MATHEMATICS

NAME :________________________________ GRADE : 4-5_____

A clock is set to ring every 5 minutes; will it ring fifteen minutes later?

Apparently the clock has ringed for 5 times, how long the clock ring since the first

time it was set?

How many times it will ring after 55 minutes?

What mathematics skill you use?

HANDS ON MINI ACTIVITY (Math Connect Page 396)

1. Work in pairs

2. First students will hold a blue buttons and second students will hold red buttons.

3. Using the same hundreds chart, place blue the buttons to the multiples of 4 while the red buttons on the

multiples of 6.

4. List all numbers that have two buttons.

5. What is the least number that has two buttons?

Romeo

Juliet

Discuss with your group!

Romeo goes to Library every 2 days.

Juliet goes to Library every 3 days.

After how many days they will meet together?

Multiple of 2 = ___, ___, ___, ___, ___, ___, ___, ___, ___, ___,

Multiple of 3 = ___, ___, ___, ___, ___, ___, ___, ___, ___, ___,

Common Multiple = ___, ___, ___, ___, ___,

Discuss what strategy you use to solve this problem!

What is common multiples?

Singing

Dancing

(Students work in pair)

Set a schedule for Britney.

1. She needs to attend dancing class every three days, she starts it on Monday, September 1, 2014. (Mark

with red marker)

2. She also signs up for singing class every four days. She starts it on Monday, September 1, 2014. (Mark

with blue marker)

3. When she will have to go to dancing and singing class at the same day?

4. How many times in a September she will have both dancing and singing classes?

5. Mark Britney schedule in numberline below. What pattern in Britney do you see in Britney schedule? She

practices both dancing and singing every_____days

6. What is common multiple?

BOARD GAMESStudents work in pair to do multiples games.

1. Work in pair, one student plays using black chips and the other using white chips.

2. Prepare the number table board from 1 to 100.

3. Prepare stack of number cards randomly from 1-20.

4. Prepare Othello beads (black and white chips)

5. Students pick up one number cards and starts placing black chips on multiple boards.

6. The other students pick up one number cards and placing white chips on multiple boards, if there are black

chips the students just need to flip it back.

7. Do it until all number cards finished. Student with most chips wins.

Write down the first ten multiples of these numbers! (Math Connect Page 397-398)

3 3 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,

4 4 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

5 5 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

6 6 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

8 8 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

10 10 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

11 11 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

12 12 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

15 15 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

20 20 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

List multiples to find the first two common multiples of each set of numbers using number line!

1. 2 and 6

2. 4 and 10

3. 5, 6 and 10

Find LCM of each set of numbers!1. 3 and 4

Multiples of 3 : 3 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 4 : 4 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

2. 2 and 7Multiples of 2 : 2 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 7 : 7 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

3. 4,5 and 10Multiples of 4 : 4 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 5 : 5 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 10 : 10 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

4. 3, 6 and 7Multiples of 3 : 3 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 6 : 6 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 7 : 7 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

1. Inez waters her plants every two days, she trims them every 15 days. She did both today. When will she did both again?

2. Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?

3. Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?

Challenge :Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

When is LCM of two numbers is one of the numbers? Give an example!

Write down the first ten multiples of these numbers! (Math Connect Page 397-398)

4 4 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,

5 5 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

7 7 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

8 8 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

9 9 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

10 10 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

11 11 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

12 12 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

25 25 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

40 40 , _____, _____,_____,_____,_____,_____,_____,_____,_____,

List multiples to find the first two common multiples of each set of numbers using number line!

4. 5 and 10

5. 8 and 12

6. 6, 10 and 15

Find LCM of each set of numbers!5. 5 and 6

Multiples of 5 : 5 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 6 : 6 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

6. 6 and 9Multiples of 6 : 6 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 9 : 9 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

7. 6, 10 and 15Multiples of 6 : 6 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 10 : 10 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 15 : 15 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

8. 9, 12 and 18Multiples of 9 : 9 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 12 : 12 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Multiples of 18 : 18 ,_____, _____,_____,_____,_____,_____,_____,_____,_____,Common Factors : _____,_____,LCM : _____

1. Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other pattern repeats every 12 inches. In how many inches will the two patterns begin at the same time?

2. The science department buys the following equipment. They bought all three items this year. In how many years will they again have to buy all three items?

Tools Every 2 yearsComputers Every 3 yearsMicroscopes Every 4 years

3. Matthew goes hiking every 12 days and swimming every 6 days. He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

4. At a display booth at an amusement park, every visitor gets a gift bag. Some of the bags have items in them as shown in the table below.Items in the Gift Bags

How often will a bag contain all three items?

5. Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

Challenge:1. Write a real-word problem that involves two numbers between 9 and 21. Find the LCM of the numbers

and describe what it means in the problem.

2. Carrie and Bryan are finding the least common multiple of 18 and 24. Who is correct explain!

CARRIE BRYAN1 82 4 x7 2

3 6 0 + 4 3 2 LCM is 432

Multiples of 18 : 18, 36, 54, 72Multiples of 24 : 24, 48, 72, 99LCM is 72

Items Bags

Hat Every 2nd visitor

T-shirt Every 7th visitor

Backpack Every 10th visitor

STUDENTS NOTE

What is the difference between GCF and LCM? Fill out on this table!

GREAT COMMON FACTOR LEAST COMMON MULTIPLE

PROBLEM BASED LEARNING

You work as an event organizer. This month you are asked by your client, Highscope school to organize their Anniversary. They will have their celebration in open-door area at Carnaval Beach and demand to invite celebrities as guest star.

Based on the survey, these are the top 6 celebrities demanded by Highscope students including their schedule. You have contacted them all and mostly they requested to have a meeting about the show-run down in area which closer to their daily activities.

Your task is to find out the two celebrities who has match schedule CELEBRITIES SCHEDULE

BRITNEY SPEARS Go to the Universal gym every 3 daysHaving dancing class at Kawai studio every 5 days

JUSTIN BIEBER Go to Sparks salon every 8 daysHaving Interview at ABC TV every 10 days

TAYLOR SWIFT Having Meditation session and Yin Yang every 12 daysHaving photo session at Cosmo magazine every 8 days

JUSTIN TIMBERLAKE Having dancing class at Kawai studio every 6 daysHaving Interview at ABC TV every 15 days

PHARREL WILLIAM Go to the Universal gym every 4 daysHaving Meditation session and Yin Yang every 15 days

DEMI LOVATO Go to Sparks salon every 12 daysHaving photo session at Cosmo magazine every 12 days

The two celebrities I choose are______________________and ________________________

Because they have common activities which are:

______________________ at____________________________ every_________days(name) (place)

______________________ at____________________________ every_________days(name) (place)

PART 1Assumed both celebrities doing the same activities on 1st of September. Use different color of marker, circled on the calendar below the activities of each celebrity!

The available dates when the two celebrities meet up at one place on September are?

The available dates when the two celebrities meet up at one place on October are?

The available dates when the two celebrities meet up at one place on November are?

The available dates when the two celebrities meet up at one place on December are?

Which strategy do you use to solve the problem? GCF or LCM? Explain!

PART 2During the celebration, your client mentions that they will have gala-dinner during the events. On that occasion, you will have 150 participants and they will be divided into groups. Each group will need rectangular table, chairs and flower bouquet. Here are the equipment lists:

EQUIPMENT AMOUNTChairs 150 ChairsSquare table 120 square tableFlower 30 Bouquets

You want to divide each equipment in equal amount, how many groups it should be created? It will be divided into ______ groups. So each group will have : Chairs = 150 : _____ = _____ chairs Tables = 120 : _____ = _____ tables Flowers = 30 : _____ = _____ flowers bouquets

Which strategy you use to solve the problem? GCF or LCM? Explain!

PART 3

Tomorrow is the general rehearsal day and today you must arrange the table arrangement for each group. Proposed table arrangement you can make, choose one and present it in front of your client!

Number of table for each group is ______ tables.Table arrangements possibilities (You can use illustration or arrays)

What strategy do you use to decide this table arrangement? Explain!