Session 11
Activity 1: Adding and subtracting fractions, v2.
Represent the following operations using the applet. Using rectangles of the same size, can you obtain the same length in the second grey rectangle? If you can't find the exact result, write down the closest solution. 1) 2) 3) 4)
Activity 2: Adding and subtracting fractions on the line, v2.
Represent the following operations using the applet. Using the button "Estimación", try to get as close as possible to the result. 1) 2) 3) 4) 5) 6)
Adding
Subtracting
Adding and subtracting fractions with different denominators
When we add or subtract fractions, the pieces that we use must have the same size!
To find pieces of the same size, we can use equivalent fractions.
We have to find a common denominator.
Example:
1) Can you find an equivalent fraction to with denominator 9?
2) Solve the operation with the new fraction.
3) Using one of the applets, represent both operations: do you get the same result?
Finding the common denominator
To find a common denominator, we can compute the least common multiple of the two denominators, and find equivalent fractions with that denominator.
Example:
1) What is the least common multiple of the denominators?
2) Can you find equivalent fractions with that denominator?
3) Add the new fractions.
4) Using one of the applets, represent both operations: do you get the same result?
Activity 3: Solve the following operations
a) b) c) d) e) f) Use the applets to check your results. Tip: If you don't have enough pieces, draw it in your notebook and your BigBlueButton blackboard.
Activity 4: Adding mixed numbers
How can we operate these mixed numbers? Make some drawings and discuss it with your group. 1) 2) 3)