**LESSON PLAN for MathematicsFor the week of Sept 15-19, 2008DCPS STANDARDS COVERED: 6.NSO-N.6 / 6.NSO-C.15 / 6.NSO-C.16Maria Angala, ELA/ Math Resource Teacher**

**FRACTIONS**

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

**MATH VOCABULARY:**

Numerator

Denominator

Fractions

Reciprocal

Equivalent fractions

Mixed number

Proper fraction

Improper fraction

**DAY 1**

**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:**

- Understanding fractions video: http://www.teachertube.com/view_video.php?viewkey=a8f591b52d302e718133

- Improper Fractions PPT http://jc-schools.net/PPT/Fractions%20V.ppt

- Equivalent fractions PPT http://jc-schools.net/PPT/Fractions%20IV.ppt

- Equivalent Fractions worksheet**METHODS & STRATEGIES:****WHOLE GROUP DISCUSSION:** Review the fraction vocabulary and concepts with these videos:

http://www.teachertube.com/view_video.php?viewkey=a8f591b52d302e718133 and

http://www.teachertube.com/view_video.php?viewkey=1af692ce60a796b48185

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!

**DAY 2****OBJECTIVES:**After the lesson, students will be able to:

- compare fractions with unlike denominators using fraction pieces and drawings. The learner will compare fractions with unlike denominators using the least common multiple.

**MATERIALS:**

LCD & LCM PPT http://jc-schools.net/PPT/Fraction%20IX.ppt

Simplifying Fractions PPT http://jc-schools.net/PPT/Fractions%20VI.ppt

Equivalent Fractions PPT http://jc-schools.net/PPT/Fractions%20IV.ppt Worksheet http://www.instructorweb.com/basicskills/docs/pdf/fractionlessonplan.pdf

**METHODS & STRATEGIES:**

WHOLE CLASS DISCUSSION:The teacher will show examples of how to compare two fractions with the Equivalent Fractions PPT http://jc-schools.net/PPT/Fractions%20IV.ppt

WHOLE CLASS DISCUSSION:

**PAIR & SHARE:**The students will demonstrate an understanding of how to compare two fractions by doing examples using an individual set of fraction pieces and then drawing the example on a piece of paper. The students will then indicate if the given sets of fractions are greater than, less than or equal to one another.

**WHOLE CLASS DISCUSSION:**The teacher will show how to rename fractions using the least common multiple to get a common denominator. LCD & LCM PPT http://jc-schools.net/PPT/Fraction%20IX.ppt By using this method, students will realize that some fractions have denominators that are ideally too large to use fraction pieces or drawings for. Using this method, students will also understand the concept of equivalent fractions.

**PAIR & SHARE:**The students will compare given fractions using the least common multiple method of comparing fractions. The students will then indicate if the given sets of fractions are greater than, less than or equal to one another.

**DAY 3**

OBJECTIVES:

Students will:

Write a fraction to tell what part of a region is shaded.

Name the numerator and denominator of a fraction.

Identify equivalent fractions.

.**MATERIALS:**

Equivalent Fractions PPT http://jc-schools.net/PPT/Fractions%20IV.ppt Equivalent fractions video http://www.teachertube.com/view_video.php?viewkey=72d9cdd49406b1a8eaf6

Teacher: rectangular pieces of paper, chalkboard, chalk

Student: crayolas

.**METHODS & STRATEGIES:****WHOLE GROUP DISCUSSION:** Review equivalent fractions with the PPT http://jc-schools.net/PPT/Fractions%20IV.ppt Review the vocabulary words numerator and denominator. The numerator is the number of parts shaded and the denominator is the total number of equal parts. (For those students who have difficulty remembering which is the numerator and which is the denominator, try this memory association technique----In a fraction, one number is UP above the line and one is DOWN below the line. Numerator has an "u" in it and so does up; denominator begins with "d" and so does down.)

Show the equivalent fractions video: http://www.teachertube.com/view_video.php?viewkey=72d9cdd49406b1a8eaf6**INDIVIDUAL ACTIVITY:** Provide each student with a piece of rectangular paper. Fold the paper in half. After you have folded the paper in half, instruct the students to do the same. Explain that a fraction is a part of a whole. You have divided a whole piece of paper into two equal parts.

- Instruct the students to color one of the two equal parts. Ask a student to write 1/2 on the board to show that one out of the two equal parts is now shaded.

- Repeat the same activity with pieces of paper, demonstrating 1/4, 3/4, 1/3, 2/3, 1/8. Each time, a student should write the fraction on the board and identify the numerator and the denominator. If you prefer, project a rectangle on the overhead projector and divide the rectangle into the same fractions as those in the paper-folding demonstration.

- Equivalent Fractions: Ask students to fold a rectangular sheet of paper in half and color one of the two equal parts. Ask what fraction of the paper is colored (1/2). Now have them refold the same paper and then fold it in half once again. Unfold. How many equal parts now? (4) What fraction is shaded (2/4 or 1/2) Since the amount of shading has not changed, this means that 1/2 = 2/4. Tell students that 1/2 and 2/4 are two names for the same amount. Therefore, they are equivalent. Now have students refold the papers and then fold in half a third time. Unfold. What new fraction have they found that is equivalent to 1/2 and 2/4? (4/8) These three fractions name the same amount.**TYING IT ALL TOGETHER:**

Once students have a firm understanding of equivalent fractions, they will be ready to find "another name" for a fraction by multiplying or dividing the numerator and denominator by the same (nonzero) number. This emphasis on equivalent fractions will pay dividends when you begin teaching addition and subtraction of fractions with unlike denominators.

.**DAY 4****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 like Denominators PPT http://jc-schools.net/PPT/Fractions%20VII.ppt

- Subtracting Fractions like Denominators PPT http://jc-schools.net/PPT/Fractions%20VIII.ppt

- Subtracting Unlike Denominators PPT http://jc-schools.net/PPT/Fractions%20XII.ppt

- Adding Unlike Denominators PPT http://jc-schools.net/PPT/Fraction%20X.ppt

- Adding Mixed Numbers with Unlike Denominators PPT http://jc-schools.net/PPT/Fractions%20XI.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 like Denominators PPT http://jc-schools.net/PPT/Fractions%20VII.ppt

- Subtracting Fractions like Denominators PPT http://jc-schools.net/PPT/Fractions%20VIII.ppt

- Subtracting Unlike Denominators PPT http://jc-schools.net/PPT/Fractions%20XII.ppt

- Adding Unlike Denominators PPT http://jc-schools.net/PPT/Fraction%20X.ppt

- Adding Mixed Numbers with Unlike Denominators PPT http://jc-schools.net/PPT/Fractions%20XI.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.**DAY 5****OBJECTIVES:**

After the lesson, students will be able to:

- Solve puzzles using rotation, reflection and translation to fit all the pieces together.**MATERIALS:**

Review adding & subtracting fractions with like denominator: http://www.teachertube.com/view_video.php?viewkey=84f782058efac46f64b0

Review Adding & Subtracting Fractions with unlike denominators: http://www.teachertube.com/view_video.php?viewkey=f45add6d61e52df5a03f

Sets of tangrams

Tangram Puzzle Sheets http://mathforum.org/alejandre/mathfair/tangram.html

Hoops Game http://jc-schools.net/write/games/hoopsMcBride.ppt

.**METHODS & STRATEGIES:**Divide your group of 4 into two groups of 2 each.

The Materials Manager distributes materials to both groups.

The following directions are for each group of 2:

Find a picture in the tangram packet.

Fill in with the tangram pieces.

Check your solution

Find another picture in the packet and repeat the process.

Complete the questions on the 'Traced Tangram Solution Sheet'.

video http://www.teachertube.com/view_video.php?viewkey=b42a585aae3759190a2f

**PRODUCT:**

Your product is a completed 'Traced Tangram Solution Sheet'.The Scribe checks off the station on the recording sheet.

**CLEAN-UP:**

Put the tangram pieces in the bags.

Set the tangram bags neatly on top of the puzzle sheets.

.**QUIZ: Math Vocabulary list**

------------------------------------------------------**ASSESSMENTS/ REFLECTIONS:**

- Activity sheets on fractions

- Board work and games on fractions

- Quiz on Friday

- Problem solving activity and have students format their answers using math vocabulary and concepts.

- Fractions Challenge Game**HOMEWORK:**Practice exercises will be sent home daily and will be checked with parent signature the next day.

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