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Fruit for Sale

 

 

 

 

 

Open-Ended Template

 

Names: Mary Beth Krankowski, Susan Ratica, Marshelle Roberts, Marian Smith 

 

Grade Level: 3-5

Content Area:  Algebra and Functions

 

PA Standards addressed: 2.8.3-5.C  

NCTM standard(s) addressed: Algebra Functions – Patterns and Sequence

 

 

Problem Name: Fruit for Sale

 

Problem:

          Farmer Bob grew apples and peaches on his farm to sale.  He sold each bag of apples for $2 and each bag of peaches for $4.  At the end of the day, he came home with $20.  List all the possible combinations of apples and peaches to equal the amount he earned.

 

Directions:

 

*Show your work.

*Explain why you did each step.

                       OR

  Use chart/table to show how you got your answers.

*Write your answers in the box below.

*Label your answers

               

Problem Solutions:

  1.

2 bags of apples @ $2 each =   $ 4

 

4 bags of peaches @ $4 each = $16

 

 

4 bags of apples @ $2 each =   $ 8

 

3 bags of peaches @ $4 each = $12

 

 

6 bags of apples @ $2 each =   $12

 

2 bags of peaches @ $4 each = $ 8

 

 

8 bags of apples @ $2 each =   $16

 

1 bags of peaches @ $4 each = $ 4

 

*Each combination equals $20.  In a correct procedure, the student must show multiplication and addition in order to get total cost of $20.

 

    

 

2.

 

 

1

2

3

4

5

6

7

8

9

10

 

Apples

$2

$4

$6

$8

$10

$12

$14

$16

$18

$20

 

Peaches

$4

$8

$12

$16

$20

$24

$28

$32

$36

$40

 

    

 

 

 

*Students can make a table to choose combinations of apples and peaches that total $20.

 

 

 

 

3.

 

Total Cost of Variations of Apples & Peaches

 

 

 

 

 

 

 

 

 

 

 

Peaches

8

32

34

36

38

40

42

44

46

48

7

28

30

32

34

36

38

40

42

44

6

24

26

28

30

32

34

36

38

40

5

20

22

24

26

28

30

32

34

36

4

16

18

20

22

24

26

28

30

32

3

12

14

16

18

20

22

24

26

28

2

8

10

12

14

16

18

20

22

24

1

4

6

8

10

12

14

16

18

20

0

0

2

4

6

8

10

12

14

16

 

0

1

2

3

4

5

6

7

8

 

Apples

 

 

    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

* Students may create a matrix of values to choose the correct combinations that total $20. 

 

 

Problem Name:  Fruit for Sale

 

Grade Level:  3-5

 

Content Area:  Algebra

Specific Rubric:

 

 

5.

Correct answer with correct procedures and written explanation shown. The explanation MUST provide a description of the strategy used to solve the problem.

 

4.

Correct answer with complete correct procedures and written explanation that supports some of the work shown.

 

3.

Correct answer with one procedure shown or described and some explanation.

 

Incorrect answer with correct procedures shown and some explanation.  Student had one calculation or copying error.

 

2.

Correct answer with one procedure shown or described and no explanation.

 

Incorrect answer with one procedure shown and some or no explanation.

 

Incorrect answers with correct procedures shown and no explanation.

 

1.

Correct answers with no explanations or procedures shown.

No answer or incorrect answer but shows some work that may lead to the solution.

 

0.

Incorrect answer with incorrect or no explanation.

 

Blank or unrelated information.

 

 

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