Starter: In your teams, take turns talking about whether the following will be positive or negative and why. Then simplify each expression. Be ready to be accountable for your team’s work.
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_
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_
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e)
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-9-(-9)=
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f)
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-7(9)=
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g)
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36/(-6)=
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h)
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-1+(-7)=
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i)
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-9(-9)=
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j)
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-63/(9)=
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k)
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6+(-6)=
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l)
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-1-(-7)=
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m)
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81/-9=
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n)
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-7+9=
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o)
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6-(-6)=
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p)
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-1(-7)=
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Explore: What strategies can you use to simplify
arithmetic expressions?
Teacher: (5 minutes)
After attendance has been taken, click on the expressions in the first row, one at a time, to show the students video examples of what I expect them to share with the class. While the videos are playing, spread out the student name cards upside down on the front table. Pick one card and have the student named come up and hand them the student mic. (Click here for quick instructions about the cards.)
After attendance has been taken, click on the expressions in the first row, one at a time, to show the students video examples of what I expect them to share with the class. While the videos are playing, spread out the student name cards upside down on the front table. Pick one card and have the student named come up and hand them the student mic. (Click here for quick instructions about the cards.)
Whole Class: (10 minutes)
Students will take turns leading the class as we’ve done
before: the first student selected will talk about the expression for letter e,
and when finished, pick a card to show who will talk about letter f.
Continue for 10 minutes or until letter p is complete, whichever is
sooner.
For your expression, tell whether the simplified
expression is positive or negative, explain why, and then tell how to simplify
the expression (get the answer to the problem).
If not all problems are solved in 10 minutes,
move on to the next activity.
Team Practice: (10 minutes)
In your teams, starting with the person with the
highest desk number, take turns simplifying the expressions in the deck below until
everyone has solved 3 or 4 problems.
Individual Practice: (10 minutes)
Simplify as many expressions from the slides below as
you can in 10 minutes. It's OK if to skip slides if they are moving too quickly for you: just write one down, work on it until you're done, then write and solve the next one you see.
Write the original and the simplified expressions on a piece of paper. Watch this video to see how to do this on paper.
Write the original and the simplified expressions on a piece of paper. Watch this video to see how to do this on paper.
Ticket Out: (10 minutes)
Put your name on a piece of paper, and then
write your answers to the following questions:
1. Without using a number
line or a calculator, how can you tell whether the sum of two integers will be
positive or negative?
2. Without using a number
line or a calculator, how can you tell whether the difference between two
integers will be positive or negative?
3. How can you tell whether
the product of two integers will be positive or negative?
4. How can you tell whether
the quotient of two integers will be positive or negative?
5. Why is the sum of two
negatives always negative?
6. Why is the product of
two negatives always positive?
When you are finished, check to see if anyone on
your team needs help. When your team is done or when the teacher asks for your
work, pass your papers to one person on your team and have that person put it
in the folder for your class period.
