Skip to main content
Home
Login

Free Trial!

Explore the Exemplars Library and download rubrics, student anchor papers, and rich performance tasks to try in your classroom.

Current Product:

Problem Solving for the 21st Century: Built for the Common Core

Packages of Crayons

There are seventeen students in a class. Twice a year each student gets a new box of crayons. Boxes of crayons are packaged in groups of twelve. How many packages of twelve crayon boxes does the class need for a year? Show all your mathematical thinking.

Printer-Friendly Overhead ○
Printer-Friendly Overhead ○
instructional
Domain:
Aligned 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

There are seventeen students in a class. Every year each student gets a new box of crayons. Boxes of crayons are packaged in groups of twelve. How many packages of twelve crayon boxes does the class need for a year? Show all your mathematical thinking.

Printer-Friendly Overhead △
Printer-Friendly Overhead △

More Challenging Version

There are seventeen students in a class. Twice a year each student gets a new box of crayons. Boxes of crayons are packaged in groups of twelve. How many packages of twelve crayon boxes does the class need for a year? Packages of twelve crayon boxes sell for $8.98. How much do the crayons cost for the year? Show all your mathematical thinking.

Printer-Friendly Overhead ▢
Printer-Friendly Overhead ▢

Plan

Underlying Mathematical Concepts

  • Multi-step word problems with whole numbers
  • Number sense to 36

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Diagram/Key
  • Table
  • Chart
  • Array
  • Graph
  • Number line
  • Place value strips

Formal Mathematical Language and Symbolic Notation

  • Model
  • Diagram/Key
  • Table
  • Chart
  • Array
  • Number line
  • Place value strips
  • Total/Sum
  • Addition
  • Product
  • Multiplication
  • Multiples
  • Unknown quantity
  • Variable
  • Whole number
  • Dozen
  • Equivalent/Equal to
  • Pattern
  • Rule: 12 · p = c
  • Running total
  • Input/Output
  • Area model for multiplication

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 use multiplication and division to solve a multi-step problem in which any remainder must be interpreted. Students will also use reasoning and estimation to analyze the reasonableness of their solutions.

Printer-Friendly Planning Sheet
Printer-Friendly Exemplars Rubric

Possible Solutions

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

The class needs 3 packages of crayons.

More Accessible Solution

The class needs 2 packages of crayons.

More Challenging Solution

The class needs 3 packages of crayons. Crayons cost $26.94 for the year.

Possible Connections

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

  • 12 boxes is a dozen.
  • 2 extra boxes of crayons is the remainder.
  • Patterns: Boxes of crayons +12, Packages +1
  • There are enough remaining boxes of crayons for 1 new student to join the class.
  • The table is continued for more packages of crayons.
  • Relate to a similar task and state a math link.
  • Solve more than one way to verify the answer.
  • Rule: 12 · p = c
  • Input/output are graphed.

Start Your FREE Trial Today

Simply sign up and start exploring Exemplars rich performance tasks, launch images, and lesson planning resources for 30 days!

Exemplars will occasionally send you emails about improving performance in the classroom with information about our products.
Exemplars will occasionally send you emails about improving performance in the classroom with information about our products.

Need help? Have a question?

 

Contact us or Call (800) 450-4050

Exemplars, 271 Poker Hill Road
Underhill, VT 05489
http://www.exemplars.com/

 

From the Exemplars Blog

  • A Common Core “Must Read” Paper
  • Using Exemplars for School Improvement
  • Exemplars New Math Samples, K-8
  • Using Anchor Papers to Help Teachers and Students Understand the Common Core

Follow us:

FacebookTwitterYouTube!