MM212 Unit 2 Discussion Unit 2 Discussion
Putting It Together and Taking It Apart
Post 1: Initial Thread
You want to join the “farm-to-table” crowd and build your own raised garden bed! Polynomials could be helpful in finding the ideal dimensions for this garden area by using a variable x for any unknown measurement. Suppose that you want to include a walkway around the garden bed but are unsure of the size you want. You can use x to represent the width of the walkway to add to the dimensions of the garden bed. The final area will be the total amount of space you would need to build your ideal garden area, including the walkway. Your mission is to choose one of the following shapes and find the area of it and its walkway.
A. First, select the shape of your garden bed from the following shapes. Here are the formulas for their areas:
B. Model the width and length of your garden bed and walkway as a binomial. You can represent the dimensions as either (___ + x) or (x + ___) Make sure to choose either feet or meters as the units.
C. Include a picture of your garden bed. You may use the software of your choice for the diagram (e.g., creately.com, MS Word or PowerPoint®) or simply hand draw and share the picture. Note: there is a video in the Unit 2 LiveBinder that will show you how to embed a picture in your post.
D. Multiply the dimensions together according to the area formula. Make sure to apply the correct units to your answer. Show your work and write your trinomial in standard form.
Post 2: Reply to a Classmate
Choose one of your classmate’s polynomial areas (a trinomial in standard form.) Your job is now to double check their work by factoring their trinomial back into the original two binomials.
- Show each step of the factorization.
- Show all factoring pairs of numbers you considered before selecting the “magic pair.” Did you get the original dimensions of their garden bed and walkway? Explain.
MM212 Unit 2 Discussion Unit 2 Discussion Answer
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