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A typical misconception among students is that, as soon as dividing, you constantly put the larger number first. When this ide “sticks”, the is extremely challenging to undo later on when students learn that girlfriend can, in fact, division a smaller number by a larger one. Some examples that young students can understand are having actually 2 pounds of dog food that has to be split amongst the 6 dog in the pet shop, or 4 liquid bars that need to be separation among 10 children. Working on same sharing cases like this helps students construct the number feeling to at some point handle operations with fractions.

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One method to prevent the misconception of placing the bigger number very first is to emphasis instead ~ above the parts of an equal sharing problem. These troubles involve three countable quantities: the variety of groups, the size of each group, and also the whole. Have students model and solve the three troubles below:

1) Eva has actually 3 plates. She puts 5 cookie on each plate. How plenty of cookies walk Eva have?

 2) Eva has actually 15 cookies. She desires to put 5 cookie on every plate. How numerous plates will Eva need?

 3) Eva has 15 cookies. She desires to placed the same number of cookies top top 3 plates. How numerous cookies deserve to Eva put on every plate?

Have the students compare the three problems, noting what is different about each situation. Emphasis on what the numbers represent, top top which amounts are known and also which space unknown. Build the principle that an unknown entirety calls because that multiplication, while an unknown variety of groups or size of group calls for division of the totality by one of two people the size of the group or the number of groups. Emphasize that it is the entirety that is being divided – which might usually it is in the bigger number but does not have to be.

Next have the students occupational the complying with problems:

 Tell what is unknown in each problem. Then settle the problem.

1) Amy has 16 quarters. If each video game device takes 2 quarters, how many games have the right to she play?

 __________________ is unknown. She can play ___________ games.

2) Sue has actually 4 bags of marbles. There are 5 marbles in every bag. How many marbles does Sue have all together?

 ____________ is unknown. Sue has _____________ marbles all together.

3) Sue’s class has 21 students. There space 7 students at each center. How numerous centers space there?

 ____________________ is unknown. There space _____________ centers.

4) Sue has 24 candies. She desires to share lock equally among 4 friends. How countless candies will certainly each friend receive?

 _____________ is unknown. Each friend will obtain __________ candies.

5) There space 15 fish in the pet keep that are separated equally into 3 fish tanks. How plenty of fish are in every tank?

 _______________ is unknown. There room ____________ fish in each tank.

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Finally, have actually students write and also solve their own problems. Ask the they create one problem of every type.