Connected Math Program CMP

1
Connected Math Program(CMP)

• Covering and Surrounding
• (2 Dimensional Geometry)
• A 6th Grade Module
• Presentation by Lisa C. Freeman
• Thompson Middle School
• Newport, RI
• Math goals as stated in CMP Lesson Planner

2
Connected Math

• CMP emphasizing hands-on learning, concept
  building, and real-world connections
• Each Module (unit of study) involves four or more
  Investigations (chapters)
• Each Investigation contains
• Math Problems (hands-on explorations and
  activities)
• Homework (ACE Applications, Connections, and
  Extensions)
• Math Reflection (writing about what was learned)
• Connected Math (CMP) a research-based
  middle school math program developed at Michigan
  State University and supported by the National
  Science Foundation (NSF) under Grant No.
  MDR9150217

3
Topics of DiscussionIndex

• Covering Surrounding the Big Ideas (Math
  Goals)
• Structure of the lessons Launch, Explore,
  Summarize
• Student Responsibility
• Family Involvement
• Summary
• Websites

4
Covering Surrounding The Big Ideas

• The study of Area and Perimeter
• Develop strategies for finding areas and
  perimeters of various geometric shapes
• Discover the relationship between area and
  perimeter
• Discover how the area of a rectangle is related
  to the area of a triangle and a parallelogram
• Develop formulas, using words and symbols, for
  finding area and perimeter of rectangles,
  parallelograms, triangles, and circles
• Observe and reason from patterns in data by
  organizing tables to represent the data
• Use multiple representations to describe data
  (pictoral, tabular, and symbolic models)

NEXT
5
Covering Surrounding The Investigations

• Investigation 1 Measuring Perimeter and Area
• Students learn that area is represented by the
  number of unit squares needed to cover it and
  that perimeter is the number of units of length
  needed to surround it
• Investigation 2 Measuring Odd Shapes
• Students develop techniques for estimating areas
  and perimeters of non-geometric figures
• Investigation 3 Constant Area, Changing
  Perimeter
• Students learn that perimeters of rectangles can
  vary even when the area is held constant and
  connect this idea to the area model for
  multiplication
• Investigation 4 Constant Perimeter, Changing
  Area
• Students learn that the areas of rectangles with
  a fixed perimeter can vary considerably
• Investigation 5 Measuring Parallelograms
• Students discover relationships between
  parallelograms and rectangles and develop
  techniques or formulas for finding areas and
  perimeters of parallelograms
• Investigation 6 Measuring Triangles
• Students find and use the relationship between
  rectangles and parallelograms, and parallelograms
  and triangles to develop techniques for finding
  area and perimeter of triangles
• Investigation 7 Going Around in Circles

INDEX
6
Structure of the Lesson Launch, Explore,
Summarize

• Launch a time for the teacher to introduce the
  problem
• Read Aloud
• Understand the question
• Think about possible strategies of approach
• Teach a mini-lesson, if needed to begin the work

INDEX
7
Structure of the Lesson Launch, Explore,
Summarize

• Explore a time for the students to investigate
  the math concept
• Work independently or in pairs or groups
• Use manipulatives or other resources as needed
• Construct meaning
• Explore, discuss, prove, justify
• Make conclusions
• Complete the recording sheet for the binder

INDEX
8
Structure of the Lesson Launch, Explore,
Summarize

• Summarize a time for the whole class to come
  together and share strategies, ideas, and answers
• Individuals or groups discuss answers and
  strategies
• Explain, discuss, prove, justify
• Make conclusions
• Make connections to previous problems or
  real-world situations

INDEX
9
Student Responsibility

• Come ready to learn
• Good attitude
• Pencil, binder, book, completed homework
• Actively participate
• Share or Question ideas
• Ask for justification
• Explain thinking
• Share strategies
• Stay focused on math conversations

INDEX
10
Family Involvement

• Ask, What was the math problem about today?
• Ask, What was the big idea of the lesson?
• Ask, How did you explore the concepts?
• To help with homework
• Ask to see the binder page that was worked on in
  class
• Try to connect the ideas of the days lesson to
  the ideas of the homework.

INDEX
11
In Summary
INDEX

• Connected Math allows for hands-on learning,
  concept building, and real-world connections
• Each Module involves four or more Investigations
  (chapters)
• Each Investigation is made up of problems (or
  activities), homework (ACE Applications,
  Connections, and Extensions), and a Math
  Reflection
• Each student is responsible for keeping up with
  class assignments, homework, math reflections,
  quizzes and check-ups, a unit test, a performance
  task, and a final Math Reflection

12
Websites

• http//www.phschool.com/math/cmp - general
  information about CMP from the publisher
  (Prentice Hall)
• http//www.phschool.com/math/cmp/spanish_glossarie
  s.html - Spanish math glossary
• http//www.math.msu.edu/cmp - Developer of CMP
• www.schoolnotes.com Use Newport Zip Code 02840
  for homework assignments

INDEX