How many 3rds are in 34

The visual model for each problem can be connected to the algorithm for fraction division, and the carefully chosen sequence of problems shows the evolution of the algorithm note that the types of pictures shown require different kinds of interpretations to see the connection to the algorithm. It also provides opportunities for the students to talk about the specific phenomena that fraction division results in a larger quotient when you divide by a number less than 1.

This task was submitted by Victoria Peacock to the fifth Illustrative Mathematics task writing contest. You may want to do a couple of examples like this with whole numbers to familiarize students with thinking about division as how many of a number are in another number. Each whole yields a two-thirds and one half of another two-thirds, therefore 3 sets of two-thirds can be made. On the left we can see where those 2 twelfths were moved to, and on the right we have colored them normally so we can focus on how many fourths there are.

One complete set of five-twelfths will fit into a one-half but there is still a one-twelfth left over which is one of the five needed to make another set of five-twelfths. Alignments to Content Standards: 6. Student View. Task Solve each problem using pictures and using a number sentence involving division.

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What is 3 times 34? Study Guides. A lot of recipe books, however, cater for cooks on both sides of the Atlantic and so metric and imperial measurements are also given. This takes away the uncertainty of how much of any particular ingredient is supposed to be used. The key, though, is to choose which measurement system that you are going to use and to stick with it.

Obviously, you cannot assume that because there are so many ounces or grams in a cup of a particular ingredient that there is the same amount when it is a different ingredient that is being used. This is because different things weigh differently. For example, you would get a different weight in a cup of flour than you would in a cup of chopped nuts.