5th Grade
Interactive Notebook:
math
Operations Number &
& Algebraic Operations
in Base Ten
Thinking
Based on the Common Core Standards
www.mrsrojasteaches.blogspot.com
5th Grade Interactive Math Notebook –
Operations & Algebraic Thinking and Number & Operations in Base Ten
Thank you so much for purchasing my 5th Grade Interactive Math Notebook, based
on the Common Core Standards. I am so excited to be using the 4th grade version of
this product in my own classroom this year! Each of the pages in this Math Notebook
can be used to introduce and/or wrap-up each math standard. These pages will also
serve as an information guide for students to refer back to as they review these
standards throughout the year.
There is a double-page spread for each concept or skill. The first page gives an
explanation of the concept or skill. It provides tips, procedures, definitions, examples,
and/or illustrations. The second page gives students the opportunity to demonstrate
their learning with a sample of practice exercises.
To create an Interactive Math Notebook, your students will need the following…
o Spiral Notebook
o Scissors
o Glue Sticks
o Pencils
o Colored pens, pencils, and/or markers
What’s Included…
o Student Notebook Covers
o Table of Contents (2 to 3 pages will be needed for each student)
o Masters and Sample Pages for the following math concepts/skills:
1. Parentheses, Brackets, & Braces (5.OA.1)
2. Numerical Expressions (5.OA.2)
3. Numerical Patterns, Ordered Pairs, Coordinate Plane (5.OA.3)
4. Place Value (5.NBT.1)
5. Powers of 10 (5.NBT.2)
6. Numerals, Word Form, and Expanded Form (5.NBT.3)
7. Comparing Decimals (5.NBT.3)
8. Rounding Decimals (5.NBT.4)
9. Multiplication (5.NBT.5)
10. Division (5.NBT.6)
11. Addition & Subtraction of Decimals (5.NBT.7)
12. Multiplication of Decimals (5.NBT.7)
13. Division of Decimals (5.NBT.7)
Coming Soon: 5th Grade Interactive Math Notebook pages for:
“Number & Operations – Fractions”, “Measurement & Data”, and “Geometry”.
If you have any questions or comments, please feel free to email me at
[email protected]. EnjoyJ
My Math
My Math
Notebook
Notebook
Name: ________________
Name: ________________
Table of Contents
Standard: Title: Pages:
Parentheses, Brackets, & Braces (5.OA.1)
5.OA.1
Parentheses,
Brackets, & Braces
I can use p
a
rentheses, brackets, or braces in numerical
expressions, and evaluate expressions with these symbols.
1st 2nd 3rd
Parentheses Brackets Braces
5 x (3 + 2) = ___
[5 x (3 + 2)] + 3 = ___
{ 2 x [5 x (3 + 2) ] } + 3 = ___
Evaluate each. Show your work.
16 - (7 + 3) = ___
20– [(7 + 3)÷2] = ___
24 – {2 x [(7 + 3) ÷5] } = ___
Expressions (5.OA.2)
5.OA.2
Expressions
I can write sim p
le expressions that record calculations with numbers,
and interpret numerical expressions without evaluating them.
Write as a Numerical Write as a Numerical
Expression: Expression:
Add 5 and 6, then Subtract the product
multiply by 2. of 6 and 8 from 100.
Write in Word Form: Write in Word Form:
(5 + 7) x 2 (24 - 8) ÷ 2
Fill in the Blanks...
Numerical Word Form
Expression
Add 17 and 13, then
divide by 2.
(25 + 25) x 2
Subtract the product
of 6 and 5 from 50.
40 – (8 + 6)
Subtract 15 from 25,
then multiply by 6.
(8 x 3) ÷ 6
Numerical Patterns, Ordered Pairs, &
Coordinate Planes (5.OA.3)
5.OA.3
Numerical Patterns, Ordered
Pairs, & Coordinate Planes
I can gen
erate two numerical patterns using two given rules, and
identify relationships between corresponding terms. I can form
ordered pairs and graph the ordered pairs on the coordinate plane.
Step 1: Generate Two Step 2: Form
Numerical Patterns Ordered Pairs
Add 3 Add 6 Add 3 Add 6
xy xy (, ) (, )
0 0 (, ) (, )
1 1 (, ) (, )
2 2 (, ) (, )
3 3 (, ) (, )
4 4
Step 3: Graph Ordered Pairs
y
0x
Step 1: Generate Two Step 2: Form
Numerical Patterns Ordered Pairs
Add 2 Add 4 Add 2 Add 4
xy xy (, ) (, )
0 0 (, ) (, )
1 1 (, ) (, )
2 2 (, ) (, )
3 3 (, ) (, )
4 4
Step 3: Graph Ordered Pairs
y
0x
Place Value (5.NBT.1)
Place Value5.NBT.1
I can recognize th
at in a multi-digit number, a digit in one place
represents 10 times what it represents in the place to its right
and 1/10 of what it represents in the place to its left.
What
’ s my
value?
Compare the value of 8 in 4,128,361 and 19,681.
82,364
4,128,361
__________
__________
27,324,968
19,681
__________
__________
Wvhaalt u
’ se?m
y 413,789
__________
Compare the value of 4 in 128,461 and 1,324,968.
Compare the value of 4 in 42,364 and 413,789
42,364
128,461
__________
__________
1,324,968
4,182,392
__________
__________
Powers of 10 (5.NBT.2)
Powers of 105.NBT.2
I can explain patter n
s in the number of zeros in a product and the
placement of a decimal point, when multiplying or dividing a number by a
power of 10. I can use whole-number exponents to denote powers of 10.
5 x 1 = ___ What patterns do you notice?
5 x 10 = ____ What patterns do you notice?
5 x 100 = _____ What patterns do you notice?
5 x 1000 = _______
5 ÷ 1 = ___
5 ÷ 10 = ____
5 ÷ 100 = _____
5 ÷ 1000 = _______
5 x 101 = ___
5 x 102 = ____
5 x 103 = _____
5 x 104 = _______
23 x 100 = 15 ÷ 1000 =
___________ ___________
12 x 102 = 316 x 10 =
___________ ___________
26 ÷ 100 = 19 x 103 =
___________ ___________
9 x 104 = 83 x 10,000 =
___________ ___________
Numerals, Word Form, & Expanded Form
(5.NBT.3)
5.NBT.3
Numerals, Word Form,
& Expanded Form
I can read and write decimals to thousan
dths using base-ten
numerals, number names, and expanded form. .
Tens Ones Tenths Hundredths Thousandths
Number Form:
Word
Expanded
Form
Form
Expanded
Form
76.429
à
76.429
à
à
à
Expanded Form Expanded Form
Word Form Word Form
forty-five and two hundred forty-five and two hundred
sixty-one thousandths
sixty-one thousandths
ß Number Form
ß Number Form
ß Expanded Form
ß Expanded Form
(9 x 10) + (3 x 1) +
(9 x 10) + (3 x 1) +
(6 x 1/10) + (5 x 1/100)
(6 x 1/10) + (5 x 1/100)
à
à
Number Form Number Form
Word Form à
Word Form à
Comparing Decimals (5.NBT.3)
5.NBT.3
Comparing Decimals
I can compare two decimals, using > , = , <.
Use me
Use me
Use me
“tgorse ha
otewr
to s h
ow
to s h
ow
“equal to”
“less than”
than”
47.842
Be a Math Detective
47.824
Compare 47.824 & 47.842
Line the numbers
up and look closely
when comparing
75.876 75.786
67.371 67.317
51.981 51.891
Rounding Decimals (5.NBT.4)
5.NBT.4
Rounding Decimals
I c
a n use place value understanding
to round decimals to any place.
Circle the
If the underlined
digit that you
digit is 5u
p o.rIfmnoorte, ,
The rest
are roun
ding to. round
Underline the digit
beocf othmee
digits
keep it as is.
zeros.
to the right.
Round
27.589
to the nearest tenth
Round
3.648
to the nearest hundredth
Round
36.735
to the nearest tenth
Round
7.568
to the nearest hundredth
Round
19.643
to the nearest tenth
Round
5.872
to the nearest whole number
Multiplication (5.NBT.5)
5.NBT.5
Multiplication
I can fluently mul
t
iply multi-digit whole numbers using the
standard algorithm.
Using the Standard
Algorithm to Multiply
Multi-Digit Numbers
Cut on the dotted line. Fold on the solid line. Glue this tab down.
Multiplying
Multiplying
by 1 digit
by multiple
digits
Try using the Traditional Algorithm...
365 2,579
x4 x 8
6,374
764
x 43 x 27
736 3,547
457 x 523
x
Division (5.NBT.6)
5.NBT.6
Division
I can find whole num
ber quotients of whole numbers with up to
4-digit dividends and two-digit divisors.
Long
Partial
Quotients
Division
Strategies for
Dividing Multi-Digit
Numbers by 2 Digits
Try using the Partial Try using
Quotients Strategy... Long Division...
27 3,467
23 2,329
16 5,674
19 4,643
Addition & Subtraction of Decimals (5.NBT.7)
5.NBT.7
Addition & Subtraction
of Decimals
I can add an
d subtract decimals to hundredths.
When adding or 25.4 - 16.54
subtracting decimals,
23.7 + 13.25
always make sure
that you line up the
decimals
first.
+-
54.8 + 16.17
+
36.3 – 18.17
+
15.81 + 19.2
41.82 – 23.79
--
Multiplication of Decimals (5.NBT.7)
5.NBT.7
Multiplication of
Decimals
I can mu
l
t iply decimals to hundredths.
Find the Product:
0.2 x 0.3
Shade 3 tenths
in blue
So, 0.2 x 0.3 = ___
0.5 x 0.3
Product:
0.2 x 0.6
Product:
0.4 x 0.4
Product:
Division of Decimals (5.NBT.7)
5.NBT.7
Division of
Decimals
I can div
ide decimals to hundredths.
Find the Quotient:
0.45 ÷ 0.05
3. How many
groups do
you have?
So, 0.45 ÷ 0.05 = ___
0.27 ÷ 0.09
Quotient:
0.42 ÷ 0.07
Quotient:
0.4 ÷ 0.05
Quotient: