How many ____ are in _______?
How many groups are in a whole
How many divisors are in a dividend
Solve:
2/(1/2)
4
Solve:
(2/3)/(1/3)
2
True or False?
Dividing always makes number smaller
False, Dividing by a number less than 1 enlarges the quotient.
Name one model that can show fraction division
Tape diagram, number line, area model, fraction strips.
In the problem (3/4)/(1/4), What is being counted?
its counting how many 1/4's are inside 3/4.
Solve:
3/(1/3)
9
Solve:
(3/4)/(1/4)
3
Dividing by a number greater than makes the answer______?
Smaller
Why are the equal size pieces important in a model?
Equal parts make the model accurate so you can count groups correctly.
Which number tells the size of of each group, the dividend or the divisor?
The divisor tells me the size of the groups
Solve:
4/(1/4)
16
Solve:
(4/5)/(1/5)
4
Dividing by a number less than 1 makes the answer __________?
Larger
What does one shaded section represent in a area model?
One shaded section represents a fraction of the whole based on the partition (ex; 1 out of 4= 1/4)
Explain "how many groups" using words, not numbers.
I'm finding how many groups of the second number fit inside the first number.
Without solving, decide; is 5/(1/5) greater or less than 5?
Greater than 5
Why are problems easier with common denominator?
Because if the denominators match, you can count how many pieces of the divisor fit in the dividend
Give an example where division makes a number larger.
4/(1/2)
How can a model help you catch mistakes?
Model helps you see if your answer is reasonable (ex; if you divide by 1/2, the answer should get bigger).
Why is division different from sharing equally when fractions are involved?
Because with fractions we're often asking how many fractional groups fit, not just splitting into whole number groups.
Draw or describe a model for 3/(1/2)
6
You are stuck stuck on another planet. You can only get one meal as a class together that you could never get tired off, for the rest of your life. What would that be?
;)
Explain why the size of the divisor changes the quotient.
Because division asks "how many of the divisor fit in the dividend". If the divisor is smaller, more groups fit so the answer gets larger. If the divisor is big, fewer groups fit so the answer is smaller.
Which mode would you choose for 4/(1/2), and why?
A tape diagram or fraction strips works best because you can show how many halves fit into 4 wholes.