 Whole Numbers  Fractions  Proportions  Fraction Families  Modelling  Equivalent Fractions  Equivalent Decimals

 Lets look at a number …  Why is 4 a whole number? complete If I say you have 4 of something, I am saying you have 4 complete “somethings”

If we cut BB8 in half using a line of symmetry … This is no longer a whole … The Numerator The Denominator How many parts the whole is divided into Number of parts you have This is one of the two parts you need to make a full BB8. That makes it ½ a BB8.

These are all sixths. What does that mean? Pick a something and model each fractional amount.

equal  A fraction represents an equal part of a whole.

 Complicated shapes are hard to use as effective models. Grid paper is your friend … If you are modeling this way you are saying the whole is represented by a set of things … like six BB8s

 You need to select a shape that can be divided easily into equal portions.  You need to take time to ensure you shade or colour each portion in correctly. This is an effective model of

Equivalent fractions represent the same quantity or value. In this case, both and have the same quantity of pink and blue.

All these equivalent fractions have the same quantity of pink and blue.

Model each of the following fractions and an equivalent fraction Example

OR

x 2

Create 2 equivalent fractions for each

Basic “War Card Rules”  2- 3 players  Each player is given an equal stack of cards.  Players draw cards and flip them over in the centre.  Player with the greatest value wins and takes all the cards.  You keep playing until someone has all the cards.

KID A KID B KID C

KID A KID B KID C

KID A KID B KID C

To convert a fraction to a decimal you need to divide the numerator by the denominator

 You don’t know if the a decimal value is greater then a fraction value …

 There are some fraction/decimal comparison we come to just “know”.  In the meantime use the calculator strategy to determine the decimal equivalents.

 Convert the following fractions to decimals using a calculator

 Fractions are usually not alone. We often describe things as wholes and parts of a whole. For example …  There’s an hour and a half until school is over.  Its about 2 and a quarter kilometers to the Science Centre.  A mixed number fraction is a mix of fractions and numbers …

 You need to have more than 1 whole that has been divided into some amount. How many parts make up the whole? So we need more then one chocolate bar … We have 3 complete chocolate bars each made up of 12 pieces If we nibble away at one we change the quantity. Now what do we have? Well … we still have 2 wholes bars. But we only have 8 of the 12 pieces to make up the last whole bar. You have …

 The rule for fractions is that the numerator should always be smaller then the denominator to keep things simple. If the numerator is larger then the denominator then you either have a whole or a mixed number fraction (something greater then 1 whole). So... 1 Chocolate Bar You have … But no one says “I have twelve twelfths of a chocolate bar” do they? Its just 1. A proper fraction

 We need to get the numerator bigger then the denominator to get an improper fraction. To do that we need more than 1 whole.  This is 2 … I mean obviously!! But our 2 chocolate bars are made up of a combined 24 pieces of chocolate. We can show this as an improper fraction … The chocolate bars are made of 12 pieces. And you have 24 of them.

Grid paper is your friend #gridpaperrocks Grid Paper Bacon Grid is Gr8

Model the following mixed number fraction

Model the following mixed improper fraction

Express this model as a mixed number and improper fraction.

These fractions have a common denominator That means the numerator determines the greatest fraction

These fractions do not have a common denominator That means the numerator does not determine the greatest fraction

Use, or = to show which is greater.

Tenths or 10 ths are commonly used … Lets say this green bar represents our model of a whole 10 equal sized squares make up the whole That means each square makes up one tenth, or one part of the ten we need to make a whole.

 A decimal tenth and a fractional tenth have the same value.

 Because we know that decimal tenths and fractional tenths are the same we can convert fractional tenths to decimals and decimal tenths to fractions

 Figure these out …

Convert each fractional tenth to a decimal.

Convert each decimal tenth to a fraction.

A hundredth is a fractional amount of a whole that has been split into 100 equal parts.

 Because we know that decimal tenths and fractional tenths are the same we can convert fractional tenths to decimals and decimal tenths to fractions

 Figure these out ….

Convert each fractional hundreth to a decimal.

Convert each decimal hundredth to a fraction.

 An iPhone 6s (64GB) costs approximately $1000 at stores.  It costs apple of that cost to manufacturer each phone.  How much does it cost Apple in dollars to produce each iPhone?  What is the difference between the cost of the iPhone in stores and what Apple pays to built it?

We learned it costs approximately $16 for Nike to manufacture a pair of Air Jordans (which they sell for $200). An eighth of that cost is paying the employees of the Nike plant in China. How much money does Nike pay their employees in to make a pair of Air Jordans? Explain.

 Order the following values from least to greatest …

 Come to school with questions if you have any. We will continue our review next week