PRIME FACTORS & FRACTIONS

LESSON PLAN for Mathematics
DCPS STANDARDS COVERED: 6NSO-N6
Maria Angala, ELA/ Math Resource Teacher

PRIME FACTORS / FRACTIONS

WARM UP: Different math word problem and writing prompts will be given daily.

DAY 1

OBJECTIVES:
After the lesson, students will be able to:
- Develop their understanding of whole numbers
- Develop understanding of the meaning of common factors and will compute with them.
- Represent and interpret relationships between quantities algebraically.

MATERIALS:
VIDEO Review Prime Factorization http://www.teachertube.com/view_video.php?viewkey=137e68f3d66a7941b331
PPT Sieve of Eratosthenes
http://www.cs.iastate.edu/~dpinksto/cs425/sieve/Eratosthenes.ppt
Hundreds Board handouts http://www.enasco.com/pdfs/TB21533T.pdf
Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
Multiples & Factorization Challenge Game http://www.quia.com/cb/8436.html

METHODS & STRATEGIES:
WHOLE GROUP DISCUSSION:
- As a review, show the video review of Prime Factorization.
http://www.teachertube.com/view_video.php?viewkey=137e68f3d66a7941b331
- Review the math vocabulary to the students. http://www.teachers.ash.org.au/jeather/maths/dictionary.html
- Tell the students that there is a pattern in finding the factors of a number. Show the PPT of Sieve of Eratosthenes.
http://www.cs.iastate.edu/~dpinksto/cs425/sieve/Eratosthenes.ppt

INDIVIDUAL WORK:
- Distribute the Hundreds Board (http://www.enasco.com/pdfs/TB21533T.pdf ) and ask students to do the following on prompt:
Cross out every other number starting at 2.Cross out every third number starting at 3.(You don't have to check every fourth number. Why?)Cross out every fifth number starting at 5(You don't have to check every sixth number. Why?)Cross out every seventh number starting at 7(You don't have to check every eighth number. Why?)(You don't have to check every ninth number. Why?)(You don't have to check every tenth number. Why?)

The numbers that are not crossed out are primes.

GROUP WORK: Divide the class into two groups. Play the Prime Factorization Challenge Game, ask them to compete with another group and test how much students know about factors and multiples.

DAY 2

OBJECTIVES:After the lesson, students will be able to:
- understand relationships among factors, multiples, divisors, and products
- recognize and use properties of prime and composite numbers, even and odd numbers, and square numbers
- develop strategies for finding factors and multiples, least common multiples, and greatest common factors

MATERIALS:
VIDEO Factor Trees http://www.teachertube.com/view_video.php?viewkey=de67e146a2f810ded7bb
Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
Rags to Riches Game on Prime Factorization http://www.quia.com/rr/239055.html?AP_rand=1460235454&playHTML=1
The Factor Game Connected Mathematics Prentice Hall
http://www.phschool.com/atschool/cmp2/active_math/site/Grade6/FactorGame/
Exponents PPT http://www.lexington1.net/technology/instruct/ppts/mathppts/Numeracy%20&%20Concepts/Exponents.ppt
How To Write Exponents with Large Numbers PPT http://jc-schools.net/PPT/ExponentsL.ppt

METHODS & STRATEGIES:
WHOLE GROUP DISCUSSION:- Review the math vocabulary to the students. http://www.teachers.ash.org.au/jeather/maths/dictionary.html
GROUP WORK: The Factor Game
Divide the class into two teams. The class will modify the game from the book. In this case we will play the game with a PPT on the board. The factor Game Rules on page 7 of Connected Mathematics will still apply.
http://www.phschool.com/atschool/cmp2/active_math/site/Grade6/FactorGame/
WHOLE GROUP DISCUSSION
- As a debriefing, show the video review of how to use Factor Trees to complete Prime Factorization. http://www.teachertube.com/view_video.php?viewkey=de67e146a2f810ded7bb

DAY 3

OBJECTIVES:After the lesson, students will be able to:
- Identify an improper fraction represented by a model of mixed number.
- Simplify a fraction
- Determine a set of equivalent fractions

MATERIALS:
- Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
- Fractions PPT http://jc-schools.net/PPT/Fractions%20I.ppt

METHODS & STRATEGIES:WHOLE GROUP DISCUSSION:- Discuss fraction examples with class.
- Ask question regarding examples.
- Where do you see fractions in life?
- Show four pre-made examples of fractions found in life.
- Using the PowerPoint presentation, discuss the vocabulary terms and concepts used for this unit. http://jc-schools.net/PPT/Fractions%20I.ppt
- Can you think of where you might find fractions outside of the classroom.
- Discuss fractions outside of the room, how are they used in everyday life?
INDIVIDUAL: Answer board exercises on fractions; give the picture and ask the students fraction questions (example: what fraction of the pie is purple?)
WHOLE GROUP DISCUSSION: Review : fractions, numerator, denominator using the Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
PAIR & SHARE: Give the strips of colored papers to the students. Ask them to show ¼, 2/4 , ¾ , 4/4 with the green strips. Show 1/5, 2/5, 3/5, 4/5, 5/5 with the pink strips, and show 1/3, 2/3, 3/3 with orange strips.
INDIVIDUAL: Answer exercises on page 5 exercise 1-A 29-48 and exercise 1-B 1-9.


DAY 4

OBJECTIVES:After the lesson, students will be able to:
- Identify an improper fraction represented by a model of mixed number.
- Simplify a fraction
- Determine a set of equivalent fractions

MATERIALS:
- Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
- Fractions PPT http://jc-schools.net/PPT/Fractions%20II.ppt
- Equivalent fractions PPT http://jc-schools.net/PPT/Fractions%20IV.ppt

METHODS & STRATEGIES:
WHOLE GROUP DISCUSSION: Review the fraction vocabulary and concepts with this video:
SMALL GROUP: Divide the students into two groups. Compete with each other for this Fractions Game. http://jc-schools.net/PPT/Fractions%20II.ppt
CLASS ACTIVITY: Remember Go Fish? It's great for reviewing equivalent fractions. Since Go Fish is all based on matches, it naturally works for matching equivalent fractions. This game should be played in groups of 4 or less.
Instructions for making the cards:1. On one side of an index card, write a fraction. Write an equivalent fraction on another index card. Continue writing pairs of equivalent fractions. For each group of students playing, they need about 30 cards (this makes 15 pairs). I like to decorate one side of the card and laminate them for durability, but neither of these steps is necessary.
2. Put students in groups of not more than 4.
RULES:Choosing a dealer: Student with the earliest birthday this year.Dealer deals 5 cards to each student and puts the rest in a scattered pile in the middle of the group. Students can put down any matches they have. The student to the dealer's left asks the student of his/her choice: "Do you have a fraction equivalent to (for example) 1/2?" If that student has a match, all group members need to check for accuracy! If not, the student "goes fishing." Again, if a match is found, all group members check for accuracy.Continue play until the "pond" is depleted. The student with the most matches is the winner!
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DAY 5

OBJECTIVES:After the lesson, students will be able to:
- Add & subtract fractions no greater than 10 using models.
- Add & subtract fractions no greater than 10
- Add & subtract fractions no greater than 10 and simplify the difference.

MATERIALS:
- Math Dictionary http://www.teachers.ash.org.au/jeather/maths/dictionary.html
- Adding Fractions PPT http://jc-schools.net/PPT/Fractions%20VII.ppt
- Subtracting Fractions PPT http://jc-schools.net/PPT/Fractions%20VIII.ppt

METHODS & STRATEGIES:

WHOLE GROUP DISCUSSION: Show the Addition & Subtraction of Fractions PPT presentation to the class to teach the vocabulary and concepts.
- Adding Fractions PPT http://jc-schools.net/PPT/Fractions%20VII.ppt
- Subtracting Fractions PPT http://jc-schools.net/PPT/Fractions%20VIII.ppt
WHOLE CLASS ACTIVITY: On half of the 3 X 5 notecards write an unlike denominator addition or subtraction problem. On the other half of the note cards, write the corresponding common denominators to the problems on the other half. In random order, hand out the note cards and have the students find their matching partner and work the problem out.

QUIZ: Math Vocabulary list
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ASSESSMENTS/ REFLECTIONS:- Activity sheets on finding factors, multiples and exponents
- Board work on finding factors, multiples and exponents
- Quiz on Friday
- Problem solving activity and have students format their answers using math vocabulary and concepts.
- Multiples & Factorization Challenge Game
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INTERDISCIPLINARY CONNECTION:
- technology
- social studies
- science
- music
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HOMEWORK:
Practice exercises will be sent home daily and will be checked with parent signature the next day.