Fractions and modeling
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Transcript of Fractions and modeling
![Page 1: Fractions and modeling](https://reader038.fdocuments.in/reader038/viewer/2022110307/555cfdb5d8b42add648b515d/html5/thumbnails/1.jpg)
Fractions and ModelsFractions are used to indicate amounts and describe parts of a whole or members of a group.
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How Many Trapezoids make up one hexagon?
Two trapezoids
Hexagon
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How many rhombuses make up one hexagon
Rhombus
Hexagon
How many rhombuses make up one hexagon?
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RhombiThree rhombuses make up one hexagon.
Three parts of a whole that has four parts is represented by ¾.
Hexagon
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What does the model at the left represent?
Write a mixed number that the model represents?
Write a mixed number that the model represents?
The total gray area represents one.
The total gray area represents one-half.
The model represents 1 ½
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Try it out on your own.
Write a mixed number for each model?
• Each notch is 1/16 of an inch. So if we pass two how many notches past the number two did we pass?
• That is correct 4 notches.• So we may write 4/16 of an inch past two.• We may re-write the fraction as• 4 = 2 * 2 * 1 16 2 * 2 * 2• 2 * 2 is common to both the numerator
and denominator or the whole number 4.• Write 2 and 4/16 as 2 ½.
http://www.google.com/images?hl=en&biw=1396&bih=742&gbv=2&tbs=isch%3A1&sa=1&q=ruler&aq=f&aqi=&aql=&oq=&gs_rfai=
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Write a fraction or mixed number for each model.
• http://www.google.com/imgres?imgurl=https://www.glastonburyus.org/staff/GagneM/homework/PublishingImages/ruler1g.jpg&imgrefurl=http://product-category.com/search.php%3Fkeyword%3D1%2Bruler&usg=__sKtUm8nEQrdN8kQZOsvgXzJY5kE=&h=315&w=926&sz=14&hl=en&start=122&zoom=1&tbnid=k50X-KQ8bANNWM:&tbnh=58&tbnw=171&prev=/images%3Fq%3Druler%26hl%3Den%26biw%3D1396%26bih%3D742%26gbv%3D2%26tbs%3Disch:1&itbs=1&iact=rc&dur=282&ei=Xs0nTbKGFIWInAfl74zOAQ&oei=t8wnTYvvL5OOnweYuaSsDw&esq=11&page=5&ndsp=30&ved=1t:429,r:3,s:122&tx=145&ty=56
• You are correct. 3/8
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Write a fraction or mixed number for each model.
• http://www.google.com/imgres?imgurl=https://www.glastonburyus.org/staff/GagneM/homework/PublishingImages/ruler1g.jpg&imgrefurl=http://product-category.com/search.php%3Fkeyword%3D1%2Bruler&usg=__sKtUm8nEQrdN8kQZOsvgXzJY5kE=&h=315&w=926&sz=14&hl=en&start=122&zoom=1&tbnid=k50X-KQ8bANNWM:&tbnh=58&tbnw=171&prev=/images%3Fq%3Druler%26hl%3Den%26biw%3D1396%26bih%3D742%26gbv%3D2%26tbs%3Disch:1&itbs=1&iact=rc&dur=282&ei=Xs0nTbKGFIWInAfl74zOAQ&oei=t8wnTYvvL5OOnweYuaSsDw&esq=11&page=5&ndsp=30&ved=1t:429,r:3,s:122&tx=145&ty=56
The correct answer is 3/8
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Write a fraction for each model.
• http://www.google.com/imgres?imgurl=http://visual.merriam-webster.com/images/plants-gardening/plants/tree/examples-broadleaved-trees_1.jpg&imgrefurl=http://visual.merriam-webster.com/plants-gardening/plants/tree/examples-broadleaved-trees_1.php&usg=__huyvq21fq9v8HK5FG4DgpB74fks=&h=384&w=550&sz=100&hl=en&start=78&zoom=1&tbnid=9NXYYlHZJxtbdM:&tbnh=117&tbnw=168&prev=/images%3Fq%3Dtrees%26hl%3Den%26biw%3D1396%26bih%3D742%26gbv%3D2%26tbs%3Disch:10%2C2207&itbs=1&iact=hc&vpx=808&vpy=90&dur=108&hovh=188&hovw=269&tx=108&ty=132&ei=5c4nTf6JAsvpnQeT9uX5AQ&oei=jM4nTaXJAdGLnQfrpJDtDQ&esq=2&page=4&ndsp=31&ved=1t:429,r:21,s:78&biw=1396&bih=742
How many birch trees out of the total trees are there? 2/6 or 1/3
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Write a fraction for each model.
• http://www.google.com/imgres?imgurl=http://visual.merriam-webster.com/images/plants-gardening/plants/tree/examples-broadleaved-trees_1.jpg&imgrefurl=http://visual.merriam-webster.com/plants-gardening/plants/tree/examples-broadleaved-trees_1.php&usg=__huyvq21fq9v8HK5FG4DgpB74fks=&h=384&w=550&sz=100&hl=en&start=78&zoom=1&tbnid=9NXYYlHZJxtbdM:&tbnh=117&tbnw=168&prev=/images%3Fq%3Dtrees%26hl%3Den%26biw%3D1396%26bih%3D742%26gbv%3D2%26tbs%3Disch:10%2C2207&itbs=1&iact=hc&vpx=808&vpy=90&dur=108&hovh=188&hovw=269&tx=108&ty=132&ei=5c4nTf6JAsvpnQeT9uX5AQ&oei=jM4nTaXJAdGLnQfrpJDtDQ&esq=2&page=4&ndsp=31&ved=1t:429,r:21,s:78&biw=1396&bih=742
• How many trees are circled?
4 out of 6 or 4/6 = 2*2 = 2/3 2*3
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Test your knowledgeA short exercise is demonstrated here at the “No Matter what the shape in your fractions are” http://math.rice.edu/~lanius/Patterns/index.html website by Cynthia Lanius.
When you are done writing your answers then scroll down to the bottom of the page and check your answers. How did you do?
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Test addition and subtraction with fractions•A short exercise is demonstrated here at the “More Fun Fractions” http://math.rice.edu/~lanius/Patterns/add.html website by Cynthia Lanius. •When you are done writing your answers then scroll down to the bottom of the page and check your answers. How did you do?