Educaching Lesson with Equivalent Fractions

Carol Rudisill

Fraction Mania Lesson Objective: In this activity, students will practice identifying and generating equivalent fractions using multiplication and division. As students solve each problem, they will discover their next way point.

Ohio Standards:   

Identify and generate equivalent forms of fractions. (Number, Number Sense, and Operations, Fifth Grade #3) Use various forms of “one” to demonstrate the equivalence of fractions. (Number, Number Sense, and Operations, Fifth Grade #2) Communicate mathematical thinking to others and analyze the mathematical thinking and strategies of others. (Math Processes Benchmarks, Grades 5-7, letter J)

Materials for the Hunt:       

Fraction Mania Clue sheets (copied on a different color for each team) Fraction Mania Answer Sheets (1 per team or 1 per student) Clipboard or other hard surface for writing on in the field GPS receivers Containers for clues (6 per group) Teacher Map of the Educaching Area Fraction Mania worksheet (if desired)

Sheets Provided for You:     

Fraction Mania Clue Sheets #1, #2, & #3 (to be cut and placed in containers) Answer Key for Clue Sheets #1, #2, & #3 Fraction Mania Answer Sheets #1, #2, & #3 (for students) Fraction Mania: More Fraction Fun Fraction Mania: More Fraction Fun – Answer Key

Copy the provided Clue Sheets on different colored paper. Each team will look for different colored clues. Cut out each clue and place into individual containers. page 1 out of 3

Copy the provided Answer Sheets. You may choose for each team to carry one answer sheet or provide each student with their own answer sheet. A suggestion would be to copy each team’s answer sheet on the same colored paper as their clues.

For The Hunt:  

Go and hide the containers with one clue in each container. There are 6 clues per group. Mark the waypoints for each container on your teacher map so you can remember where you hid each container.

Let’s Go Educaching! Before the Hunt:  

Assemble groups and pass out answer sheets and clipboards. Explain that the students will be going out and hunting for their educaches together. Each group will need to solve a problem at each location by finding an equivalent fraction. They will have two answer choices for each problem. Choosing the correct equivalent fraction will tell them which way point to go to next on the hunt. You might wish to give them an example of how the clues are set up.

Example below: “Since 2/8 is equivalent to 1/4, you would go to way point Y next.” Way Point

Problem to Solve

X

-------- =

1 4

2 8

--------

4 12

Go to way point Y

Go to way point Z

The Hunt: 

 

During the hunt, students only need to fill out the waypoints and their answers on their answer sheet. The section with finding more equivalent fractions can be completed when the students arrive at headquarters (or home base if they finish earlier then other groups). Pass out the GPS units with the waypoints stored. When the students are ready, release them into the school yard to get busy seeking. o Team #1 starts with waypoint A. o Team #2 starts with waypoint B. o Team #3 starts with waypoint C. When all groups have found their educaches, bring them back into the room.

page 2 out of 3

Back at Headquarters: Note: Be sure to collect all GPS units and containers from the hunt. Equivalent Fractions:  

Back in the room, have the students complete their answer sheets by finding five more equivalent fractions for each answer they solved during the hunt. You may choose to have students continue to work in groups, with a partner, or individually. Students can trade Answer Sheets to check each other’s work.

Have the students complete the provided Fraction Mania worksheet as additional practice or an assessment on equivalent fractions.

page 3 out of 3

Fraction Mania Clue Sheet #1 Way Point

Problem to Solve

A

-------- =

1 2

Way Point

Problem to Solve

D

6 -------- = 16

Way Point

Problem to Solve

G

-------- =

4 9

Way Point

Problem to Solve

J

-------- =

10 25

Way Point

Problem to Solve

M

45 -------- = 63

Way Point

P

Problem to Solve

5 10

--------

2 3

Go to way point D

Go to way point C

2 6

--------

3 8

Go to way point I

Go to way point G

12 18

--------

16 36

Go to way point E

Go to way point J

2 5

--------

5 15

Go to way point M

Go to way point H

5 10

--------

5 7

Go to way point F

Go to way point P

Fraction Mania Clue Sheet #2 Way Point

Problem to Solve

B

-------- =

3 4

Way Point

Problem to Solve

E

20 -------- = 30

Way Point

Problem to Solve

H

-------- =

7 9

Way Point

Problem to Solve

K

-------- =

5 35

Way Point

Problem to Solve

N

49 -------- = 56

Way Point

Q

Problem to Solve

6 8

--------

2 3

Go to way point E

Go to way point C

2 6

--------

2 3

Go to way point I

Go to way point H

21 27

--------

7 18

Go to way point K

Go to way point J

2 5

--------

1 7

Go to way point M

Go to way point N

3 4

--------

7 8

Go to way point L

Go to way point Q

Fraction Mania Clue Sheet #3 Way Point

Problem to Solve

C

-------- =

8 10

Way Point

Problem to Solve

F

18 -------- = 20

Way Point

Problem to Solve

I

-------- =

1 3

Way Point

Problem to Solve

L

-------- =

12 24

Way Point

Problem to Solve

O

36 -------- = 42

Way Point

R

Problem to Solve

1 2

--------

4 5

Go to way point D

Go to way point F

9 10

--------

3 8

Go to way point I

Go to way point G

11 33

--------

9 36

Go to way point L

Go to way point J

2 5

--------

3 6

Go to way point M

Go to way point O

4 8

--------

6 7

Go to way point B

Go to way point R

Fraction Mania Clue Sheet #1 ANSWERS Way Point

Problem to Solve

A

-------- =

1 2

Way Point

Problem to Solve

D

6 -------- = 16

Way Point

Problem to Solve

G

-------- =

4 9

Way Point

Problem to Solve

J

-------- =

10 25

Way Point

Problem to Solve

M

45 -------- = 63

Way Point

P

Problem to Solve

5 10

--------

2 3

Go to way point D

Go to way point C

2 6

--------

3 8

Go to way point I

Go to way point G

12 18

--------

16 36

Go to way point E

Go to way point J

2 5

--------

5 15

Go to way point M

Go to way point H

5 10

--------

5 7

Go to way point F

Go to way point P

Fraction Mania Clue Sheet #2 ANSWERS Way Point

Problem to Solve

B

-------- =

3 4

Way Point

Problem to Solve

E

20 -------- = 30

Way Point

Problem to Solve

H

-------- =

7 9

Way Point

Problem to Solve

K

-------- =

5 35

Way Point

Problem to Solve

N

49 -------- = 56

Way Point

Q

Problem to Solve

6 8

--------

2 3

Go to way point E

Go to way point C

2 6

--------

2 3

Go to way point I

Go to way point H

21 27

--------

7 18

Go to way point K

Go to way point J

2 5

--------

1 7

Go to way point M

Go to way point N

3 4

--------

7 8

Go to way point L

Go to way point Q

Fraction Mania Clue Sheet #3 ANSWERS Way Point

Problem to Solve

C

-------- =

8 10

Way Point

Problem to Solve

F

18 -------- = 20

Way Point

Problem to Solve

I

-------- =

1 3

Way Point

Problem to Solve

L

-------- =

12 24

Way Point

Problem to Solve

O

36 -------- = 42

Way Point

R

Problem to Solve

1 2

--------

4 5

Go to way point D

Go to way point F

9 10

--------

3 8

Go to way point I

Go to way point G

11 33

--------

9 36

Go to way point L

Go to way point J

2 5

--------

3 6

Go to way point M

Go to way point O

4 8

--------

6 7

Go to way point B

Go to way point R

Fraction Mania Answer Sheet Team #1 E X A M P L E

Way Point

Z

--------

1 6

More Equivalent Fractions

2 12

--------

3 18

--------

4 24

--------

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

5 30

--------

6 36

--------

Fraction Mania Answer Sheet Team #2 E X A M P L E

Way Point

Z

--------

1 6

More Equivalent Fractions

2 12

--------

3 18

--------

4 24

--------

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

5 30

--------

6 36

--------

Fraction Mania Answer Sheet Team #3 E X A M P L E

Way Point

Z

--------

1 6

More Equivalent Fractions

2 12

--------

3 18

--------

4 24

--------

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

Way Point

More Equivalent Fractions

5 30

--------

6 36

--------

Fraction Mania: More Fraction Fun Fill in two equivalent fractions for each fraction given.

Fraction Mania: More Fraction Fun ANSWER KEY - Possible solutions

Fraction Mania - Equivalent Fractions

This lesson was developed by Carol Rudisill during the 2010-2011 STEM Inquiry Series through NWO COSMOS, Bowling Green State University.