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Tell students to close their books or devices (or to keep them closed). Display the table from the Task Statement for all to see. Give students 1 minute of quiet think time, and ask them to be prepared to share at least one thing they notice and one thing they wonder. Record and display responses for all to see without editing or commentary.
If not mentioned by students, make sure to emphasize the following ideas:
Tell students to open their books or devices and explain that they can skip one entry in the table, but they have to be able to explain why they skipped it. Give students 5–6 minutes to complete the remaining questions before a whole-class discussion.
Complete the table to explore patterns in the exponents when dividing powers of 10. Use the “expanded” column to show why the given expression is equal to the single power of 10. You may skip a single box in the table, but if you do, be prepared to explain why you skipped it.
| expression | expanded | single power of 10 |
|---|---|---|
The goal of this discussion is to reinforce the exponent rule for dividing powers of 10. Introduce and explain the visual display prepared earlier. This display should be kept visible to students throughout the remainder of the unit.
Continue to reinforce student understanding of this rule by writing out an expanded form of each expression when discussing the following questions:
Arrange students in groups of 2. Give students 5 minutes of quiet work time followed by a partner discussion and then a whole-class discussion.
So far we have looked at powers of 10 with exponents greater than 0. Consider what would happen to our patterns if we included 0 as a possible exponent?
Write
Write
The purpose of this discussion is to solidify the concept that
Use Critique, Correct, Clarify to give students an opportunity to improve a sample written response by correcting errors, clarifying meaning, and adding details.
Next, introduce and explain the visual display prepared earlier. This display should be kept visible to students throughout the remainder of the unit.
Arrange students in groups of 2. Give them 5 minutes of quiet work time before asking students to share their responses with their partner. Follow with a whole-class discussion.
Write as many expressions as you can that have the same value as
The goal of this discussion is for students to share different expressions that have the same value as
To include more students in the discussion, consider asking: