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Investigation Notebook and Reflection Journal (3057.0K)

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<strong>Investigation</strong> 2<br />

I found this on<br />

pages .<br />

Develop & Underst<strong>and</strong>: B<br />

4. Use the steps in Parts a–c to help you write a rule for the<br />

number of triangles in the sequence.<br />

Stage 1<br />

Stage 2<br />

Stage 3<br />

Stage 4<br />

a. The number of triangles in a stage will be represented by<br />

.<br />

b. The stage number will be represented by .<br />

c. The pattern can be described as<br />

.<br />

d. A rule that represents the number of triangles in any stage is<br />

.<br />

<strong>Investigation</strong> 3<br />

Think<br />

&<br />

Discuss<br />

5. How can you show that two rules will give the same result for<br />

every stage?<br />

I found this on page .<br />

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.<br />

I found this on page .<br />

Develop & Underst<strong>and</strong>: A<br />

6. Two rules were written for the following dot sequence,<br />

d = n + 6 <strong>and</strong> d = 3 · n, where n represents the stage number,<br />

<strong>and</strong> d represents the number of dots in the stage.<br />

Stage 1<br />

Stage 2<br />

Stage 3<br />

Stage 4<br />

Determine whether each rule correctly describes the sequence. For<br />

each rule, explain why or why not.<br />

Lesson 3.3 33

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