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

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Dinosaur Books

Derek loves to collect books about dinosaurs. Derek has seven dinosaur books. Derek wants to have ten dinosaur books. Derek says he needs to collect two more dinosaur books. Is Derek correct? Show and tell how you know.

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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.

View all Kindergarten tasks

More Accessible Version

Derek loves to collect books about dinosaurs. Derek has two dinosaur books. Derek wants to have five dinosaur books. Derek says he needs to collect two more dinosaur books. Is Derek correct? Show and tell how you know.

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More Challenging Version

Derek loves to collect books about dinosaurs. Derek has seventeen dinosaur books. Derek wants to have twenty dinosaur books. Derek says he needs to collect two more dinosaur books. Is Derek correct? Show and tell how you know.

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Plan

Underlying Mathematical Concepts

  • Number sense to 10
  • Counting on/Addition
  • Counting back/Subtraction
  • Comparison

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Diagram/Key
  • Ten frame
  • Tally chart
  • Number line
  • Place value strip
  • Number chart

Formal Mathematical Language and Symbolic Notation

  • Model
  • Diagram/Key
  • Ten frame
  • Tally chart
  • Number line
  • Place value strip
  • Number chart
  • Total/Sum
  • Amount
  • Odd/Even
  • More than (>)/Greater than (>)/Less than (<)
  • Most/Least
  • More/Less
  • Equivalent/Equal to
  • Equation
  • Number sentence
  • Half

A student may independently select a printed number line, number chart, ten frame, 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 find the number that makes 10 when added to seven. Students also need to compare two numbers.

Printer-Friendly Planning Sheet
Printer-Friendly Exemplars Rubric

Possible Solutions

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

No, Derek is not correct.

More Accessible Solution

No, Derek is not correct.

More Challenging Solution

No, Derek is not correct.

Possible Connections

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

  • Derek needs to collect 1 more book to have 10.
  • 7 + 2 = 9, which is an odd number. 10 is an even number.
  • Use subtraction to support addition.
  • Derek has to collect less books than he already has.
  • Equations: 10 – 7 = 3 / 7 + ? = 10.
  • If Derek had 5 books to start he would need 5 more books to get to 10, that is half.
  • 7 books is more than 3 books.
  • 3 books is less than 7 books.
  • Solve more than one way to verify the answer.
  • Relate to a similar task and state a math link.

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