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The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Part of a whole group
Free lesson plan from HomeschoolMath.net

Four of the ten parts are colored.
 

   

4

10

  of the parts are colored.
Three of the nine apples are dark.
 
  

3

9

  of the apples are dark.

 
Practice

1.  What part of the things is different?  Express as a fraction.

 

 

 

 


One third of the twelve flowers are dark.  We can see it is four flowers.
 

1

3

 of 12 is 4.

 
2.  Circle to make groups.  


 
Make 3 groups.

1

3

  of 12 apples is ___ apples.

2

3

  of 12 apples is ___ apples.

3

3

  of 12 apples is ___ apples.
Make 5 groups.

1

5

  of __ fish is __ fish.

2

5

  of __ fish is __ fish.

3

5

  of __ fish is __ fish.

4

5

  of __ fish is __ fish.


3.  Draw sticks or balls for the problems.  Make groups.  Find the given fraction of the balls. While you do the problems, think how you can find 1/2 of a number, or 1/3 of a number, or 1/4 or 1/5 or 1/6 of a number, etc.

 

1

3

  of 18 is __

 

1

5

  of 10 is __

  
Fill in your findings in the table.  Discuss with your teacher.

To find 

1

2

 of a number you need to _______________________________________
To find 

1

3

 of a number you need to _______________________________________
To find 

1

4

 of a number you need to _______________________________________

 
4.  Draw balls in your notebook if you need to - or figure these out in your head!

1

6

  of 30 is __

2

6

  of 30 is __

1

3

  of 30 is __

2

3

  of 30 is __

1

4

  of 36 is __

2

4

  of 36 is __

1

3

  of 36 is __

2

3

  of 36 is __


5.  Continue the patterns!

1

7

 of 21 is 3.

2

7

 of 21 is __.

3

7

 of 21 is __.

 

 

 of 21 is __.
 
  		of 21 is __.

  
 

of 21 is __.

  
 

of 21 is __.

1

5

 of 20 is 4.

2

5

 of 20 is __.

3

5

 of 20 is __.

 

 

 of 20 is __.
 
  		of 20 is __.

1

3

 of 21 is __.

1

3

 of 24 is __.

1

3

 of 27 is __.
  
  		of ___ is __.
  
  		of ___ is __.
  
  		of ___ is __.
  
  		of ___ is __.

 
6.  Fill the missing parts.  Use the top problem to help you solve the bottom one.

1

4

 of 12 is __.

3

4

 of 12 is __.

1

5

 of 10 is __.

3

5

 of 10 is __.

1

6

 of 24 is __.

5

6

 of 24 is __.

 
7.  Find where all the word quarter is used!

a. The word quarter means 1/4.  What is a quarter of 60 minutes (one hour)?  Draw a clock face and shade one fourth of it to illustrate this.  What common expressions about time use the word 'quarter' and what does it mean?
d.   How much is a quarter of a gallon?

 

Next lesson: mixed numbers

The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.



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