Adding &
Subtracting
Fractions
How do I add & subtract fractions?

• MATH

MESSAGE:

• 3/4

( <, >, =) 12/16

• 2/5

(<, >, =) 7/10

•I

know this because…
Work Time

Use area models to solve:

• 2/10

+ 5/10

• 16/20

• 4/5

+ 1/5

• 3/4

• 3/8

+ 4/8

•1

• 4/12

+ 2/12

– 1/4

– 3/6

• 7/8

– 5/8

• 3/6

+ 2/6

• 10/12

• 1/2

+ 1/2

• 1/2

• 4/12
• 1/4

+ 5/12

+ 2/4

• 5/10

- 2/10

• 6/8

– 2/12

– 1/2

• 18/20

•1

– 6/20

– 6/20

+ 2/8

– 3/10
How do I add & subtract fractions?

• MATH
• 3/7

+ 4/7 =

• 11/12

•I

MESSAGE:

- 6/12 =

know this because…
Work Time

Use number lines to solve:

• 8/10

+ 1/10

• 7/8

– 3/8

•1

+ 3/4

– 1/3

•1

+ 1/2

•1

– 5/6

•1

– 2/4

•2

+ 4/5

• 2/6

+ 3/6

• 2/3

• 4/8

+ 1/8

• 11/20

• 2/4

+ 2/4

• 4/5

• 1/3

+ 1/3

• 10/12

• 3/10
• 1/5

+ 5/10

+ 3/5

• 8/12

+ 2/12

– 7/20

– 2/5
– 6/12

• 8/8

– 2/8

•2

+ 2/3

• 1/2

– 1/2

•2

– 1/6

• 3/4

– 2/4

•2

– 3/8
How do I add & subtract fractions?
• REFLECTION:
• What

rule can you create that will help you add and
subtract fractions with the same denominator
faster? Prove your thinking with an example.
 What patterns have you noticed as you solve
problems?
How do I add & subtract fractions
in word problems?
• Pink

Math Book

Read p. 520, complete 1-11 on page 521.
Your answers should show evidence of
thinking---show your work in your notebook
How do I identify and represent mixed
numbers and improper fractions?

• MATH

• 3/4

MESSAGE:

+ 2/4 =

• Show

your answer on a number line 
Gallery Walk Expectations
• ―Walking,
• Hands

No Talking‖ – We’ll share soon!

stay by your side

• Observe

a friend’s learning—try to figure out what
number they created.

• Think

about how you know this…what information
did you use from your observations

• Meet

back to discuss Our Noticings…
Reflection
How would you define and explain a mixed
number and improper fraction to one of our
3rd grade Tigers based on your exploration
today?
How do I convert mixed numbers and
improper fraction?

• MATH

• Place

MESSAGE:

this fraction on a number line:

• 13/4

Prove your thinking.
Work Time

Show your work in your chart:

• 3/2

• 17/3

• 4 3/11

• 10/4

• 26/12

• 6 7/8

• 15/6

• 4 5/6

• 45/8

• 2 3/5

• 3 8/12

• 90/10

• 3 1/12

• 52/10

• 2 3/12

• 17/3

• 23/7

• 5 6/9

• 2 4/6

• 5 11/12

• 27/4

• 21/8

• 8 3/6

• 35/3
Reflection
• What

is the rule to follow when converting a
mixed number to an improper fraction?
What rule should you follow in turning an
improper fraction into a mixed number?
 Use an example to show your thinking…

Adding & subtracting fractions

  • 1.
  • 2.
    How do Iadd & subtract fractions? • MATH MESSAGE: • 3/4 ( <, >, =) 12/16 • 2/5 (<, >, =) 7/10 •I know this because…
  • 3.
    Work Time Use areamodels to solve: • 2/10 + 5/10 • 16/20 • 4/5 + 1/5 • 3/4 • 3/8 + 4/8 •1 • 4/12 + 2/12 – 1/4 – 3/6 • 7/8 – 5/8 • 3/6 + 2/6 • 10/12 • 1/2 + 1/2 • 1/2 • 4/12 • 1/4 + 5/12 + 2/4 • 5/10 - 2/10 • 6/8 – 2/12 – 1/2 • 18/20 •1 – 6/20 – 6/20 + 2/8 – 3/10
  • 4.
    How do Iadd & subtract fractions? • MATH • 3/7 + 4/7 = • 11/12 •I MESSAGE: - 6/12 = know this because…
  • 5.
    Work Time Use numberlines to solve: • 8/10 + 1/10 • 7/8 – 3/8 •1 + 3/4 – 1/3 •1 + 1/2 •1 – 5/6 •1 – 2/4 •2 + 4/5 • 2/6 + 3/6 • 2/3 • 4/8 + 1/8 • 11/20 • 2/4 + 2/4 • 4/5 • 1/3 + 1/3 • 10/12 • 3/10 • 1/5 + 5/10 + 3/5 • 8/12 + 2/12 – 7/20 – 2/5 – 6/12 • 8/8 – 2/8 •2 + 2/3 • 1/2 – 1/2 •2 – 1/6 • 3/4 – 2/4 •2 – 3/8
  • 6.
    How do Iadd & subtract fractions? • REFLECTION: • What rule can you create that will help you add and subtract fractions with the same denominator faster? Prove your thinking with an example.  What patterns have you noticed as you solve problems?
  • 7.
    How do Iadd & subtract fractions in word problems? • Pink Math Book Read p. 520, complete 1-11 on page 521. Your answers should show evidence of thinking---show your work in your notebook
  • 8.
    How do Iidentify and represent mixed numbers and improper fractions? • MATH • 3/4 MESSAGE: + 2/4 = • Show your answer on a number line 
  • 10.
    Gallery Walk Expectations •―Walking, • Hands No Talking‖ – We’ll share soon! stay by your side • Observe a friend’s learning—try to figure out what number they created. • Think about how you know this…what information did you use from your observations • Meet back to discuss Our Noticings…
  • 11.
    Reflection How would youdefine and explain a mixed number and improper fraction to one of our 3rd grade Tigers based on your exploration today?
  • 12.
    How do Iconvert mixed numbers and improper fraction? • MATH • Place MESSAGE: this fraction on a number line: • 13/4 Prove your thinking.
  • 13.
    Work Time Show yourwork in your chart: • 3/2 • 17/3 • 4 3/11 • 10/4 • 26/12 • 6 7/8 • 15/6 • 4 5/6 • 45/8 • 2 3/5 • 3 8/12 • 90/10 • 3 1/12 • 52/10 • 2 3/12 • 17/3 • 23/7 • 5 6/9 • 2 4/6 • 5 11/12 • 27/4 • 21/8 • 8 3/6 • 35/3
  • 14.
    Reflection • What is therule to follow when converting a mixed number to an improper fraction? What rule should you follow in turning an improper fraction into a mixed number?  Use an example to show your thinking…