# data[].attributes.headline
Investigation 4 : (HW  #6) Use fact families to find the value of N. 3/4 + N = 4/5. 

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Investigation 4 : (HW  #6) Use fact families to find the value of N. 3/4 + N = 4/5. 

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3/4 + N = 4/5 = 4/5 - 3/4 = 16/20 - 15/20 = 1/20.

N = 1/20.

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Investigation 4 : (HW #7) Use fact families to find the value of N.  N - 3/5 = 1/4.

# data[].attributes.subject
Investigation 4 : (HW #7) Use fact families to find the value of N.  N - 3/5 = 1/4.

# data[].attributes.body
N - 3/5 = 1/4 = 1/4 + 3/5 = 5/20 + 12/20 = 17/20.

N = 17/20.

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Definition taken out of CMP3 Grade 6 Textbook

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Investigation 4 Definition of : Fact Families

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Investigation 4 Definition of : Fact Families

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For every single equation, there are related number sentences that show the same information. These sets of number sentences form related sets of facts called a fact family. (Usually change the order of the numbers/variables and sometimes changes the operation being used).

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Investigation 4 Definition of : Variable

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Investigation 4 Definition of : Variable

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A variable is a letter that represents a unknown value.

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Investigation 4 : (HW #17) Use fact families to find the value of N. N divided by 1/5 = 2/3.

# data[].attributes.subject
Investigation 4 : (HW #17) Use fact families to find the value of N. N divided by 1/5 = 2/3.

# data[].attributes.body
N divided by 1/5 = 2/3 = 2/3 x 1/5 = N = 2/3 x 1/5 = 2/15.

N = 2/15.

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Investigation 4 : (HW #16) Use fact families to find the value of N. N x 1/5 = 2/15.

# data[].attributes.subject
Investigation 4 : (HW #16) Use fact families to find the value of N. N x 1/5 = 2/15.

# data[].attributes.body
N x 1/5 = 2/15 = 2/3 x 1/5 = 2/15.

N = 2/3.

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Example / Extra ; Click on photo to see a more clear photo. 

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Investigation 3 : Remember, when dividing fractions...

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Investigation 3 : Remember, when dividing fractions...

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Investigation 3 : The reciprocal of 3 & 1/2 is?

# data[].attributes.subject
Investigation 3 : The reciprocal of 3 & 1/2 is?

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3 & 1/2 = 7/2 -> 2/7

The reciprocal of 3 & 1/2 is 2/7.

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Investigation 3 : The reciprocal of 2/3 is?

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Investigation 3 : The reciprocal of 2/3 is?

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The reciprocal of 2/3 is 3/2, or 1 & 1/2.

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Investigation 3 Definition of : Reciprocal

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Investigation 3 Definition of : Reciprocal

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A reciprocal is the inverse value of a number. Reciprocals are used commonly in division problems including fractions. the reciprocal of a number is when you switch the place of the numerator and the denominator.

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Investigation 3 : 2 & 1/2 divided by 3/4 is?

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Investigation 3 : 2 & 1/2 divided by 3/4 is?

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2 & 1/2 divided by 3/4 =  5/2 divided by 3/4 = 5/2 x 4/3 = 20/12 = 1 & 8/12 -> 1 & 2/3.

2 & 1/2 divided by 3/4 = 1 & 2/3.

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Investigation 3 Definition of : Quotient

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Investigation 3 Definition of : Quotient

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The quotient is the result of a division equation, or, the result of dividing one quantity by another.

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Investigation 3 : 1/2 divided by 3/4 = ?

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Investigation 3 : 1/2 divided by 3/4 = ?

# data[].attributes.body
1/2 divided by 3/4 = 1/2 x 4/3 = 4/12 -> 1/3.

1/2 divided by 3/4 = 1/3.

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3/4 divided by 16 = 3/4 x 16/1 = 3/4 x 1/16 = 3/64.

3/4 divided by 16 = 3/64.

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Investigation 2 : What is in a multiplication equation?

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Investigation 2 : What is in a multiplication equation?

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Investigation 2 Definition of : Cross Cancelling / Cancelling Diagonally

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Investigation 2 Definition of : Cross Cancelling / Cancelling Diagonally

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Cross cancelling is when multiplying fractions, you can reduce a numerator and denominator across from difference fractions by dividing by a common factor.

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 Investigation 2 Definition of : Product

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 Investigation 2 Definition of : Product

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The product is the total/answer to a multiplication equation.

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Yellow (Horizontal) = 3/4 ; Blue (Vertical) = 2/3 ; Green = Overlapping.

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Investigation 2 : Draw a fraction model to represent 2/3 of 3/4.

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Investigation 2 : Draw a fraction model to represent 2/3 of 3/4.

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3 & 4/5 x 1/4 = 19/5 x 1/4 = 19/20.

3 & 4/5 x 1/4 = 19/20.

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3/4 x 16 = 48/4 = 12.

3/4 x 16 = 12.

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1/2 of 3/4 = 3/8.

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2/3 of 2/5 = 4/15.

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Investigation 1 : Find the sum. 1 & 2/5 + 1 & 1/3 =

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Investigation 1 : Find the sum. 1 & 2/5 + 1 & 1/3 =

# data[].attributes.body
1 & 2/5 + 1 & 1/3 = 1 & 6/15 + 1 & 5/15 = 2 & 11/15.

1 & 2/5 + 1 & 1/3 = 2 & 11/15.

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Investigation 1 : Find the difference. 11 & 1/2 - 2 & 2/3 = 

# data[].attributes.subject
Investigation 1 : Find the difference. 11 & 1/2 - 2 & 2/3 = 

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11 & 1/2 - 2 & 2/3 = 11 & 3/6 - 1 & 4/6 = 10 & 9/6 - 1 & 4/6 = 9 & 5/6.

11 & 1/2 - 2 & 2/3 = 9 & 5/6.

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Investigation 1 : Is the sum of 1.352 and 0.84 closer to 0, 1, 2, or 3?

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Investigation 1 : Is the sum of 1.352 and 0.84 closer to 0, 1, 2, or 3?

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1.352 + 0.84 =  2.192

The sum of 1.352 and 0.84 is closest to 2.

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Investigation 1 : Is the sum of 1 & 3/4 and 1/8 closer to 1, 2, or 3?

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Investigation 1 : Is the sum of 1 & 3/4 and 1/8 closer to 1, 2, or 3?

# data[].attributes.body
1 & 3/4 + 1/8 = 1 & 6/8 + 1/8 = 1 & 7/8.

The sum of 1 & 3/4 and 1/8 is closest to 2.

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Investigation 1 : What is in an addition equation?

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Investigation 1 : What is in an addition equation?

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Investigation 1 Definition of : Difference

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Investigation 1 Definition of : Difference

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The difference is the result of subtracting two numbers.

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Investigation 1 : Order from least to greatest : 1.05, 0.7, 3/5, 1/4, 9/10

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Investigation 1 : Order from least to greatest : 1.05, 0.7, 3/5, 1/4, 9/10

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Least : 1/4, 3/5, 0.7, 9/10, 1.05 : Greatest

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Investigation 1 Definition of : Improper Fraction

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Investigation 1 Definition of : Improper Fraction

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A improper fraction is a fraction in which the numerator is larger than the denominator.

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Investigation 1 : Find the difference : 5/10 - 1/8 = ?

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Investigation 1 : Find the difference : 5/10 - 1/8 = ?

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5/10 - 1/8 = 20/40 - 5/40 = 15/40 = 3/8.

5/10 - 1/8 = 3/8.

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Investigation 1 : Find the sum : 1/8 + 1/2 = ?

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Investigation 1 : Find the sum : 1/8 + 1/2 = ?

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1/8 + 1/2 = 1/8 + 4/8 = 5/8.

1/8 + 1/2 = 5/8.

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The sum is the total of two or more numbers added together.

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Investigation 1 Definition of : Mixed Number

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Investigation 1 Definition of : Mixed Number

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A mixed number is a number consisting of an integer and a proper fraction.

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Investigation 1 Definition of : Common Denominators

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Investigation 1 Definition of : Common Denominators

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A common denominator are a shared or common multiple between two or more denominators.

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Investigation 1 Definition of : Estimation

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Investigation 1 Definition of : Estimation

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An estimation is when you round or get and approximate quantity to get a close, but not exact answer.