IM Alg1.6.2 Lesson: How Does it Change?

How does each expression represent the number of small squares in the figure?
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALYAAACQCAYAAAClBZEvAAAFAUlEQVR4nO3bsUprWxCA4dVpJbFQk6CFplQQ0RQWahBJJdiJT6AkjWApSkCwEfQRfAKxsBIUApa2IiktRBt7ERHmVLebgdnufU6y1v0/mHbYkB+ymgkCJCj0+wOAv4GwkSTCRpIIG0kibCSJsJEkwkaSCBtJImwkibCRJMJGkggbSSJsJImwkaRfh93r9aTb7TL/eJ6fn4v8/ZP1q7B7vZ6Uy2UJITD/eMbHx+Xh4aHoDpLzq7AfHx8lhCCfn5+5P+Di4kImJydz7xERabfbsr6+XsiuZrMpu7u7heyanp6Ws7Oz3Ht+fn4khCDX19cFfFXaCNtA2HEjbANhx42wDYQdN8I2EHbcCNtA2HEjbANhx42wDYQdN8I2EHbcCNtA2HEjbANhx42wDYQdN8I2EHbcCNtA2HEjbANhx42wDYQdN8I2EHbccoV9eHgonU4n1zSbTRkZGcm9p9PpSL1el+np6UJ21Wo1WVxcLGRXqVSSjY2N3HuOj48J2ylX2CsrK9JoNHJNrVaToaGh3HsajYZUq1UplUqF7BodHZVKpVLIruHhYZmZmcm9Z21tjbCdeIoYeIrEjbANhB03wjYQdtwI20DYcSNsA2HHjbANhB03wjYQdtwI20DYcSNsA2HHjbANhB03wjYQdtwI20DYcSNsA2HHjbANhB03wjYQdtwI20DYcSNsA2HHjdOwCE/Dtre3C/muQZ3X19f+hs1pWH9Ow2ZnZ3PvWl5elhCC1Ov13Lvm5uYkhCCrq6uF9FAul/sbNk8Rn0F8iry/v0sIQZ6ennLvurm5kRCCfH9/5951fn4uU1NTufcQtoGw/QhbQdh+hO1H2AbC9iNsBWH7EbYfYRsI24+wFYTtR9h+hG0gbD/CVhC2H2H7EbaBsP0IW0HYfoTtR9gGwvYjbAVh+xG2H2EbCNuPsBWE7UfYfoRtIGw/wlYQth9h+3FBYwwXNP/jCxpuHn0ziDePBwcHEkKQVquVe9fOzo6EEOTo6Cj3rmazKdVqtb9h8xTx4SniNxBPEcL2IWw/wlYQth9hKwg7G8L2I2wFYfsRtoKwsyFsP8JWELYfYSsIOxvC9iNsBWH7EbaCsLMhbD/CVhC2H2ErCDsbwvYjbAVh+xG2grCzIWw/wlYQth9hKwg7G8L2I2wFYfsRtuK/sBnmb8zExER/w+Y0jNOwTofTMBVPET+eIn6EbSBsP8JWELYfYfsRtoGw/QhbQdh+hO1H2AbC9iNsBWH7EbYfYRsI24+wFYTtR9h+hG0gbD/CVhC2H2H7EbaBsP0IW0HYfoTtR9gGwvYjbAVh+xG2H2EbCNuPsBWE7UfYfpyGMQM3fT8Nu729lW63m2va7baMjY3l3tPtdmVra0sWFhYK2bW0tCSbm5uF7KpUKrK3t5d7z/39vYQQ5OTkJPeuq6srCSHI5eVl7l2np6cSQpC7u7vcu1qtViH/4DxFDDxF/JJ7ihC2D2H7EbaCsP0IW0HY2RC2H2ErCNuPsBWEnQ1h+xG2grD9CFtB2NkQth9hKwjbj7AVhJ0NYfsRtoKw/QhbQdjZELYfYSsI24+wFYSdDWH7EbaCsP0IW0HY2RC230CEzaEBhwbdbkKHBm9vbzI/P9/3EyImzdnf3+9P2CIiHx8f8vLywjCFz9fXV//CBgYZYSNJhI0kETaSRNhIEmEjSYSNJBE2kkTYSBJhI0mEjSQRNpJE2EjSH5fBi5d3N8j4AAAAAElFTkSuQmCC[/img][br]Expression A: [math]6\cdot8-2\cdot3[/math]
Expression B: [math]4\cdot8+2\cdot5[/math]
Expression C: [math]8+8+8+8+5+5[/math]
Expression D: [math]5\cdot6+3\cdot4[/math]
Study the 2 patterns of dots.
[img]data:image/png;base64,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[/img][br][img]data:image/png;base64,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[/img][br][br]How are the number of dots in each pattern changing?
How would you find the number of dots in the 5th step in each pattern?[br]
Complete the table with the number of dots in each pattern.
Plot the number of dots at each step number for Pattern 1.
Plot the number of dots at each step number for Pattern 2.
Explain why the graphs of the 2 patterns look the way they do.
Here is a pattern of squares.
[img]data:image/png;base64,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[/img][br]Is the number of small squares growing linearly? Explain how you know.
Complete the table.
Is the number of small squares growing exponentially? Explain how you know.[br]
[size=150]Han wrote [math]n\left(n+2\right)-2\left(n-1\right)[/math] for the number of small squares in the design at Step [math]n[/math].[/size][br][br]Explain why Han is correct.[br]
Label the picture in a way that shows how Han saw the pattern when writing his expression.
Close

Information: IM Alg1.6.2 Lesson: How Does it Change?