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The ideas in this fraction lesson are taken from the Fractions 1 ebook. 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 revisited
Free lesson plan from HomeschoolMath.net

One third of the twelve flowers are dark.
 

1

3

of 12 is 4.

Example problem types

1.  Remember?  Find the asked parts of the whole group.


 
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 __ carrots is __ carrots.

2

5

 of __ carrots is __ carrots.

3

5

 of __ carrots is __ carrots.
 

 Fill 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 _______________________________________

 

 

Two fifths of the twenty berries are colored.
We can see it is eight berries.

1

5

of 20 berries is __.   

2

5

of 20 berries is ____.
What is the relationship between the two answers above?  __________________________
What is the relationship between

1

5

and

2

5

?   __________________________________
Give a rule to calculate 

2

5

of any given number if you already know

1

5

of the given number:

_____________________________________________________________________

 

2.  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

6

of 12 is __.

2

6

of 12 is __.

1

5

of 10 is __.

3

5

of 10 is __.


3.  Fill in the missing parts.

3

7

of 21 is __.

2

9

of 36 is __.

4

5

of 30 is __.

9

10

of 90 is __.

7

9

of 54 is __.

2

5

of 45 is __.

 
4.  Can you figure these out?  It requires some 'reverse thinking'!

1

2

of  ___ is 6.

1

3

of ___ is 18.

1

5

of ___ is 10.

9

10

of  ___ is 45.

2

3

of ___ is 12.

3

5

of ___ is 15.

 
5.  Solve how much is left or how much was in the beginning!

a.  There were 16 apples.  Rhonda ate 1/4 of them.  How many are left?
b.  Mom used 1/3 of the 12 eggs.  How many are left?
i.  Ken sold 3/5 of his marbles, and now he has 14 left.  How many did he have originally?
j.  Of Tim's stone collection 1/5 are white stones.  He has total of 75 stones.  How many of them are not white? 

                 How many cookies?
a.  Mom baked cookies, and gave 1/2 of them to Beth, and of the remaining ones, she gave 2/3 to Seth.  The rest, which was 4 cookies, she ate herself.  How many did she bake originally? b.  This time Mom baked again cookies, and gave 1/2 of them to Beth, and of the remaining ones she gave 1/3 to Seth.  Then there were left 2 cookies.  How many did she bake originally?

 

Next lesson: Measuring in Inches


The ideas in this fraction lesson are taken from the Fractions 1 ebook sold on this website. 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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Times Tales

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times tables with
mnemonic stories.

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Math Mammoth Fractions 2 ebook
Don't just memorize fraction rules - learn fractions visually!
Download Fractions 2 self-teaching worktext.

 

 

 

 

 

Teaching Tips and Math Lessons menu

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Square roots without a calculator?

High School

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Two-column proof vs. paragraph proof
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Fascinating irrational numbers
Proof that square root of 2 is irrational
Rational numbers are countable
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Fibonacci numbers and golden section
Why does the square root algorithm work?

 

 




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