fractions and modeling

Fractions and ModelsFractions 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

Hexagon

How many rhombuses make up one hexagon?

RhombiThree rhombuses make up one hexagon.

Three parts of a whole that has four parts is represented by ¾.

Hexagon

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

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.

• 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

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

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

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

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?

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?