Standards-based assessment and Instruction

## View Spanish Translations Sharing Muffins

Nine friends are going to equally share some muffins. Each muffin is the same size. Each friend gets one and one-third muffins. How many muffins did the nine friends equally share? Show all your mathematical thinking.

### Adding and Subtracting Fractions Unit

The Adding and Subtracting Fractions Unit involves using a variety of methods to join or separate fractional parts referring to the same whole. Methods may include replacing mixed numbers with equivalent fractions; using properties of operations and the relationship between addition and subtraction; and using visual models of fractions. Questions to answer may include:

• Why must we use the same whole when adding or subtracting fractional parts?
• How can a number line be used to represent adding or subtracting fractions
• How can benchmark fractions help to determine whether a sum or difference makes sense?

### Math Concepts and Skills Covered

The student solves problems by developing and using strategies for addition and subtraction. The student:

• Finds the sum of a multiple of 10 and a one-digit number (up to 99) in problem situations.
• Develops, applies and explains strategies used to add and subtract within 20, such as making 10 and decomposing a number leading to a 10.
• Creates problem situations when given a number sentence involving addition or subtraction of numbers within 20; solves the problems created.
• Represents word problems involving addition and subtraction of numbers up to 20.
• Applies properties of operations to add and subtract two or three numbers– if 4 + 3 = 7 is known, then 3 + 4 = 7 is also known.

This task requires students to solve addition and subtraction problems with mixed numbers involving like denominators.

### Underlying Mathematical Concepts

• Fraction notation
• Equivalent fractions
• Addition/Subtraction of mixed numbers with like denominators

### Possible Problem-Solving Strategies

• Model (manipulatives)
• Diagram/Key
• Area models
• Table
• Number line

### Formal Mathematical Language and Symbolic Notation

• Model
• Diagram/Key
• Table
• Area model
• Number line
• Mixed number
• Numerator/Denominator
• Whole
• Equivalent/Equal to
• Sum/Total
• Pattern
• Dozen
• Per1 1/3, 4/3 ...
• Greater than (>)/Less than (<)

### Possible Solutions

The nine friends shared 12 muffins equally.

### Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

• 12 muffins is a dozen.
• Half a muffin would be a bigger portion than 1/3, but you would need to buy more muffins to share.
• The patterns are friend +1, muffins +1 1/3.
• Show all the improper fractions.
• Solve more than one way to verify the answer.
• Continue the pattern for more friends.

Our teacher-friendly tasks are designed to support both the Common Core and Citywide instructional expectations. GO Math! alignments are also available.
Set up your FREE 30-day Trial today!

Explore our latest K-5 math material and begin using it in your classroom.
Set up your FREE 30-day Trial today!

## Here's What People Are Saying

Our school subscribes to the Exemplars Library. I find the formative tasks aligned to the Common Core are strong and can be easily embedded in any curriculum. Having a more accessible and more challenging version of each task provides teachers' support as they have the resources to problem solve across different levels of understanding in their classrooms … Students are enjoying the tasks and are demonstrating a deeper understanding of the underlying concepts of the standards as they apply formal math language, accurate representations and connections.

C. Hemley

Principal

PS 94
New York

Exemplars | 271 Poker Hill Road | Underhill, Vermont 05489 | ph: 800-450-4050 | fax: 802-899-4825 | infoREMOVETHISBEFORESENDING@exemplars.com