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Just a quick review from our classroom, in case you've forgotten...

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Just a quick review from our classroom, in case you've forgotten...

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...on what a 'proper fraction', an 'improper fraction', and a 'mixed fraction' are!

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Today we're beginning our work on Proper, Improper and Mixed Fractions. This is difficult! Please watch the following video and read the following page...

VIDEO -> https://www.youtube.com/watch?v=bzFbHkj1JZ4
INFORMATION PAGE -> https://www.mathsisfun.com/improper-fractions.html

Now you're ready for practice quizzes! These do not need to be turned in on Edmodo, but will be needed for tomorrow's activity!

QUIZ (4 Questions) ->
1. http://www.mathopolis.com/questions/q.php?id=912
2. http://www.mathopolis.com/questions/q.php?id=10362
3. http://www.mathopolis.com/questions/q.php?id=10365
4. http://www.mathopolis.com/questions/q.php?id=10361

After finishing the quiz, it's time for us to practice our fraction skills with some new games. These are difficult! Good luck!

1. http://mrnussbaum.com/clarafraction/
2. http://www.sheppardsoftware.com/mathgames/fractions/mathman_improper_fractions.htm
3. https://www.mathplayground.com/fractions_mixed.html

There are proper, improper and mixed fractions link below to help you!

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Just a quick review from our classroom, in case you've forgotten...

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Just a quick review from our classroom, in case you've forgotten...

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...on what a 'proper fraction', an 'improper fraction', and a 'mixed fraction' are!

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3 8

Examples

See how the top number is smaller than the bottom number in each example? That makes it a Proper Fraction.

Three Types of Fractions

There are three types of fraction:

Fractions

A Fraction (such as ) has two numbers:

The top number is the Numerator, it is the number of parts you have.
The bottom number is the Denominator, it is the number of parts the whole is divided into.

So we can define the three types of fractions like this:

Proper Fractions

So, a proper fraction is just a fraction where the numerator (the top number) is less than the denominator (the bottom number). Here are some examples of proper fractions:

¹/ ₂

¹/ ₄

³/ ₈

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3 8 See how the top number is smaller than the bottom number in each example? That makes it a Proper Fraction. There are three types of fraction: A Fraction (such as ) has two numbers: The top number is the Numerator, it is the number of parts you have.

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Here's a 360 degrees, interactive video of Angel Falls in Venezuela! You can use your mouse (or finger on a touchscreen) to look around during the video!

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360°, Angel Falls, Venezuela. Aerial 8K video

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Brainteaser/Riddle of the Day (April 28th)

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Brainteaser/Riddle of the Day (April 28th)

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What does each symbol mean? What is the final answer?

Click here and post your answer!

Don't forget to either sign in (using your Google login, being your student number @pdsb.net) or include your name and riddle question on your post!

Mr. G will 'approve' the correct answers at the start of the next school day!

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7 4

(seven-fourths or seven-quarters)

An Improper Fraction has a top number larger than (or equal to) the bottom number.

More Examples

See how the top number is bigger than (or equal to) the bottom number?
That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions).

Three Types of Fractions

There are three types of fraction:

Fractions

A Fraction (such as ) has two numbers:

The top number (the Numerator) is the number of parts we have.
The bottom number (the Denominator) is the number of parts the whole is divided into.

So we can define the three types of fractions like this:

Improper Fraction

So an improper fraction is a fraction where the top number (numerator) is greater than or equal to the bottom number (denominator): it is top-heavy.

4 4

Can be Equal

What about when the numerator is equal to the denominator? For example ?

Well it is the same as a whole, but it is written as a fraction, so most people agree it is a type of improper fraction.

Improper Fractions or Mixed Fractions

We can use either an improper fraction or a mixed fraction to show the same amount.

Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:

Divide the numerator by the denominator.

Write down the whole number answer

Then write down any remainder above the denominator.

Example: Convert to a mixed fraction.

Divide:

Write down the 2 and then write down the remainder (3) above the denominator (4).

Answer:

That example can be written like this:

Example: Convert to a mixed fraction.

Answer:

Converting Mixed Fractions to Improper Fractions

To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator

Then write the result on top of the denominator.

Example: Convert 3 to an improper fraction.

Multiply the whole number part by the denominator:

Add that to the numerator:

Then write that result above the denominator:

We can do the numerator in one go:

Example: Convert 2 to an improper fraction.

Are Improper Fractions Bad ?

NO, they aren't bad!

For mathematics they are actually better than mixed fractions. Because mixed fractions can be confusing when we write them in a formula: should the two parts be added or multiplied?

Mixed Fraction:

What is:

Is it:

1 + 2 + 1 4

= 3 1 4 ?

Or is it:

1 + 2 × 1 4

= 1 1 2 ?

Improper Fraction:

What is:

It is:

4 9 13 4 4 = 4 +

But, for everyday use, people understand mixed fractions better.

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7 4 (seven-fourths or seven-quarters) An Improper Fraction has a top number larger than (or equal to) the bottom number. See how the top number is bigger than (or equal to) the bottom number? That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions).

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1 3 4

(one and three-quarters)

A Mixed Fraction is a whole number and a proper fraction combined.

Such as 1

Examples

See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).

Names

We can give names to every part of a mixed fraction:

Three Types of Fractions

There are three types of fraction:

Mixed Fractions or Improper Fractions

We can use either an improper fraction or a mixed fraction to show the same amount.

Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps:

Divide the numerator by the denominator.

Write down the whole number answer

Then write down any remainder above the denominator.

Example: Convert to a mixed fraction.

Divide:

Write down the 2 and then write down the remainder (3) above the denominator (4).

Answer:

That example can be written like this:

Example: Convert to a mixed fraction.

Answer:

Converting Mixed Fractions to Improper Fractions

To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator

Then write the result on top of the denominator.

Example: Convert 3 to an improper fraction.

Multiply the whole number part by the denominator:

Add that to the numerator:

Then write that result above the denominator:

We can do the numerator in one go:

Example: Convert 2 to an improper fraction.

Are Improper Fractions Bad ?

NO, they aren't bad!

For mathematics they are actually better than mixed fractions. Because mixed fractions can be confusing when we write them in a formula: should the two parts be added or multiplied?

Mixed Fraction:

What is:

it may be:

1 + 2 + 1 4

Or it may be:

1 + 2 × 1 4

Improper Fraction:

What is:

It is:

4 9 13 4 4 = 4 +

But, for everyday use, people understand mixed fractions better.

4955, 4956, 916, 917, 1374, 1375, 3538, 3536, 3537, 3539

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1 3 4 (one and three-quarters) A Mixed Fraction is a whole number and a proper fraction combined. Such as 1 See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).

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We're going to be adding, subtracting and multiplying fractions in the future, but before we do this we need to know how to make fractions 'equivalent'. This means to make fractions have the same denominator (bottom number) so we can understand how they compare to each other!

Video Examples -> https://youtu.be/N1X0vf5PUz4
Information Page -> https://www.mathsisfun.com/equivalent_fractions.html

Now we're ready for some practice! Try these four questions linked below. These do not need to be turned in on Edmodo, but will be needed for tomorrow's activity!

Quiz (4 Questions) -> https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/e/visualizing-equivalent-fractions

After finishing the quiz, it's time for us to practice our fraction skills with some new games. These are difficult! Good luck!

1. https://mrnussbaum.com/fraction-dolphins
2. https://www.abcya.com/games/equivalent_fractions_bingo
3. https://www.mathplayground.com/Triplets/index.html
4. http://www.sheppardsoftware.com/mathgames/fractions/memory_equivalent1.htm

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There're activities and online exercise links for each day! Ms. Saxon will be joining in with these instructors at the time listed on the page below.

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Bonjour tout le monde! Bienvenue à la 4e semaine de la classe virtuelle.

There are 2 tasks that I have assigned on Brightspace for French this week. Please check those out and complete them before Friday.

In addition, if you didn't read the instructions from last week, you may have missed that there were 3 tasks to complete (not just the Boom Learning activity), so I ask anyone who didn't complete the 3rd task - which needs to be submitted - to go back and finish the work from last week. Thanks!

Again, if you have any questions or don't understand something please email me at p0190265@pdsb.net

Bonne Semaine!

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Good morning!  What has been your favourite PE activity so far this week?  Two-Player Juggling, PE with Joe, or Coco the Butterfly Cosmic Yoga?