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Problem Solving for the 21st Century: Built for the NY NextGen Standards

Celery Sticks With Peanut Butter

Jane is making twelve large celery sticks with peanut butter on them for her friends. There are just enough large celery sticks for each friend to have one and one-half celery sticks with peanut butter. How many friends does Jane make large celery sticks with peanut butter for? Show all your mathematical thinking.

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instructional
Domain:
Standard:
Mathematical Practices:
  • MP.1
  • MP.1

    Make sense of problems and persevere in solving them.

  • MP.3
  • MP.3

    Construct viable arguments and critique the reasoning of others.

  • MP.4
  • MP.4

    Model with mathematics.

  • MP.5
  • MP.5

    Use appropriate tools strategically.

  • MP.6
  • MP.6

    Attend to precision.

  • MP.7
  • MP.7

    Look for and make use of structure.

View all Grade 4 tasks

More Accessible Version

Jane is making nine large celery sticks with peanut butter on them for her friends. There are just enough large celery sticks for each friend to have one and one-half celery sticks with peanut butter. How many friends does Jane make large celery sticks with peanut butter for? Show all your mathematical thinking.

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More Challenging Version

Jane is making fifteen large celery sticks with peanut butter on them for her friends. There are just enough large celery sticks for each friend to have two and one-half celery sticks with peanut butter. How many friends does Jane make large celery sticks with peanut butter for? Show all your mathematical thinking.

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Plan

Underlying Mathematical Concepts

  • Equivalent fractions
  • Number sense to 12
  • Fraction notation
  • Adding and subtracting with mixed numbers with like denominators

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Diagram/Key (area model)
  • Table
  • Number line

Formal Mathematical Language and Symbolic Representation

  • Model
  • Diagram/Key
  • Table
  • Number line
  • Mixed number
  • 1 1/2, 4 1/2 ...
  • Whole
  • Equal
  • Dozen
  • Total/Sum
  • Numerator/Denominator
  • Greater than (>)/Less than (<)
  • 0.5
  • Odd/Even
  • Pattern
  • Equivalent/Equal to

A student may independently select a printed number line, number chart, ten frames, graph paper, etc. as they work on a task.

Download printable resources for student representations.

Suggested Materials

Engagement Image:

Teachers may project the image below to launch this task for their students, define nouns, promote discussion, access prior knowledge, and inspire engagement and problem solving.

Click image to enlarge

Task-Specific Evidence

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

Printer-Friendly Planning Sheet
Printer-Friendly Exemplars Rubric

Possible Solutions

  • Task Solution (active tab)
  • More Accessible Solution
  • More Challenging Solution
Task Solution

Jane can make celery sticks with peanut butter for 8 friends.

More Accessible Solution

Jane can make celery sticks with peanut butter for 6 friends.

More Challenging Solution

Jane can make celery sticks with peanut butter for 6 friends.

Possible Connections

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

  • 12 celery sticks is a dozen.
  • Patterns: Friends +1, Celery sticks +1 `sf (1/2)`.
  • Recreate the task for more friends.
  • 4 friends need a `sf (1/2)` dozen celery sticks.
  • There are 4 more celery sticks than friends.
  • `sf (1/2)` of a celery stick is 0.5 of a whole celery stick.
  • Relate to a similar task and state a math link.
  • Solve more than one way to verify answer.
  • Whole numbers in the pattern are odd/even.
  • `sf (9/2)` = 4 `sf (1/2)`. They are equivalent fractions.

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