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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.


Mixed numbers
Free lesson plan from HomeschoolMath.net

Mixed numbers have two parts: a part that tells you the wholes and a fractional part that is less than one whole.  A mixed number can be written as a fraction if you count all the parts.

As a mixed number 
 
As a fraction 
 

1

1

3

  

4

3

"One and one-third"

"four thirds"

Notice especially! 

1 =

3

3

          

1 =

6

6

One whole is three thirds.        One whole is six sixths.
  

2 =

6

3

          

2 =

12

6

Two wholes is six thirds.        Two wholes is twelve sixths.

  
Practice

1.  Write what mixed numbers the pictures illustrate.

 
   

 



2.  Find matching pairs.

1

3

4

9

4

2

1

4

9

8

1

1

8

12

 5

3

1

5

11

 8

1

3

8

7

4

2

2

3

16

 5

 

3.  Now write these as mixed numbers AND fractions both.




4.  Draw pictures to illustrate these mixed numbers.  Then write them as fractions, too.

1

1

2

=
2

2

3

=
2

3

5

=

5.  Drawing again... this time draw enough 'pies' so you can make the picture, and write the fractions as mixed numbers.  

Draw pies divided into fourth parts.  Then shade 5 fourths.

5

4

=

7

3

=

8

5

=


 
6.  Label the tick marks on the number lines.  Between 1 and 2, label the tick marks both as fractions and as mixed numbers.

 

 

 

 

 

 

Next lesson: mixed numbers to fractions


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.











Times Tales cover

Times Tales

Learn the upper times tables (6s, 7s, 8s, 9s) with fun mnemonic stories.

NEW! Receive a free trial download of Times Tales PLUS a free Memory Trigger Ebook.

 

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