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starFebruary 2012: triangle puzzle, Vi Hart & mathematical doodling, compound percent, geometry videos, and more

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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.

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New! Times Tales is now on DVD!

The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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