Source: Wiggins, G., & McTighe, J. Understanding by Design.
Merrill Prentice Hall: 1998.
For further information about Backward Design refer to http://www.ubdexchange.org/
Title: Islam Inheritance Mathematics Subject/Course: Math
Topic: Algebra Grade(s):
8 Designer(s): Pam Joseph  
Stage
1 – Desired Results  
Established
Goal(s) (enter
goals here)
M8N.
Number and Operations
Students will understand concepts of large and small numbers and apply them to real world situations.
M8P. Process Skills
Students will apply mathematical concepts and skills in the context of authentic problems and will understand concepts rather than merely following the sequence of procedures. They will also use the process standards as a way acquiring and using content knowledge.
M8P1. Using appropriate technology the student will
solve problems that arise in mathematics and in other
context. M8P2. Students will investigate, develop, and evaluate mathematical arguments. M8P3. Students will use the language of mathematics to express ideas precisely. M8P4. Students understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. M8P5. Students will create and use pictures, manipulatives, models and symbols to organize, record, and communicate mathematical ideas.
 
Understanding(s)
Students will understand...
1. how a woman's estate is divided among her beneficiaries according to Islamic inheritance law 2. that the method of dividing a woman's estate in Islamic inheritance law involves adding and subtracting fractions which represent the parts of the woman's estate 3. that in Islamic inheritance law sons receive twice as much as daughters, and a stranger's share must be paid first 4. how women are viewed in the Islamic culture 
Essential
Question(s) 1. What is the definition of Algebra? 2. What do the terms inheritance and estate mean? 3. What are fractions and how are they converted to whole numbers? 4. What are some problemsolving steps in mathematics? 5. How are fractions added, subtracted, multiplied and divided?
Q

 
Students will know... 2. that in the second half of this book, there are problems about the Islamic law of inheritance and that according to the law when a woman dies her husband receives onequarter of her estate and the rest is divided among her children so that a son receives twice as much as a daughter 3. that if the woman chooses to leave money to a stranger, the stranger cannot receive more than onethird of the estate without the approval of the heirs and that if only some of the heirs approve, the approving heirs must pay the stranger out of their own shares the amount that exceeds onethird of the estate.

Students will be able to... 1. Understand an example Islamic inheritance problem. 2. Solve an Islamic law inheritance problem. 3. Write out all of their calculations. 4. Check to make sure that all of the beneficiary sums equal the total estate.
S

 
Stage
2 – Assessment Evidence 
 
Performance
Task(s) Summary in G.R.A.S.P.S.
form 1. Show the example problem from AlKhwarizmi's Algebra: A woman dies leaving a husband, a son and three daughters. She also leaves a bequest consisting of 1/8 + 1/7 of her estate to a stranger. She leaves $224,000. Calculate the shares of her estate that go to each of her beneficiaries. Solution: The stranger receives 1/8 + 1/7 = 15/56 of the estate, leaving 41/56 to be shared out among the family. The husband receives onequarter of what remains, or 1/4 of 41/56 = 41/224. The son and the three daughters receive their shares in the ratio 2:1:1:1 so the son's share is two fifths of the estate after the stranger and husband have been given their bequests and each daughter's share is one fifth. (2+1+1+1+1=5). If the total estate is $224,000, the shares received by each beneficiary will be: Stranger 15/56 of $224,000 = $60,000. Husband 41/224 of $224,000 = $41,000. Son 2/5 of ($224,000101,000) = $49,200. Each daughter 1/5 of ($224,000101,000) = $24,600. TOTAL = $224,000 2. Give the students their project which is the following: Solve this Islamic law inheritance problema woman's estate totals $72,000. She dies leaving a husband, two sons and two daughters. In her will, she leaves a bequest of 1/9 + 1/6 of her estate to a stranger. Calculate how much of her estate each of her beneficiaries will receive. Write out all your calculations. Check to make sure your beneficiary sums equal the total estate.
The original lesson plan
that this lesson plan was adapted from is on the following website
http://www.deltacollege.edu/dept/basicmath/Islamic.htm.  
 
Other
Evidence
 
Stage
3 – Learning Plan 
Learning
Activities Consider the W.H.E.R.E.T.O. elements.
