Patterns 1

How many cubes in the building with 1 0 cubes for its tower?

How many cubes in the building with 100 cubes for its tower?

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

The building with 1 cube for its tower takes 6 cubes to build.

The building with 2 cubes for its tower takes 7 cubes to build.

The building with 3 cubes for its tower takes 8 cubes to build.

Cubes in Tower

1 2 3

10 100

Cubes in All

6 7 8

17

18

Patterns 2

A kite with 1 cube for its tail takes 10 cubes to build.

A kite with 2 cubes for its tail takes 11 cubes to build .

A kite with 3 cubes for its tail takes 12 cubes to build.

How many cubes to build a kite with 10 cubes for its tail?

How many cubes to build a kite with 100 cubes for its tail?

Cubes in Tail

1 2 3

10 100

Cubes in All

10 11 12

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

III

Patterns 3

v

\

/

/

V

How many cubes to build a space house with 10 floors?

How many cubes to build a space house with 100 floors?

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

A space house with 1 floor takes 3 cubes to build.

A space house with 2 floors takes 6 cubes to build.

A space house with 3 floors takes 9 cubes to build.

Floors

1 2 3

10 100

Cubes

3 6 9

19

Patterns 4

/" /' /' /'

I!I!I!I!I!I!I!I!I!I

./'/"'/"'/./'///'

Ill!!!!!!!!!!!!!!!!

1 blue car, 5 cubes for the carport.

2 blue cars, 10 cubes for the carports.

./' /'" /'" ./' /" /' /'" ./' ./' /'" /'" ./' 3 blue cars, 15 cubes for the carports.

l!l!l!l!l!l!l!l!l!l

20

How many cubes for the carports when there are 10 cars?

How many cubes for the carports when there are 100 cars?

V

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Cubes Cars in Carports

1 2 3

10 100

5 10 15

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

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Patterns 5

How many bricks to make a well with 10 layers?

How many bricks to make a well with 100 layers?

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

A well with 1 layer takes 8 bricks.

A well with 2 layers takes 16 bricks.

A well with 3 layers takes 24 bricks.

Layers Bricks

1 2 3

10 100

8 16 24

21

Patterns 6

Cow

Cow Cow

Cow Cow Cow 1:::::::::::::::::::1

How many cubes to build a fence for 10 cows?

How many cubes to build a fence for 100 cows?

22

1 cow, 8 cubes to build a fence.

2 cows, 10 cubes to build a fence.

3 cows, 12 cubes to build a fence.

Cubes Cows

1 2 3

10 100

in Fence

8 10 12

ALGEBRA THINKING : First Experiences @ 1990 Creative Publications

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I-

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v

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Patterns 7

m:

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w A

[ll

1 arch takes 7 cubes to build.

2 arches take 11 cubes to build.

3 arches take 15 cubes to build.

Arches How many cubes to build 10 arches?

How many cubes to build 100 arches?

ALGEBRA THINKING: First Experiences © 1990 Creative Publications

1 2 3

10 100

Cubes

7 11 15

23