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 2dNumber 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 2dNumber Theory
2
3
Students will- be able to
calculate the greatest
common factor of two
whole number and the
least common multiple of
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
two whole numbers.
Students will be able to
apply the distributive
property to express a sum
of two whole numbers
with no common factor.
Summative- Study Island- 2D
Number Theory
Triumph- Factors
and
Multiples
Student Self - AssessmentHomework
4
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.
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

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

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
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 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.
1


10 minute review before quiz
Students will take LCM/GCF/Distributive Property Quiz

I

2
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
Quiz on
LCM/GCF/Distributive
Property

1



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
257-292
Inquiry Labs pages
297-332
Fraction Bars
Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
7
Student Self - AssessmentHomework
Formative- POD responses
Choral Responses
Informal
Questioning
Summative- Study Island- 2a
Division of
Fractions
Study Island- 3C
Convert
Measurement
Units
Study IslandUnits of
Measurement
Assignment
Triumph- Divide
Fractions and
Mixed
Numbers
Student Self - AssessmentHomework
8
Students will- be able to
compute quotients of
1


Go over homework- page 308 #1,2,4,5 (Guided Practice)
Students work individually on page 308 #3,6,7 (Guided Practice)
W


Chapter 4 Lesson 1-8
Inquiry Labs pages
Formative- POD responses
Choral Responses

fractions (including whole
numbers) and solve word
problems involving division
of fractions by fractions.
Go over page 308 #3,6,7
I




257-292
Inquiry Labs pages
297-332
Fraction Bars
Study Island- 2a
Division of Fractions
Study Island- 3C
Convert
Measurement Units
Informal Questioning
Homework
Summative- Study Island- 2a
Division of
Fractions
Study Island- 3C
Convert
Measurement
Units
Study IslandUnits 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
3


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




9
Chapter 4 Lesson 1-8
Inquiry Lab pages
257-292
Inquiry Labs pages
297-332
Fraction Bars
Study Island- 2a
Division of Fractions
Study Island- 3c
Convert
Measurement Units
Formative- POD responses
Choral Responses
Informal Questioning
Homework
White Boards
Summative- Study Island- 2a
Division of
Fractions
Study Island- 3C
Convert
Measurement
Units
Study IslandUnits 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


Introduce the lesson- Chapter4, Lesson 7, Divide Fractions,
pages 317-320
Do more review problems from pages 257-288 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
297-332
Fraction Bars
Study Island- 2a
Division of Fractions
Study Island- 3c
Convert
Measurement Units
10
Formative- POD responses
Choral Responses
Informal
Questioning
Summative- Study Island- 2a
Division of
Fractions
Study Island- 3C
Convert
Measurement
Units
Study IslandUnits 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.
11
1


2

Go over homework page 320 #1-3 (Guided Practice)
Students work individually on page321 #1-3 (Independent
Practice)
Go over page 321 #1-3
WG
I






Chapter 4 Lesson 1-8
Inquiry Lab pages
257-292
Inquiry Labs pages
297-332
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 IslandUnits 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 small groups –[page 321 #4-6
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 Lab pages
297-332
Fraction Bars
Study Island- 2A
Division of Fractions
Study Island- 3C
Convert
Measurement Units
12
Formative- POD responses
Choral Responses
Informal
Questioning
Homework
Summative- Study Island- 2a
Division of
Fractions
Study Island- 3C
Convert
Measurement
Units
Study IslandUnits 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.
13

1


Introduce the lesson- Chapter 4, Lesson 8, Divide Mixed
Numbers, pages 325-327
Do more review problems from pages 257-288 to further
practice multiplying fractions
Make sure students know the following steps:
1. If there is a whole number, make the denominator 1
2. First fraction stays the same
3. Division changes to multiplication (inverse operation)
4. Flip the second fraction (reciprocal)
Review the steps for changing a mixed number to an
improper fraction.
1. Multiply the denominator by the whole number
and add the numerator
2. The denominator stays the same

Complete Got it? Page 326-327
WG






Chapter 4 Lesson 1-8
Inquiry Lab pages
257-292
Inquiry Lab pages
297-332
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 IslandUnits 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- page 328 #1-3 (Guided Practice)
Student work individually on page 329 #4-6 (Independent
Practice)
Go over page 329 #4-6
WG


I




14
Students will- be able to
compute quotients of
fractions (including whole
numbers) and solve word
problems involving division
of fractions by fractions.
1
2
3


Go over homework in small groups- page 329 #1-3
Go over problems on Study Island, under 2A, using individual
white boards
SG


I




15
Chapter 4 Lesson 1-8
Inquiry Labs pages
257-292
Inquiry Labs pages
297-332
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
Chapter 4 lesson 1-8
Inquiry Labs pages
257-292
Inquiry Labs pages
297-332
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- Assessment
Homework
White boards
Students will- be able to
compute quotients of
fractions (including whole
numbers) and solve word
problems involving division
of fractions by fractions.
16

2
Students will take the Division of Fractions Quiz
I






Chapter 4 lesson 1-8
Inquiry Labs pages
257-292
Inquiry Labs pages
297-332
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
Quiz on Division of
Fractions
Student- Self Assessment