Math Partnership Grant Summer 2007 In-service

Instructors – Dr. Randall Groth and Dr. Claudia Petty

Date: Thursday, June 21, 2007

9:00 – 9:30 Introduction and Discussion:  

            Introduce yourself to your group members and have each group member talk

            about a topic of personal interest from the discussion board. 

TOPIC: Rectangular Arrays and Emergent Mathematical Content

9:30 – 11:15 - Developing mathematical understandings through rectangular arrays.

11:15 – 11:45 – Which of the MVSC Standards are addressed in the lesson previously

                            completed?

11:45 – 12:10 – Assessments

·        Everything you know about the number 25

·       Venn Diagram for Assessment

 -

12:10 – 12:45 LUNCH

12:45 – 2:30 - Number Patterns activities

·        Predictable Patterns

·        Hundreds Charts and Divisibility Rules

2:30 – 3:00 - Which MVSC standards have been met through these activities?

3:00 – 3:30 - Discuss which topics could be taught following this activity.  What should be taught

 before the activity?

3:30 – 4:00 – List of ideas for developing today’s topics into a classroom lesson. 

(List on the back of this paper – You can use the Navigation Series and Marilyn Burns’

 book).

HOMEWORK ARTICLE: Teaching Through Problem Solving

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Date: Friday, June 22, 2007     

9:00 – 9:30 Introduction and Discussion:  

            Introduce yourself to your group members and have each group member talk

            about a topic of personal interest from your group’s section of last night’s reading. 

9:30 – 10:00 – Each group will present their section of the article to the entire group.

TOPIC: Algebra, Graphing, Function Tables & Patterns

10:00 – 11:30 – Graphing equations & using Children’s literature as a context for functions.

11:00 – 11:20 – Introduction to graphing calculators

11:20 – 11:40 – Green Globs game

11:40 – 12:10 – Introduction to United Streaming

12:10 – 12:45 LUNCH

12:45 – 3:00

• Grades 4-5 - Break out with Claudia Petty – Patterns
• Grades 6-8 - Break out with Randall Groth - Patterns

3:00 – 3:30 – Discussion between breakout groups.  What do 6^th - 8^th grade teachers see as important

             content at the 4^th – 5^th grade levels and what did the 4^th and 5^th grade teachers learn in

 this session that could satisfy those needs? 

3:30 – 4:00 – List of ideas for developing today’s topics into a classroom lesson. 

(List on the back of this paper – You can use the Navigation Series and Marilyn Burns’

 book).

HOMEWORK ARTICLE: Time Constraints

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Date: Monday, June 25, 2007

9:00 – 9:30 Introduction and Discussion:  

            Introduce yourself to your group members and have each group member talk

            about a topic of personal interest from your group’s assigned section of last night’s reading. 

9:30 – 10:00 – Each group will present their section of the article to the entire group.

TOPIC: Integers, Equations & Inequalities

10:00 – 11:15 – Adding, subtracting, and multiplying integers.

11:15 – 11:45 - Multiplying binomials.  

11:45 – 12:10 – Factoring using Algebra Tiles

12:10 – 12:45 LUNCH

12:45 – 2:30

• Solving Equations with manipulatives and a balance scale model.
• Solving Inequalities through problem solving: Examination of a case of classroom practice

2:30 – 3:30 – Computer Lab time for virtual manipulatives – equations and inequalities –

 National Library of Virtual Manipulatives website –

 http://nlvm.usu.edu/en/nav/vlibrary.html

3:30 – 4:00 – List of ideas for developing today’s topics into a classroom lesson. 

(List on the back of this paper – Can use the Navigation Series, Marilyn Burns, United Streaming, and National Library of Virtual Manipulatives).

 HOMEWORK ARTICLE: Summative Assessment and Writing

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Date: Tuesday, June 26, 2007

9:00 – 9:30 Introduction and Discussion:  

            Introduce yourself to your group members and have each group member talk

            about a topic of personal interest from your group’s assigned section of last nights reading. 

9:30 – 10:00 – Each group will present their section of the article to the entire group.

TOPIC: Probability and Statistics

10:00 – 12:10 – Activities

·        Blocks and Marbles

·        Spinners – Marilyn Burns – Design your own Spinner

·        Dice Game

12:10 – 12:45 LUNCH

12:45 – 3:30 – Activities

·        Design your own dice

·        Design a fair and unfair game using your created dice (focus on the grade level in which you teach and the desired difficulty)

·        Analyze fair and unfair games using tree diagrams – More Chips Handout

3:30 – 4:00 – List of ideas for developing today’s topics into a classroom lesson. 

(List on the back of this paper – Can use the Navigation Series and Marilyn Burns).

HOMEWORK ARTICLE: Teacher Empowerment

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Date: Wednesday, June 27, 2007

9:00 – 9:30 Introduction and Discussion:  

            Introduce yourself to your group members and have each group member talk

            about a topic of personal interest from your group’s assigned section of last night's reading. 

9:30 – 10:00 – Each group will present their section of the article to the entire group.

TOPIC: Fractions and Lesson Development

10:00 – 11:30 – Using no algorithms, take the problem situations provided and show your

            understanding of the situation using as many different manipulatives, drawing, diagrams, etc. as

you can. 

11:30 – 12:10 – Discuss ideas from fraction manipulatives activity.

12:10 – 12:45 LUNCH

12:45 – 2:15 – Develop a lesson using a topic from one of the last 5 days:

·        Rectangular Arrays and Emergent Mathematical Content

·        Algebra, Graphing, Function Tables & Patterns

·        Integers, Equations & Inequalities

·        Probability and Statistics

·        Fractions

¶ Work with others from your grade level to design a set of lessons for each content area. 

            GROUPS:

·        2 groups for 6-8

·        2 groups for 5

·        2 groups for 4

2:15 – 3:30 – Get into content area groups and discuss your lessons with teachers from other grade

 levels.  Get feedback and give feedback to others.

3:30 – 4:00 – Talk about the larger context of your lesson.  What should you teach before and after this lesson and how might the lesson be taught?.  

Participant-Constructed Lessons

This section of the page contains workshop-inspired lessons constructed by teacher participants. Lessons draw upon resources utilized during the workshop, such as NCTM Navigations, Marilyn Burns' About Teaching Mathematics, and the National Library of Virtual Manipulatives. Each lesson is written to address one or more of the items in the Maryland Voluntary State Curriculum. Lessons are sorted by the NCTM/MVSC mathematics content standards they address.