What is a Decimal?

D A J M School DarakhshanLesson PlanSubject:MathematicsTopic:DecimalsDate of delivery:Monday , 25th July2011Class:VPrepared by:Miss Musarrat Jehan KhanD A J M S DarakhshanStaff no JDK 54

What is a decimal? A decimal is similar to a fraction in that it is not a whole number. It is a part of a number.

What do students need to know?Zooming in on the number lineArranging numbers in order.

8Students need to know that numbers exist between whole numbers, and that decimals give us one way to name some of them.Because fractions also help us name some of those numbers, students need to know why decimals and fractions are both useful. The short version of that story is that decimals make some mathematical reasoning/actions easier, and fractions make other mathematical reasoning/actions easier. For example, decimals make it easy to compare magnitudes that can be hard to compare with fractions (e.g., if you understand the code, 0.6 is clearly greater than 0.51, whereas one must think harder when comparing 6/10 with 51/100. (Second example, .85714 is clearly greater than .85 but one must compute to compare 6/7 with 17/20.) On the other hand, multiplying 1/3 x 1/7 is trivial in fractions and miserable in decimal.Seeing where decimals live on the number line makes addition and subtraction understandable as straightforward extensions of arithmetic with whole numbers (if they are also learned on the number line).Seeing how numbers change under multiplication and division by 10 establishes not only an important fact about the decimal code --- what these numbers mean --- but also explains why multiplication of decimals works the way it does.When do we use decimals?Weight (He weighed 85.5 lbs).Temperature (It was so cold today, it was only 43.7)Measuring distances (example, the race was a 5 km, but since I dont understand kilometers, I changed it to miles and saw that the race was 3.1 Miles long.

Which is larger?4.5 or 4.05Because 4.5 equals 4.50, 50 is larger than 52) 6.003 or 6.3Because 6.3 equals 6.300, 300 is larger than 33) 5.012 or 5.12 5.12Because 5.12 equals 5.120, 120 is larger than 124.56.3

Zooming in with a weak glass301245672239To see fractional numbers between the whole numbers, we could zoom in on the number line with a magnifying glass. Depending on the strength of the magnifying glass, we might see one new number () or two new numbers ( and ) or four new numbers (, , , ), and so on. The magnifying glass that doubles what we can see, shows us the halves.

Zooming in with a weak glass30010204050607020253010At this distance, all we see on the number line are the multiples of 10. If we double what we can see (using the same magnifying glass we just used, that is), wed see all the multiples of 5: the even multiples of 5 that we had seen before (that is, the multiples of 10) and the odd multiples of 5, as well. If we wanted to see all the whole numbers between the multiples of 10, wed need to use a stronger magnifying glass.

300102040506070Zooming In2320212224252627282930Ten spaces (nine new numbers, labeled 1 to 9)11This glass magnifies10 times. In place of the one space between 20 and 30, we now see ten spaces. The markers that separate them represent nine new numbers, labeled 1 through 9.

30124567Zooming In More6.36.16.26.46.56.66.76.86.967Ten spacesTen spaces (nine new numbers, labeled 1 to 9)12So, we need some numbers between 6 and 7. We cant write all the numbers in there, but decimals give us one systematic way to write some of the numbers. We use the 10x glassthe same strength glass that we used on 20-30 when we wanted to see all the whole numbers between 20 and 30and, again, one space (between 6 and 7) is expanded to 10 spaces, separated by nine markers representing nine new numbers, labeled 1 through 9. The decimal point shows that we are dealing with numbers that come between consecutive whole numbers. Notice that at this point we are *NOT* explaining anything about the meaning of these new numbersno mention of tenths, for example. We are just claiming that these numbers all come between 6 and 7, are spaced evenly between 6 and 7, and are given these name, which we spell out when we read them, saying: six point one, six point two, six point three, and so on. (More on the spelling pronunciation later on.)

While it is not a good idea, at this point, to connect each of these numbers with tenths (thatll happen, but much later), children often find it interesting to find which of these numbers is exactly half way between 6 and 7 and to think of it as another name for six and a half. That is especially worth doing if some child actually guessed that 6 might be the number were looking for. What do students need to know?Zooming in on the number lineArranging numbers in order

1343What tens is it between?405014Decimals behave like whole numbers, so well step backward for a moment to review an idea about subtracting whole numbers.

Name a two digit number (e.g., 43) and ask what multiples of 10 are nearest to it. What tens is it between?4043How far from the nearest tens?405043503715Then, how far is it from each of those nearby tens?

The pair of distances is, of course, a pair that makes 10, which theyve been studying to supercompetence since they started Think Math!4.3What ones is it between?4516And it generalizes perfectly to decimals, and explains why decimal algorithms for addition and subtraction are identical to the algorithms for whole numbers.

Do the same thing with 4.3 instead of 43 and ask which ones (instead of which tens) it is between.44.3How far from the nearest ones?454.350.30.717How far from the nearest 1s. Notice how familiar these answers are. The whole world of decimals begins to feel strangely familiar.Lesson Plan 1

Mathematics - v Decimals

Learning Objectives: Students will be able to distinguish between tenths, hundredths and thousandths.Students will:explore decimal place value.read and write decimals using tenths, hundredths, and thousandths.compare decimals using greater-than and less-than notation

Material:

Grid paperPopsicle stickNumber line Dice

Linkage with previous topic:Recall:

Notation i.e. reading and writing of numbers

Methodology:Questioning while discussing Have students examine the 10 x10 grid . Explain ways to read and write decimal.Lesson Plan 1 Activity 1:

1. Model fraction by using ten popsicle sticks.

Lesson Plan 1 Activity 2Teacher dictates decimals for students to write in the place value chart.Lesson Plan 1 Activity 3 Roll a Decimal On the board write the following 0._ _ _ _. Select an appropriate place to put the digit that was rolled in order to create a number with the largest value possible.

Lesson Plan 1 Activity 4:

Plot that Decimal

Create a number line on the board. Have the number line extend from zero to ten. Create number cards by writing a whole number or a decimal number on each card with a marker. Have that student go to the number line and place his card.

Lesson Plan 2Mathematics - v DecimalsObjectives:

Use decimal skills to add, subtract, multiply, and divide.

Material:

Child's favourite clothing catalog.Paper bagPlay or real coins9 red cards.9 blue cards.9 green cards.Two sets of ten cards.

Linkage with previous topic:Recall:

Knowhow to solve four operations.

Methodology:Brainstorming and questioning while discussing.Oral questioning about solving addition and subtraction . Oral recap of tables to find out product of multiplication.

Lesson Plan 1 Activity 1:

Tell child that he can shop for his own clothes this year, within a certain budget. Give him the number that represents the limit of his budget, and tell him to do calculation! He'll need to use addition, subtraction, multiplication, and division .Lesson Plan 2 Activity 2 :

The goal of these games is to practice counting and adding coins to reach Rs 1.00.Place all of the coins into the paper bag Have all players continue to draw coins on the paper until they have reached Rs 1.00. The first to Rs 1.00 accurately wins the round.

Lesson Plan 2 Activity 3 :Human Place Value Game:Pass out one card to each student. Instruct them to make the largest number possible with the given numbers . Keep on changing the numbers. Lesson Plan 2 Activity 4: Prepare two sets of ten cards with a different digit on each (0,1,2,3,4,5,6,7,8,9). Mix up the cards.

The player with the greatest total scores 1 point.

Lesson Plan 3:Mathematics_V_DecimalsObjectives:

To explain how to round decimals to the nearest 10th, 100th and 1000th.

Methodology:

Demonstration method.

Linkage with previous topic:Recall:

Rounding off whole numbers.

Lesson Plan 3 Activity 1:

Cinderella Rounding

When rounding to any place value, use the Cinderella story to make it clearer when to "go" or "stay".

Concerned Websites:

www.education.comwww.lessonplanspage.comAction PlanMiss Musarrat Jehan KhanD.A.J.M School Darakhshan Subject : MathematicsGrade: VStaff No JDK 54

Long-term GoalAdopt 21st century teaching approaches to enhance students appreciation of Mathematics.To help students to develop decimal skills needed in daily life.Short-term goalsTo explore decimal place value.Use decimal skills to add, subtract, multiply and divide.To explain how to round off decimals to 10th ,100th and 1000th.

Instructional Strategies and tasksThey will explain how they approach their answers.I will ask questions from students which require higher order thinking.Ask questions about notation and four operations.Activities will be performed to develop students interest. Solutions to Anticipated ChallengesChallengesA. The principal may not agree with my new approach .B. Parents may not understand my methods.C. There is no computer in class.D. There may be some students who do not want to work.SolutionsI will convince my principal that computer provides more knowledge in less time in todays time.I will use my new word processing skills to create a newsletter to inform parents of my new methods.I will take students to the computer lab. I will create interest in students by performing various activities.

Class 5 NewsBy Musarrat Jehan KhanAugust 1st ,2011What happened in class this week .Students were taught about chapter Decimal.A competiton of tables will be held in class and result will be announced next week.What happened in class next week.Make an assignment on Grid paper colour 1/10,10/100 and 1/100Parents will prepare their children on four operations.

1st weekDecimals will be introduced & emphasize on place value.2nd weekThe four operations in decimal..3rd week Rounding off decimals.4th week Take test.

TimelineResources

Other teachers who teach my same grade and subject.Internet.MS Word and power point.Took help from Intel Teach Program.

ConclusionI will implement newly learned techniques of intel so student will gain a better knowledge of Mathematics and will develop a better understanding of the topic .

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