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------------------------------------------------ Use the number line to compare skip counting by 4s four times to skip counting by 8s two times.

How are skip counting by 4s and 8s alike? How are they different?

Skip counting by 4s four times results in more steps on the number line (4, 8, 12, 16) than skip counting by 8s two times (8, 16). Both sequences end at the same number, but get there in different ways, thereby highlighting differences in pace and progression.

Explanation:

Skip counting by 4s four times would result in the numbers: 4, 8, 12, and 16. On the other hand, skip counting by 8s twice would give you: 8 and 16. The two sequences are alike in that they both end at the same number, 16. However, they are different in how they reach this number. Counting by 4s has more steps (or counts), while counting by 8s reaches the end value quicker with fewer steps.

To visualize this on a number line, one could mark numbers 4, 8, 12, and 16 for the 'skip counting by 4s' sequence, while for 'skip counting by 8s', one may mark 8 and 16 only. In essence, the method of skip counting by 4s gives a more detailed progression towards the end number along the line, as compared to skip counting by 8s. This exercise essentially promotes higher-order thinking by making students compare and contrast mathematical sequences and methods.

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