value Activities)

Place Value Cards (cut apart)

1. Memory

- place the cards face down

- try to make a match by turning over the card with the number (8,067) and find the other card with the expanded form(8,000+60+7)

- the person with the most matches wins the game

2. Choose Ten

-choose ten of the place value cards

-place the cards in order from least to greatest

-choose ten different place value cards

-place the cards in order from greatest to least

3. Art Math

- choose 5 of the place value cards

- draw a picture showing how much each card is worth

4. The “Write” Stuff

- choose 5 of the place value cards

- use words to write the number represented on the card

5. Rounding

- choose 5 place value cards

-round each card to the nearest:

a. thousands

b. hundreds

c. tens

d. ten thousands

Cowboy Playing Cards

6. Place Value War

- separate the cards into two piles

- each person lays down 6 cards in front of him/her

- each person has just made a 6 digit number (for example- if you laid down the following cards: 4-9-8-3-2-1 it would make the number 498,321)

- who ever lays down the largest number wins that round and collects all the cards

-the person with the most cards wins

Dice

7. Biggest Number

- You need at least 2 players

- Each player needs a piece of paper and a pencil

- Each person makes a place value chart on his/her paper (see below)

- Roll the die

- Each person places the number rolled on the chart wherever he/she wants

- After all the places are full, compare numbers

- The person with the highest number wins

- Play again, but this time the person with the smallest number wins

Ten

thousands thousands hundreds tens ones

8. Round the Dice

- Make a place value chart that goes up to millions

- Roll the die and place the numbers on the chart

- Once all the place value spots are filled roll the die one more time

- If you roll an odd number (1, 3, 5) then round your number to the nearest hundred thousand

- If you roll an even number (2,4,6) then round your number to the nearest hundred

Around the House Items

9. Tenths (and hundredths)

- Point to the net mass marked on a box of cereal or bag of dried beans.

-Ask your child to identify the number in the tenths’ place.

-Your child should point to the first digit to the right of the decimal point (45.6)

-Have your child read the decimal number: forty-five and six tenths

- Find other products that have masses given as decimals.

- Each time, have your child point out the number in the tenths’ place and read the mass.

- Repeat the activity but use items with decimals showing the hundredths column

10. Number Contest

-Work with your child to find as many numbers as you can in magazines or newspapers in five minutes

-Look for numbers from 1 through 999,999 written in either word form, such as fifty, or standard form, such as 50. Page numbers DO NOT count.

-When the five minutes are up, have your child read all of the numbers out loud

11. Ordering Numbers

- If you have an encyclopedia, atlas, or computer access, have your child look up the following populations for:

Mexico United States

Canada France

Kenya Italy

-Have your child list the countries and their populations in order from least to greatest

-Ask your child to read each population figure out loud

12. Rounding Numbers

-Have your child write down examples of exact numbers he/she hears on the radio or on t.v. Some examples of phrases with exact numbers are 2045 new jobs; 654,222 people voted; a population of 64,567.

- Ask your child to ROUND each of the numbers to the nearest thousand. To do this, he/she should look at the number in the hundreds’ place. If the number is 5 or more, the number is rounded up (64,567 would be rounded to 65,000.)

-If the number is in the hundreds’ place is 4 or less, the number is rounded down (2045 is rounded to 2000).

-Extend it- have your child read how many miles you have driven the family car then have him/her round that number to the nearest ten.

13. Foothills Web Site (Make sure Mom or Dad give you permission)

http://schools.jordandistrict.org/foothills

-Go to STUDENTS then scroll to the bottom and click on “Math Links”

- Choose “Rain Forest Math” (there is a frog picture next to it)

-type in the user name: rfmp0380

-password: quilt75

- Click on Grade 4

- Choose the Place Value Activities (rounding, base ten blocks, etc.) found on the first line that says, “Number”.

Worksheets- follow directions on each paper

The pages are double-sided therefore, one side equals one math box activity.

Technology Disclaimer

I have made every effort to ensure that all links leaving this site are appropriate. Jordan School District and Foothills Elementary cannot be held responsible for information found on other web sites.

Technology Goals

Personal and Classroom Goals:
1. I will use technology to further the school goals of: literacy, numeracy, atmosphere, and communication within my classroom.
2. I will increase literacy by using programs that will allow students to publish their writing and create ways to demonstrate their comprehension by completing projects on the computer.
3. I will increase numeracy by introducing various math programs found on our school web site as part of the Math Homework Box assignments.
4. I will increase atmosphere by using technology as a tool for giving instruction in a variety of ways, and as a tool for student collaboration on classroom projects.
5. I will increase communication in my classroom by posting assignments on our classroom blog. I will also send home a class roster for those who have given permission, to encourage communication between the students outside of school.