© 2007 m. tallman ? justin purchases 4 new books every month. how many books will he have after 4...

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© 2007 M. Tallman

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© 2007 M. Tallman

© 2007 M. Tallman

?

Justin purchases 4 new books every month. How many books will he have after 4 months ?

28

1 Month

2 Months 3 Months 4 Months

O Months

164

7

123

82

41

00

bm

m = monthsm = monthsb = booksb = books

Rule ? Rule: b = m x 4

© 2007 M. Tallman

Rule: b = m x 4(b = 4m)

28

164

7

123

82

41

00

bm

b = booksb = booksm = monthsm = months

Use the function rule to answer these questions:

How many books will Justin have after 10 months?

Justin has 32 books. How many months have passed?

How many books will Justin have after 6 months?

Justin has 48 books. How many months have passed?

40

8

24

12

© 2007 M. Tallman

76

65

54

43

32

21

# of Cubes (c)

Element # (e)

1 2 3

4 5 6

Rule: c = e + 1, Rule ?

© 2007 M. Tallman

Rule: c = e + 1

Use the function rules to answer these questions:

How many cubes are in element 38?

Which element has 37 cubes?

How many cubes are in element 1,001?

Which element has 78 cubes?

39

36

1,002

77 76

65

54

43

32

21

# of Cubes (c)

Element # (e)

© 2007 M. Tallman

126

105

84

63

42

21

# of Cubes (c)

Element # (e)

1 2 3

4 5 6

Rule: c = e × 2

Rule ?

© 2007 M. Tallman

Rule: c = e x 2

Use the function rules to answer these questions:

How many cubes are in element 24?

Which element has 36 cubes?

How many cubes are in element 50?

Which element has 90 cubes?

48

18

100

45 126

105

84

63

42

21

# of Cubes (c)

Element # (e)

© 2007 M. Tallman

ordered pair- a pair of numbers that gives a location of a point on a grid.

coordinates- The numbers in an ordered pair.

plot- to graph a point on a coordinate plane.

axis- (plural: axes) a horizontal or vertical number line used to locate points on a graph.

© 2007 M. Tallman

(7, 6)

X-Coordinate

Y-Coordinate

© 2007 M. Tallman

X

y

Graph the ordered pair (7, 6) on a coordinate system.

Step 1: Start at the origin (0,0).

Step 2: Since the x-coordinate is 7, move 7 units to the right.

Step 3: Since the y-coordinate is 6, move 6 units up. Draw a dot. 1 2 3 4 5 6 7 8

8 7 6 5 4 3 2 1

(7, 6)

0

© 2007 M. Tallman

X

y

Graph the ordered pair (0, 5) on a coordinate system.

Step 1: Start at the origin (0,0).

Step 2: Since the x-coordinate is 0, move 0 units to the right.

Step 3: Since the y-coordinate is 5, move 5 units up. Draw a dot. 1 2 3 4 5 6 7 8

8 7 6 5 4 3 2 1

(0, 5)

0

© 2007 M. Tallman

X

y

Identify the ordered pair for the point.

1 2 3 4 5 6 7 8

8 7 6 5 4 3 2 1

0

(6, 4)

(6, 0)

(2, 2)

(4, 6)(8, 7)

(2, 8)

© 2007 M. Tallman

1

4

3

2

7

6

5

?

?

?

?

?

?

?

0

3

2

1

6

5

4

dh

d = h + 1

d = + 1h0d = 1

1d = 2

2d = 3

3d = 4

4d = 5

5d = 6

6d = 7

(6, 7)

(5, 6)

(4, 5)

(3, 4)

(2, 3)

(1, 2)

(0, 1)

Ordered Pair

© 2007 M. Tallman

0 1 2 3 4 5 6 7 8 9 10

11

12

13

14

1

2

3

4

5

6

7

8

9

10

11

12

13

14

d = h + 1

(0, 1)10

(3, 4)43

(2, 3)32

(1, 2)21

(6, 7)76

(5, 6)65

(4, 5)54

Ordered Pairdh

d = h + 1

y

x