Identify and extend repeating shape patterns.
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“Properties of repeating patterns of shapes can be explored with division. For example, to determine the 100th shape in a pattern that consists of repetitions of the sequence “square, circle, triangle,” the fact that when we divide 100 by 3 the whole number quotient is 33 with remainder 1 tell us that after 33 full repeats, the 99th shape will be a triangle (the last shape in the repeating pattern), so the 100th shape is the first shape in the pattern, which is a square” (OA Progression, p. 31). Thus, Lesson 16’s additional cluster content of repeating shape patterns connects across clusters to the major work of interpreting remainders (4.OA.3) as well as across domains to the major work of multi-digit division (4.NBT.6).
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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Ms. Roth used a patterned border around her bulletin board. She then posted some student work on her bulletin board. This is what it looks like:
What part of the border did Ms. Roth cover up?
A pattern is shown below.
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Belinda made the following shape pattern.
What will be the $${100^{\mathrm{th}}}$$ term in the pattern? Show or explain how you know.
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