Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

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Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings

Transcript of Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Page 1: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Operations and Algebraic Thinking in Kindergarten and First Grade

Expectations and Understandings

Page 2: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Agree or Disagree

Math discussions should focus on students sharing

how they got the right answer.

Page 3: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

I have a jar of jelly beans on my desk. – All but 16 of the jelly beans are red– All but 16 of the jelly beans are blue– All but 16 of the jelly beans are green– All but 18 of the jelly beans are yellow

How many jelly beans are there altogether?How many of each color are there?

Page 4: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

I have a jar of jelly beans on my desk. • All but 16 of the jelly beans are red• All but 16 of the jelly beans are blue• All but 16 of the jelly beans are green• All but 18 of the jelly beans are yellow How many jelly beans are there

altogether?How many of each color are there?

Strategies?

Page 5: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

That was easy, right?

What made it difficult?

What did you do to make sense of this

task?

Page 6: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.
Page 7: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Tell A Story

Write an addition story problem using the 3 numbers on the cards below.

311 8

Page 8: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Exploring Addition and Subtraction Situations

Pick a card and read the problem situation out loud to the group.

Act out the situation with bears in a manner that naturally fits the story.

Write the number sentence that reflects and matches the situation.

Draw a visual representation that matches the situation.

Page 9: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

What’s the difference?

Three red bears and two green bears are on the table. How many bears are on the table? z

Five bears are on the table. Three are red and the rest are green. How many apples are green? y

Claire has 5 bears. How many bears can she put on the table and how many can she put on the floor? x

In the action of these 3 situations?

Page 10: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

What’s the difference?

Three red bears and two green bears are on the table. How many bears are on the table? z

Five bears are on the table. Three are red and the rest are green. How many apples are green? y

Claire has 5 bears. How many bears can she put on the table and how many can she put on the floor? x

In the number sentence for each situation?

Page 11: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Put-Together/ Take Apart

• How are the Put Together/Take Apart situations different from the Add To and Take From?

Two distinct parts that make a whole; no action.

Page 12: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Debrief

Which of these problems do you think might be hardest for young children? Why?

Page 13: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

Exploring Addition and Subtraction Situations

Pick a card and read the problem situation out loud to the group.

Act out the situation with bears in a manner that naturally fits the story.

Write the number sentence that reflects and matches the situation.

Draw a visual representation that matches the situation.

Page 14: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

What’s the difference?

In the action of these 3 situations?Claire has 2 bears. Lucy has 3 bears. How many more bears does Julie have than Lucy? b

Claire has 3 more bears than Lucy. Lucy has 2 bears. How many bears does Julie have? e

Claire has 3 more bears than Lucy. Claire has 5 bears. How many bears does Lucy have? a

Lucy has 2 bears. Claire has 5 bears. How many fewer bears does Lucy have than Claire? d

Lucy has 3 fewer bears than Claire. Lucy has 2 bears. How many bears does Claire have? g

Lucy has 3 fewer bears than Claire. Claire has 5 bears. How many bears does Lucy have? j

Page 15: Operations and Algebraic Thinking in Kindergarten and First Grade Expectations and Understandings.

What’s the difference?

In the number sentence for each situation?

Claire has 2 bears. Lucy has 3 bears. How many more bears does Julie have than Lucy? b

Claire has 3 more bears than Lucy. Lucy has 2 bears. How many bears does Julie have? e

Claire has 3 more bears than Lucy. Claire has 5 bears. How many bears does Lucy have? a

Lucy has 2 bears. Claire has 5 bears. How many fewer bears does Lucy have than Claire? d

Lucy has 3 fewer bears than Claire. Lucy has 2 bears. How many bears does Claire have? g

Lucy has 3 fewer bears than Claire. Claire has 5 bears. How many bears does Lucy have? j

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Compare Problems

How do Compare situations differ from Add To/Take From and Put Together/Take Apart?

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Review

• Take the story problem you wrote and post it in the appropriate place on the Addition and Subtraction Situations Table.

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Investigations

• Where are these problem types?

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I have ____ crayons.

Some are __ and some are ___

What standards are evident in this work?

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