Download Number Sense and Numeration – Fractions

Number Sense and Numeration – Fractions
Key Concepts:
A fraction has a numerator and a denominator –
N numerator is the top number
D denominator is the bottom number
There are different types of fractions:
Proper fraction –
A proper fraction is a fraction where the numerator (the top number) is less than the
denominator (the bottom number).
3
4
Improper fraction – The numerator is larger than the denominator

9
7
Mixed number – There is a whole number and a fraction together
1
7
8
Equivalent Fractions - Fractions that are the same amount


2 4 10


5 10 25
Simplest form- When a numerator and a denominator have no common factor other than
one.
11
12
Adding/Subtracting Fractions – The denominator must be the same. If they are different
you should find the lowest common denominator.
Comparing fractions – When comparing fractions, you may need to find a common
denominator.
Success Criteria:
I will demonstrate the understanding of the different types of fractions.( Improper 9/7 or
Mixed 2 2/3)
1 will demonstrate the understanding that any number can be a fraction. ( Example 6 is
6/1)
I will be able to simplify or make fractions smaller by cancelling common factors.
I will be able to order a set of fractions by converting them to improper fractions with a
common denominator.
I will find a common denominator when I am adding or subtracting fractions.
Extensions
Multiplying FractionsThere are 3 simple steps to multiply fractions
1. Multiply the top numbers (the numerators).
2. Multiply the bottom numbers (the denominators).
3. Simplify the fraction if needed.
2 x 2
3
5
= 4
15
Divide Fractions:
Step 1. Turn the second fraction (the one you want to divide by) upside-down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Example:
1
2
÷
1
6
Step 1. Turn the second fraction upside-down (it becomes a reciprocal):
1
6
6 becomes 1
Step 2. Multiply the first fraction by that reciprocal:
1
2
×
6
1
1×6
2×1
=
Step 3. Simplify the fraction:
6
2
=
3
=
6
2