Understanding Student Thinking in Algebra

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Understanding Student Thinking in Algebra. December 6-7. Patterning. The Grapes of Math by Gregg Tang Article discussion…“Developing Algebraic Thinking Through Pattern Exploration” Carnival Bears Activity http://funstufftosee.com/frogleaptest.html. Understanding Properties. - PowerPoint PPT Presentation

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Understanding Student Thinking in Algebra

December 6-7

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Patterning

The Grapes of Math by Gregg TangArticle discussion…“Developing Algebraic

Thinking Through Pattern Exploration”Carnival Bears Activityhttp://funstufftosee.com/frogleaptest.html

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Understanding Properties

“Understanding Properties” articleIn groups of 4, complete a Frayer Model for a

property. Poster needs to include:Kid friendly definitionVisual modelA number statementA variable statement

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Properties/Order of Operation

Thinkfinity Pan Balance Activity http://illuminations.nctm.org/ActivityDetail.aspx?id=26

Properties Match Game Video

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Homework

• Read article “Doing Algebra in Grade K-4”• On a note card, write one idea you got

out of the article and one thing you learned from today.

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Order of Operations

oOrder of Operations PuzzleoCalculators

o 16 + 4 x 10o 24/6 x 2

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Caged Mice Problem

Ricky has 7 pet mice. He keeps them in two cages. One cage is red and the other is blue. Show all the ways that 7 mice can be placed in these two cages.

• In groups of two, you are to find all the combinations of the number given to you.– How do you know you have all the combinations?

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WASL

http://www.pasd.wednet.edu/school/mathWASL/

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Relational Thinking with Properties

Do numbers 1-12 and think about the properties being used to solve these problems.

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Algebra Number Sentences

• Work with a partner to solve for the variable using ONLY your understanding of equality, relational thinking, and basic number properties….NO formal algebra.

• Do the first 5 problems. You will need pages 70-75 from your book. Do a problem then read about it….continue this through the 5th problem.

• Do the remaining problems on the page and then we will watch the video on the last 5 problems.

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More Practice

Page 77, challenge 5 problems a-f

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Summarize Relational Thinking and Early Algebra

• In groups, write 3 big ideas about relational thinking .• What do students need to know and

understand about relational thinking and early algebra? • Why is it important to understand relational

thinking and early algebra?

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Homework for March 7-8

Read chapter 4 from your Thinking Mathematically book

Do Mice in a Cage activity with your students.

Read the article provided and apply it to your students. Be prepared to come back and discuss the outcomes and the article with the group.

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