In dealing with the Metric measurements we must be able to convert from one unit to another.

RULE:- To convert from a large unit to a small we multiply the large unit by the small unit.

RULE:-To convert from a small unit to a large we divide the small unit by the large

unit.

A** milliliter** (that

is "milli" and "liter" put together) is a very small amount of liquid.

Here is a

milliliter of milk in a teaspoon.

It doesn't even

fill the teaspoon!

Tom says if you collect about 20 drops of water, you will have 1 milliliter:

20

drops of water

make

about 1 milliliter

And

that a teaspoon can hold about**five** milliliters:

1

full teaspoon of liquid

is

about 5 milliliters

Milliliters

are often written as ml (for short), so "100 ml" means "100

milliliters".

But

a milliliter is definitely not enough for someone who is thirsty! So Tom told me

about liters.

A**liter** is just a bunch of milliliters put

all together. In fact, 1000 milliliters makes up 1 liter.

1

liter = 1,000 milliliters

This jug has

exactly 1 liter of water in it.

Liters are

often written as L (for

short), so "3 L" means "3 Liters".

Milk,

soda and other drinks are often sold in liters.

Tom

says to look on the labels, so the next time you are at the store take a minute

and check out how many liters (or milliliters) are in each container!

Now

I know that a milliliter is very small, and a liter is like a jug in size, I

think I will ask for half a liter of juice!

So

this is all you need to know:

**1 Liter = 1,000 Milliliters**

Mass

(Weight)

G**rams**

Grams are the smallest, Tonnes are the biggest.

Grams

A paperclip weighs about 1 gram.

Hold one small paperclip in your hand. Does that weigh a lot? No! A gram is very light. That is why you often see things measured in hundreds of grams.

Grams are often written as g (for short), so "300 g" means "300 grams".

Tom tells me a loaf of bread weighs about**700 g**

Kilograms Once you have 1,000 grams, you have 1**kilogram**.

1 kilogram = 1,000 grams

A dictionary has a mass of about one kilogram.

Kilograms are great for measuring things that can be lifted by people (sometimes very strong people are needed of course!).

Kilograms are often written as kg (that is a "k" for "kilo" and a "g" for "gram), so "10 kg" means "10 kilograms".

When you weigh yourself on a scale, you would use kilograms. Tom weighs about 40 kg. How much do you weigh?

But when it comes to things that are**very** heavy, we need to use the tonne.

Tonne

Once you have 1000 kilograms, you will have 1 tonne.

1 tonne = 1,000 kilograms

Tonnes (also called Metric Tons) are used to measure things that are very heavy.

Things like cars, trucks and large cargo boxes are weighed using the tonne.

This car has a mass of about 2 tonnes.

Tonnes are often written as t (for short), so "5 t" means "5 tonnes".

Final thoughts about mass:

**1 kilogram = 1,000 grams**

**1 tonne = 1,000 kilograms**

Length

Measuring how long things are, how tall they are, or how far apart they might be are all examples of length measurements.

**Millimeters**

Small

units of length are called**millimeters**.

A millimeter is about the**thickness** of a plastic id card (or credit card).

Or about the thickness of 10 sheets of paper on top of each other.

This is a very small measurement!

Centimeters

When you have something that is 10 millimeters, it can be said that it is 1 centimeter.

1 centimeter = 10 millimeters

A fingernail is about**one centimeter wide**.

You might use centimeters to measure how tall you are, or how wide a table is, but you would not use it to measure the length of football field. In order to do that, you would switch to meters.

Meters

A**meter** is equal to 100 centimeters.

1 meter = 100 centimeters

The length of this guitar is about 1 meter

Meters might be used to measure the length of a house, or the size of a

playground.

Kilometers

When you need to get from one place to another, you will need to measure that distance using kilometers. A kilometer is equal to 1,000 meters.

The distance from one city to another or how far a plane travels would be measured using kilometers.

Final thoughts about measuring length:

**1 centimeter = 10 millimeters**

**1 meter = 100 centimeters**

**1 kilometer = 1000 meters**

]]>is "milli" and "liter" put together) is a very small amount of liquid.

Here is a

milliliter of milk in a teaspoon.

It doesn't even

fill the teaspoon!

Tom says if you collect about 20 drops of water, you will have 1 milliliter:

20

drops of water

make

about 1 milliliter

And

that a teaspoon can hold about

1

full teaspoon of liquid

is

about 5 milliliters

Milliliters

are often written as ml (for short), so "100 ml" means "100

milliliters".

But

a milliliter is definitely not enough for someone who is thirsty! So Tom told me

about liters.

A

all together. In fact, 1000 milliliters makes up 1 liter.

1

liter = 1,000 milliliters

This jug has

exactly 1 liter of water in it.

Liters are

often written as L (for

short), so "3 L" means "3 Liters".

Milk,

soda and other drinks are often sold in liters.

Tom

says to look on the labels, so the next time you are at the store take a minute

and check out how many liters (or milliliters) are in each container!

Now

I know that a milliliter is very small, and a liter is like a jug in size, I

think I will ask for half a liter of juice!

So

this is all you need to know:

Mass

(Weight)

G

**Kilograms****Tonnes**

Grams are the smallest, Tonnes are the biggest.

Grams

A paperclip weighs about 1 gram.

Hold one small paperclip in your hand. Does that weigh a lot? No! A gram is very light. That is why you often see things measured in hundreds of grams.

Grams are often written as g (for short), so "300 g" means "300 grams".

Tom tells me a loaf of bread weighs about

Kilograms Once you have 1,000 grams, you have 1

1 kilogram = 1,000 grams

A dictionary has a mass of about one kilogram.

Kilograms are great for measuring things that can be lifted by people (sometimes very strong people are needed of course!).

Kilograms are often written as kg (that is a "k" for "kilo" and a "g" for "gram), so "10 kg" means "10 kilograms".

When you weigh yourself on a scale, you would use kilograms. Tom weighs about 40 kg. How much do you weigh?

But when it comes to things that are

Tonne

Once you have 1000 kilograms, you will have 1 tonne.

1 tonne = 1,000 kilograms

Tonnes (also called Metric Tons) are used to measure things that are very heavy.

Things like cars, trucks and large cargo boxes are weighed using the tonne.

This car has a mass of about 2 tonnes.

Tonnes are often written as t (for short), so "5 t" means "5 tonnes".

Final thoughts about mass:

Length

Measuring how long things are, how tall they are, or how far apart they might be are all examples of length measurements.

**Centimeters****Meters****Kilometers**

Small

units of length are called

A millimeter is about the

Or about the thickness of 10 sheets of paper on top of each other.

This is a very small measurement!

Centimeters

When you have something that is 10 millimeters, it can be said that it is 1 centimeter.

1 centimeter = 10 millimeters

A fingernail is about

You might use centimeters to measure how tall you are, or how wide a table is, but you would not use it to measure the length of football field. In order to do that, you would switch to meters.

Meters

A

1 meter = 100 centimeters

The length of this guitar is about 1 meter

Meters might be used to measure the length of a house, or the size of a

playground.

Kilometers

When you need to get from one place to another, you will need to measure that distance using kilometers. A kilometer is equal to 1,000 meters.

The distance from one city to another or how far a plane travels would be measured using kilometers.

Final thoughts about measuring length:

Introduction

Grids have 2 axes. The horizontal axis is called the x-axis and the vertical

axis is called the y-axis. These axis can be used to find a point on a grid.

These axes can be extended to include negative numbers as well as positive

numbers. This is called a grid with four quadrants.

Coordinates

A grid has an x-axis and a y-axis.

A point on a grid has two numbers to identify its position. These two numbers

are known as the point's coordinates.

Coordinates are always written as the number of steps**across**

first, then the number of**steps up or down**.

Point**a)** has coordinates of (2,4)

Point**b)** has coordinates of (4,2)

Grids have 2 axes. The horizontal axis is called the x-axis and the vertical

axis is called the y-axis. These axis can be used to find a point on a grid.

These axes can be extended to include negative numbers as well as positive

numbers. This is called a grid with four quadrants.

Coordinates

A grid has an x-axis and a y-axis.

A point on a grid has two numbers to identify its position. These two numbers

are known as the point's coordinates.

Coordinates are always written as the number of steps

first, then the number of

Point

Point

Grid with four quadrants

The x axis can be extended to the left into negative numbers and the y axis

can be extended down into negative numbers.

The grid then has four areas called quadrants.

]]>The x axis can be extended to the left into negative numbers and the y axis

can be extended down into negative numbers.

The grid then has four areas called quadrants.

A line graph uses points and lines on a grid to show change over a period of time.

How to make a line graph:

1. Use the data from the table to choose an appropriate scale.

All scales start at 0.

2. Draw and label the scale on the vertical axis.

(Vertical means "up and down.")

3. Draw and label the

horizontal axis. (Horizontal means "across.")

4. List the name of each item.

5. Locate the points on the graph.

6. Connect the points with line segments.

7. Write the title of the line graph.

]]>How to make a line graph:

1. Use the data from the table to choose an appropriate scale.

All scales start at 0.

2. Draw and label the scale on the vertical axis.

(Vertical means "up and down.")

3. Draw and label the

horizontal axis. (Horizontal means "across.")

4. List the name of each item.

5. Locate the points on the graph.

6. Connect the points with line segments.

7. Write the title of the line graph.

http://www.studyzone.org/testprep/math4/d/functiontable4l.cfm

Please complete the following activities in your note books

http://www.mathscore.com/math/practice/Function%20Tables/

]]> Time Problems

Make sure you show all your workings out

1. Maths starts at 10.25 and lasts for 45 minutes. At what time does Maths finish?

2. Science lasts for 55 minutes and ends at 3.30. At what time does Science start?

3. Year 6 have a 40 minute Maths lesson every day. In one week at school how

long will Year 6 have spent in Maths?

4. Class 3 needs to get to the museum at 11.30. It is a 17 minute walk from school

to the museum. At which time must Class 3 leave school if they are to arrive at

the museum at exactly 11.30?

5. Lucy left home at 10 am. She spent 10 minutes walking to Stacey’s house and

then stayed with Stacey for 2 hours. Lucy then spent another 10 minutes

walking home. At what time did Lucy arrive home?

6. Class 5 are meant to have 1 hour of English every day. Last week however, one

of their lessons was cut in half because they had a special assembly. How long

did Class 5 spend in English last week?

7. Adrian spent 11

/2 hours visiting 6 friends. He spent exactly the same amount of

time at each friend’s house. How long did Adrian spend at each friends house?

8. Paul caught a train to Liverpool at 1.25 pm. The journey last 2 hours and 15

minutes. At what time did Paul arrive in Liverpool?

9. It takes Jason 12 minutes to read one page of his book. He has 6 pages left to

read. How long will it take Jason to finish reading his book?

10. Suzy and Phil missed 22 minutes of the film as they arrived late at the cinema.

The film lasted for 1 hour and 48 minutes. How much of the film did Suzy and

Phil see?

]]>Make sure you show all your workings out

1. Maths starts at 10.25 and lasts for 45 minutes. At what time does Maths finish?

2. Science lasts for 55 minutes and ends at 3.30. At what time does Science start?

3. Year 6 have a 40 minute Maths lesson every day. In one week at school how

long will Year 6 have spent in Maths?

4. Class 3 needs to get to the museum at 11.30. It is a 17 minute walk from school

to the museum. At which time must Class 3 leave school if they are to arrive at

the museum at exactly 11.30?

5. Lucy left home at 10 am. She spent 10 minutes walking to Stacey’s house and

then stayed with Stacey for 2 hours. Lucy then spent another 10 minutes

walking home. At what time did Lucy arrive home?

6. Class 5 are meant to have 1 hour of English every day. Last week however, one

of their lessons was cut in half because they had a special assembly. How long

did Class 5 spend in English last week?

7. Adrian spent 11

/2 hours visiting 6 friends. He spent exactly the same amount of

time at each friend’s house. How long did Adrian spend at each friends house?

8. Paul caught a train to Liverpool at 1.25 pm. The journey last 2 hours and 15

minutes. At what time did Paul arrive in Liverpool?

9. It takes Jason 12 minutes to read one page of his book. He has 6 pages left to

read. How long will it take Jason to finish reading his book?

10. Suzy and Phil missed 22 minutes of the film as they arrived late at the cinema.

The film lasted for 1 hour and 48 minutes. How much of the film did Suzy and

Phil see?

Prime FactorizationPrime NumbersA Prime Number can be divided evenly **only** by 1 or itself.

And it must be a whole number greater than 1.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, and 17 ..., and we have a prime number chart if you need more.

Factors"Factors" are the numbers you multiply together to get another number:

Prime Factorization"Prime Factorization" is finding**which prime numbers** multiply together to make the original number.

Here are some examples:

Example 1: What are the prime factors of 12 ?It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

Yes, it divided evenly by 2. We have taken the first step!

But 6 is not a prime number, so we need to go further. Let's try 2 again:

6 ÷ 2 = 3

Yes, that worked also. And 3**is** a prime number, so we have the answer:

**12 = 2 × 2 × 3**

As you can see,**every factor** is a **prime number**, so the answer must be right.

Note:**12 = 2 × 2 × 3** can also be written using exponents as **12 = 22 × 3**

Example 2: What is the prime factorization of 147 ?Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:

147 ÷ 3 = 49

Then we try factoring 49, and find that 7 is the smallest prime number that works:

49 ÷ 7 = 7

And that is as far as we need to go, because all the factors are prime numbers.

**147 = 3 × 7 × 7**

(or**147 = 3 × 72** using exponents)

Example 3: What is the prime factorization of 17 ?Hang on ...**17 is a Prime Number**.

So that is as far as we can go.

**17 = 17**

Another MethodWe showed you how to do the factorization by starting at the smallest prime and working upwards.

But sometimes it is easier to break a number down into**any factors** you can ... then work those factor down to primes.

Example: What are the prime factors of 90 ?Break 90 into 9 × 10

**3, 3, 2 and 5**

Factor TreeAnd a "Factor Tree" can help: find**any factors** of the number, then the factors of those numbers, etc, until we can't factor any more.

Example: 48**48 = 8 × 6**, so we write down "8" and "6" below 48

Now we continue and factor 8 into**4 × 2**

Then 4 into**2 × 2**

And lastly 6 into**3 × 2**

We can't factor any more, so we have found the prime factors.

Which reveals that**48 = 2 × 2 × 2 × 2 × 3**

Why find Prime Factors?A prime number can only be divided by 1 or itself, so it cannot be factored any further!

Every other whole number can be broken down into prime number factors.

It is like the Prime Numbers are the**basic building blocks** of all numbers.

This can be very useful when working with big numbers, such as in Cryptography.

CryptographyCryptography is the study of secret codes. Prime Factorization is very important to people who try to make (or break) secret codes based on numbers.

That is because factoring very large numbers is very hard, and can take computers a long time to do.

If you want to know more, the subject is "encryption" or "cryptography".

UniqueAnd here is another thing:

**There is only one (unique!) set of prime factors for any number.**

]]>And it must be a whole number greater than 1.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, and 17 ..., and we have a prime number chart if you need more.

Factors"Factors" are the numbers you multiply together to get another number:

Prime Factorization"Prime Factorization" is finding

Here are some examples:

Example 1: What are the prime factors of 12 ?It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

Yes, it divided evenly by 2. We have taken the first step!

But 6 is not a prime number, so we need to go further. Let's try 2 again:

6 ÷ 2 = 3

Yes, that worked also. And 3

As you can see,

Note:

Example 2: What is the prime factorization of 147 ?Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:

147 ÷ 3 = 49

Then we try factoring 49, and find that 7 is the smallest prime number that works:

49 ÷ 7 = 7

And that is as far as we need to go, because all the factors are prime numbers.

(or

Example 3: What is the prime factorization of 17 ?Hang on ...

So that is as far as we can go.

Another MethodWe showed you how to do the factorization by starting at the smallest prime and working upwards.

But sometimes it is easier to break a number down into

Example: What are the prime factors of 90 ?Break 90 into 9 × 10

- The prime factors of 9 are
**3 and 3** - The prime factors of 10 are
**2 and 5**

Factor TreeAnd a "Factor Tree" can help: find

Example: 48

Now we continue and factor 8 into

Then 4 into

And lastly 6 into

We can't factor any more, so we have found the prime factors.

Which reveals that

Why find Prime Factors?A prime number can only be divided by 1 or itself, so it cannot be factored any further!

Every other whole number can be broken down into prime number factors.

It is like the Prime Numbers are the

This can be very useful when working with big numbers, such as in Cryptography.

CryptographyCryptography is the study of secret codes. Prime Factorization is very important to people who try to make (or break) secret codes based on numbers.

That is because factoring very large numbers is very hard, and can take computers a long time to do.

If you want to know more, the subject is "encryption" or "cryptography".

UniqueAnd here is another thing:

Please enter your 3 favorite subjects

]]>HOW TO CHOOSE WHICH TYPE OF GRAPH TO USE?

**When to Use . . .**

**. . . a Line graph.**

Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group.

**. . . a Pie Chart.**

Pie charts are best to use when you are trying to compare parts of a whole. They do not show changes over time.

**. . . a Bar Graph.**

Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.

]]>Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group.

Pie charts are best to use when you are trying to compare parts of a whole. They do not show changes over time.

Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.

What is 'interpreting data'?

]]>- Data means
**information**. So interpreting data just means working out what the information is telling you. - Information is sometimes shown in
**tables, charts and graphs**to make the information easier to read. It is important to read all the different parts of the table, chart or graph. - Tables

A table is used to write down a number of pieces of data about different things.

The**title**of the table tells us what the table is about.

The**headings**tell us what data is in each column.

A ratio shows the relative sizes of two or more values.

Ratios can be shown in different ways. Using the ":" to separate example values, or as a single number by dividing one value by the total.

Example: if there is 1 boy and 3 girls you could write the ratio as:

1:3 (for every one boy there are 3 girls)

1/4 are boys and 3/4 are girls

0.25 are boys (by dividing 1 by 4)

25% are boys (0.25 as a percentage)

Please try the following questions.

1) 42 points out of 66 points _____

2) 35 rainy days out of 84 days _____

3) 28 pounds to 40 pounds _____

4) 28 footballs to 35 foorballs _____

5) 28 dimes to 49 dimes _____

6) 25 cups to 30 cups _____

7) 16 beetles out of 20 insects _____

8) 32 miles out of 44 miles _____

9) 15 dimes out of 30 coins _____

10) 4 cakes out of 20 cakes _____

http://www.mathsisfun.com/numbers/ratio.html