becky afghani, lbusd math curriculum office, 2004 properties beat the computer drill

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Becky Afghani, LBUSD Math Curriculum Office, 2004 Properti es Beat the Computer Drill

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Page 1: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

PropertiesBeat the Computer Drill

Page 2: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Directions

•A slide will appear showing an equation which illustrates a property.

•Say the property aloud before the computer can answer (6 sec).

•You will hear a sound when the slide changes.

Page 3: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + b = b + a

Page 4: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Commutative Property for

Addition

a + b = b + a

Page 5: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

ab + ac = a(b + c)

Page 6: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Distributive Property

ab + ac = a(b + c)

Page 7: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a b = b a

Page 8: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Commutative Property for

Multiplicationa b = b a

Page 9: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a 1 = a

Page 10: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative

Identity Propertya 1 = a

Page 11: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + 0 = a

Page 12: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Additive Identity Property

a + 0 = a

Page 13: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

(a b) c = a (b c)

Page 14: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Associative Property for

Multiplication(a b) c = a (b c)

Page 15: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

(a + b) + c = a + (b + c)

Page 16: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Associative Property for

Addition(a + b) + c = a + (b +

c)

Page 17: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a + (-a) = 0

Page 18: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Additive Inverse Property

a + (-a) = 0

Page 19: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a(b + c) = ab + ac

Page 20: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Distributive Property

a(b + c) = ab + ac

Page 21: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a 0 = 0

Page 22: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative

Property of Zeroa 0 = 0

Page 23: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a = 1a1

Page 24: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplicative Inverse Property

a = 1a1

Page 25: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = b, then

x + c = b + c

Page 26: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Addition Property of

EqualityIf x = b, then x + c = b + c

Page 27: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = b, then

x c = b c

Page 28: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Multiplication Property of

EqualityIf x = b, then x c = b c

Page 29: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

a = a

Page 30: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Reflexive Property of

Equalitya = a

Page 31: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

If a = b, then b =

a

Page 32: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Symmetric Property of

EqualityIf a = b, then b = a

Page 33: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

If a = b, and b = c, then a = c

Page 34: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Transitive Property of

EqualityIf a = b, and b = c,

then a = c

Page 35: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

If x = 3, then 5x =

15

Page 36: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Substitution Property of

EqualityIf x = 3, then 5x = 15

Page 37: Becky Afghani, LBUSD Math Curriculum Office, 2004 Properties Beat the Computer Drill

Becky Afghani, LBUSD Math Curriculum Office, 2004

Good Job!