Elijah Rolls a 6 on a Die He Rolls Again and Gets a 2 This Situation

How Many Batches/What Fraction of a Batch?

Alignments to Content Standards: 6.NS.A

Task

A batch of cookies requires 2 cups of flour. How many cups are needed for 3 batches? Hither are a diagram and a multiplication equation that represent this situation:

$$iii \times ii = ?$$

Draw a diagram and write a multiplication equation for each state of affairs.

1. A batch of cupcakes requires $1 \frac12$ cups of flour. How many cups are needed for 3 batches?
2. A batch of breadstuff requires 3 cups of flour. How many cups are needed for $\frac12$ of a batch?Â
3. A batch of rolls requires $2\frac12$ cups of flour. How many cups are needed for $1\frac12$ batches?

A batch of cookies requires ii cups of flour. How many batches tin you make with 8 cups of flour? Here are a diagram and a division equation that stand for this state of affairs:

$$eight \div two = ?$$

Draw a diagram and write a division equation for each situation.

4. A batch of cupcakes requires $1 \frac12$ cups of flour. How many batches tin can you make with 9 cups of flour?Â
5. A batch of bread requires 3 cups of flour. How many batches can you brand with 2 cups of flour?Â
6. A batch of rolls requires $2\frac12$ cups of flour. How many batches tin can you make with $iv\frac12$ cups of flour?

IM Commentary

The purpose of this task is to aid students extend their agreement of multiplication and division of whole numbers to multiplication and partition of fractions. In grade 5, students

• multiply two fractions together and learn that a fraction times a number can be interpreted as that fraction of the number,
• split two whole numbers with a non-whole number caliber, and
• divide a whole number past a unit fraction and a unit of measurement fraction by a whole number.Â

Notably, all of the division students do in class 5 can be supported by an agreement of a whole number of groups. The big shift in course six is that students tackle division contexts that involve a fractional number of groups.

The task does not ask students to discover the product or quotient since the task is more than nigh learning how to represent the situation, just teachers might choose to inquire students to find or estimate the answers, if desired.

This job helps students see how to represent How Many Groups/What Fraction of a Group? contexts with division equations. It'southward designed to be used along with the job How Much in One Batch? which covers the How Much in a Group? situation.

To offload some of the tedium of drawing diagrams then that students tin can focus on thinking most sizes and numbers of batches, teachers might offer some printed templates for students to work on.

Solution

(Note: In all the diagrammed solutions, a solid line shows a division in cups and a dashed line shows a sectionalisation in batches.)

1. A batch of cupcakes requires $1 \frac12$ cups of flour. How many cups needed for 3 batches?

    $$iii \times one\frac12 = ?$$

2. A batch of staff of life requires 3 cups of flour. How many cups needed for $\frac12$ a batch?Â

    $$\frac12 \times 3 = ?$$

3. A batch of rolls requires $2\frac12$ cups of flour. How many cups needed for $i\frac12$ batches? (In this diagram, the dotted lines are used to show the partition of one of the cups into 4 parts.)

    $$ane\frac12 \times 2\frac12 = ?$$

Â

4. A batch of cupcakes requires $1 \frac12$ cups of flour. How many batches can you make with 9 cups of flour?
   $$9 \div 1\frac12 = ?$$
5. A batch of breadstuff requires 3 cups of flour. How many batches can yous make with 2 cups of flour?Â
   $$2\div 3 = ?$$
6. A batch of rolls requires $2\frac12$ cups of flour. How many batches can you brand with $4\frac12$ cups of flour?
   $$4 \frac12 \div two \frac12 = ?$$

How Many Batches/What Fraction of a Batch?

A batch of cookies requires 2 cups of flour. How many cups are needed for 3 batches? Here are a diagram and a multiplication equation that correspond this situation:

$$3 \times 2 = ?$$

Describe a diagram and write a multiplication equation for each situation.

1. A batch of cupcakes requires $one \frac12$ cups of flour. How many cups are needed for 3 batches?
2. A batch of staff of life requires 3 cups of flour. How many cups are needed for $\frac12$ of a batch?Â
3. A batch of rolls requires $2\frac12$ cups of flour. How many cups are needed for $i\frac12$ batches?

A batch of cookies requires 2 cups of flour. How many batches can you make with 8 cups of flour? Here are a diagram and a division equation that stand for this state of affairs:

$$viii \div 2 = ?$$

Draw a diagram and write a partition equation for each situation.

4. A batch of cupcakes requires $ane \frac12$ cups of flour. How many batches can you make with 9 cups of flour?Â
5. A batch of bread requires 3 cups of flour. How many batches can you make with 2 cups of flour?Â
6. A batch of rolls requires $ii\frac12$ cups of flour. How many batches tin can yous make with $4\frac12$ cups of flour?

murraydrinto.blogspot.com

Source: https://tasks.illustrativemathematics.org/content-standards/tasks/2169

Share this post