Assessment Plan

Purpose 

Students will learn how to develop, write, and graph linear equations

Grade Level:            9th-10th grade
Unit of Study:    Algebra - Linear Equations

Learning Outcomes:

• Given a point and a slope, the student will develop the equation of the line 80 percent of the time.
• Given the equations of two lines in slope-intercept form, the student will determine if the two lines are parallel, perpendicular, or intersecting with 80 percent accuracy.
• Given the equation of a specific line, the student will draw a graph of the line on paper with 80 percent accuracy.
• Given a word problem, the student will be able to form the corresponding linear equation 80 percent of the time.

Test Items Supporting the Learning Outcomes

Completion

Using the given point and slope, write the equation of the line on the blank provided.

1.    Point: (2,3)    Slope: -3                _______________ 

Multiple Choice

Compare the two linear equations listed for each problem below. Then circle the letter that best describes the relationship of the two lines. 
NOTE: Only select “intersecting” if two lines are neither parallel nor perpendicular.

3.    y = 4x + 5     y = 4x - 10
a. Parallel   b. Perpendicular   c. Intersecting

4.    y = (1/2)x + 3     y = 2x - 2
a. Parallel   b. Perpendicular   c. Intersecting

5.   y = x      y = 2x + 4
a. Parallel   b. Perpendicular    c. Intersecting

6.    y = (3/4)x - 1      y = 3x - 2
a. Parallel    b. Perpendicular   c. Intersecting 

Multiple Choice

Read the word problem below. Write the letter that corresponds to the correct linear equation on the line provided.

2.   Mary's plant is currently 5 inches tall. It grows 0.5 inch per week. What is the linear equation that represents the height (h) of the plant after w weeks?
 
      a.    h = 5w + 1/2
 
      b.    w = (1/2)h + 5

      c.    h = (1/2)w + 5

      d.    w = 5h + 1/2

Essay Item

­­­­­­Read the scenario below and follow the direction provided.

Kyle needs to buy wrapping paper for the upcoming holiday season. He finds the style of paper he wants at a local store. The retail price of the paper is $1.00 per yard. Thankfully, he has a coupon that will take 25% off the price. Write the equation of the line that represents the amount he will pay using this coupon in terms of yards of paper. Using the set of axes provided, graph the line and label the axes. Then in the space below, use complete sentences to answer the following questions in detail. What variables did you use for the equation and what do each represent? What is your step-by-step process for graphing the equation? Your score for this item will depend on the accuracy of your equation and graph and the organization and detail of your answers to the questions.