Algebra 1 Common Core Student Edition, Grade 8-9

0 5 ft xftxft

On Yo u r Ow n

Three members of the community garden design the plots shown below. Each plan shows a

flower bed inside a rectangular border.

D eShaw n's Plan Christy's Plan Nick's Plan

To solve th ese

problem s you

will pull t o g e t h e r

many concepts

and skills

th a t you have

studied about

polynom ials and

factoring.

Co m p l et i n g t h e Per f o r m an ce Task

Look back at your results from the Apply What You’ve Learned sections in Lessons 8-1, 8-3,

and 8-6. Use the work you did to complete the following.

1. Solve the problem in the Task Description on page 485 by drawing and labeling a sketch
   of the new flower bed and border. Include expressions for the length and width of the
   new plot. Each expression must be a linear polynomial with integer coefficients. Show
   all your work and explain each step of your solution.
   0 2. Reflect Choose one of the Mathematical Practices below and explain how you applied
   it in your work on the Performance Task.
   MP 2: Reason abstractly and quantitatively.
   MP 3: Construct viable arguments and critique the reasoning of others.
   MP 6: Attend to precision.
   MP 7: Look for and make use of structure.

The three members decide to combine their plots to make one large rectangular plot. They

plan to place the three flower beds together to make one 2x ft-by-2x ft square flower bed,

centered inside a rectangular border. The area of the new plot will equal the sum of the areas of

the three original plots.

Draw and label a sketch of the new flower bed and border. Include expressions for the

length and width of the new plot. Each expression must be a linear polynomial with integer

coefficients.

5 3 4 Chapter 8 Pu l l It All Together