Category Archives: Math 9

Visual Patterns

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Hi and we’ll show how to use the tiles to create a linear visual pattern and solve the linear equations with tiles.

Here are the instructions.

  • Create a new visual pattern
  • Take photos of the first 3 figures

  • Make a table of values for your pattern

n   1    2    3

r    2   4    6

  • DESCRIBE your pattern

This pattern is adding by 2 titles in each figure

  • Create a linear equation for your pattern (ex. S = 4f – 2,     C = 3n+1 )

R = 2n + 0

  • DESCRIBE What would the 15th figure look like.

R = 2(15) + 0

R = 30

  • Write two questions related to your pattern. Provide the answers to your pattern at the end of your post.

What would the 35th figure look like?

R = 2n + 0

R = 2(35) + 0

R = 70

  • When the R = 240 what would be the figure number?

240 = 2n + 0

240 – 0 = 2n

240 = 2n

240/2 = 2n/2

120 = n

240 = 2(120) + 0

240 = 240

Unit 1 Summary

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Hi, I’m Caelum, and we learned how to evaluate powers which is exponential forms, expanded forms, and evaluated forms.

Write the exponential form, expanded form, and evaluated form:

Exponential form           Expanded form                                   Evaluated form

2^3                                 2 x 2 x 2                                             8

5^4                                 5 x 5 x 5 x 5                                       625

4^3                                 4 x 4 x 4                                             64

6^3                                 6 x 6 x 6                                             216

7^4                                 7 x 7 x 7 x 7                                       2401

 

That’s how I do exponential, expanded, and evaluated forms in math.