5 th Grade Number & Operations in Base Ten Based on the Common Core Standards www.mrsrojasteaches.blogspot.com Interactive Notebook: math Operations & Algebraic Thinking
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5th Grade
Number & Operations in Base Ten
Based on the Common Core Standards
www.mrsro jasteaches .b logspot .com
Interactive Notebook:
math
Operations & Algebraic
Thinking
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
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Table of Contents Standard: Title: Pages:
Parentheses, Brackets, & Braces (5.OA.1)
5.OA.1
I can use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Parentheses, Brackets, & Braces
1st Parentheses
2nd Brackets
3rd Braces
5 x (3 + 2) = ___
[5 x (3 + 2)] + 3 = ___
{ 2 x [5 x (3 + 2) ] } + 3 = ___
16 - (7 + 3) = ___
20– [(7 + 3)÷2] = ___
24 – {2 x [(7 + 3) ÷5] } = ___
Evaluate each. Show your work.
Expressions (5.OA.2)
5.OA.2
I can write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
Expressions
Write as a Numerical Expression:
Add 5 and 6, then
multiply by 2.
Write in Word Form:
(5 + 7) x 2
Write as a Numerical Expression:
Subtract the product of 6 and 8 from 100.
Write in Word Form:
(24 - 8) ÷ 2
Fill in the Blanks...
Numerical Expression
Word Form
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
I can generate 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.
Numerical Patterns, Ordered Pairs, & Coordinate Planes
Step 1: Generate Two Numerical Patterns
Add 3
x y
0
1
2
3
4
Add 6
x y
0
1
2
3
4
Step 2: Form Ordered Pairs
Add 3
( , )
( , )
( , )
( , )
( , )
Add 6
( , )
( , )
( , )
( , )
( , )
Step 3: Graph Ordered Pairs
x
y
0
Step 1: Generate Two Numerical Patterns
Add 2
x y
0
1
2
3
4
Add 4
x y
0
1
2
3
4
Step 2: Form Ordered Pairs
Add 2
( , )
( , )
( , )
( , )
( , )
Add 4
( , )
( , )
( , )
( , )
( , )
Step 3: Graph Ordered Pairs
x
y
0
Place Value (5.NBT.1)
5.NBT.1
I can recognize that 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.
Place Value
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
__________
What’s my
value?
Compare the value of 4 in 128,461 and 1,324,968.
Compare the value of 4 in 42,364 and 413,789
413,789
__________
42,364
__________
128,461
__________
1,324,968
__________
4,182,392
__________
Powers of 10 (5.NBT.2)
5.NBT.2
I can explain patterns 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.
Powers of 10
5 x 1 = ___
5 x 10 = ____
5 x 100 = _____
5 x 1000 = _______
5 ÷ 1 = ___
5 ÷ 10 = ____
5 ÷ 100 = _____
5 ÷ 1000 = _______
5 x 101 = ___
5 x 102 = ____
5 x 103 = _____
5 x 104 = _______
What patterns do you notice?
What patterns do you notice?
What patterns do you notice?
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)
Numerals, Word Form, & Expanded Form
5.NBT.3
I can read and write decimals to thousandths using base-ten numerals, number names, and expanded form. .
Word
Form
Expanded
Form Expanded
Form
Number Form:
Tens Ones Tenths Hundredths Thousandths
76.429
Expanded Form à
Word Form à
forty-five and two hundred sixty-one thousandths
ß Number Form
ß Expanded Form
(9 x 10) + (3 x 1) + (6 x 1/10) + (5 x 1/100)
Number Form à
Word Form à
76.429
Expanded Form à
Word Form à
forty-five and two hundred sixty-one thousandths
ß Number Form
ß Expanded Form
(9 x 10) + (3 x 1) + (6 x 1/10) + (5 x 1/100)
Number Form à
Word Form à
Comparing Decimals (5.NBT.3)
Comparing Decimals
5.NBT.3
I can compare two decimals, using > , = , <.
Use me to show
“less than”
Use me to show “greater
than”
Use me to show
“equal to”
Be a Math Detective
Line the numbers up and look closely
when comparing
47.824 47.842
Compare 47.824 & 47.842
75.876 75.786
67.371 67.317
51.981 51.891
Rounding Decimals (5.NBT.4)
5.NBT.4
I can use place value understanding to round decimals to any place.
Rounding Decimals
Circle the digit that you
are rounding to. Underline the digit
to the right.
If the underlined digit is 5 or more, round up. If not,
keep it as is.
The rest of the digits
become zeros.
Round
27. 589
to the nearest tenth
Round
3.6 4 8
to the nearest hundredth
Round
19. 643
to the nearest tenth
Round
5.872
to the nearest whole number
Round
36. 735
to the nearest tenth
Round
7.5 6 8
to the nearest hundredth
Multiplication (5.NBT.5)
Multiplication
5.NBT.5
I can fluently multiply multi-digit whole numbers using the standard algorithm.
Cut on the dotted line. Fold on the solid line. Glue this tab down.
Multiplying
by 1 digit
Multiplying
by multiple digits
Using the Standard Algorithm to Multiply Multi-Digit Numbers
Try using the Traditional Algorithm...
365 2,579
x 4 x 8
764 6,374
x 43 x 27
736 3,547
x 457 x 523
Division (5.NBT.6)
Division
5.NBT.6
I can find whole number quotients of whole numbers with up to 4-digit dividends and two-digit divisors.
Partial
Quotients
Long
Division
Strategies for Dividing Multi-Digit Numbers by 2 Digits
Try using Long Division...
23 2,329
19 4,643
Try using the Partial Quotients Strategy...
27 3,467
16 5,674
Addition & Subtraction of Decimals (5.NBT.7)
Addition & Subtraction of Decimals
5.NBT.7
I can add and subtract decimals to hundredths.
25.4 - 16.54
23.7 + 13.25
When adding or subtracting decimals,
always make sure that you line up the
decimals first.
+ -
+
54.8 + 16.17
+
15.81 + 19.2
- -
36.3 – 18.17
41.82 – 23.79
Multiplication of Decimals (5.NBT.7)
Multiplication of Decimals
5.NBT.7
I can multiply decimals to hundredths.
Shade 3 tenths in blue
Find the Product: 0.2 x 0.3
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)
Division of Decimals
5.NBT.7
I can divide decimals to hundredths.
3. How many groups do you have?
Find the Quotient: 0.45 ÷ 0.05
So, 0.45 ÷ 0.05 = ___
0.27 ÷ 0.09 Quotient:
Quotient:
Quotient:
0.42 ÷ 0.07
0.4 ÷ 0.05
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