Chapter 2
This study sheet provides students and parents with the basic concepts of each chapter. Students still need to apply these skills in
context. They need to know when to apply each concept, often after working through a word problem, table, chart, or graph. Some
problems may be more challenging than the ones shown here, but students first need to understand these basic concepts. There
th
are usually several ways to solve a math problem, but this guide will show you the easiest way for 6 graders. The sections are listed
in the order that I plan on teaching them, and that is subject to change. We do not use every section of the textbook.
Click on the blue links to navigate through the study guide. You can also view videos at Khan Academy and Virtual Nerd.
Section
Topic:
2.1
Convert Fractions and Decimals
Converting Fractions to Decimals
-Divide the numerator by the denominator.
Common errors to
avoid:
Try this problem on
another sheet of paper:
Don’t forget to
simplify!
Convert
0.28 = “Twenty-
5 ÷ 8 = 0.625
eight hundredths”=
to a
decimal.
Practice more at
these websites:
Fruit Splat
Super Hero
Decimals
Answer
Puppy Chase
Converting Decimals to Fractions
-Say the number out loud.
But, the answer
choice will be in
the simplest form
0.58 = “Fifty-eight hundredths” =
Then simplify to
of
Section
Topic:
2.2
Compare and Order Fractions and Decimals
Common errors to
avoid:
Try this problem on
another sheet of paper:
Practice more at
these websites:
The easiest way to do compare and order fractions and decimals
is to convert them all to decimals. Just divide the numerators by
their denominators.
Pay attention to
the order that is
being asked for.
Order these numbers
from least to
greatest:
IXL
Put these numbers in order from least to greatest:
Is it least to
greatest, or
greatest to least?
,
,
0.45 ,
, 0.55
, 0.84 ,
Answer
work: 12÷20 = 0.6 leave it
, 0.45 ,
answer:
2÷5 = 0.4
leave it
Topic:
2.3
Multiply Fractions
Common errors to
avoid:
means ×
Just multiply straight across.
Read carefully.
, 0.55 ,
Section
of
0.5
×
=
Then simplify if
Be sure to check
that your answer is
written in simplest
form.
Try this problem on
another sheet of paper:
× 24 =
×
That way, you have a numerator and a
denominator, and you can multiply
straight across, and simplify at the end.
Ordering
(go to Options,
& choose
fractions or
tricky
decimals)
Practice more at
these websites:
Snow Sprint
of 48
Answer
Use you calculator
to check!
Dolphin Racing
Find the product:
possible.
If you multiply a fraction by a whole number, change the
whole number to a fraction, with 1 as the denominator.
Scooter Quest
Math
Playground
Section
Topic:
2.4
Simplify before Multiplying
Common errors to
avoid:
Regular way:
=
×
This only helps if
you know your
math facts!
, but then you have to simplify.
Instead, you can use the “butterfly method” to simplify
before multiplying. It’s an easy way to use mental math to
multiply fractions.
Keep practicing
your multiplication
and division facts.
Try this problem on
another sheet of paper:
Practice more at
these websites:
Video 1
Find the product.
Simplify before you
multiply.
Video 2
×
Answer
×
=
Section
Topic:
2.5
Model Fraction Division
÷
is asking “How many times does
fit into
Common errors to
avoid:
?”
Draw what you have, and break it into the appropriate sized
parts.
Sometimes it is
necessary to use
pieces from more
than one whole to
form a fraction.
2÷
Topic:
2.6
Estimate Quotients
Round each number, then divide with mental math.
47
÷8
≈ 48 ÷ 8 = 6 Done!
Practice more at
these websites:
IXL
Use the model to
find the quotient:
÷
Divide with
Models
Fraction Tiles
=3
So the answer is 10.
Section
Try this problem on
another sheet of paper:
Answer
Common errors to
avoid:
Try this problem on
another sheet of paper:
Don’t do all the
tough work and
then just round
your answer.
Estimate. Round
before you divide.
Instead, round all
the numbers, and
make it easy
mental math from
start to finish.
34
÷5
Answer
Practice more at
these websites:
Choose the
Sign
Section
Topic:
2.7
Divide Fractions
Common errors to
avoid:
Since we already know how to multiply fractions, we can just turn
this division expression into a multiplication expression.
Step 1: Flip the sign to multiplication.
÷
×
down).
×
Step 3: Mutliply across like normal.
×
Step 4: Simplify if possible.
Practice more at
these websites:
Find the quotient:
Math
Playground
nd
Only flip the 2
fraction (the
st
divisor). The 1
fraction never
changes!
nd
Step 2: Flip the 2 fraction into its reciprocal (turn it upside
Try this problem on
another sheet of paper:
Problem:
÷
Wrong

Dividing
Fractions
÷
Answer
×
=
way:
=2
Right

way:
Section
Topic:
2.8
Model Mixed Number Division
4
÷
means “How many times does
fit into 4
Common errors to
avoid:
?”
Draw what you have, then break it into the appropriate
sized parts.
Sometimes it is
necessary to use
pieces from more
than one whole to
form a fraction.
2
÷ =3
Topic:
2.9
Divide Mixed Numbers
Make both numbers into fractions. One or both may be improper
fractions. That’s ok! We can simplify at the end.
5 ÷2
=
÷
Then change it to a multiplication problem, and flip the 2
fraction to its reciprocal.
nd
Fraction Tiles
Draw a model to find
the quotient:
2
=

Then multiply straight across, and simplify.
 =
=2
Video
÷
Common errors to
avoid:
Try this problem on
another sheet of paper:
Don’t forget to flip
the sign to
multiplication!
Find the quotient:
Also, only flip the
nd
2 fraction (the
divisor) to form its
reciprocal.
Practice more at
these websites:
Math Man
9 ÷3
Answer
÷
Practice more at
these websites:
Answer
So, the quotient is 9,
because ½ fits into 4 ½
nine times
Section
Try this problem on
another sheet of paper:
Mixed to
Improper
Section
Answer
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2.1
7 ÷ 20 = 0.35
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Section
2.2
Answer
, 0.84
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,
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Section
Answer
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2.3
32
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Section
2.4
Answer
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=
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Section
Answer
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2.5
So the quotient is 6
Section
Answer
2.6
34
÷5
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≈ 35 ÷ 5 = 7
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Section
2.7
Answer
÷
Return to Study Guide
=

=
= 12
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Section
Answer
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2.8
So, the quotient is 7.
Section
Answer
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2.9
3
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