multiplying and dividing fractions reporting categories: computation and algebraic relationships...

21
Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Upload: ashlynn-farmer

Post on 26-Dec-2015

219 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Multiplying and Dividing FractionsReporting Categories: Computation and Algebraic Relationships

ELPS: Learning 1A

TEKS 5.3JL, 5.1A

Page 2: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

KWL

What I Know

K

What I Want to Know

W

What I Learned

L

Page 3: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Review: Multiplying Fraction

Page 4: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Review: Multiplying Fraction

Page 5: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Review: Multiplying Fraction

74

32

218

Page 6: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Review: Multiplying Fraction

Page 7: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing FractionsJust like multiplying but with a flip.

Page 8: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing Fractions

56

74

Page 9: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing Fractions

First thing is to rewrite the math problem into a multiplication problem.

By first, writing the first fraction.

56

Page 10: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing Fractions

Now we add the multiplication symbol.

56

Page 11: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing Fractions

This next part is a little tricky, we need to flip the second fraction.

This is called the reciprocal.

56

47

Page 12: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Dividing Fractions

Now we can solve the original division problem in the form of a Multiplication problem by getting the reciprocal of the second fraction.

56

47

2042

Page 13: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Lowest Terms for the Final Answer

Now we need to find the highest common divisor

56

47

2042

1,2,4,5,10,201,2,3,6,7,14,21,42

Page 14: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Lowest Terms for the Final Answer

Now we need to find the highest common divisor

56

47

2042

÷2÷2

1021

Page 15: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Real World

Examples:

Would like to know how much half of a ¾ cake is.

I have 2/3 of a tank of gas, how much can I use in the next 2 days.

Page 16: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Guided Practice

I have 2/3 of a tank of gas, how much can I use in the next 2 days.

23

21

23

12

26

1,21,2,3,6

Page 17: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Guided Practice

I have 2/3 of a tank of gas, how much can I use in the next 2 days.

23

21

23

12

26÷2÷2

13

Page 18: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Individual Activity

WorksheetProblem #1 3/4 ÷ 5/8=Problem #2 1/12 ÷ 1/4 =Problem #3 7/12 ÷ 2/3 =

Page 19: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

KWL

What I Know

K

What I Want to Know

W

What I Learned

L

Page 20: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Things to Keep in Mind

Rewrite division problem into a multiplication problem.

Second fraction does a flip, reciprocal.

If need be, lowest terms.

Page 21: Multiplying and Dividing Fractions Reporting Categories: Computation and Algebraic Relationships ELPS: Learning 1A TEKS 5.3JL, 5.1A

Extended Activity