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# Basic - Fractions and Mixed Numbers

Adding and subtracting fractions and mixed numbers, multiplying and dividing fractions and mixed numbers.

by

Tweet## Keri Wendt

on 19 November 2012#### Transcript of Basic - Fractions and Mixed Numbers

On your sticky note:

1. Name.

2.

3.

4. On your sticky note:

1. Name.

2.

3.

4. CORRECT Changing the Denominator Dividing Mixed Numbers FRACTIONS Multiplying Adding (cc) photo by Franco Folini on Flickr (cc) photo by Metro Centric on Flickr Before you can add or subtract,

you must be able to find a

common denominator. We've

done this a lot, but let's practice

a few more times. 3 __

4 12 = 2 __

6 18 = 5 15

8 = 3 6

12 = So when we add or subtract, we just find a common

denominator and add or subtract the numerators. To add ___________

find a ________ __________

then _____ the ___________. 1 4

7 7 --- + --- = 3 5

3 8 --- + --- = 7 1

10 6 ---- + --- = 4 1

5 5 --- - --- = Subtracting To subtract ___________

find a ________ __________

then _______ the ___________. 2 2

3 5 --- - --- = 3 4

6 9 --- - --- = The gas tank in the family car was 9/10 full

when you left your house. When you arrived

at the store, the tank was 7/15 full. What

fraction of a tank of gas did you use during

the trip? Suppose you are using nails 5/6 in

long to nail plywood 1/4 in think to

a beam. How much of the nail

extends into the beam? EXIT TASK You rowed 3/4 km. Then, your

friend rowed 8/10 km.

A. Who rowed farther?

B. By how much?

C. How far did you go in all? HOMEWORK:

Page 194 25-35 It all starts with converting

to improper fractions. 3 -- = 2

5 4 -- = 1

3 6 -- = 3

7 Estimate First!!! When adding or subtracting ____________ ___________, first add or subtract the ________ numbers then find a _________ _____________ for the fractions and add or subtract the numerators. Simplify - if it is an _________ fraction make it a mixed number. If it is negative, ________ a whole number. How much heavier is lb than lb? EXIT TASK Multiplying is simpler - just

multiply straight across. Multiply numerator•numerator.

Multiply denominator•denominator. Find the products of each. SIMPLIFY - as always. Mixed Numbers:

convert to an improper fraction. Page 205 #17-29 ODDS Last Problem & Exit Task Flip the fraction and

multiply straight across. Find the improper

fraction, flip and multiply straight across. ____ the fraction

and ________

straight ______. Find the ________

fraction, ____ and

________ straight

across. Project Start off with

your recipe

of your fav

Thanksgiving

food. See how many it serves: Multiply it to feed our entire class. Use that number to multiply each ingredient to feed our class. Practice Multiplication Practice Addition Add all the amounts of dry ingredients together.

Add all the amounts of wet ingredients together. On the construction paper: Name of Food Original Recipe New Servings: New Amounts of Ingredients: Total Dry: Total Wet: Operations with Fractions Monday

Nov 5 I can add and subtract fractions in the simplest way possible for me. A student added 3/4 and 4/6 below. Are they correct? Explain. Fix it if they are not correct.

Is there an easier way to add these? 3 4 7

6 4 6 4 24 + = 1. Prime factors of 28:

1,2,4,7,14,28

4,7

2,2,7 2. GCF of 12 and 18

12

6 3. 8/28 in simplest form.

4/7

2/7 4. LCM of 9 and 6

3

18 3/7 + 5/14

15/98

8/14

8/98 1 3/4 + 2 7/8 =

3 1/2 - 2 1/4 = HW Pg 200 #50-54 Tuesday

Nov 6 I can add and subtract fraction in the simplest way possible for me. Answer each:

1. 2. 2 + 3 4 - 2 3

4 1

2 2

3 5

12 Pg 194

#25-35

ODDS Wed

Nov 7 I can add and subtract mixed numbers in the simplest way possible for me. A student solved the question below. What do they need to fix?

1. 2 - 1 = 1 1

4 1

2 1

4 Pg 194

#12-20 Renaming Take from a whole number when subtracting or fix an improper fraction in a mixed number you added. 3 - 2 = 1 5

3 6 3 + 4 = 2 3

5 4 HW Pg 200 #50-54 Thursday

Nov 8 Pg 200

#50-54 I can multiply fractions and mixed numbers. Miss Wendt's mom is making her a quilt for her new apartment. She bought 4 1/2 yards of fabric and has only used 3/4 of it. How much fabric has she used? How much does she have left? Entry Task:

1) 1.347 + 23.89

2) 2/5 + 3/6 =

3) What is the rule for adding decimals?

4) What is the rule for adding fractions?

5) How are these rules similar?

6) How are they different? Target: I can multiply fractions. Tues.

Nov 13 I need to make 2 1/2 batches of these cookies. If they require 1 1/2 cups of flour, how much do I need for 2 1/2 batches of them? One requires 1/4 cups of butter. How much for 2 1/2 batches? Name

Entry Tasks

Nov 13 - 16 Wed

Nov 14 Target: I can multiply mixed numbers. Entry Task:

Take a sticky note from Miss Wendt.

Fold it into fourths, color one fourth.

Then fold it the other way into thirds.

Color one third.

How much of the paper is colored by both? Pg 205

#1-16 SHOW

WORK Pg 205

#20-30

SHOW

WORK Thurs

Nov 15 Target: I can divide fractions. Entry Task:

Molly wants to make 2 1/2 batches of cornbread for thanksgiving. If one batch takes 1 3/4 cups of cornmeal, how much will she need for 2 1/2? QUIZ Entry Task:

1. What is 2 1/2 of 5 3/4 ?

2. How many 2/3 are there in 2 1/6?

3. What is the rule for multiplying fractions?

4. What is the rule for multiplying mixed numbers?

5. What is the rule for dividing fraction?

6. What is the rule for dividing mixed numbers? I can divide

mixed numbers Fri

Nov 16 Pg 209 #1-6

Pg 210 #19-22

Show work Review: Renaming QUIZ 4

- 3 1

3

5

9 Miss Wendt needs to serve exactly 30. What should she multiply each ingredient by? When you get your note,

look over what you missed.

Full transcript1. Name.

2.

3.

4. On your sticky note:

1. Name.

2.

3.

4. CORRECT Changing the Denominator Dividing Mixed Numbers FRACTIONS Multiplying Adding (cc) photo by Franco Folini on Flickr (cc) photo by Metro Centric on Flickr Before you can add or subtract,

you must be able to find a

common denominator. We've

done this a lot, but let's practice

a few more times. 3 __

4 12 = 2 __

6 18 = 5 15

8 = 3 6

12 = So when we add or subtract, we just find a common

denominator and add or subtract the numerators. To add ___________

find a ________ __________

then _____ the ___________. 1 4

7 7 --- + --- = 3 5

3 8 --- + --- = 7 1

10 6 ---- + --- = 4 1

5 5 --- - --- = Subtracting To subtract ___________

find a ________ __________

then _______ the ___________. 2 2

3 5 --- - --- = 3 4

6 9 --- - --- = The gas tank in the family car was 9/10 full

when you left your house. When you arrived

at the store, the tank was 7/15 full. What

fraction of a tank of gas did you use during

the trip? Suppose you are using nails 5/6 in

long to nail plywood 1/4 in think to

a beam. How much of the nail

extends into the beam? EXIT TASK You rowed 3/4 km. Then, your

friend rowed 8/10 km.

A. Who rowed farther?

B. By how much?

C. How far did you go in all? HOMEWORK:

Page 194 25-35 It all starts with converting

to improper fractions. 3 -- = 2

5 4 -- = 1

3 6 -- = 3

7 Estimate First!!! When adding or subtracting ____________ ___________, first add or subtract the ________ numbers then find a _________ _____________ for the fractions and add or subtract the numerators. Simplify - if it is an _________ fraction make it a mixed number. If it is negative, ________ a whole number. How much heavier is lb than lb? EXIT TASK Multiplying is simpler - just

multiply straight across. Multiply numerator•numerator.

Multiply denominator•denominator. Find the products of each. SIMPLIFY - as always. Mixed Numbers:

convert to an improper fraction. Page 205 #17-29 ODDS Last Problem & Exit Task Flip the fraction and

multiply straight across. Find the improper

fraction, flip and multiply straight across. ____ the fraction

and ________

straight ______. Find the ________

fraction, ____ and

________ straight

across. Project Start off with

your recipe

of your fav

Thanksgiving

food. See how many it serves: Multiply it to feed our entire class. Use that number to multiply each ingredient to feed our class. Practice Multiplication Practice Addition Add all the amounts of dry ingredients together.

Add all the amounts of wet ingredients together. On the construction paper: Name of Food Original Recipe New Servings: New Amounts of Ingredients: Total Dry: Total Wet: Operations with Fractions Monday

Nov 5 I can add and subtract fractions in the simplest way possible for me. A student added 3/4 and 4/6 below. Are they correct? Explain. Fix it if they are not correct.

Is there an easier way to add these? 3 4 7

6 4 6 4 24 + = 1. Prime factors of 28:

1,2,4,7,14,28

4,7

2,2,7 2. GCF of 12 and 18

12

6 3. 8/28 in simplest form.

4/7

2/7 4. LCM of 9 and 6

3

18 3/7 + 5/14

15/98

8/14

8/98 1 3/4 + 2 7/8 =

3 1/2 - 2 1/4 = HW Pg 200 #50-54 Tuesday

Nov 6 I can add and subtract fraction in the simplest way possible for me. Answer each:

1. 2. 2 + 3 4 - 2 3

4 1

2 2

3 5

12 Pg 194

#25-35

ODDS Wed

Nov 7 I can add and subtract mixed numbers in the simplest way possible for me. A student solved the question below. What do they need to fix?

1. 2 - 1 = 1 1

4 1

2 1

4 Pg 194

#12-20 Renaming Take from a whole number when subtracting or fix an improper fraction in a mixed number you added. 3 - 2 = 1 5

3 6 3 + 4 = 2 3

5 4 HW Pg 200 #50-54 Thursday

Nov 8 Pg 200

#50-54 I can multiply fractions and mixed numbers. Miss Wendt's mom is making her a quilt for her new apartment. She bought 4 1/2 yards of fabric and has only used 3/4 of it. How much fabric has she used? How much does she have left? Entry Task:

1) 1.347 + 23.89

2) 2/5 + 3/6 =

3) What is the rule for adding decimals?

4) What is the rule for adding fractions?

5) How are these rules similar?

6) How are they different? Target: I can multiply fractions. Tues.

Nov 13 I need to make 2 1/2 batches of these cookies. If they require 1 1/2 cups of flour, how much do I need for 2 1/2 batches of them? One requires 1/4 cups of butter. How much for 2 1/2 batches? Name

Entry Tasks

Nov 13 - 16 Wed

Nov 14 Target: I can multiply mixed numbers. Entry Task:

Take a sticky note from Miss Wendt.

Fold it into fourths, color one fourth.

Then fold it the other way into thirds.

Color one third.

How much of the paper is colored by both? Pg 205

#1-16 SHOW

WORK Pg 205

#20-30

SHOW

WORK Thurs

Nov 15 Target: I can divide fractions. Entry Task:

Molly wants to make 2 1/2 batches of cornbread for thanksgiving. If one batch takes 1 3/4 cups of cornmeal, how much will she need for 2 1/2? QUIZ Entry Task:

1. What is 2 1/2 of 5 3/4 ?

2. How many 2/3 are there in 2 1/6?

3. What is the rule for multiplying fractions?

4. What is the rule for multiplying mixed numbers?

5. What is the rule for dividing fraction?

6. What is the rule for dividing mixed numbers? I can divide

mixed numbers Fri

Nov 16 Pg 209 #1-6

Pg 210 #19-22

Show work Review: Renaming QUIZ 4

- 3 1

3

5

9 Miss Wendt needs to serve exactly 30. What should she multiply each ingredient by? When you get your note,

look over what you missed.