Student Assessment-

Authentic Assessment: Students will be assessed throughout the unit. For this lesson the following rubric will be used to evaluate the worksheet: Problem Solving- Sections & Acres.

Grading Scale: 13-16 points = A, 9-12 points = B, 6-8 = C, 3-5 = D, < 3 = F

 

 

Math - Problem Solving : Sections and Acres

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Teacher Name: Lee McIntosh

 

 

 

 

 

 

 

 

 

 

 

 

 

Student Name:     ________________________________________

 

 

 

 

 

 

CATEGORY

4

3

2

1

Mathematical Concepts

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 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 use, or a lot of inappropriate use, of terminology and notation.

Strategy/Procedures

Typically, uses an efficient and effective strategy to solve the problem(s).

Typically, uses an effective strategy to solve the problem(s).

Sometimes uses an effective strategy to solve problems, but does not do it consistently.

Rarely uses an effective strategy to solve problems.

Completion

All problems are completed.

All but 1 of the problems is completed.

All but 2 of the problems are completed.

Several of the problems are not completed.

 

 

 

Name__________________________          Date___________________

 

Problem Solving-Sections and Acres Worksheet

 

The previous lessons in this unit allowed for you to learn about land surveying and the process of dividing acres into sections. This process will assist you later when you decide when to purchase land for a home, farming or for a business.

 

 

Write two other ways to express the following equations.

Total price = (Price per acre) x (number of acres)

  1. __________ = __________ / __________

 

  1. __________ = __________/ __________

 

For each of the following problems decide which equation to use, substitute what you know and solve for the unknown.

  1. John wants to buy a ¼ section of ranch mountain land. The price of the land is $450 per acre. How much will it cost him to buy the land?

 

  1. John can’t convince the bank to lend him that much money. They will let him borrow $54,000. How many acres can he buy with his loan?

 

  1. John owns a piece of land that is 1/8 mile wide and ¼ mile long. He is going to sell it for $675 per acre. How much will he get for his land?

 

  1. With the money he gets for his land and his bank loan, how many acres can John buy?

 

  1. How much more money does he need to buy the whole ¼ section?