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

rjyoung23@gmail.com. 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