Warm Up

1)What determines a plane?

2) Can the line m and the point A determine a plane? Explain.

C

B

A

m

Answer following questions:

Warm Up Choose any 2 points named B and C on the line m.

Postulate says that 2 pointsdetermine only 1 line. So linem is exactly the same as lineBC.

A, B, and C are noncollinear.Another postulate says that 3 noncollinear determines only 1 plane. Point Aand the line m determine only aplane.

C

B

A

m

AdditionMixed Fraction

Let’s do some review work before we begin.

What is proper fraction?fraction whose numerator is smaller then the denominator

What is improper fraction? fraction whose numerator is larger or equal

than to its denominatorWhat are mixed numbers? sum of a whole number and a proper

fraction

Change the mixed number into an improper fraction

437

437

43

17

43

4147

431

4328

Method 1

Method 2

437

4347

431

How else can I add the mixed numbers?

521

512+

533

Add Mixed Numbers

327

2115

327

2115

32

21715

64

6322

6722

Add Mixed Numbers

61122

6722

61)122(

6123

6123

Procedure for Method 1

Step 1 Add the whole number parts separately

Step 2 Add the fraction separately. If the sum is an improper fraction, change it to mixed number and add the whole number parts again.

Add Mixed Numbers

2115

327

33

2115

6315

22

327 6

47

6722

61122

6123

Procedure for Method 2

Step 1 Find the LCD

Step 2 Add the fraction separately. If the sum is an improper fraction, change it to mixed number and add the whole number parts again.

Add Mixed Numbers

327

2115

323

231

6139

64693

6123

)2(3)2(23

)3(2)3(31

Procedure for Method 3

Step 1 Change mixed numbers to improper fraction.

Step 2 Add improper fractions and simplify the answers.

Let’s Practice!

What did you learn today?