[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”true” clicktoclose=”true”]
[accordion-item title=”What do you notice? What do you wonder?”]

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[accordion-item title=”Spark: Image”]

Going-In-Circles-Day-1-Circumference-vs-Height-02-Spark-Image.jpeg

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[accordion-item title=”Have Another Look…”]

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[accordion-item title=”Estimation: Prompt”]

Which is longer: the distance around the top of the glass or the height of the glass?

Make an estimate.

Going-In-Circles-Day-1-Circumference-vs-Height-04-Spark-Estimate-Prompt.001.jpeg

[/accordion-item]
[/accordion]

[accordion openall="false" clicktoclose="true" state="closed" autoclose="false" openfirst="true" clicktoclose="true"]
[accordion-item title=”Investigate”]

Explore various glasses and/or cylindrical objects and compare the circumference of a base from these cylinders to its height using a non-standard measuring tool (i.e.: string, paper strip, etc.).

Record your results.

Are the results what you expected? Were there any surprises?

Record these reflections as well.

Going-In-Circles-Day-1-Circumference-vs-Height-05-Sense-Making-Image-Investigation-Prompt.001.jpeg

[/accordion-item]

[accordion-item title=”Prompt Video”]

[/accordion-item]

[accordion-item title=”Prompt Image”]

Which is longer: the circumference or the height?

Update your estimate.

Going-In-Circles-Day-1-Circumference-vs-Height-07-Sense-Making-Prompt-Image.001.jpeg

[/accordion-item]

[accordion-item title=”Prompt to Extend”]

About how much longer?

Convince your math community.

Going-In-Circles-Day-1-Circumference-vs-Height-08-Sense-Making-Prompt-Image-2-How-much-longer.001.jpeg

[/accordion-item]
[/accordion]

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”true” clicktoclose=”true”]
[accordion-item title=”Consolidation Animation Video”]

[/accordion-item]

[accordion-item title=”Consolidation Animation Image”]

Going-In-Circles-Day-1-Circumference-vs-Height-11-Next-Moves-Consolidation-Image-2-Difference.001.jpeg

[/accordion-item]

[accordion-item title=”Reveal Video”]

[/accordion-item]

[accordion-item title=”Reveal Image”]

Going-In-Circles-Day-1-Circumference-vs-Height-13-Next-Moves-Reveal-Image.png

[/accordion-item]
[/accordion]

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”true” clicktoclose=”true”]
[accordion-item title=”Consolidation Prompt #1: “]

About how many times longer is the circumference of the top of the glass than the diameter?

How might this relationship between the circumference and the diameter be helpful when measuring other circular objects?

Going-In-Circles-Day-1-Circumference-vs-Height-14-Next-Moves-Consolidation-Prompt-1.001.jpeg

[/accordion-item]

[accordion-item title=”Consolidation Prompt #1: Reveal Video”]

 

[/accordion-item]

[accordion-item title=”Consolidation Prompt #1: Reveal Image”]

Going-In-Circles-Day-1-Circumference-vs-Height-16-Next-Moves-Consolidation-Prompt-1-Reveal-Image-big.png

[/accordion-item]

[accordion-item title=”Consolidation Prompt #2:”]

What might a general rule be for how you could tell whether the height of a glass was longer or shorter than the circumference?

Convince your peers.

Going-In-Circles-Day-1-Circumference-vs-Height-17-Next-Moves-Consolidation-Prompt-2.001.jpeg

[/accordion-item]
[/accordion]

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