Defining Equivalent Ratios

5 min

Narrative

This Warm-up familiarizes students with a new context that they will encounter later in the lesson. It allows them to make sense of a situation and the mathematics that might be involved before solving problems. While students may notice and wonder many things about the image, they should recognize that the ingredients are likely parts of a recipe and the amounts are specified by the recipe.

Launch

Arrange students in groups of 2. Display the image for all to see. Give students 1 minute of quiet think time, and ask them to be prepared to share at least one thing that they notice and one thing that they wonder. Give students another minute to discuss their observations and questions.

Student Task

What do you notice? What do you wonder?

Sample Response

Students may notice:

  • These look like cooking ingredients.
  • There are 5 mushrooms and 2 types of vegetables.
  • There are some dry ingredients and some wet ones.
  • One of the items looks like a root vegetable.
  • There is a bowl of water and a small amount of oil.

Students may wonder:

  • What dish or dishes are the ingredients for?
  • What is the white vegetable on the left? How will it be prepared?
  • What are the ingredients in the bowls?

Synthesis

Ask students to share the things they noticed and wondered. Record and display their responses without editing or commentary. If possible, record the relevant reasoning on or near the image. Next, ask students, “Is there anything on this list that you are wondering about now?” Encourage students to observe what is on display and respectfully ask for clarification, point out contradicting information, or voice any disagreement.

Standards
Building Toward
  • 6.RP.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <em>For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."</em>
  • 6.RP.A.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <span>For example, “The ratio of wings to beaks in the bird house at the zoo was <span class="math">\(2:1\)</span>, because for every <span class="math">\(2\)</span> wings there was <span class="math">\(1\)</span> beak.” “For every vote candidate A received, candidate C received nearly three votes.” </span>

15 min

15 min