Monday, March 4, 2013

Assessment Plan



Purpose and Learning Outcomes
Purpose

The purpose of this assessment plan is to confirm the knowledge of the symbols equal to, greater than, and less than.  The assessment will also identify the skill of the student to be able to perform application of using the correct signs.  The assessment is meant to confirm the learning of the skills to understand greater than, less than, and equal to symbols and meaning.  

Learning Outcomes

  • Given possible symbols, the student will correctly identify the symbol that will make the statement true.
  • Given word problems, the student will translate this word problem into a statement using symbols correctly.
  • Given no examples, the student will write the correct symbols to make the statement true.
  • Given possible answers, the student will decide what answer best fits the statement accurately.
  • Given only the knowledge of the student, the student will generate unique statements without assistance incorporating multiple signs.


Assessment Context

The assessment will contain 10 questions of each type in various forms from the five learning objectives.  Below is a sample covering all objectives. 

1)      Using the data given, select the most appropriate sign that would make the statement true.
40 > 15 < 25 ___ 40
a)     
b)     
c)     
d)    

2)      Seth started with five pencils but lost some over time.  How many pencils does he have?
a)      Pencils < 5
b)      Pencils ≥ 5
c)      Pencils ≤ 5
d)     Pencils > 5


3)      Samuel has a 12 pack of soda and gave some to his classmates.  Fill in the appropriate symbol.
Soda __12

4)      Fill in the symbols to make the statement true.
15 __ 12 __ 17 __ 19

5)      Fill out a number that would make the statement correct.
__ < __ < 19 > __

6)      Fill in the statement below to make it true based off the following information.
Candy has four skittles and Kayla has 10 skittles but they may have given some to Coleman.  Between the two, how many do they have left?
Skittles            __   __

7)      Translate and solve.  Use the symbols you have learned in this chapter.  Marc purchased 10 burritos and gave some to Andrew.  Marc has how many burritos left?    

8)      Translate.  Use the symbols you have learned in this chapter.  Fifteen is less than twenty is greater than seventeen.

9)      Create your own statement.  Use both < and > with a run of three or more.
______    ___    ______   ___   ______   ___   ______   (Example)

10)  Write a hypothetical situation where you can apply the concepts of greater than, less than, and equal to.  Write the word problem and translate this.  Your answer must be unique.

Holistic Rubric


Not at All
1
Limited
2
Good
3
Very Good
4
Excellent
5
Total
Identify
The student does not identify the correct symbols.
The student understands little of the problems on identifying the correct symbols.
The student understands some of the problems on identifying the correct symbols.
The student understands most of the problems on identifying the correct symbols.
The student clearly understands how to identify the appropriate symbols with high accuracy.

Translation
The student is unable to translate into symbols.
The student can translate little problems into symbols.
The student can translate some problems into symbols.
The student can translate most problems into symbols.
The student can translate all problems into symbols.

Application
The student is unable to apply the concepts of less than, greater than, and equal to.
The student is able to do little application of the concepts of less than, greater than, and equal to.
The student is able to do some of the application of the concepts of less than, greater than, and equal to.
The student is able to do most of the application of the concepts of less than, greater than, and equal to.
The student is able to do all of the application of the concepts of less than, greater than, and equal to.

Decision Making
The student is unable to decide which answer symbol creates a true statement.
The student shows little skill in being able to decide which answer symbol creates a true statement.
The student is able to somewhat decide which answer symbol creates a true statement.
The student is able to mostly decide which answer symbol creates a true statement.
The student is able to decide which answer symbol creates a true statement with complete accuracy.

Generation
The student is unable to generate their own unique statements.
The student has little ability to generate their own unique statements.
The student has some ability to generate their own statements.
The student shows the ability to generate their own statements in most situations.
The student shows the ability to generate their own statements in all situations.

Total







Grading

The student will have successfully mastered the assessment showing their skill and knowledge of the topic based off the following scale.  Passing is a letter grade C or better:

Letter Grade
Range
A
23-25 points
B
20-22 points
C
18-19 points
D
16-17 points
F
15 and under points

Testing Constraints

The assessment itself will contain 50 questions and be divided into the appropriate sections to best evaluate the student performance in each section.  Some sections will require more time than others.  The assessment will be split into three days with the first two objectives on day 1, the next two objectives in day 2, and the last objective in day 3 which is in order of difficulty.  Students will only have a pencil and the exam.  No calculators or outside material can be present including cell phones.  Any remaining time in class after the assessment will be used to review the material for the current assessment or answer any questions the students have in regards to the material.

Monday, February 11, 2013

Testing Rationale

In order to best test the objectives I have set forth in my initial posting, I have created three test questions and an essay question related to high school mathematics.  In learning objective number one, the goal is for the student is to be able to solve multistage problems.  In the first test question, the student has to use multiple steps to solve for the unknown variable.  First, the student will use remove the parenthesis, next move all variables to one side doing the math, and lastly solve for x.  I used a problem that the student has to work through because this is the best way to show knowledge by showing the work.  Also, if the student gets the answer incorrect, I can see where the student is making the mistake if the student is showing their work.  
 

The second outcome is specific to mean and standard deviation.  In order to test for these, I have the students demonstrating knowledge by showing their work and working out a problem.  I supply the numbers and students must know what to do with those numbers to get the desired outcome.  This also relates to the first objective of being able to solve multi-step problems.  If a student answers the question wrong, then I will be able to see where the student made the mistake if work is shown.

The third outcome relates to using Algebra to solve rate, work, and percent problems.  In order to demonstrate knowledge, I give the student's a word problem and the student has to set up the equation and work out the problem.  This makes the student think critically about conversions and how they relate to one another.  By working through the problem, I can see where students need help with their work or where they excel in understanding.



The essay question makes the student first define a word then think of real life application.  The question then goes further to relate a subject to their own life.  The student will consider their life and how what he or she is learning currently will help them in their future.  Hopefully, students will understand the importance of the subject and how it relates to them making learning math more important. 










Monday, February 4, 2013

Learning Outcomes


Unit of Study:  Mathematics
Grade: High School 9th









Measurable learning outcomes in Mathematics:

1) Students will be able to solve multistep Algebraic problems

2) Students will determine the mean and standard deviation of a normally distributed random variable.

3) Students will apply  Algebraic techniques to solve rate problems, work problems, and percent mixture problems. 


Test questions for measurable learning outcomes

1) Solve for x.  Show your work.

4(3x+4) = 2x


2) Find the mean and standard deviation using the following set of numbers:  2, 7, 4, 13, 3   Show your work.


3) Darin drives 30 miles in 45 minutes  Going the same speed, how long does it take Darin to drive 10 miles?


Essay Question

Math is present in everyday situationsDefine 'mean' in your own words and describe a situation where you would use mean.  Why is this helpful?  Also, explain how having knowledge of mathematics will be beneficial in your personal life and career in the future.  Your response should be at least two paragraphs but no longer than one page.