ccss 3 rd grade number and operations – fractions 1.1 understand a fraction 1/b as the quantity...

$: CCSS 3 rd Grade Number and Operations – Fractions 1.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal$
CCSS 3rd Grade Number and Operations – Fractions 1.1Understand a fraction 1/b as the quantity formed by 1 part when a

whole is partitioned into b equal parts; understand a fraction a/b asthe quantity formed by a parts of size 1/b.

Lesson to be used by EDI-trained teachers only. READY TO TEACHSM EDI® Lessons©2013 All rights reserved.

What are we going to do?

What does determine mean?Determine means __________.

What are we going to do?

What does determine mean?Determine means __________.

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Students, sometimes we have to split a whole into equal parts. Now, we will call each equal part a unit fraction.

Students, sometimes we have to split a whole into equal parts. Now, we will call each equal part a unit fraction.

Make ConnectionMake Connection

1 figure out1 figure out

VocabularyVocabulary

We will determine1 the unit fraction of a whole.

Learning ObjectiveLearning Objective

Activate Prior Knowledge

Activate Prior Knowledge

Show how you would split a whole pie into 2 equal parts so that 2 people get the same amount?

One WHOLE pie

How would you split a whole pie into 4 equal parts so that 4 people get the same amount?

Fractions: 4th grade

CCSS 3rd Grade Number and Operations – Fractions 1.1Determine the unit fraction of a whole.

Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved.

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2 shows2 shows


Concept DevelopmentConcept Development

A unit fraction is a number that represents2 one equal part of a whole. •The whole must be divided into equal parts.•The numerator of a unit fraction is always 1.•The denominator represents the number of total equal parts.

NOT Divided into Equal PartsDivided into Equal Parts

is the14

Unit Fraction

is NOT the34

Unit Fraction

14

14

14

14

Which figure below is divided so that one part is a unit fraction? How do you know?

A B

Which of the following numbers are unit fractions? How do you know?

A B C2

3

1

5

1

2

Which is the unit fraction of the figure?How do you know?

1

6

1

5A B

14

numerator

denominator

Unit Fraction

One-fourth shaded in



Read the problem and identify what you are looking for. (underline)Determine the unit fraction.

Write the numerator.Write the denominator. Hint: Count the number of total equal parts.

Interpret3 the unit fraction

Determine the unit fraction of a whole.

1

2

3

ab

A unit fraction is a number that represents one equal part of a whole. •The numerator of a unit fraction is always 1.•The denominator represents the number of total equal parts.

3 explain3 explain


How did I/you determine the unit fraction?How did I/you interpret the unit fraction?


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2

3

Skill Development/Guided Practice

Skill Development/Guided Practice

1. A circle has been divided into three equal parts. What is the unit fraction of the circle?

2. A circle has been divided into two equal parts. What is the unit fraction of the circle?

The unit fraction is . The unit fraction is .

1 3

31

21

1 231

The unit fraction represents __ part of ___ equal parts. The unit fraction represents __ part of ___ equal parts.21

14

numerator

denominator

Unit Fraction



Skill Development/Guided Practice (continued)




Interpret the unit fraction


1

2

3

ab




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2

3

3. A rectangle has been divided into four equal parts. What is the unit fraction of the rectangle?

4. A rectangle has been divided into five equal parts. What is the unit fraction of the rectangle?

The unit fraction is . The unit fraction is .41

51

1 4 1 5The unit fraction represents __ part of ___ equal parts. The unit fraction represents __ part of ___ equal parts.41

51

14

numerator

denominator

Unit Fraction





5. A pizza was cut into six equal slices. What is the unit fraction of one slice of the pizza?

6. A pizza was cut into eight equal slices. What is the unit fraction of one slice of the pizza?

The unit fraction is ____.61

The unit fraction is ____ .81

1 6 1 8The unit fraction ___ represents __ part of ___ equal parts.

The unit fraction ___ represents __ part of ___ equal parts.

61

81

14

numerator

denominator

Unit Fraction

How did I/you determine what the question is asking?How did I/you determine the math concept required?How did I/you determine the relevant information?How did I/you solve and interpret the problem?How did I/you check the reasonableness of the answer?


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2

1

3

4

5





7. A paper was cut into three equal pieces. What is the unit fraction of one piece of the paper?

8. A paper was cut into three equal pieces. What is the unit fraction of one piece of the paper?



1 3 1 3The unit fraction ___ represents __ part of ___ equal parts.

The unit fraction ___ represents __ part of ___ equal parts.

31

31

14

numerator

denominator

Unit Fraction



CFUCFU

2

1

3

4

5



Determining unit fractions of a whole will help you measure ingredients

for cooking.

Determining unit fractions of a whole will help you do well on tests.

1

Does anyone else have another reason why it is relevant to determine the unit fraction of a whole? (Pair-Share) Why is it relevant to determine the unit fraction of a whole? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?

Does anyone else have another reason why it is relevant to determine the unit fraction of a whole? (Pair-Share) Why is it relevant to determine the unit fraction of a whole? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?

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2


RelevanceRelevance

A cookie recipe requires of a cup of melted butter. 13

Sample Test Question

5. Write the unit fraction.

The unit fraction is .



What did you learn today about the determining unit fraction of a whole? (Pair-Share) Use words from the word bank.


Skill ClosureSkill Closure

Access Common CoreAccess Common Core

Summary ClosureSummary Closure





1

2

3

ab

The unit fraction is .

1. A square has been divided into two equal parts. What is the unit fraction of the square?

2. A square has been divided into four equal parts. What is the unit fraction of the square?

2

1

1 2

The unit fraction is ___.41

1 4The unit fraction represents __ part of ___ equal parts.

The unit fraction ___ represents __ part of ___ equal parts.2

141

Explain why the unit fraction does not represent eachpart of the rectangle on the left.

1

3

14

numerator

denominator

Unit Fraction

Word BankWord Bank

unit fractionone equal part wholenumerator denominator



Independent PracticeIndependent Practice





1

2

3

ab


14

numerator

denominator

Unit Fraction

1. A triangle has been divided into two equal parts. What is the unit fraction of the triangle?

2. A figure has been divided into three equal parts. What is the unit fraction of the figure?

The unit fraction is . The unit fraction is .

1 2

21

31

1 3The unit fraction represents __ part of ___ equal parts. The unit fraction represents __ part of ___ equal parts.21

31



Independent Practice (continued)






1

2

3

ab


14

numerator

denominator

Unit Fraction

3. A tile has been divided into four equal parts. What is the unit fraction of one part of the tile?

4. A pie has been divided into five equal pieces. What is the unit fraction of one piece of the pie?

The unit fraction is ___. The unit fraction is ___.

1 4

41

51

1 5The unit fraction __ represents __ part of __ equal parts. The unit fraction __ represents __ part of __ equal parts.41

51





5. A piece of paper has been divided into six equal parts. What is the unit fraction of the paper?

6. A piece of paper has been divided into six equal parts. What is the unit fraction of the paper?

The unit fraction is ___. The unit fraction is ___.

1 6

61

61

1 6The unit fraction __ represents __ part of ___ equal parts. The unit fraction __ represents __ part of ___ equal parts.61

61

14

numerator

denominator

Unit Fraction



Periodic Review 1Periodic Review 1


1. A sheet of metal has been cut into four equal pieces. What is the unit fraction of the sheet of metal?

2. A wooden desk is divided into two equal parts. What is the unit fraction of the wooden desk?

The unit fraction is ___.

The unit fraction __ represents __ part of ___ equal parts.1 4

41

41


The unit fraction __ represents __ part of ___ equal parts.1 2

21

21

1. Divide the pizza so that each piece

represents a unit fraction of .

Explain why each piece represents .

14 1

4

2. Divide the square so that each part

represents a unit fraction of .

Explain why each part represents .

13 1

3


Each piece is because it is 1 piece of 4 equal pieces of the pizza.

14 Each part is

because it is 1 piece of 3 equal parts of the square.

13





1. A shape is divided into equal parts. What is the unit fraction of the shape?

2. A triangle has been divided into equal parts. What is the unit fraction of the triangle?


The unit fraction ___ represents __ part of __ equal parts.1 8

81

81



41

41

1. Tim, Hector, Julie, and Lenny are trying to divide a square into equal parts to play four-square at recess.

What would be the unit fraction of each player’s part of the square?

2. Carol is dividing a pie into equal parts for her children to eat. If Carol has eight children, what would be the unit fraction of each slice of pie?

Use pictures, math, or words to explain how you would find the answer.





1. A wooden desk is divided into equal parts. What is the unit fraction of the wooden desk?

2. A heart has been divided into equal parts. What is the unit fraction of the heart?



61

61



21

21





Determine if each figure is divided so that each part of the figure is the same unit fraction? Select Yes or No.

O Yes O No

O Yes O No

O Yes O No

a.

b.

c.

d.

O Yes O No

O Yes O No

O Yes O No

O Yes O No

a.

b.

c.

d.

O Yes O No

1. 2.

ccss 3 rd grade number and operations – fractions 1.1 understand a fraction 1/b as the quantity...

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