Performance Task Math 8 Week 5 To 8 1

 

 Republic of the Philippines Department of Education Region VII, Central Visayas Division of Cebu Province SANTA FE DISTRICT  ___________________  School Performance Task in Mathematics 8 Quarter 2 Week 7

MELC: Determine the inverse,converse and contrapositive of an if- then statement. Competency Code:M8AL-llg-1 Name:

______________________ Section: _____________

Date: ____________ 

 Directions: Complete the table below .Given the conditional statement, supply the converse, inverse and contrapositive . Write your answer in the test paper. Sample: Conditional statement:  If you work for eight hours, then you work for one – third of a day. Converse : If you work for one- third od a day, then you work for eight hours. Inverse : If you do not work for eight hours, then you do not work for one- third of a day. Contrapositive: If you do not work for one- third of a day, then you do not work for eight hours.

Conditional Statement

Converse

Inverse

Contrapositive

1. If the weather is nice, then I will wash the car. 2. If I am at Disneyland, then I am in California. 3. If 6 is a factor of x, then 2 is a factor of X. 4. If 2x=18, then x= 9.

5. If n>2, then n² > 4.

8 Po Poin ints ts 6 Po Poin ints ts 4 Po Poin ints ts 2 Po Poin ints ts

   

RUBRICS: Perf Perfec ectl tly y comp comple lete ted d the the tabl table e an and d supp suppli lied ed the the conv conver erse se,, inve invers rse e and and cont contra rapo posi siti tive ve of the conditional statement without errors. Almos lmostt per perfe fect ctly ly comp comple lete ted d the the tabl table e and and supp suppli lied ed the the co conver nverse se,, inv inver ers se and and contrapositive of the conditional statement with minimal errors. Sa Sati tisf sfac acto tori rily ly comp comple lete ted d the the tabl table e and and supp suppli lied ed the the con conve vers rse, e, inve invers rse e and and contrapositive of the conditional statement with few errors. Need eed imp impro rove veme ment nt in comp comple leti tin ng th the tab table le and and su suppli pplied ed the the con conve vers rse, e, inve invers rse e and and contrapositive of the condition statement with lot of errors.

Prepared by: KENNEDY E. OFQUERIA Teacher 1/ SFNHS

Checked by: JUVY A. GIDUQUIO Municipal Math Coordinator

 

Performance Task in Math 8- Quarter 2, Week 7  Answer key: 1. If the weather is nice, nice, then I will wash wash the car.   a. Conv Conver erse se : If I wi will ll wash wash the the car, car, then then the the weat weathe herr nice nice   b. Inve Invers rse: e: If the the weath eather er is not not nice nice,, then then I will ill not not wash wash the the ca car. r.   c. Contrapositive : If I will not wash the car, then the weather is not nice.   2. If I am at Disneyland, then I am in California.   a. Converse : If I am in California, then I am at Disneyland Disneyland   b. Inver Inverse: se: : If I am not in California, California, then I am not at Disneyland Disneyland   c. Contrapositive. If I am not in Disneyland, then I am not in California 3. If 6 is a factor of x, then 2 is a factor of X.   a. Converse : . If 2 is a factor of x, then 6 is a factor of X   b. Inver Inverse: se: If 2 is is not a factor of x, then then 6 is not a factor of of X c. Contrapositive:. . If 6 is not a factor of x, then 2 is not a factor of X . 4. If 2x=18, then x= 9.   a. Converse : If x= 9, then 2x= 18   b. Inverse: Inverse: If 2x‡18, then x‡9   c. Contrapositive:  If x‡ 9, then 2x‡18 5. If n>2, then n² > 4.   a. Converse : If n² > 4 then n>2   b. Inverse: If not >2, then n² n ot ot > 4. c. Contrapositive: If n² not > 4, then n not >2