One Piece of One Part

10 min

Narrative

The purpose of this Warm-up is for students to describe the fraction of macaroni and cheese that is left in the pan. While students may notice and wonder many things about this image, the amount of macaroni and cheese in the pan is the important discussion point.

Launch

  • Groups of 2
  • Display the image.
  • “What do you notice? What do you wonder?”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Share and record responses.

Student Task

What do you notice? What do you wonder?

Photograph. Mac and cheese in pan with spatula.<span style="font-size:0.875rem"> Less than 1 half remains. </span>

Sample Response

Students may notice:

  • The pan isn’t full.
  • There is a spatula.
  • It looks like macaroni and cheese.

Students may wonder:

  • Who made the macaroni and cheese?
  • How much is left?
  • Who is going to eat that macaroni and cheese?
Activity Synthesis (Teacher Notes)
  • “The picture shows a pan of macaroni and cheese. What other food is baked in pans like this one?” (lasagna, casseroles, cakes)
  • “About how much macaroni and cheese is left in the pan?” (It’s less than 12\frac{1}{2} and more than 13\frac{1}{3}. It looks like it is about 25\frac{2}{5}.)
Standards
Building Toward
  • 5.NF.4.a·Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. <em>For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)</em>
  • 5.NF.B.4.a·Interpret the product <span class="math">\((a/b) \times q\)</span> as <span class="math">\(a\)</span> parts of a partition of <span class="math">\(q\)</span> into <span class="math">\(b\)</span> equal parts; equivalently, as the result of a sequence of operations <span class="math">\(a \times q \div b\)</span>. <span>For example, use a visual fraction model to show <span class="math">\((2/3) \times 4 = 8/3\)</span>, and create a story context for this equation. Do the same with <span class="math">\((2/3) \times (4/5) = 8/15\)</span>. (In general, <span class="math">\((a/b) \times (c/d) = ac/bd\)</span>.)</span>

20 min

15 min