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Fractions and Models Fractions are used to indicate amounts and describe parts of a whole or members of a group.
How Many Trapezoids make up one hexagon?      Two trapezoids    Hexagon
How many rhombuses make up one hexagon                   Rhombus How many rhombuses make up one hexagon?    Hexagon
Three rhombuses make up one hexagon. Three parts of a whole that has four parts is represented by ¾. Rhombi    Hexagon
What does the model at the left represent? 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  Write a mixed number that the model represents?
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=
Write a fraction or mixed number for each model. ,[object Object],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
Write a fraction or mixed number for each model. The correct answer is 3/8 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
Write a fraction for each model. How many birch trees out of the total trees are there?  2/6 or 1/3 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
Write a fraction for each model. ,[object Object],4 out of 6 or 4/6 = 2*2  = 2/3 2*3 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
Test your knowledge A 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?
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?

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Fractions and modeling

  • 1. Fractions and Models Fractions are used to indicate amounts and describe parts of a whole or members of a group.
  • 2. How Many Trapezoids make up one hexagon? Two trapezoids Hexagon
  • 3. How many rhombuses make up one hexagon Rhombus How many rhombuses make up one hexagon? Hexagon
  • 4. Three rhombuses make up one hexagon. Three parts of a whole that has four parts is represented by ¾. Rhombi Hexagon
  • 5. What does the model at the left represent? 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 Write a mixed number that the model represents?
  • 6. 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=
  • 7.
  • 8. Write a fraction or mixed number for each model. The correct answer is 3/8 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
  • 9. Write a fraction for each model. How many birch trees out of the total trees are there? 2/6 or 1/3 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
  • 10.
  • 11. Test your knowledge A 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?
  • 12. 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?