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1.1 Real Numbers: Algebra Essentials

  • ⓐ 11 1 11 1
  • ⓒ − 4 1 − 4 1
  • ⓐ 4 (or 4.0), terminating;
  • ⓑ 0. 615384 ¯ , 0. 615384 ¯ , repeating;
  • ⓒ –0.85, terminating
  • ⓐ rational and repeating;
  • ⓑ rational and terminating;
  • ⓒ irrational;
  • ⓓ rational and terminating;
  • ⓔ irrational
  • ⓐ positive, irrational; right
  • ⓑ negative, rational; left
  • ⓒ positive, rational; right
  • ⓓ negative, irrational; left
  • ⓔ positive, rational; right
a. X X
b. 0 X X X
c. X X X X
d. X
e. 4.763763763... X
  • ⓐ 11, commutative property of multiplication, associative property of multiplication, inverse property of multiplication, identity property of multiplication;
  • ⓑ 33, distributive property;
  • ⓒ 26, distributive property;
  • ⓓ 4 9 , 4 9 , commutative property of addition, associative property of addition, inverse property of addition, identity property of addition;
  • ⓔ 0, distributive property, inverse property of addition, identity property of addition
Constants Variables
a.
b. 2(L + W) 2 L, W
c. 4
  • ⓒ 121 3 π 121 3 π ;
  • ⓐ −2 y −2 z or  −2 ( y + z ) ; −2 y −2 z or  −2 ( y + z ) ;
  • ⓑ 2 t −1 ; 2 t −1 ;
  • ⓒ 3 p q −4 p + q ; 3 p q −4 p + q ;
  • ⓓ 7 r −2 s + 6 7 r −2 s + 6

A = P ( 1 + r t ) A = P ( 1 + r t )

1.2 Exponents and Scientific Notation

  • ⓐ k 15 k 15
  • ⓑ ( 2 y ) 5 ( 2 y ) 5
  • ⓒ t 14 t 14
  • ⓑ ( −3 ) 5 ( −3 ) 5
  • ⓒ ( e f 2 ) 2 ( e f 2 ) 2
  • ⓐ ( 3 y ) 24 ( 3 y ) 24
  • ⓑ t 35 t 35
  • ⓒ ( − g ) 16 ( − g ) 16
  • ⓐ 1 ( −3 t ) 6 1 ( −3 t ) 6
  • ⓑ 1 f 3 1 f 3
  • ⓒ 2 5 k 3 2 5 k 3
  • ⓐ t −5 = 1 t 5 t −5 = 1 t 5
  • ⓑ 1 25 1 25
  • ⓐ g 10 h 15 g 10 h 15
  • ⓑ 125 t 3 125 t 3
  • ⓒ −27 y 15 −27 y 15
  • ⓓ 1 a 18 b 21 1 a 18 b 21
  • ⓔ r 12 s 8 r 12 s 8
  • ⓐ b 15 c 3 b 15 c 3
  • ⓑ 625 u 32 625 u 32
  • ⓒ −1 w 105 −1 w 105
  • ⓓ q 24 p 32 q 24 p 32
  • ⓔ 1 c 20 d 12 1 c 20 d 12
  • ⓐ v 6 8 u 3 v 6 8 u 3
  • ⓑ 1 x 3 1 x 3
  • ⓒ e 4 f 4 e 4 f 4
  • ⓓ 27 r s 27 r s
  • ⓕ 16 h 10 49 16 h 10 49
  • ⓐ $ 1.52 × 10 5 $ 1.52 × 10 5
  • ⓑ 7.158 × 10 9 7.158 × 10 9
  • ⓒ $ 8.55 × 10 13 $ 8.55 × 10 13
  • ⓓ 3.34 × 10 −9 3.34 × 10 −9
  • ⓔ 7.15 × 10 −8 7.15 × 10 −8
  • ⓐ 703 , 000 703 , 000
  • ⓑ −816 , 000 , 000 , 000 −816 , 000 , 000 , 000
  • ⓒ −0.000 000 000 000 39 −0.000 000 000 000 39
  • ⓓ 0.000008 0.000008
  • ⓐ − 8.475 × 10 6 − 8.475 × 10 6
  • ⓑ 8 × 10 − 8 8 × 10 − 8
  • ⓒ 2.976 × 10 13 2.976 × 10 13
  • ⓓ − 4.3 × 10 6 − 4.3 × 10 6
  • ⓔ ≈ 1.24 × 10 15 ≈ 1.24 × 10 15

Number of cells: 3 × 10 13 ; 3 × 10 13 ; length of a cell: 8 × 10 −6 8 × 10 −6 m; total length: 2.4 × 10 8 2.4 × 10 8 m or 240 , 000 , 000 240 , 000 , 000 m.

1.3 Radicals and Rational Exponents

5 | x | | y | 2 y z . 5 | x | | y | 2 y z . Notice the absolute value signs around x and y ? That’s because their value must be positive!

10 | x | 10 | x |

x 2 3 y 2 . x 2 3 y 2 . We do not need the absolute value signs for y 2 y 2 because that term will always be nonnegative.

b 4 3 a b b 4 3 a b

14 −7 3 14 −7 3

  • ⓒ 88 9 3 88 9 3

( 9 ) 5 = 3 5 = 243 ( 9 ) 5 = 3 5 = 243

x ( 5 y ) 9 2 x ( 5 y ) 9 2

28 x 23 15 28 x 23 15

1.4 Polynomials

The degree is 6, the leading term is − x 6 , − x 6 , and the leading coefficient is −1. −1.

2 x 3 + 7 x 2 −4 x −3 2 x 3 + 7 x 2 −4 x −3

−11 x 3 − x 2 + 7 x −9 −11 x 3 − x 2 + 7 x −9

3 x 4 −10 x 3 −8 x 2 + 21 x + 14 3 x 4 −10 x 3 −8 x 2 + 21 x + 14

3 x 2 + 16 x −35 3 x 2 + 16 x −35

16 x 2 −8 x + 1 16 x 2 −8 x + 1

4 x 2 −49 4 x 2 −49

6 x 2 + 21 x y −29 x −7 y + 9 6 x 2 + 21 x y −29 x −7 y + 9

1.5 Factoring Polynomials

( b 2 − a ) ( x + 6 ) ( b 2 − a ) ( x + 6 )

( x −6 ) ( x −1 ) ( x −6 ) ( x −1 )

  • ⓐ ( 2 x + 3 ) ( x + 3 ) ( 2 x + 3 ) ( x + 3 )
  • ⓑ ( 3 x −1 ) ( 2 x + 1 ) ( 3 x −1 ) ( 2 x + 1 )

( 7 x −1 ) 2 ( 7 x −1 ) 2

( 9 y + 10 ) ( 9 y − 10 ) ( 9 y + 10 ) ( 9 y − 10 )

( 6 a + b ) ( 36 a 2 −6 a b + b 2 ) ( 6 a + b ) ( 36 a 2 −6 a b + b 2 )

( 10 x − 1 ) ( 100 x 2 + 10 x + 1 ) ( 10 x − 1 ) ( 100 x 2 + 10 x + 1 )

( 5 a −1 ) − 1 4 ( 17 a −2 ) ( 5 a −1 ) − 1 4 ( 17 a −2 )

1.6 Rational Expressions

1 x + 6 1 x + 6

( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 ) ( x + 5 ) ( x + 6 ) ( x + 2 ) ( x + 4 )

2 ( x −7 ) ( x + 5 ) ( x −3 ) 2 ( x −7 ) ( x + 5 ) ( x −3 )

x 2 − y 2 x y 2 x 2 − y 2 x y 2

1.1 Section Exercises

irrational number. The square root of two does not terminate, and it does not repeat a pattern. It cannot be written as a quotient of two integers, so it is irrational.

The Associative Properties state that the sum or product of multiple numbers can be grouped differently without affecting the result. This is because the same operation is performed (either addition or subtraction), so the terms can be re-ordered.

−14 y − 11 −14 y − 11

−4 b + 1 −4 b + 1

43 z − 3 43 z − 3

9 y + 45 9 y + 45

−6 b + 6 −6 b + 6

16 x 3 16 x 3

1 2 ( 40 − 10 ) + 5 1 2 ( 40 − 10 ) + 5

irrational number

g + 400 − 2 ( 600 ) = 1200 g + 400 − 2 ( 600 ) = 1200

inverse property of addition

1.2 Section Exercises

No, the two expressions are not the same. An exponent tells how many times you multiply the base. So 2 3 2 3 is the same as 2 × 2 × 2 , 2 × 2 × 2 , which is 8. 3 2 3 2 is the same as 3 × 3 , 3 × 3 , which is 9.

It is a method of writing very small and very large numbers.

12 40 12 40

1 7 9 1 7 9

3.14 × 10 − 5 3.14 × 10 − 5

16,000,000,000

b 6 c 8 b 6 c 8

a b 2 d 3 a b 2 d 3

q 5 p 6 q 5 p 6

y 21 x 14 y 21 x 14

72 a 2 72 a 2

c 3 b 9 c 3 b 9

y 81 z 6 y 81 z 6

1.0995 × 10 12 1.0995 × 10 12

0.00000000003397 in.

12,230,590,464 m 66 m 66

a 14 1296 a 14 1296

n a 9 c n a 9 c

1 a 6 b 6 c 6 1 a 6 b 6 c 6

0.000000000000000000000000000000000662606957

1.3 Section Exercises

When there is no index, it is assumed to be 2 or the square root. The expression would only be equal to the radicand if the index were 1.

The principal square root is the nonnegative root of the number.

9 5 5 9 5 5

6 10 19 6 10 19

− 1 + 17 2 − 1 + 17 2

7 2 3 7 2 3

20 x 2 20 x 2

17 m 2 m 17 m 2 m

2 b a 2 b a

15 x 7 15 x 7

5 y 4 2 5 y 4 2

4 7 d 7 d 4 7 d 7 d

2 2 + 2 6 x 1 −3 x 2 2 + 2 6 x 1 −3 x

− w 2 w − w 2 w

3 x − 3 x 2 3 x − 3 x 2

5 n 5 5 5 n 5 5

9 m 19 m 9 m 19 m

2 3 d 2 3 d

3 2 x 2 4 2 3 2 x 2 4 2

6 z 2 3 6 z 2 3

−5 2 −6 7 −5 2 −6 7

m n c a 9 c m n m n c a 9 c m n

2 2 x + 2 4 2 2 x + 2 4

1.4 Section Exercises

The statement is true. In standard form, the polynomial with the highest value exponent is placed first and is the leading term. The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.

Use the distributive property, multiply, combine like terms, and simplify.

4 x 2 + 3 x + 19 4 x 2 + 3 x + 19

3 w 2 + 30 w + 21 3 w 2 + 30 w + 21

11 b 4 −9 b 3 + 12 b 2 −7 b + 8 11 b 4 −9 b 3 + 12 b 2 −7 b + 8

24 x 2 −4 x −8 24 x 2 −4 x −8

24 b 4 −48 b 2 + 24 24 b 4 −48 b 2 + 24

99 v 2 −202 v + 99 99 v 2 −202 v + 99

8 n 3 −4 n 2 + 72 n −36 8 n 3 −4 n 2 + 72 n −36

9 y 2 −42 y + 49 9 y 2 −42 y + 49

16 p 2 + 72 p + 81 16 p 2 + 72 p + 81

9 y 2 −36 y + 36 9 y 2 −36 y + 36

16 c 2 −1 16 c 2 −1

225 n 2 −36 225 n 2 −36

−16 m 2 + 16 −16 m 2 + 16

121 q 2 −100 121 q 2 −100

16 t 4 + 4 t 3 −32 t 2 − t + 7 16 t 4 + 4 t 3 −32 t 2 − t + 7

y 3 −6 y 2 − y + 18 y 3 −6 y 2 − y + 18

3 p 3 − p 2 −12 p + 10 3 p 3 − p 2 −12 p + 10

a 2 − b 2 a 2 − b 2

16 t 2 −40 t u + 25 u 2 16 t 2 −40 t u + 25 u 2

4 t 2 + x 2 + 4 t −5 t x − x 4 t 2 + x 2 + 4 t −5 t x − x

24 r 2 + 22 r d −7 d 2 24 r 2 + 22 r d −7 d 2

32 x 2 −4 x −3 32 x 2 −4 x −3 m 2

32 t 3 − 100 t 2 + 40 t + 38 32 t 3 − 100 t 2 + 40 t + 38

a 4 + 4 a 3 c −16 a c 3 −16 c 4 a 4 + 4 a 3 c −16 a c 3 −16 c 4

1.5 Section Exercises

The terms of a polynomial do not have to have a common factor for the entire polynomial to be factorable. For example, 4 x 2 4 x 2 and −9 y 2 −9 y 2 don’t have a common factor, but the whole polynomial is still factorable: 4 x 2 −9 y 2 = ( 2 x + 3 y ) ( 2 x −3 y ) . 4 x 2 −9 y 2 = ( 2 x + 3 y ) ( 2 x −3 y ) .

Divide the x x term into the sum of two terms, factor each portion of the expression separately, and then factor out the GCF of the entire expression.

10 m 3 10 m 3

( 2 a −3 ) ( a + 6 ) ( 2 a −3 ) ( a + 6 )

( 3 n −11 ) ( 2 n + 1 ) ( 3 n −11 ) ( 2 n + 1 )

( p + 1 ) ( 2 p −7 ) ( p + 1 ) ( 2 p −7 )

( 5 h + 3 ) ( 2 h −3 ) ( 5 h + 3 ) ( 2 h −3 )

( 9 d −1 ) ( d −8 ) ( 9 d −1 ) ( d −8 )

( 12 t + 13 ) ( t −1 ) ( 12 t + 13 ) ( t −1 )

( 4 x + 10 ) ( 4 x − 10 ) ( 4 x + 10 ) ( 4 x − 10 )

( 11 p + 13 ) ( 11 p − 13 ) ( 11 p + 13 ) ( 11 p − 13 )

( 19 d + 9 ) ( 19 d − 9 ) ( 19 d + 9 ) ( 19 d − 9 )

( 12 b + 5 c ) ( 12 b − 5 c ) ( 12 b + 5 c ) ( 12 b − 5 c )

( 7 n + 12 ) 2 ( 7 n + 12 ) 2

( 15 y + 4 ) 2 ( 15 y + 4 ) 2

( 5 p − 12 ) 2 ( 5 p − 12 ) 2

( x + 6 ) ( x 2 − 6 x + 36 ) ( x + 6 ) ( x 2 − 6 x + 36 )

( 5 a + 7 ) ( 25 a 2 − 35 a + 49 ) ( 5 a + 7 ) ( 25 a 2 − 35 a + 49 )

( 4 x − 5 ) ( 16 x 2 + 20 x + 25 ) ( 4 x − 5 ) ( 16 x 2 + 20 x + 25 )

( 5 r + 12 s ) ( 25 r 2 − 60 r s + 144 s 2 ) ( 5 r + 12 s ) ( 25 r 2 − 60 r s + 144 s 2 )

( 2 c + 3 ) − 1 4 ( −7 c − 15 ) ( 2 c + 3 ) − 1 4 ( −7 c − 15 )

( x + 2 ) − 2 5 ( 19 x + 10 ) ( x + 2 ) − 2 5 ( 19 x + 10 )

( 2 z − 9 ) − 3 2 ( 27 z − 99 ) ( 2 z − 9 ) − 3 2 ( 27 z − 99 )

( 14 x −3 ) ( 7 x + 9 ) ( 14 x −3 ) ( 7 x + 9 )

( 3 x + 5 ) ( 3 x −5 ) ( 3 x + 5 ) ( 3 x −5 )

( 2 x + 5 ) 2 ( 2 x − 5 ) 2 ( 2 x + 5 ) 2 ( 2 x − 5 ) 2

( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z − 7 a ) ( 4 z 2 + 49 a 2 ) ( 2 z + 7 a ) ( 2 z − 7 a )

1 ( 4 x + 9 ) ( 4 x −9 ) ( 2 x + 3 ) 1 ( 4 x + 9 ) ( 4 x −9 ) ( 2 x + 3 )

1.6 Section Exercises

You can factor the numerator and denominator to see if any of the terms can cancel one another out.

True. Multiplication and division do not require finding the LCD because the denominators can be combined through those operations, whereas addition and subtraction require like terms.

y + 5 y + 6 y + 5 y + 6

3 b + 3 3 b + 3

x + 4 2 x + 2 x + 4 2 x + 2

a + 3 a − 3 a + 3 a − 3

3 n − 8 7 n − 3 3 n − 8 7 n − 3

c − 6 c + 6 c − 6 c + 6

d 2 − 25 25 d 2 − 1 d 2 − 25 25 d 2 − 1

t + 5 t + 3 t + 5 t + 3

6 x − 5 6 x + 5 6 x − 5 6 x + 5

p + 6 4 p + 3 p + 6 4 p + 3

2 d + 9 d + 11 2 d + 9 d + 11

12 b + 5 3 b −1 12 b + 5 3 b −1

4 y −1 y + 4 4 y −1 y + 4

10 x + 4 y x y 10 x + 4 y x y

9 a − 7 a 2 − 2 a − 3 9 a − 7 a 2 − 2 a − 3

2 y 2 − y + 9 y 2 − y − 2 2 y 2 − y + 9 y 2 − y − 2

5 z 2 + z + 5 z 2 − z − 2 5 z 2 + z + 5 z 2 − z − 2

x + 2 x y + y x + x y + y + 1 x + 2 x y + y x + x y + y + 1

2 b + 7 a a b 2 2 b + 7 a a b 2

18 + a b 4 b 18 + a b 4 b

a − b a − b

3 c 2 + 3 c − 2 2 c 2 + 5 c + 2 3 c 2 + 3 c − 2 2 c 2 + 5 c + 2

15 x + 7 x −1 15 x + 7 x −1

x + 9 x −9 x + 9 x −9

1 y + 2 1 y + 2

Review Exercises

y = 24 y = 24

3 a 6 3 a 6

x 3 32 y 3 x 3 32 y 3

1.634 × 10 7 1.634 × 10 7

4 2 5 4 2 5

7 2 50 7 2 50

3 x 3 + 4 x 2 + 6 3 x 3 + 4 x 2 + 6

5 x 2 − x + 3 5 x 2 − x + 3

k 2 − 3 k − 18 k 2 − 3 k − 18

x 3 + x 2 + x + 1 x 3 + x 2 + x + 1

3 a 2 + 5 a b − 2 b 2 3 a 2 + 5 a b − 2 b 2

4 a 2 4 a 2

( 4 a − 3 ) ( 2 a + 9 ) ( 4 a − 3 ) ( 2 a + 9 )

( x + 5 ) 2 ( x + 5 ) 2

( 2 h − 3 k ) 2 ( 2 h − 3 k ) 2

( p + 6 ) ( p 2 − 6 p + 36 ) ( p + 6 ) ( p 2 − 6 p + 36 )

( 4 q − 3 p ) ( 16 q 2 + 12 p q + 9 p 2 ) ( 4 q − 3 p ) ( 16 q 2 + 12 p q + 9 p 2 )

( p + 3 ) 1 3 ( −5 p − 24 ) ( p + 3 ) 1 3 ( −5 p − 24 )

x + 3 x − 4 x + 3 x − 4

m + 2 m − 3 m + 2 m − 3

6 x + 10 y x y 6 x + 10 y x y

Practice Test

x = –2 x = –2

3 x 4 3 x 4

13 q 3 − 4 q 2 − 5 q 13 q 3 − 4 q 2 − 5 q

n 3 − 6 n 2 + 12 n − 8 n 3 − 6 n 2 + 12 n − 8

( 4 x + 9 ) ( 4 x − 9 ) ( 4 x + 9 ) ( 4 x − 9 )

( 3 c − 11 ) ( 9 c 2 + 33 c + 121 ) ( 3 c − 11 ) ( 9 c 2 + 33 c + 121 )

4 z − 3 2 z − 1 4 z − 3 2 z − 1

3 a + 2 b 3 b 3 a + 2 b 3 b

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  • Book title: College Algebra
  • Publication date: Feb 13, 2015
  • Location: Houston, Texas
  • Book URL: https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites
  • Section URL: https://openstax.org/books/college-algebra/pages/chapter-1

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Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)

Looking for video lessons that will help you in your Common Core Grade 5 Math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 5 students?

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.

Related Pages Common Core Math Resources, Lesson Plans And Worksheets Common Core Math Video Lessons, Math Worksheets and Games for Grade 5 Common Core Math Video Lessons, Math Worksheets and Games for all grades

Grade 5 Homework, Lesson Plans And Worksheets

Module 1 Topics and Objectives

Standard: 5.NBT.1, 5.NBT.2, 5.MD.1
Days: 4





: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. ( )

: Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths. ( )

: Use exponents to name place value units and explain patterns in the placement of the decimal point. ( )

: Use exponents to denote powers of 10 with application to metric conversions. ( )

Standard: 5.NBT.3
Days: 2



: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. ( )

: Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =. ( )

Standard: 5.NBT.4
Days: 2



, : Round a given decimal to any place using place value understanding and the vertical number line. ( ) ( )
: Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day)

Standard: 5.NBT.2, 5.NBT.3, 5.NBT.7
Days: 2



: Add decimals using place value strategies and relate those strategies to a written method. ( )

: Subtract decimals using place value strategies and relate those strategies to a written method. ( )

Standard: 5.NBT.1, 5.NBT.3, 5.NBT.7
Days: 2



: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used. ( )

: Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point. ( )

Standard: 5.NBT.3, 5.NBT.7
Days: 4



: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. ( )

: Divide decimals with a remainder using place value understanding and relate to a written method. ( )

: Divide decimals using place value understanding including remainders in the smallest unit. ( )

: Solve word problems using decimal operations. ( )
: Topics A-F (assessment ½ day, return ½ day, remediation or further applications 1 day)
Module 2 Topics and Objectives

Standard: 5.NBT.1, 5.NBT.2, 5.OA.1
Days: 2





: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. ( )

: Estimate multi-digit products by rounding factors to a basic fact and using place value patterns. ( )

Standard: 5.OA.1, 5.OA.2, 5.NBT.5
Days: 7



: Write and interpret numerical expressions and compare expressions using a visual model. ( )

: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. ( )

: Connect visual models and the distributive property to partial products of the standard algorithm without renaming. ( )

:Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. ( )

: Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming. ( )

: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. ( )

: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. ( )

Standard: 5.NBT.7, 5.OA.1, 5.OA.2, 5.NBT.1
Days: 3



: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. ( )

: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal. ( )

: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation. ( )

Standard: 5.NBT.7, 5.NBT.7, 5.MD.1
Days: 3



: Use whole number multiplication to express equivalent measurements. ( )

: Use decimal multiplication to express equivalent measurements. ( )

: Solve two-step word problems involving measurement and multi-digit multiplication. ( )
: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 2 days)

Standard: 5.NBT.1, 5.NBT.2, 5.NBT.6
Days: 3



: Use patterns for multi-digit whole number division. ( )

, : Use basic facts to approximate quotients with two-digit divisors. ( ) ( )

Standard: 5.NBT.6
Days: 5



: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method. ( )

: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( )

: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( )

, : Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. ( ) ( )

Standard: 5.NBT.2, 5.NBT.7
Days: 4



: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. ( )

: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. ( )

, : Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. ( ) ( )

Standard: 5.NBT.6, 5.NBT.7
Days: 2



, : Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. ( ) ( )
: Topics A-H (assessment ½ day, return ½ day, remediation or further application 2 days)
Module 3 Topics and Objectives

Standard: 5.NF.1, 5.NF.3
Days: 2





: Make equivalent fractions with the number line, the area model, and numbers. ( )

: Make equivalent fractions with sums of fractions with like denominators. ( )

Standard: 5.NF.1, 5.NF.2
Days: 5



: Add fractions with unlike units using the strategy of creating equivalent fractions. ( )

: Add fractions with sums between 1 and 2. ( )

: Subtract fractions with unlike units using the strategy of creating equivalent fractions. ( )

: Subtract fractions from numbers between 1 and 2. ( )

: Solve two-step word problems. ( )
: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 2 day)

Standard: 5.NF.1, 5.NF.2
Days: 5



: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. ( )

: Add fractions making like units numerically. ( )

: Add fractions with sums greater than 2. ( )

: Subtract fractions making like units numerically. ( )

: Subtract fractions greater than or equal to one ( )

Standard: 5.NF.1, 5.NF.2
Days: 4



: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations. ( )

: Strategize to solve multi-term problems. ( )

: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers. ( )

: Explore part to whole relationships. ( )
: Topics C-D (assessment ½ day, return ½ day, remediation or further applications 2 day)
Module 4 Topics and Objectives

Standard: 5.MD.2
Days: 1





: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots. ( )

Standard: 5.NF.3
Days: 4



, : Interpret a fraction as division. ( )( )

: Use tape diagrams to model fractions as division. ( )

: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. ( )


Standard: 5.NF.4a
Days: 4



: Relate fractions as division to fraction of a set. ( )

: Multiply any whole number by a fraction using tape diagrams. ( )

: Relate fraction of a set to the repeated addition interpretation of fraction multiplication. ( )

: Find a fraction of a measurement, and solve word problems. ( )

Standard: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6
Days: 3



: Compare and evaluate expressions with parentheses. ( )

, : Solve and create fraction word problems involving addition, subtraction, and multiplication. ( )
: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day)

Standard: 5.NBT.7, 5.NBT.4a, 5.NF.6, 5.MD.1
Days: 8



: Multiply unit fractions by unit fractions. (

: Multiply unit fractions by non-unit fractions. ( )

: Multiply non-unit fractions by non-unit fractions. ( )

: Solve word problems using tape diagrams and fraction-by-fraction multiplication. ( )

, : Relate decimal and fraction multiplication. ( )

: Convert measures involving whole numbers, and solve multi-step word problems. ( )

: Convert mixed unit measurements, and solve multi-step word problems. ( )

Standard: 5.NF.5, 5.NF.6
Days: 4



: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. ( )

, : Compare the size of the product to the size of the factors. ( )

: Solve word problems using fraction and decimal multiplication. ( )

Standard: 5.OA.1, 5.NBT.7, 5.NF.7
Days: 7



: Divide a whole number by a unit fraction. ( )

: Divide a unit fraction by a whole number. ( )

: Solve problems involving fraction division. ( )

: Write equations and word problems corresponding to tape and number line diagrams. ( )

: Connect division by a unit fraction to division by 1 tenth and 1 hundredth. ( )

, : Divide decimal dividends by non-unit decimal divisors. ( )( )

Standard: 5.OA.1, 5.OA.2
Days: 2



: Interpret and evaluate numerical expressions including the language of scaling and fraction division. ( )

: Create story contexts for numerical expressions and tape diagrams, and solve word problems. ( )
: Topics A-H (assessment ½ day, return ½ day, remediation or further applications 2 days)
Module 5 Topics and Objectives

Standard: 5.MD.3, 5.MD.4
Days: 3





: Explore volume by building with and counting unit cubes. ( )

: Find the volume of a right rectangular prism by packing with cubic units and counting.( )

: Compose and decompose right rectangular prisms using layers. ( )

Standard: 5.MD.3, 5.MD.5
Days: 6



: Use multiplication to calculate volume. ( )

: Use multiplication to connect volume as with volume as . ( )

: Find the total volume of solid figures composed of two non-overlapping rectangular prisms. ( )

: Solve word problems involving the volume of rectangular prisms with whole number edge lengths. ( )

, : Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. ( )
: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day)

Standard: 5.NF.4b, 5.NF.6
Days: 6



: Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. ( )

: Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. ( )

: Measure to find the area of rectangles with fractional side lengths. ( )

: Multiply mixed number factors, and relate to the distributive property and the area model. ( )

, : Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations. ( ) ( )

Standard: 5.G.3, 5.G.4
Days: 6



: Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. ( )

: Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes. ( )

: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes. ( )

: Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes. ( )

: Classify two-dimensional figures in a hierarchy based on properties. ( )

: Draw and identify varied two-dimensional figures from given attributes. ( )
: Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day)
Module 6 Topics and Objectives

Standard: 5.G.1
Days: 6





: Construct a coordinate system on a line. ( )

: Construct a coordinate system on a plane. ( )

, : Name points using coordinate pairs, and use the coordinate pairs to plot points. ( )

, : Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes. ( )( )

Standard: 5.OA.2, 5.OA.3, 5.G.1
Days: 6



: Plot points, use them to draw lines in the plane, and describe patterns within the coordinate pairs. ( )

: Generate a number pattern from a given rule, and plot the points. ( )

: Generate two number patterns from given rules, plot the points, and analyze the patterns. ( )

: Compare the lines and patterns generated by addition rules and multiplication rules. ( )

: Analyze number patterns created from mixed operations. ( )

: Create a rule to generate a number pattern, and plot the points.( )
: Topics A-B (assessment 1 day, return 1 day, remediation or further applications 1 day)

Standard: 5.G.1, 5.G.2
Days: 5



: Construct parallel line segments on a rectangular grid. ( )

: Construct parallel line segments, and analyze relationships of the coordinate pairs. ( )

: Construct perpendicular line segments on a rectangular grid. ( )

: Construct perpendicular line segments, and analyze relationships of the coordinate pairs. ( )

: Draw symmetric figures using distance and angle measure from the line of symmetry. ( )

Standard: 5.OA.3, 5.G.2
Days: 3



: Draw symmetric figures on the coordinate plane. ( )

: Plot data on line graphs and analyze trends.( )

: Use coordinate systems to solve real world problems. ( )
: Topics A-D (assessment 1 day, return 1 day, remediation or further applications 1 day)

Standard: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7c, 5.MD.1, 5.MD.5, 5.G.2
Days: 5



, , , , : Make sense of complex, multi-step problems and persevere in solving them. Share and critique peer solutions. ( )

Days: 9



, : Solidify writing and interpreting numerical expressions. ( )

: Solidify fluency with Grade 5 skills.

, : Solidify the vocabulary of geometry. ( )

: Explore the Fibonacci sequence.

: Explore patterns in saving money. ( )

, : Design and construct boxes to house materials for summer use. ( )

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How to Do Homework: 15 Expert Tips and Tricks

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Everyone struggles with homework sometimes, but if getting your homework done has become a chronic issue for you, then you may need a little extra help. That’s why we’ve written this article all about how to do homework. Once you’re finished reading it, you’ll know how to do homework (and have tons of new ways to motivate yourself to do homework)!

We’ve broken this article down into a few major sections. You’ll find:

  • A diagnostic test to help you figure out why you’re struggling with homework
  • A discussion of the four major homework problems students face, along with expert tips for addressing them
  • A bonus section with tips for how to do homework fast

By the end of this article, you’ll be prepared to tackle whatever homework assignments your teachers throw at you .

So let’s get started!

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How to Do Homework: Figure Out Your Struggles 

Sometimes it feels like everything is standing between you and getting your homework done. But the truth is, most people only have one or two major roadblocks that are keeping them from getting their homework done well and on time. 

The best way to figure out how to get motivated to do homework starts with pinpointing the issues that are affecting your ability to get your assignments done. That’s why we’ve developed a short quiz to help you identify the areas where you’re struggling. 

Take the quiz below and record your answers on your phone or on a scrap piece of paper. Keep in mind there are no wrong answers! 

1. You’ve just been assigned an essay in your English class that’s due at the end of the week. What’s the first thing you do?

A. Keep it in mind, even though you won’t start it until the day before it’s due  B. Open up your planner. You’ve got to figure out when you’ll write your paper since you have band practice, a speech tournament, and your little sister’s dance recital this week, too.  C. Groan out loud. Another essay? You could barely get yourself to write the last one!  D. Start thinking about your essay topic, which makes you think about your art project that’s due the same day, which reminds you that your favorite artist might have just posted to Instagram...so you better check your feed right now. 

2. Your mom asked you to pick up your room before she gets home from work. You’ve just gotten home from school. You decide you’ll tackle your chores: 

A. Five minutes before your mom walks through the front door. As long as it gets done, who cares when you start?  B. As soon as you get home from your shift at the local grocery store.  C. After you give yourself a 15-minute pep talk about how you need to get to work.  D. You won’t get it done. Between texts from your friends, trying to watch your favorite Netflix show, and playing with your dog, you just lost track of time! 

3. You’ve signed up to wash dogs at the Humane Society to help earn money for your senior class trip. You: 

A. Show up ten minutes late. You put off leaving your house until the last minute, then got stuck in unexpected traffic on the way to the shelter.  B. Have to call and cancel at the last minute. You forgot you’d already agreed to babysit your cousin and bake cupcakes for tomorrow’s bake sale.  C. Actually arrive fifteen minutes early with extra brushes and bandanas you picked up at the store. You’re passionate about animals, so you’re excited to help out! D. Show up on time, but only get three dogs washed. You couldn’t help it: you just kept getting distracted by how cute they were!

4. You have an hour of downtime, so you decide you’re going to watch an episode of The Great British Baking Show. You: 

A. Scroll through your social media feeds for twenty minutes before hitting play, which means you’re not able to finish the whole episode. Ugh! You really wanted to see who was sent home!  B. Watch fifteen minutes until you remember you’re supposed to pick up your sister from band practice before heading to your part-time job. No GBBO for you!  C. You finish one episode, then decide to watch another even though you’ve got SAT studying to do. It’s just more fun to watch people make scones.  D. Start the episode, but only catch bits and pieces of it because you’re reading Twitter, cleaning out your backpack, and eating a snack at the same time.

5. Your teacher asks you to stay after class because you’ve missed turning in two homework assignments in a row. When she asks you what’s wrong, you say: 

A. You planned to do your assignments during lunch, but you ran out of time. You decided it would be better to turn in nothing at all than submit unfinished work.  B. You really wanted to get the assignments done, but between your extracurriculars, family commitments, and your part-time job, your homework fell through the cracks.  C. You have a hard time psyching yourself to tackle the assignments. You just can’t seem to find the motivation to work on them once you get home.  D. You tried to do them, but you had a hard time focusing. By the time you realized you hadn’t gotten anything done, it was already time to turn them in. 

Like we said earlier, there are no right or wrong answers to this quiz (though your results will be better if you answered as honestly as possible). Here’s how your answers break down: 

  • If your answers were mostly As, then your biggest struggle with doing homework is procrastination. 
  • If your answers were mostly Bs, then your biggest struggle with doing homework is time management. 
  • If your answers were mostly Cs, then your biggest struggle with doing homework is motivation. 
  • If your answers were mostly Ds, then your biggest struggle with doing homework is getting distracted. 

Now that you’ve identified why you’re having a hard time getting your homework done, we can help you figure out how to fix it! Scroll down to find your core problem area to learn more about how you can start to address it. 

And one more thing: you’re really struggling with homework, it’s a good idea to read through every section below. You may find some additional tips that will help make homework less intimidating. 

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How to Do Homework When You’re a Procrastinator  

Merriam Webster defines “procrastinate” as “to put off intentionally and habitually.” In other words, procrastination is when you choose to do something at the last minute on a regular basis. If you’ve ever found yourself pulling an all-nighter, trying to finish an assignment between periods, or sprinting to turn in a paper minutes before a deadline, you’ve experienced the effects of procrastination. 

If you’re a chronic procrastinator, you’re in good company. In fact, one study found that 70% to 95% of undergraduate students procrastinate when it comes to doing their homework. Unfortunately, procrastination can negatively impact your grades. Researchers have found that procrastination can lower your grade on an assignment by as much as five points ...which might not sound serious until you realize that can mean the difference between a B- and a C+. 

Procrastination can also negatively affect your health by increasing your stress levels , which can lead to other health conditions like insomnia, a weakened immune system, and even heart conditions. Getting a handle on procrastination can not only improve your grades, it can make you feel better, too! 

The big thing to understand about procrastination is that it’s not the result of laziness. Laziness is defined as being “disinclined to activity or exertion.” In other words, being lazy is all about doing nothing. But a s this Psychology Today article explains , procrastinators don’t put things off because they don’t want to work. Instead, procrastinators tend to postpone tasks they don’t want to do in favor of tasks that they perceive as either more important or more fun. Put another way, procrastinators want to do things...as long as it’s not their homework! 

3 Tips f or Conquering Procrastination 

Because putting off doing homework is a common problem, there are lots of good tactics for addressing procrastination. Keep reading for our three expert tips that will get your homework habits back on track in no time. 

#1: Create a Reward System

Like we mentioned earlier, procrastination happens when you prioritize other activities over getting your homework done. Many times, this happens because homework...well, just isn’t enjoyable. But you can add some fun back into the process by rewarding yourself for getting your work done. 

Here’s what we mean: let’s say you decide that every time you get your homework done before the day it’s due, you’ll give yourself a point. For every five points you earn, you’ll treat yourself to your favorite dessert: a chocolate cupcake! Now you have an extra (delicious!) incentive to motivate you to leave procrastination in the dust. 

If you’re not into cupcakes, don’t worry. Your reward can be anything that motivates you . Maybe it’s hanging out with your best friend or an extra ten minutes of video game time. As long as you’re choosing something that makes homework worth doing, you’ll be successful. 

#2: Have a Homework Accountability Partner 

If you’re having trouble getting yourself to start your homework ahead of time, it may be a good idea to call in reinforcements . Find a friend or classmate you can trust and explain to them that you’re trying to change your homework habits. Ask them if they’d be willing to text you to make sure you’re doing your homework and check in with you once a week to see if you’re meeting your anti-procrastination goals. 

Sharing your goals can make them feel more real, and an accountability partner can help hold you responsible for your decisions. For example, let’s say you’re tempted to put off your science lab write-up until the morning before it’s due. But you know that your accountability partner is going to text you about it tomorrow...and you don’t want to fess up that you haven’t started your assignment. A homework accountability partner can give you the extra support and incentive you need to keep your homework habits on track. 

#3: Create Your Own Due Dates 

If you’re a life-long procrastinator, you might find that changing the habit is harder than you expected. In that case, you might try using procrastination to your advantage! If you just can’t seem to stop doing your work at the last minute, try setting your own due dates for assignments that range from a day to a week before the assignment is actually due. 

Here’s what we mean. Let’s say you have a math worksheet that’s been assigned on Tuesday and is due on Friday. In your planner, you can write down the due date as Thursday instead. You may still put off your homework assignment until the last minute...but in this case, the “last minute” is a day before the assignment’s real due date . This little hack can trick your procrastination-addicted brain into planning ahead! 

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If you feel like Kevin Hart in this meme, then our tips for doing homework when you're busy are for you. 

How to Do Homework When You’re too Busy

If you’re aiming to go to a top-tier college , you’re going to have a full plate. Because college admissions is getting more competitive, it’s important that you’re maintaining your grades , studying hard for your standardized tests , and participating in extracurriculars so your application stands out. A packed schedule can get even more hectic once you add family obligations or a part-time job to the mix. 

If you feel like you’re being pulled in a million directions at once, you’re not alone. Recent research has found that stress—and more severe stress-related conditions like anxiety and depression— are a major problem for high school students . In fact, one study from the American Psychological Association found that during the school year, students’ stress levels are higher than those of the adults around them. 

For students, homework is a major contributor to their overall stress levels . Many high schoolers have multiple hours of homework every night , and figuring out how to fit it into an already-packed schedule can seem impossible. 

3 Tips for Fitting Homework Into Your Busy Schedule

While it might feel like you have literally no time left in your schedule, there are still ways to make sure you’re able to get your homework done and meet your other commitments. Here are our expert homework tips for even the busiest of students. 

#1: Make a Prioritized To-Do List 

You probably already have a to-do list to keep yourself on track. The next step is to prioritize the items on your to-do list so you can see what items need your attention right away. 

Here’s how it works: at the beginning of each day, sit down and make a list of all the items you need to get done before you go to bed. This includes your homework, but it should also take into account any practices, chores, events, or job shifts you may have. Once you get everything listed out, it’s time to prioritize them using the labels A, B, and C. Here’s what those labels mean:

  • A Tasks : tasks that have to get done—like showing up at work or turning in an assignment—get an A. 
  • B Tasks : these are tasks that you would like to get done by the end of the day but aren’t as time sensitive. For example, studying for a test you have next week could be a B-level task. It’s still important, but it doesn’t have to be done right away.
  • C Tasks: these are tasks that aren’t very important and/or have no real consequences if you don’t get them done immediately. For instance, if you’re hoping to clean out your closet but it’s not an assigned chore from your parents, you could label that to-do item with a C.

Prioritizing your to-do list helps you visualize which items need your immediate attention, and which items you can leave for later. A prioritized to-do list ensures that you’re spending your time efficiently and effectively, which helps you make room in your schedule for homework. So even though you might really want to start making decorations for Homecoming (a B task), you’ll know that finishing your reading log (an A task) is more important. 

#2: Use a Planner With Time Labels

Your planner is probably packed with notes, events, and assignments already. (And if you’re not using a planner, it’s time to start!) But planners can do more for you than just remind you when an assignment is due. If you’re using a planner with time labels, it can help you visualize how you need to spend your day.

A planner with time labels breaks your day down into chunks, and you assign tasks to each chunk of time. For example, you can make a note of your class schedule with assignments, block out time to study, and make sure you know when you need to be at practice. Once you know which tasks take priority, you can add them to any empty spaces in your day. 

Planning out how you spend your time not only helps you use it wisely, it can help you feel less overwhelmed, too . We’re big fans of planners that include a task list ( like this one ) or have room for notes ( like this one ). 

#3: Set Reminders on Your Phone 

If you need a little extra nudge to make sure you’re getting your homework done on time, it’s a good idea to set some reminders on your phone. You don’t need a fancy app, either. You can use your alarm app to have it go off at specific times throughout the day to remind you to do your homework. This works especially well if you have a set homework time scheduled. So if you’ve decided you’re doing homework at 6:00 pm, you can set an alarm to remind you to bust out your books and get to work. 

If you use your phone as your planner, you may have the option to add alerts, emails, or notifications to scheduled events . Many calendar apps, including the one that comes with your phone, have built-in reminders that you can customize to meet your needs. So if you block off time to do your homework from 4:30 to 6:00 pm, you can set a reminder that will pop up on your phone when it’s time to get started. 

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This dog isn't judging your lack of motivation...but your teacher might. Keep reading for tips to help you motivate yourself to do your homework.

How to Do Homework When You’re Unmotivated 

At first glance, it may seem like procrastination and being unmotivated are the same thing. After all, both of these issues usually result in you putting off your homework until the very last minute. 

But there’s one key difference: many procrastinators are working, they’re just prioritizing work differently. They know they’re going to start their homework...they’re just going to do it later. 

Conversely, people who are unmotivated to do homework just can’t find the willpower to tackle their assignments. Procrastinators know they’ll at least attempt the homework at the last minute, whereas people who are unmotivated struggle with convincing themselves to do it at a ll. For procrastinators, the stress comes from the inevitable time crunch. For unmotivated people, the stress comes from trying to convince themselves to do something they don’t want to do in the first place. 

Here are some common reasons students are unmotivated in doing homework : 

  • Assignments are too easy, too hard, or seemingly pointless 
  • Students aren’t interested in (or passionate about) the subject matter
  • Students are intimidated by the work and/or feels like they don’t understand the assignment 
  • Homework isn’t fun, and students would rather spend their time on things that they enjoy 

To sum it up: people who lack motivation to do their homework are more likely to not do it at all, or to spend more time worrying about doing their homework than...well, actually doing it.

3 Tips for How to Get Motivated to Do Homework

The key to getting homework done when you’re unmotivated is to figure out what does motivate you, then apply those things to homework. It sounds tricky...but it’s pretty simple once you get the hang of it! Here are our three expert tips for motivating yourself to do your homework. 

#1: Use Incremental Incentives

When you’re not motivated, it’s important to give yourself small rewards to stay focused on finishing the task at hand. The trick is to keep the incentives small and to reward yourself often. For example, maybe you’re reading a good book in your free time. For every ten minutes you spend on your homework, you get to read five pages of your book. Like we mentioned earlier, make sure you’re choosing a reward that works for you! 

So why does this technique work? Using small rewards more often allows you to experience small wins for getting your work done. Every time you make it to one of your tiny reward points, you get to celebrate your success, which gives your brain a boost of dopamine . Dopamine helps you stay motivated and also creates a feeling of satisfaction when you complete your homework !  

#2: Form a Homework Group 

If you’re having trouble motivating yourself, it’s okay to turn to others for support. Creating a homework group can help with this. Bring together a group of your friends or classmates, and pick one time a week where you meet and work on homework together. You don’t have to be in the same class, or even taking the same subjects— the goal is to encourage one another to start (and finish!) your assignments. 

Another added benefit of a homework group is that you can help one another if you’re struggling to understand the material covered in your classes. This is especially helpful if your lack of motivation comes from being intimidated by your assignments. Asking your friends for help may feel less scary than talking to your teacher...and once you get a handle on the material, your homework may become less frightening, too. 

#3: Change Up Your Environment 

If you find that you’re totally unmotivated, it may help if you find a new place to do your homework. For example, if you’ve been struggling to get your homework done at home, try spending an extra hour in the library after school instead. The change of scenery can limit your distractions and give you the energy you need to get your work done. 

If you’re stuck doing homework at home, you can still use this tip. For instance, maybe you’ve always done your homework sitting on your bed. Try relocating somewhere else, like your kitchen table, for a few weeks. You may find that setting up a new “homework spot” in your house gives you a motivational lift and helps you get your work done. 

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Social media can be a huge problem when it comes to doing homework. We have advice for helping you unplug and regain focus.

How to Do Homework When You’re Easily Distracted

We live in an always-on world, and there are tons of things clamoring for our attention. From friends and family to pop culture and social media, it seems like there’s always something (or someone!) distracting us from the things we need to do.

The 24/7 world we live in has affected our ability to focus on tasks for prolonged periods of time. Research has shown that over the past decade, an average person’s attention span has gone from 12 seconds to eight seconds . And when we do lose focus, i t takes people a long time to get back on task . One study found that it can take as long as 23 minutes to get back to work once we’ve been distracte d. No wonder it can take hours to get your homework done! 

3 Tips to Improve Your Focus

If you have a hard time focusing when you’re doing your homework, it’s a good idea to try and eliminate as many distractions as possible. Here are three expert tips for blocking out the noise so you can focus on getting your homework done. 

#1: Create a Distraction-Free Environment

Pick a place where you’ll do your homework every day, and make it as distraction-free as possible. Try to find a location where there won’t be tons of noise, and limit your access to screens while you’re doing your homework. Put together a focus-oriented playlist (or choose one on your favorite streaming service), and put your headphones on while you work. 

You may find that other people, like your friends and family, are your biggest distraction. If that’s the case, try setting up some homework boundaries. Let them know when you’ll be working on homework every day, and ask them if they’ll help you keep a quiet environment. They’ll be happy to lend a hand! 

#2: Limit Your Access to Technology 

We know, we know...this tip isn’t fun, but it does work. For homework that doesn’t require a computer, like handouts or worksheets, it’s best to put all your technology away . Turn off your television, put your phone and laptop in your backpack, and silence notifications on any wearable tech you may be sporting. If you listen to music while you work, that’s fine...but make sure you have a playlist set up so you’re not shuffling through songs once you get started on your homework. 

If your homework requires your laptop or tablet, it can be harder to limit your access to distractions. But it’s not impossible! T here are apps you can download that will block certain websites while you’re working so that you’re not tempted to scroll through Twitter or check your Facebook feed. Silence notifications and text messages on your computer, and don’t open your email account unless you absolutely have to. And if you don’t need access to the internet to complete your assignments, turn off your WiFi. Cutting out the online chatter is a great way to make sure you’re getting your homework done. 

#3: Set a Timer (the Pomodoro Technique)

Have you ever heard of the Pomodoro technique ? It’s a productivity hack that uses a timer to help you focus!

Here’s how it works: first, set a timer for 25 minutes. This is going to be your work time. During this 25 minutes, all you can do is work on whatever homework assignment you have in front of you. No email, no text messaging, no phone calls—just homework. When that timer goes off, you get to take a 5 minute break. Every time you go through one of these cycles, it’s called a “pomodoro.” For every four pomodoros you complete, you can take a longer break of 15 to 30 minutes.

The pomodoro technique works through a combination of boundary setting and rewards. First, it gives you a finite amount of time to focus, so you know that you only have to work really hard for 25 minutes. Once you’ve done that, you’re rewarded with a short break where you can do whatever you want. Additionally, tracking how many pomodoros you complete can help you see how long you’re really working on your homework. (Once you start using our focus tips, you may find it doesn’t take as long as you thought!)

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Two Bonus Tips for How to Do Homework Fast

Even if you’re doing everything right, there will be times when you just need to get your homework done as fast as possible. (Why do teachers always have projects due in the same week? The world may never know.)

The problem with speeding through homework is that it’s easy to make mistakes. While turning in an assignment is always better than not submitting anything at all, you want to make sure that you’re not compromising quality for speed. Simply put, the goal is to get your homework done quickly and still make a good grade on the assignment! 

Here are our two bonus tips for getting a decent grade on your homework assignments , even when you’re in a time crunch. 

#1: Do the Easy Parts First 

This is especially true if you’re working on a handout with multiple questions. Before you start working on the assignment, read through all the questions and problems. As you do, make a mark beside the questions you think are “easy” to answer . 

Once you’ve finished going through the whole assignment, you can answer these questions first. Getting the easy questions out of the way as quickly as possible lets you spend more time on the trickier portions of your homework, which will maximize your assignment grade. 

(Quick note: this is also a good strategy to use on timed assignments and tests, like the SAT and the ACT !) 

#2: Pay Attention in Class 

Homework gets a lot easier when you’re actively learning the material. Teachers aren’t giving you homework because they’re mean or trying to ruin your weekend... it’s because they want you to really understand the course material. Homework is designed to reinforce what you’re already learning in class so you’ll be ready to tackle harder concepts later.

When you pay attention in class, ask questions, and take good notes, you’re absorbing the information you’ll need to succeed on your homework assignments. (You’re stuck in class anyway, so you might as well make the most of it!) Not only will paying attention in class make your homework less confusing, it will also help it go much faster, too.

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What’s Next?

If you’re looking to improve your productivity beyond homework, a good place to begin is with time management. After all, we only have so much time in a day...so it’s important to get the most out of it! To get you started, check out this list of the 12 best time management techniques that you can start using today.

You may have read this article because homework struggles have been affecting your GPA. Now that you’re on the path to homework success, it’s time to start being proactive about raising your grades. This article teaches you everything you need to know about raising your GPA so you can

Now you know how to get motivated to do homework...but what about your study habits? Studying is just as critical to getting good grades, and ultimately getting into a good college . We can teach you how to study bette r in high school. (We’ve also got tons of resources to help you study for your ACT and SAT exams , too!)

These recommendations are based solely on our knowledge and experience. If you purchase an item through one of our links, PrepScholar may receive a commission.

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South Carolina considers its energy future through state Senate committee

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Dominion Energy South Carolina President Keller Kissam, left , and Duke Energy’s utility operations in South Carolina President Mike Callahan, speak before testifying before a South Carolina Senate committee planning to write a comprehensive energy bill in 2025 in Columbia, S.C., on Thursday, Aug. 22 2024. (AP Photo/Jeffrey Collins)

South Carolina Senate President Thomas Alexander, R-Walhalla, left; Senate Majority Leader Shane Massey, R-Edgefield, center; and Sen. Nikki Setlzer, D- West Columbia, right, speak before a South Carolina Senate committee planning to write a comprehensive energy bill in 2025 in Columbia, S.C., on Thursday, Aug. 22 2024. (AP Photo/Jeffrey Collins)

Santee Cooper CEO Jimmy Staton, left, Dominion Energy South Carolina President Keller Kissam, center, and Duke Energy’s utility operations in South Carolina President Mike Callahan, right, are sworn in before testifying before a South Carolina Senate committee planning to write a comprehensive energy bill in 2025. in Columbia, S.C., on Thursday, Aug. 22 2024. (AP Photo/Jeffrey Collins)

Santee Cooper CEO Jimmy Staton, left, Dominion Energy South Carolina President Keller Kissam, center, and Duke Energy’s utility operations in South Carolina President Mike Callahan, right, wait to testify before a South Carolina Senate committee planning to write a comprehensive energy bill in 2025 in Columbia, S.C., on Thursday, Aug. 22 2024. (AP Photo/Jeffrey Collins)

Duke Energy’s utility operations in South Carolina President Mike Callahan waits to testify before a South Carolina Senate committee planning to write a comprehensive energy bill in 2025 in Columbia, S.C., on Thursday, Aug. 22 2024. (AP Photo/Jeffrey Collins)

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COLUMBIA, S.C. (AP) — The South Carolina Senate on Thursday started its homework assignment of coming up with a comprehensive bill to guide energy policy in a rapidly growing state and amid a quickly changing power- generation world.

The Special Committee on South Carolina’s Energy Future plans several meetings through October. On Thursday, the committee heard from the leaders of the state’s three major utilities. Future meetings will bring in regular ratepayers, environmentalists, business leaders and experts on the latest technology to make electricity,

The Senate took this task upon itself. They put the brakes a massive 80-plus page energy overhaul bill that passed the House in March in less than six weeks, and the bill died at the end of the session.

Many senators said the process earlier this year was rushed . They remembered the last time they trusted an overhaul bill backed by utilities.

State-owned Santee Cooper and private South Carolina Electric & Gas used those rules passed 15 years ago to put ratepayers on the hook for billions of dollars spent on two new nuclear reactors that never generated a watt of power before construction was abandoned because of rising costs.

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But those dire memories are being mixed with dire predictions of a state running out of power.

Unusually cold weather on Christmas Eve 2022 along with problems at a generating facility nearly led to rolling blackouts in South Carolina. Demand from advanced manufacturing and data centers is rising. If electric cars grow in popularity, more power is needed. And a state that added 1.3 million people since 2000 has a lot more air conditioners, washing machines and charges for devices, the utility leaders said.

Senators stopped Duke Energy’s president in South Carolina, Mike Callahan, in middle of his presentation after he told them his utility’s most recent predictions for growth in electricity usage over the rest of this decade were eight times more than they were just two years ago.

“Growth is here, and much more is coming. We need clear energy policy to plan for that growth,” Callahan said,

The utility leaders told senators their companies need to know what kind of sources of power — natural gas, solar, nuclear, wind or others — the state wants to emphasize. They would like to have a stable rules from regulators on how they operate.

“A quick no is a lot better to us than a long-term maybe,” Santee Cooper CEO Jimmy Staton said.

Another complicating factor are federal rules that may require utilities to shut down power plants that use coal before there are replacements with different sources online, Staton said.

Others aren’t so sure the state needs a rapid increase in power generation. Environmentalists have suggested the 2022 problems that led to blackouts were made worse because power plants were nowhere near capacity and better cooperation in the grid would allow electricity to get to where its needed easier.

Those less bullish on the overhaul also are urging the state not to lock in on one source of power over another because technology could leave South Carolina with too much power generation in inefficient ways.

There will likely be plenty of discussion of data centers that use a lot of electricity without the number of jobs, property taxes or other benefits a manufacturer provides.

Staton estimated about 70% of Santee Cooper’s increased demand is from data centers.

“We clearly need them. I don’t want to go back in time,” committee chairman Republican Senate Majority Leader Shane Massey said. “What I’m trying to get at is a better understanding, a better handle on how much of the projected growth is based on data centers or on everything else.”

Massey has been hard on Dominion Energy, which bought South Carolina Electric & Gas after the abandoned nuclear project at the V.C. Summer Nuclear Station. But Dominion Energy South Carolina President Keller Kissam said it is important that all options, including a new nuclear plant, remain on the table.

“Everybody thinks if we build anything that we’re going to absolutely repeat what we did with V.C. Summer” Kissam said. “Well, I promise you, that ain’t gonna happen. OK? I’ll pack up and leave.”

Massey said he appreciated Kissam’s candor and felt he was a straight shooter, but there are a lot of other people involved in the failed project who lied and hid problems.

“I can’t put that behind me. And I don’t think a lot of people can put that behind them,” Massey said.

Massey’s goal is to have a bill ready by the time the 2025 session starts in January.

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