# Write a division problem involving groups in which the group size is unknown

Understand two fractions as equivalent if they are the same size, or the same point on a number line. How long was the rubber band at first? OA Represent and solve problems involving multiplication and division within Standards 3.

How many marbles will each friend receive? In each of these problem types, the numbers all represent a countable quantity. Instructional Implications Have the student explore and share efficient methods for solving multiplication and division problems.

Explain why the fractions are equivalent by using a visual fraction model, for example. Number of groups unknown Sue has 20 marbles.

She wants to share them equally among 4 friends. A red hat costs 3 times as much as the blue hat. Juanita picked 20 peaches. Equal Groups There are 3 bags with 6 plums in each bag.

You need 3 lengths of string, each 6 inches long. Additionally, the student is unable to solve the problems. Help the student devise a strategy for tabulating the number of counts made when counting up or skip counting when solving equal groups group size unknown problems.

Calculate accurately and efficiently, and use clear and concise notation to record work. Listen to or read the arguments of others, decide whether they make sense, ask useful questions to clarify or improve the arguments, and build on those arguments.

Contextualize quantities and operations by using images or stories. How much string will you need altogether? Identify important quantities in a contextual situation, use mathematical models to show the relationships of those quantities, analyze the relationships, and draw conclusions.

Draws sets of six but stops before or after reaching seven sets. The student may also be unable to represent the problem with an appropriate multiplication or division equation.

For example, determine the unknown number - product, factor, quotient, dividend, or divisor - that makes the equation true in each of the equations 8 x? In another type of problem, the Multiplicative Comparison, this is not the case. Guide the student to write both a multiplication equation and a division equation to model the strategy used e.

Then model how to count group size or row or column size to determine the answer. How many plums are there in all?

Whole unknown Sue has 4 bags of marbles. They will solve problems that involve comparing fractions by using visual fraction models and strategies based on noticing equal numerators or denominators. Express the area of each part as a unit fraction of the whole.

Interpret symbols as having meaning, not just as directions to carry out a procedure. A square with side length one unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.

They will measure the area of a shape by finding the total number of same-size units of area required to cover the shape without gaps or overlaps, a square with sides of unit length being the standard unit for measuring area.

See complicated things as single objects or as being composed of several objects. Go back to the problem to make sure you have answered the question being asked, and that your answer makes sense.Use multiplication and division within to solve word problems in situations involving equal groups, arrays, and measurement quantities.

For example, use drawings and equations with a symbol for the unknown number to represent the problem. Students are asked to model an equal groups and an array problem in which the group size is unknown with multiplication or division equations and then solve each problem.

Mathematics Glossary» Table 2 Print this page. Common multiplication and division situations. 1. Unknown Product: Group Size Unknown (“How many in each group?” Division) Number of Groups Unknown (“How many groups?” Division) 3 x 6 =?

3 x? = 18, and 18 ÷ 3 =? Division as making groups. This is a complete lesson with teaching and exercises about the division concept as making groups of certain size (a.k.a. measurement division), meant for third fresh-air-purifiers.comts make groups of certain size using the visuals, and write the division sentence.

Jan 26,  · What are these: Array Multiplication, Array Division Repeated- Groups Multiplication Repeated- Groups Division with an unknown group size Repeated-Groups Division with an Unknown Multiplier (number of groups) Thank you ⌂Home Type of word problem?Status: Resolved.

The first sample problem used in the game is the same problem that is featured in Modeling Fraction Division with Equal Groups, Group Size Unknown (see "Related Resources"), an animated video about this sort of division.

The activity suggests having students watch this video before playing the game.

Write a division problem involving groups in which the group size is unknown
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