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Tuesday 11 December 2018

Tuesday December 11, 2018

Tremendous Tuesday!

We began the day with our unit in math: Fractions and Decimals. 

Our focus today was combining fractions and adding fractions using models. Our learning goal for today: to review how to use fraction strips to add fractions. 


When adding fractions a good strategy to use is estimation first; we can use fraction strip to help us with this. When estimating, use the ½ mark to see if the fraction will be greater than or less than 1. For example: 1/5 is less than ½ and 1/10 is less than ½ so 1/5 + 1/10 will be less than 1. We then added fractions by finding the LCM for the denominator. 






A fraction like  34 says we have 3 out of the 4 parts the whole is divided into.


Example:

14 + 
14




Step 1. The bottom numbers (the denominators) are already the same. Go straight to step 2.
Step 2. Add the top numbers and put the answer over the same denominator:
14 + 14 = 1 + 14 = 24
Step 3. Simplify the fraction:
24 = 12


14+14
1/4


1/4
 


=24=
12
1/2






... and do you see how 24 is simpler as 12 ? (see Equivalent Fractions.)

Example: 

13 + 16
Step 1: The bottom numbers are different. See how the slices are different sizes?

13+16=?










We need to make them the same before we can continue, because we can't add them like that.
The number "6" is twice as big as "3", so to make the bottom numbers the same we can multiply the top and bottom of the first fraction by 2, like this:



× 2
right over arrow
13  =  26
right under arrow
× 2





Important: you multiply both top and bottom by the same amount,
to keep the value of the fraction the same
Now the fractions have the same bottom number ("6"), and our question looks like this:
26+16







The bottom numbers are now the same, so we can go to step 2.

Step 2: Add the top numbers and put them over the same denominator:

26 + 16 = 2 + 16 = 36




 Simplify the fraction:


36 = 12



In picture form the whole answer looks like this:


26+16



=36=12



Another example: 


We also discussed mixed numbers and improper fractions. An improper fraction can be made into a mixed number. When adding or subtracting mixed numbers, the whole number does not change when looking for equivalent fractions 



Success Criteria for today:
I can 
-estimate to help me find if two fractions will be more than or less than 1
-I can combine fractions using fraction strip
-I can combine fraction by looking for the LCM for the denominator 
-I can add fractions using a variety of methods 
-I can turn an improper fraction into a mixed number 

Success Criteria for today:
I can 
-estimate to help me find if two fractions will be more than or less than 1
-I can combine fractions using fraction strip
-I can combine fraction by looking for the LCM for the denominator 
-I can add fractions using a variety of methods 
-I can turn an improper fraction into a mixed number 


Then we had French.

After first recess and lunch we watch the JK-2 Christmas concert! They did a phenomenal job!!!!! Come watch tonight at 7pm! 






















Then we practiced for our own Christmas concert and had gym. 


Homework:

1.    Read Chapter 14 and 15
2.    UOI finish research and do 1 slide for your powtoon
3.    Math pg. 122 (1, 2a), 3, 4, 6) 126 (1,2 4, 5, 9, 10) 


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