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The purpose of this Warm-up is to elicit the idea that chickens are usually kept in a fenced area, which will be useful when students solve a problem about how many chickens can be kept in a fenced area in a later activity. While students may notice and wonder many things about this image, the ideas that chickens are kept in a fenced area and how much space they need are the important discussion points.
What do you notice? What do you wonder?
The purpose of this activity is for students to estimate a reasonable answer based on the experience they have had with area. The activity also familiarizes students with chicken coops which will be helpful in the next activity when they plan an area in which to keep chickens. When students make an estimate or range of reasonable answers with incomplete information, they model with mathematics (MP4).
How much area does the chicken coop take up in the yard?
Record an estimate that is:
| too low | reasonable | too high |
|---|---|---|
The purpose of this activity is for students to solve a problem that involves area and perimeter of rectangles. Students use given information to decide how many chickens can be kept in an area with given constraints. The information is given as a combination of area measurements and measurements of length.
In this activity, students have opportunities to make decisions about information that isn’t given in the task. For instance, when designing the fenced area for the chickens, students can place the chicken coop in the fenced area or have the chicken coop outside, but it must be connected to the fenced area. Students can also choose to include the maximum number of chickens or reduce the number slightly to make sure they have enough space. When students make assumptions about information not given in a situation, model the situation with a representation such as a drawing or equation, and report on their conclusions and reasoning, they model with mathematics (MP4).
Maya wants to get some chickens and keep them in a rectangular area in her yard. Use the information below to help Maya decide how many chickens to get.
Create a poster to show your thinking. Organize your work so it can be followed by others.
“Today you used what you know about area and perimeter to decide how many chickens could fit in a fenced space.”
“How did you decide how to use the information that you were given to solve the problem?” (I used the lengths of the rolls of fencing to make the largest area for the chickens. I subtracted the area of the chicken coop from the area of the yard because it takes up some of the fenced space. I used how much space each chicken needed to decide how many chickens would fit in the fenced area.)
Consider having students respond to the previous question as a journal prompt.