June 21-27,2007

MSP Summer workshop

Tentative Schedule of Activities

 

Questions for the reading for workshop

 

Applets used in workshop

 

 

Day 1: June 21

Welcome

 

Technology Warm-Up

 

Applet and calculator activity: Skip Counting and Hundreds boards

                                                Practice:  Entering calculations

Activity *

Constant Dimensions

Technology-An Intro to Graphing Calculator Basics: Lists and plots 

          Technology- Basic stat functions

Activity:

Missing Values – NCTM blackline master (if time permits)

 

Activity:

Introduction to Algebra Tiles

 

Wrap-up

 

Learning Goals for Day 1: 

1)      Familiarity with basic functions of a graphing calculator such as arithmetic expressions and using lists.

2)    Ability to using algebra tiles to model arithmetic and balanced equations.

3)    Ability to see slope as a ratio

 

*see the last page of this document for further clarification on the use of the word activity


 

Day 2: June 22

 

Technology Warm-Up

Balanced Scales Virtual Manipulative

Slope applet

 

Activity:

Investigating Linear Relationships from Multiple Perspectives

Technology- An Introduction to Graphing Calculator Basics: Graphing Functions and Solving Equations.

 

Activity:

Algebra Tiles – Modeling polynomial multiplication, factoring, etc.

 

Activity:

Ups and Downs Patterns – NCTM blackline master (if time permits)

          Technology:  More with lists and sequences

 

Wrap-up

 

Learning Goals for Day 2:

 

1)      Ability to model linear relationships from multiple perspectives, including numerically, graphically, and algebraically.

2)    Comfort with graphing and solving capabilities of the graphing calculator, including defining functions, graphing functions, using window techniques such as zooming, tracing, and solving techniques.

3)    Basic understanding of how to use algebra tiles to model polynomial operations

 

 


 

Day 3: June 25

 

Technology Warm-Up

Voltage Applet

          Applet (TBA)

 

Activity:

Rates Across the Grades

          Technology-Lists and their plots on GC and spreadsheet/GC applet

 

Activity:

Technology-CBL (Calculator Based Laboratory) Voltage Experiment

          Technology-Graphing collected data

 

Activity:

Fund Raising – NCTM blackline master

          Technology- Lists and their graphs

 

Activity:

Algebra Tiles- Further explorations (if time permits)

 

Wrap-up

 

Learning Goals for Day 3:

 

1)      Basic familiarity with  use of the CBL, including collecting data and analyzing it on the graphing calculator

2)    Comfort with the list features on the GC

3)    Ability to recognize how rate problems connect to the concept of slope

4)    Ability to represent and solve ratio/rate problems in a variety of ways

 


 

Day 4: June 26

 

Technology Warm-Up

 Applets (TBA)

 

Activity:

What is Linear?

Linearity and licorice

           NCTM blackline master

          Technology- Lists, functions and plots

 

Activity:

Graphs to Stories – NCTM blackline master

Stories to Graphs – NCTM blackline master

 

Activity:

Technology-CBR (Calculator Based Ranger) Motion Experiment

 

Breakout Sessions:

Toothpick Patterns  & Bouncing Tennis balls– for teachers grades 3-5

Interest Problem – for teachers grades 6 – 8

                   Technology- the spreadsheet type features of the GC

 

Wrap-up

 

Learning Goals for Day 4:

 

1)      Understand how to distinguish between linear and nonlinear relationships

2)     Familiarity with lists and plotting

3)     Basic familiarity with  use of the CBR, including modeling position and velocity

4)     Comfort with interpreting graphs and translating various scenarios into graphs

 

 


 

Day 5: June 27

 

Technology Warm-Up

 Probability Applets

 

Activity:

Probability I: What is Fair: Dice and Distributions

 

Activity:

Probability II: Probability experiments and ratios

 (NCTM blackline master)

 

Activity:

Technology-CBL (Calculator Based Laboratory) Temperature Experiment

 

Wrap-up

 

Learning Goals for Day 5:

 

1)      Ability to relate two data sets using the CBL. Also to understand nonlinear data.

2)     Ability to understand the importance of the Law of Large numbers in probability

3)     Ability to recognize the importance of “fairness” criteria in probability experiments

 

 


What does the word activity mean?

 

As shared at the January meeting, we use the word “activity” to mean the instructional cycle of solving a problem as a student and then looking back at the problem as a teacher.  This cycle consists of the following:

 

         Presentation and carrying out of problem(s) and group work

 

         Reflection on activity

          Opportunities to bridge from the concrete to the abstract

        How to differentiate instruction

           MSVC/CLG’s: your course content- where does it fit in?

                  Relevent assessment items

                  How to develop reflection among students- teacher prompts

 

         Sharing of related problems/worksheets on web and in print

 

         Further work (to include…)

        Development of related hands on activities with alignment to MVSC/CLG’s

        Development of skill work to further student understanding

        Development of items that model assessment items

        Development of different approaches to modeling and designing problems that will help differentiate instruction