Maths Consolidation Questions

You need to use 2 different strategies to answer the following questions:

241 - 68 = 173

68 + 2 = 70

241 - 70 = 171 + 2 = 173

312 - 56 = 256

56 + 4 = 60

312 - 60 = 252 + 4 = 256

173 - 67 = 106

67 + 3 = 70

173 - 70 = 103 + 3 = 106

56 x 5 = 280

28 x 10 = 280

42 x 6 =252

1/2 of 42 = 21

6 x 2 = 12

21 x 12 = 252

7.0 - 3.25= 3.75

7.0 - 3.0 = 4.0

4.0 - .25 = 3.75

5.75 - 3.51 = 2.24

5 - 1 = 4

70 - 50 = 20

500 - 300 = 200

200 - 20 - 4 = 2.24

9.0 - 4.73 =4.27

9.0 - 4.0 = 5.0

5.0 - .73 = 4.27

6.0 - 2.56 =3.44

6.0 - 2.0 = 4.0

4.0 - .56 = 3.44

Use two different strategies to answer the following questions

There are 24 ladybugs on six leaves. How many lady bugs are on each leaf?

24 divided by 6 = 4

To fill one jug it takes 3 litres. How many jugs can I fill with 21 litres?

3 x 7 = 21

To fill a bucket is takes 8 litres. How many buckets can I fill with 56 litres?

8 x 7 = 56

Experiment #3

Name : Paige and Raeleen

Title of experiment: Straw oboe experiment

Question:

(What do we want to find out?)

We want to find out .....

1. What is producing the sound?

A low pitch sound. Kind of like a real oboe

2. What happens to the pitch as you cut off pieces of the straw?

It gets higher and Higher

Hypothesis:  (what do you think will happen?)

When we have finished the first bit then we think that the pitch will be high. If we make the straw shorter than the pitch will be higher. If we make the straw longer than the pitch will be deeper.

We think this because when the vibrations are travelling through the long straw the vibrations will not be as close and they will be spread out through the straw.

Procedure:

How will we find out?

(Step by step)

Flatten your straw

Get a pair of scissors and cut the edges off the top of the straw.

Put the pointy bit in your mouth

Hold gently and blow

Cut two holes and the blow into it.

Blow into it

Move your fingers over the holes and play the saxaphone.  

Results:

What actually happened?

Well then we cut it shorter then the pitch went really high and it was super annoying. It sounded like a little duckling.  

When it was longer it had  low low pitch and it sounded like a saxaphone.

Conclusions:

What did we learn?

We learnt how to annoy people with just a straw.

We also learnt that we don’t need heaps of equipment to make a little piece of instrument. During this experiment we had loads of fun. We experienced what an oboe sounds like. We loved what we have learnt and we will be happy to use it in the future.

Alphabet Multiplication

Maths Consolidation

Mult/Div consolidation

Hex/Oct

1. George was driving to Lake Taupo from Auckland. Lake Taupo is 407 kms away from Auckland and he had to do the trip three times a week for work. Assuming there are 4 weeks in a month. How many kms did he drive in total in 1 month?

4884

2. Janine had 17 jars of jelly beans each with with 364 jelly beans inside. How many jelly beans did she have in total?

6188

3. The temperature on Mercury is 206 degrees celsius. However the sun is 14 x that temperature. How hot is the sun?

2884 degrees celsius

4. Jake had $675 to go shopping for his birthday. He shared his birthday money between himself and 2 of his friends, how much money did each of them get?

$225

5. Mike had 275mls of milk in his carton. He drank this amount of milk 3 times a week. How much milk does Mike drink in one week?

825

What about two weeks?

1650

A month?

3300

One year?

6600

6. Jane bought two new pairs of shoes every 3 months. How many pairs of shoes did she have after one year?

16 new pairs of shoes

9. The class table was 600cm. The table was shared between 12 students. How many cm of the table did each student have to use?

50 cm each

10. Michael knew that to qualify for the running championships he would need to beat 13.2 seconds to run 150 meters.

Michael ran everyday for one year. How many meters did he run in total?

54750m

What about only six months?

273750

11. Jane knew that her parents would deposit $1.50 per day in to her bank account. How much money was in her account after 3 years?

$1642

What about 12 years? 6468

Second Strategy Presentation

Science Road Show Recount

On the 22nd of May classes 1, 3 & 4 wandered down to Tamaki College where the science roadshow was held. A Science roadshow is a show that explains to you how a few science experiment works, and a lots of facts about what is in our air.

When we got to Tamaki College a tall tall man escorted us to the auditorium. We sat down and then waited for Tamaki College to come. As soon as they got there the show started. They asked us what we think is in our air.

After all the excitement we had to leave and say goodbye to the science road show crew. We learnt what was in our and what is not good for our air. We really enjoyed it and we are glad that we got to experience what they had to teach us.

My Presentation for The Week

Thinkboard for The Week

This thinkboard shows that I have completed the question in it. It also shows what strategy I used which partitioning

My Explanation for Echolocation

Echolocation is the transmission of sound used by bats, dolphins, flying squirrels, porpoises and whales to locate objects.  Whales, among other sea animals, use echolocation in order to see through the sometimes murky depths of the deep ocean.  whales send out high-pitched sounds which are bounced off an object and returned to the whale.

Whales are incredibly intelligent.  Other than the distance, they can also determine such things as texture, shape and size of the object.  This helps them in deciding on where prey and different objects around the ocean may be.

It is believed that dolphin echolocation was the result of evolution over time. This process allows for them to send out sound waves that are like a click. When those sounds hit an object it bounces back vibrations to the dolphins. This allows them to identify where objects are located. It also gives them information about the location of the object and some indication of the shape and size of it.

Water is an excellent sound transmitter.  Sound travels almost five times as fast through water than it does through air.  So if we know that an object is approximately 4500 m away and sound travels at approximately 1500 m/s, then it takes approximately 3 seconds for the echo to reach the object and three seconds to come back.

A great deal of what we know about bat echolocation is credited to Lazzaro Spallanzani. He conducted tests in the 1970’s that involved putting them in darkness. Even so they were able to move around and to find food. However, when he plugged their ears, they had a hard time moving around and finding their food sources. This proved that the bats were relying on their ears and not their eyes for movement.

Echolocation is very very important to animals such as bats, dolphins, porpoises , whales, flying squirrels and rats. Most bats and most whales. Also, two bird groups use the echolocation to navigate through caves. Echolocation is used by animals who usually can't see very well, or they live in an environment that is hard to see.

Echolocation is the transmission of sound used by bats, dolphins, flying squirrels, porpoises and whales to locate objects. If there was no such thing as echolocation then animals like bats, dolphins, flying squirrels, porpoises and whales will not be able to get their prey as fast and when they try they might bump into something. They might get stuck in a net. in the end echolocation is super important to bats, dolphins, flying squirrels, porpoises and whales.

My Maths Consolidation

Mult/Div consolidation                                

Hex/Oct

1. George was driving to Rotorua from Auckland. Rotorua is 344 kms away from Auckland and he had to do the trip three times a week for work. Assuming there are 4 weeks in a

month. How many kms did he drive in total in 1 month?

4128

2. Janine had 12 jar of jelly beans each with with 273 jelly beans inside. How many jelly beans did she have in total?

12 x 273 = 3276

3. The temperature on Venus is 173 degrees celsius. However the sun is 15 x that temperature. How hot is the sun?

173 x 15 = 2595

4. Jake had $750 to go shopping for his birthday. He shared his birthday money with 2 of his friends, how much money did each of them get?

750 Divide BY 2 = 375

5. Mike had 300mls of milk in his carton. He drank this amount of milk 4 times a week. How much milk does Mike drink in one week?

What about two weeks?

2,400 mls

A month?

4,800

One year?

19200

6. Jane bought a pair of shoes every 2 months. How many pairs of shoes did she have after one year?

12 divide by 2 = 6

7. How many pairs did she have after 10 years?

60

9. The class table was 400cm. The table was shared between 8 students. How many cm of the table did each student have to use?

50 cm each

10. Michael knew that to qualify for the running championships he would need to beat 11.7 seconds to run 100 meters.

Michael ran everyday for one year. How many meters did he run in total?

What about only six months?

36500

11. Jane knew that her parents would deposit $1 per day in to her bank account. How much money was in her account after 5 years?

1825

What about 10 years?

3650

Paige and Raeleen Maths Work Week 3

                  Task 1

1. 3 x 134 = 402

3 x 4 = 12

3 x 30 = 90

3 x 100 = 300

12 + 90 + 300 = 402

2. 4 x 233 = 932

4 x 3 = 12

4 x 30 = 120

4 x 200 = 800

12 + 120 + 800 = 932

3. 6 x 518 = 3648

6 x 8 = 48

6 x 10 = 600

6 x 500 = 3000

48 + 600 + 3000 = 3648

4. 4 x 204 = 816

4 x 4 = 16

4 x 0 = 0

4 x 200 = 800

16 + 0 + 800 = 816

5. 6 x 142 = 852

6 x 2 = 12

6 x 40 = 240

6 x 100 = 600

12 + 240 + 600 = 852

6. 9 x 223 = 2007

9 x 3 = 27

9 x 20 = 180

9 x 200 = 1800

27 + 180 + 1800 = 2007

7. 3 x 257 = 771

3 x 7 = 21

3 x 50 = 150

3 x 200 = 600

21 + 150 + 600 = 771

8. 7 x 124 = 1218

7 x 4 = 28

7 x 40 = 490

7 x 100 = 700

28 + 490 + 700 = 1218

9. 4 x 258 = 1032

4 x 8 = 32

4 x 50 = 200

4 x 200 = 800

32 + 200 + 800 = 1032

                      Task 2

1. 4 x 132 = 528

2. 6 x 219 = 1314

3. 8 x 146 = 1168

4. 7 x 512 = 3584

5. 8 x 225 = 1800

6. 6 x 205 = 1230

7. 7 x 225 = 1572

8. 9 x 118 = 1062

9. 8 x 235 = 1880

                    Task 3

a. An orchard has 6 containers with 145 apples in each container. How many apples do they have in total? 6 x 145 = 870

b. A tie company makes 214 ties everyday of the the week (Monday to friday). How many tiyes do they make in total in one week?. 5 x 214 = 1070

c. A mail centre received 354 parcels on Saturday and another 354 parcels on Sunday. How many parcels of mail have they received over the week. 354 x 354 = 125316

d. 5 planes have just landed at the airport. Every plane carries 235 passengers. How many passengers in total have just arrived at the airport?

5 x 235 = 1175

e. A toy maker has just sent out 8 boxes with 215 toy rockets in each box. How many toy rockets have they sent?

8 x 215 = 1720

f. A large department store has 4 boxes of socks. there are 212 pairs of socks in every box. How many pairs of socks do they have to sell?. 4 x 121 = 484

g. A bank robber has filled 6 bags with money. He put 254 coins in every bag. How many coins has he stolen in total? 6 x 254 = 1524

h. A warehouse has 8 boxes of pencils and there are 480 pencils in every box. How many pencils do they have in total?.

8 x 480 = 3840

i. A soup company has 5 boxes of cans. There are 158 cans in each box. How many cans. do they have in total?. 5 x 158 = 790

My Alphabet Multiplication

My Sound Explanation

What is sound? Sound is a form of energy made by vibrations. When an object vibrates, it causes movement in the air particles. These particles bump into the particles close to them, which makes them vibrate too causing them to bump into more air particles. This movement is called sound waves.  

We have learnt that sound is produced by vibration of matter. Sound waves reach our ears by travelling through the air. In dry air at 20 °C (68 °F), at sea level, the speed of sound is 343 metres per second (1,125 ft/s). This is 1,234 kilometres per hour (767 mph), or about a kilometre in three seconds or a mile in five seconds.

Although we can hear sound waves we cannot see them with the naked human eye.  We perceive sound when vibrations are registered in the brain. When the vibrations are fast n you hear a high note. When the vibrations are slow, it creates a low pitch The sound waves in the diagram show the different frequencies for high and low notes.

Picture a stone thrown into a still body of water. The rings of waves expand continuously. The same is true with sound. Irregular repeating sound waves create noise, while regular repeating waves produce musical notes.

Think about this for a little while. What if the world was completely silent. No sound at all. We couldn’t hear a single thing. We wouldn’t know when an ambulance is coming. We couldn’t hear a train that is coming. It would be dangerous to even go outside.

My DLO With Mr Barks

String Telephone Cups Data Sheet

Sound - String telephone data sheet

What are the two thing that made the sound travel well in this experiment?

The string has to be pulled tight so the string can vibrate so that the air molecules can move to your ear.  

You have to put a small hole at the bottom

Why did the sound travel well in each case?

Because the string vibrated which means that the air molecules moved and went into our ear.

What are the two thing that made the sound travel poorly in this experiment?

If you did a big hole the string wouldn't vibrate properly. If the string wasn’t pulled tightly then it couldn’t vibrate too.

Why did the sounds travel poorly in each case?

The thicker the string the better the sound. If you have a long as as as as  string and it is pulled tight you will still be able to hear each other.

How do sounds travel from one cup to another?

Here is why it works. When one person talks into his/her cup, the bottom of the cup vibrates back and forth with the sound waves. Imagine the bottom of the cup moving back and forth very quickly (1,000 times per second or more) with the sound waves of the speaker's voice. The vibrations travel through the string by pulling the string back and forth. Therefore, the bottom of the second cup should start to vibrate back and forth just like the bottom of the first cup is vibrating, producing sound waves. The second person can hear the sound waves and can therefore hear what the first person says.