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| # If you want to understand improper fraction , example 8/3. In the equal share model , 8/3 represents the share that each child gets when 8 rotis are divided among 3 children equally. The child in this case will usually distribute 2 full rotis to each child and then try to divide the remaining rotis. At this point you can show the mixed fraction representation as 2 2/3 | | # If you want to understand improper fraction , example 8/3. In the equal share model , 8/3 represents the share that each child gets when 8 rotis are divided among 3 children equally. The child in this case will usually distribute 2 full rotis to each child and then try to divide the remaining rotis. At this point you can show the mixed fraction representation as 2 2/3 |
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| [[Image:KOER%20Fractions_html_m66ce78ea.gif]] | | [[Image:KOER%20Fractions_html_m66ce78ea.gif]] |
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| We can apply that | | We can apply that |
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− | '''''Evaluation'''''
| + | == Evaluation == |
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| When | | When |
| we divide by a fraction is the result larger or smaller why ? | | we divide by a fraction is the result larger or smaller why ? |
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− | == Evaluation ==
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| == Self-Evaluation == | | == Self-Evaluation == |
| This '''PhET simulation''' enables you to | | This '''PhET simulation''' enables you to |
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| used to show how to link these other topics with the already | | used to show how to link these other topics with the already |
| understood concepts of fractions. | | understood concepts of fractions. |
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| == Objectives == | | == Objectives == |
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| [[Image:KOER%20Fractions_html_m22cda036.gif]] | | [[Image:KOER%20Fractions_html_m22cda036.gif]] |
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| But | | But |
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| '''''Learning''''' | | '''''Learning''''' |
| Objectives | | Objectives |
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| Fractions representation of decimal | | Fractions representation of decimal |
| numbers | | numbers |
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| '''''Materials and''''' | | '''''Materials and''''' |
| resources required | | resources required |
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− | [[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf]] | + | [[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf Decimals: Tenths]] |
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− | [[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf]] | + | [[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf Decimal: Hundredths and Tenths]] |
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| '''''Pre-requisites/''''' | | '''''Pre-requisites/''''' |
| Instructions Method | | Instructions Method |
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− | Make copies of the worksheets
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− | [[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf]]
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− | [[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf]]
| + | Make copies of the above given resources. |
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| '''''Evaluation''''' | | '''''Evaluation''''' |
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| # Draw a number line and name the fraction and decimal numbers on the number line. Take a print of the document [[http://www.superteacherworksheets.com/decimals/decimal-number-lines-tenths.pdf]] ''' . '''Ask students to place any fraction and decimal numbers between between 0 and 10 on the number line | | # Draw a number line and name the fraction and decimal numbers on the number line. Take a print of the document [[http://www.superteacherworksheets.com/decimals/decimal-number-lines-tenths.pdf]] ''' . '''Ask students to place any fraction and decimal numbers between between 0 and 10 on the number line |
| # Write 0.45, 0.68, 0.05 in fraction form and represent as a fraction 100 square. | | # Write 0.45, 0.68, 0.05 in fraction form and represent as a fraction 100 square. |
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| === Activity 2 Fraction representation and percentages === | | === Activity 2 Fraction representation and percentages === |
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| Objectives | | Objectives |
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| + | Understand fraction representation and percentages |
− | Understand fraction representation and percentages | |
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| '''''Materials and''''' | | '''''Materials and''''' |
| resources required | | resources required |
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| + | [[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf Converting fractions, decimals and percents]]<br> |
| + | [[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf Percentage]] |
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− | [[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf]]
| + | '''''Pre-requisites/Instructions Method''''' |
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− | [[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf]]
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− | '''''Pre-requisites/''''' | |
− | Instructions Method
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| + | Please print copies of the above given activity sheets and discuss the various percentage quantities with various shapes. |
− | Please print | |
− | copies of the 2 activity sheets | |
− | [[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf]] and
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− | [[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf]] and discuss the various percentage quantities with
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− | the various shapes.
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| + | Then print a copy each of [[spider-percentages.pdf]] and make the children do this activity |
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− | Then print a copy | |
− | each of [[spider-percentages.pdf]] | |
− | and make the children do this activity | |
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| '''''Evaluation''''' | | '''''Evaluation''''' |
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| # What value is the denominator when we represent percentage as fraction ? | | # What value is the denominator when we represent percentage as fraction ? |
| # What does the numerator represent ? | | # What does the numerator represent ? |
| # What does the whole fraction represent ? | | # What does the whole fraction represent ? |
| # What other way can we represent a fraction whose denominator is 100. | | # What other way can we represent a fraction whose denominator is 100. |
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| === Activity 3 Fraction representation and rational and irrational numbers === | | === Activity 3 Fraction representation and rational and irrational numbers === |
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− | '''''Learning''''' | + | '''''Learning Objectives''''' |
− | Objectives | |
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− | Understand fraction representation and rational and irrational
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− | numbers
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− | '''''Materials and'''''
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− | resources required
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− | Thread
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− | of a certain length.
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| + | Understand fraction representation and rational and irrational numbers <br> |
| + | '''''Materials and resources required''''' |
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− | '''''Pre-requisites/'''''
| + | Thread of a certain length. |
− | Instructions Method
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− | Construct
| + | '''''Pre-requisites/Instructions Method''''' |
− | Koch's snowflakes .
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| + | Construct Koch's snowflakes . |
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| Start | | Start |
| with a thread of a certain length (perimeter) and using the same | | with a thread of a certain length (perimeter) and using the same |
| thread construct the following shapes (see Figure). | | thread construct the following shapes (see Figure). |
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| [[Image:KOER%20Fractions_html_m1a6bd0d0.gif]] | | [[Image:KOER%20Fractions_html_m1a6bd0d0.gif]] |
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| See | | See |
| how the shapes can continue to emerge but cannot be identified | | how the shapes can continue to emerge but cannot be identified |
− | definitely with the same perimeter (length of the thread). | + | definitely with the same perimeter (length of the thread). |
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| Identify | | Identify |
− | the various places where pi, "e" and the golden ratio | + | the various places where pi, "e" and the golden ratio occur |
− | occur | |
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| + | == Evaluation == |
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− | '''''Evaluation'''''
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| # How many numbers can I represent on a number line between 1 and 2. | | # How many numbers can I represent on a number line between 1 and 2. |
| # What is the difference between a rational and irrational number, give an example ? | | # What is the difference between a rational and irrational number, give an example ? |
| # What is Pi ? Why is it a special number ? | | # What is Pi ? Why is it a special number ? |
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| + | == Self-Evaluation == |
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| + | == Worksheets == |
| + | # fraction addition worksheet [http://karnatakaeducation.org.in/KOER/en/images/1/11/Fractionaddition.odt Fraction simple addition] |
| + | # fraction addition worksheet Fraction simple addition] |
| + | # Fraction multiplication worksheet [http://karnatakaeducation.org.in/KOER/en/images/8/83/Multiplication.odt multiplication] |
| + | # Fraction Division worksheet [http://karnatakaeducation.org.in/KOER/en/images/c/ca/Division.odt Division] |
| + | # Fraction Subtraction worksheet[http://karnatakaeducation.org.in/KOER/en/images/1/1d/Subtraction.odt Subtraction] |
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− | == Evaluation ==
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− | == Self-Evaluation ==
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| == Further Exploration == | | == Further Exploration == |
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| = Teachers Corner = | | = Teachers Corner = |
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| + | GOVT HIGH SCHOOL, DOMLUR<br><br> |
| + | |
| + | Our 8th std students are learning about fraction using projector . <br> |
| + | [[File:1.jpg|400px]]<br> |
| + | Students are actively participating in the activity.<br> |
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| + | They are learning about meaning of the fractions, equivalent fractions and addition of fractions using paper cuttings.<br> |
| + | [[File:2..jpg|400px]][[File:3.jpg|400px]][[File:4.jpg|400px]] <br><br> |
| + | A student is showing 1/4=? 1/6+1/12<br> |
| + | [[File:5.jpg|400px]]<br> |
| + | [[File:6..jpg|400px]]<br> |
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| + | Showing 1/3=1/4+1/12<br> |
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| + | They started to solve the problems easily <br> |
| + | [[File:7.jpg|400px]]<br>[[File:8.jpg|400px]] |
| + | |
| = Books = | | = Books = |
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| # Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India | | # Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India |
| # Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers. | | # Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers. |
| + | |
| + | [[Category:Fractions]] |