Unit Plan
Unit Title: Unit 2- Greatest Common Factor, Least Common Multiple, Division of Fractions
Essential Questions: How do you use equivalent rates in the real world?
How do you use the GCF and LCM when adding, subtracting and multiplying fractions?
How do you use operations with fractions to solve real world problems?
What does it mean to multiply and divide fractions?
Standards: CC.2.1.6.E.3- Develop and/or apply number theory concepts to find common factors and multiples.
CC.2.1.6.E.1- Apply and extend previous understanding and multiplication and division to divide fractions by fractions.
CC.2.1.6.D.1- Understand ratio concepts and use ratio reasoning to solve problems.
Assessment Anchor- M06.A-N.1- Apply and extend previous understandings of multiplication and division to divide fractions by
fractions.
M06.A-N.2- Compute with multi-digit numbers and find common factors and multiples.
M06.A-R.1- Understand ration concepts and use ratio reasoning to solve problems.
Summative Unit Assessment :
Summative Assessment Objective
Students Will- be able to find the greatest common factor of two whole
numbers less than or equal to 100 and the least common multiple of two
whole numbers less than or equal to 12. Students will be able to apply the
distributive property to express a sum of two whole numbers with a common
factor as a multiple of a sum of two whole numbers with no common factor.
Students will also be able to interpret and compute quotients of fractions
(including mixed numbers), and solve word problems involving division of
fractions by fractions. Knowing how to multiply/divide fractions, students will
be able to convert measurements.
Assessment Method (check one)
____ Rubric ___ Checklist _X___ Unit Test ____ Group
____ Student Self-Assessment
____ Other (explain)
Teacher Name :
Kelly Marchetti
Subject : Math
Proposed Dates:
November
Grade Level (s)
Sixth
Building : Heights-Terrace
Day
Objective (s)
Students will- be able to calculate
the greatest common factor of two
whole numbers and the least
common multiple of two whole
numbers.
DOK
LEVEL
Activities / Teaching Strategies


1


1

Introduce the lesson – Chapter 1, Lesson 1,
Factors and multiples, pages 7-9.
Make sure the students have an
understanding of factors, multiples, prime
numbers, composite numbers.
Use a T table for LCM.
Use a factor tree for GCF and prime
factorization.
Complete got it? Page 8 and 9.
Grouping
DAILY PLAN
Materials / Resources

WG


Chapter 1 Lesson 1 pages
7-14
Study Island 2d- Number
Theory
Triumph- Factors and
Multiples
Assessment of Objective (s)
Formative- POD responses
Choral responses
Informal questioning
SummativeStudy Island- 2d
Number Theory
Triumph- Factors and
Multiples
Student Self - Assessment-
Students will- be able to calculate
the greatest common factor of two
whole numbers and the least
common multiple of two whole
numbers.

1


Go over homework- pg. 10 #1 &4 (Guided
Practice)
Student work individually on page 10 #2 &5
(Guided Practice)
Go over page 10 #2 &5

WG

Chapter 1 Lesson 1 pages
7-14
Study Island 2d-Number
Theory
2
3
Students will- be able to calculate
the greatest common factor of two
whole number and the least
common multiple of two whole
numbers.
Students will be able to apply the
distributive property to express a
sum of two whole numbers with
no common factor.

1

2

Go over homework in small groups-page 10
#3 & 6
Introduce distributive property
WG

SG
Chapter 1 Lesson 1 pages
7-15
Study Island- 2d Number
Theory
Formative- POD responses
Choral Responses
Informal Questioning
Homework
Summative- Study Island- 2d
Number Theory
Triumph- Factors and
Multiples
Student Self - AssessmentHomework
Formative- POD responses
Choral Responses
Informal Questioning
Homework
Summative- Study Island- 2D
Number Theory
Triumph- Factors and
Multiples
Student Self - AssessmentHomework
4
Students will- be able to calculate
the greatest common factor of two
whole numbers and the least
common multiple of two whole
numbers.
Students will be able to apply the
distributive property to express a
sum of two whole numbers with a
common factor as a multiple of a
sum of two whole numbers with
no common factor.

1
2

Go over homework- Use the distributive
property to express a sum of two whole
numbers with a common factor 1) 8+16, 2)
54+24, 3) 63+81, 4) 32+16
Work individually on additional distributive
property problems.

WG

I
Chapter 1 Lesson 1 pages
7-14
Study Island- 2d Number
Theory
Formative- POD responses
Choral Responses
Informal Questioning
Homework
Summative- Study Island – 2d
Number Theory
Triumph- Factors and
Multiples
Student Self - AssessmentHomework
5
Students will- be able to calculate
the greatest common factor of two
whole numbers and the least
common multiple of two whole
numbers.
Students will be able to apply the
distributive property to express a
sum of two whole numbers with a
common factor as a multiple of a
sum of two whole numbers with
no common factor.

1
2


Go over homework in small groups- Use the
distributive property to express a sum of two
whole numbers with a common factor 1) 27 +
12, 2) 42 + 49, 3) 50 + 40
Students work individually on page 11 #2, 4,
6, 8,9, & 10
Students will work in small groups to check
page 11

SG

Chapter 1 Lesson 1 pages
7-14
Study Island- 2d Number
Theory
Formative- POD responses
Choral Responses
Informal Questioning
Homework
I
Summative- Study Island – 2d
Number Theory
Triumph- Factors and
Multiples
Student Self - AssessmentHomework
6
Students will- be able to calculate
the greatest common factor of two
whole numbers and the least
common multiple of two whole
numbers.
Students will be able to apply the
distributive property to express a
sum of two whole numbers with a
common factor as a multiple of a
1
2


10 minute review before quiz
Students will take LCM/GCF/Distributive
Property Quiz

I

Chapter 1 Lesson 1 pages
7-14
Study Island- 2d Number
Theory
Formative- POD responses
Choral Responses
Informal Questioning
Homework
Summative- Study Island – 2d
Number Theory
Triumph- Factors
sum of two whole numbers with
no common factor.
Students will- be able to compute
quotients of fractions (including
whole numbers) and solve word
problems involving division of
fractions by fractions.
and Multiples
Quiz on
LCM/GCF/Distributive
Property

1


7

Introduce the lesson- Chapter 4, Lesson 6,
Divide Whole Numbers by Fractions, pages
305-307
Make sure the students have an
understanding of multiplying fractions by
doing multiple examples from 257-288
Make sure students know the following steps:
1. If there is a whole number, make
the denominator 1
2. First fractions stays the same
3. Division changes to multiplication
(inverse operation)
4. Flip the second fraction (reciprocal)
Complete Got It? 306-307
WG






Chapter 4 Lesson 1-8
Inquiry Labs pages 257292
Inquiry Labs pages 297332
Fraction Bars
Study Island- 2a Division
of Fractions
Study Island- 3C Convert
Measurement Units
Student Self - AssessmentHomework
Formative- POD responses
Choral Responses
Informal Questioning
Summative- Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
Study Island- Units of
Measurement
Assignment
Triumph- Divide
Fractions and Mixed
Numbers
Student Self - AssessmentHomework
Students will- be able to compute
quotients of fractions (including
whole numbers) and solve word
problems involving division of
fractions by fractions.

1


Go over homework- page 308 #1,2,4,5
(Guided Practice)
Students work individually on page 308 #3,6,7
(Guided Practice)
Go over page 308 #3,6,7
W


I




8
Chapter 4 Lesson 1-8
Inquiry Labs pages 257292
Inquiry Labs pages 297332
Fraction Bars
Study Island- 2a Division
of Fractions
Study Island- 3C Convert
Measurement Units
Formative- POD responses
Choral Responses
Informal Questioning
Homework
Summative- Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
Study Island- Units of
Measurement
Assignment
Triumph- Divide
Fractions and Mixed
Numbers
Student Self – AssessmentHomework
Students will- be able to compute
quotients of fractions (including
whole numbers) and solve word
problems involving division of
fractions by fractions.

1

2
Go over homework in call groups- page 309
#1,2,4,5
Go over problems on Study Island, under 2a,
using individual white boards
SG



I


3

Chapter 4 Lesson 1-8
Inquiry Lab pages 257-292
Inquiry Labs pages 297332
Fraction Bars
Study Island- 2a Division
of Fractions
Study Island- 3c Convert
Measurement Units
9
Formative- POD responses
Choral Responses
Informal Questioning
Homework
White Boards
Summative- Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
Study Island- Units of
Measurement
Assignment
Triumph- Divide
Fractions and Mixed
Numbers
Student Self - AssessmentHomework
Students will- be able to compute
quotients of fractions (including
whole numbers) and solve word
problems involving division of
fractions by fractions.

1

2

10

Introduce the lesson- Chapter4, Lesson 7,
Divide Fractions, pages 317-320
Do more review problems from pages 257288 to further practice multiplying fractions
Make sure the students know the following
steps:
1. If there is a whole number, make
the denominator 1
2. First fractions stays the same
3. Division changes to multiplication
(inverse operation)
4. Flip the second fraction (reciprocal)
Complete Got It? Pages 318-319
WG






Chapter 4 Lesson 1-8
Inquiry Lab pages 257-292
Inquiry Labs pages 297332
Fraction Bars
Study Island- 2a Division
of Fractions
Study Island- 3c Convert
Measurement Units
Formative- POD responses
Choral Responses
Informal Questioning
Summative- Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
Study Island- Units of
Measurement
Assignment
Triumph- Divide
Fractions and Mixed
Numbers
Student Self - AssessmentHomework
Students will-
Formative-
11
Summative-
Student Self - Assessment-
Students will-
FormativeSummative-
12
Student Self - Assessment-