Home Blog My books! Newsletter Worksheets Lessons Videos Online math resources Reviews Curriculum guide
 Tweet

Maria's Math news - a FREE math newsletter for parents and teachers

Subscribe below:

Latest from my blog
This is where you'll find the latest happenings, news, & ideas in math teaching

Math teaching videos
My videos at YouTube show you how to teach concepts.

Worksheets
Various worksheets on TONS of math topics you can generate for free!

Basic operations worksheet generator is updated! Make worksheets for whole numbers or integers - all four operations, including add & subtract or multiply & divide - horizontal or vertical - add a border and/or extra workspace, use a variable, and more.

Curriculum

Online math games, tutorials, and activities
Games you can play online, interactive tutorials, fun math websites and more. Arranged by topic/level for ease of use.

Lessons
Learn how to TEACH concepts or about general concerns in math education.

Reviews
In-depth reviews of math products

Math help & tutoring
A list of free message boards, math help websites, and online tutoring services.

Fun and games
I have two games on my site, plus links to many.

(easy hangman)
(difficult)

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.

# Subtract mixed numbers: renamingFree lesson plan from HomeschoolMath.net

### Strategy 3: Rename the mixed number.

In this method you break up one whole pie into slices, and join the "slices" from the whole pie with the existing slices. After that, you subtract. Examples will make this strategy clear.

 3 2 6 is renamed as 2 8 6 , and then we subtract 1 5 6 .

At first we have three uncut pies and 2/6. Then one of
the whole pies is cut into 6th parts. Now we have only
two whole (uncut) pies and 8 sixth parts.

We say that 3 2/6 is renamed as 2 8/6.
Then we can subtract 1 5/6 easily.

 3 2 6 − 1 5 6 = 2 8 6 − 1 5 6 =  1 3 6

Borrow 1 whole pie.

 Borrow 1 whole pie from the whole pies' column into the fractional parts' column.The one whole pie is 6 sixths. There were already two sixths in the fractional parts' column, so that is why it now has 8/6. Now you can subtract 5/6.
 2 1 8 is renamed as 1 9 8 , and then we subtract 5 8 .

At first we have two uncut pies and 1/8. Then one of
the whole pies is cut into 8th parts. Now we have only
one whole (uncut) pie and 8 eighth parts.

We say that 2 1/8 is renamed as 1 9/8.
Then we can subtract 5/8 easily.

 2 1 8 − 5 8 = 1 9 8 − 5 8 = 1 4 8

Borrow 1 whole pie.

 Borrow 1 whole pie from the whole pies' column into the fractional parts' column.The one whole pie is 8 eighths. There was already one eighth in the fractional parts' column, so that is why it now has 9/8. Now you can subtract 5/8.

1. Do not subtract anything. Just cut up one whole pie into fractional parts, and rename the mixed number.

 a.  2 1 6 is renamed as

b. (available in the book)

c.  (available in the book)

2. Do not subtract anything. Just cut up one whole pie into fractional parts, and rename the mixed number.

 a.  2 3 5 is renamed as

 c.  2 1 4 is renamed as

3. Subtract. First rename. Be careful. Check your calculation with the help of the pie pictures.

 a. 3 4 9 − 8 9 ↓ = 2 13 9 − 8 9 =

b. (available in the book)
c. (available in the book)

 2 3 8 −  1 7 8
 d. 2 3 8 −  1 7 8 ↓ = −  1 7 8 =

4. Subtract. You can draw a picture to help.

 a.   4 2 6 −  1 5 6 =

b. (available in the book)

c. (available in the book)

 d.   3 1 8 −  1 5 8 =

5. Rename if needed and subtract.

 a.        3 1 7 −  1 3 7
 b.        7 4 9 −  2 7 9
c. (available in the book)

 h.        10 3 20 −  5 7 20

6. Figure out what was subtracted. You can use the pictures to help you.

 a.   3  − = 1 1 4
c. (available in the book)

 e.   5  − = 1 1 8

7. Subtract.

 a.    5 3 8 − 1 7 8 =
 f.   16 5 12 −  4 11 12 =

Next lesson: A fractional part of a group 2

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.

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.