Analytical Reasoning Rubric

Performance Factor

4

3

2

1

Mathematical concepts and terminology

Explanation shows complete understanding of the mathematical concepts used to solve the problem(s)

Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s)

Explanation shows some understanding of the mathematical concepts needed to solve the problem(s)
 

Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written

Mathematical  reasoning

Uses complex and refined mathematical reasoning

Uses effective mathematical reasoning

Some evidence of mathematical reasoning

Little evidence of mathematical reasoning

Mathematical errors

90-100% of the steps and solutions have no mathematical errors

Almost all (85-89%) of the steps and solutions have no mathematical errors

Most  (75-84%) of the steps and solutions have no mathematical errors

Most of the steps and solutions have mathematical errors

 

Mathematical terminology and notation

Correct terminology and notation are always used making it easy to understand what was done

Correct terminology and notation are usually used making it fairly easy to understand what was done

Correct terminology and notation are used but it is sometimes not easy to understand what was done

There is little  or inappropriate use of terminology and notation

 

Explanation

Explanation is detailed and clear

 

 

Explanation is clear

 

 

 

Explanation is a little difficult to understand but includes critical components

Explanation is difficult to understand and is missing several components OR was not included