GrotonDunstable Middle School Mathematics Presentation Grades 68 January 8, 2007 7:00 8:30 p'm' - PowerPoint PPT Presentation

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GrotonDunstable Middle School Mathematics Presentation Grades 68 January 8, 2007 7:00 8:30 p'm'

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Grades 5-8 Math Scope and Sequence. Math Beyond the Classroom. Questions and Answers ... Each square tile covers four square feet. ... – PowerPoint PPT presentation

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Title: GrotonDunstable Middle School Mathematics Presentation Grades 68 January 8, 2007 7:00 8:30 p'm'


1
Groton-DunstableMiddle SchoolMathematics
PresentationGrades 6-8January 8, 2007700 -
830 p.m.
2
Agenda
  • Welcome and Introductions
  • Beth Raucci, Principal
  • Overview of the
  • Connected Mathematics Program
  • Grades 5-8 Math Scope and Sequence
  • Math Beyond the Classroom
  • Questions and Answers

3
Program SelectionHistoryProcess
  • Dr Susan Rubel, Director of Curriculum and Staff
    Development

4
Overview of Program Goals
  • Problem Centered
  • Practice with Concepts and Related Skills
  • Complete Curriculum
  • 8 units for each grade level
  • Research Based
  • Diane Repaal, 6th grade Classroom Teacher

5
Connected Mathematics ProgramCognitive Science
ConnectionHow do kids learn best?
  • Constructivism
  • Conceptual and Procedural Knowledge
  • Multiple Representations
  • Cooperative Learning
  • Karen G. Gartland, Middle School Mathematics
    Coordinator

6
The Instructional Model
  • What does a typical class look like?
  • Launch
  • Explore
  • Summarize
  • Whole Group Work
  • Pairs and Small Group Work
  • Carol Bradford, 7th grade Classroom Teacher

7
Mathematics Content
  • Rational Numbers/Proportional Reasoning
  • Probability and Statistical Reasoning
  • Geometric/Measurement Reasoning
  • Algebraic Reasoning

8
Problem-Centered Curriculum
  • Rationale
  • Characteristics of Good Problems
  • Practice with Concepts, Related Skills and
    Algorithms
  • Example

9

10
Bits and Pieces II (Gr6)
  • Students at Lakeside Middle School raise funds to
    take a field trip each spring. In each of the
    following fundraising examples, explain how you
    recognize what operation(s) to use.Then write a
    number sentence to show the required
    calculations.1. The 24 members of the school
    swim team get dollar-per-mile pledges for a swim
    marathon they enter.The team goal is to swim 120
    miles. How many miles should each swimmer swim?
  • 2. There are 360 students going on the field
    trip. Each school bus carries 30 students. How
    many buses are needed?
  • 3. The school band plans to sell 600 boxes of
    cookies. There are 20 members in the band. How
    many boxes should each member sell to reach the
    goal if each sells the same number of
    boxes?Compare your number sentences and
    reasoning about these problems with classmates.
    Decide which are correct and why.

11
Program Components
  • Student Units
  • Investigations
  • Homework
  • Applications, Connections and Extensions
  • Unit Projects
  • Assessment Tools
  • Technology
  • Manipulatives

12
Organization of Materials
  • Notebooks
  • Student texts
  • Journals - if assigned
  • Vocabulary
  • Classroom notes
  • Homework assignments
  • Lab sheets
  • Assessment
  • Check-ups, quizzes, projects, self-assessments,
    unit tests

13
HomeworkApply, Connect and Extend
  • Role of the Student
  • Role of the Teacher
  • Role of the Parent

14
Assessment
  • Content Knowledge
  • Mathematical Disposition
  • Work habits
  • Checkpoints
  • Surveys of Knowledge
  • Relationship between CMP and MCAS

15
CMP Question MCAS Question
  • Ariel is covering the floor of her kitchen with
    square tiles. Each square tile covers four
    square feet. If her kitchen floor is a rectangle
    measuring 16 feet by 10 feet, how many tiles will
    she need?
  • 13
  • 26
  • 30
  • 40
  • Karl and Rita are building a playhouse for their
    daughter. The floor of the playhouse will be a
    rectangle that is 6 feet by 8 feet.
  • a How much carpeting do Karl and Rita need to
    cover the floor?
  • b How much molding do they need around the edges
    of the floor?
  • c The walls will be 6 feet high. A pint of paint
    covers about 50 square feet. How much paint do
    they need to paint the inside walls? Explain.

16
Transition to High School
  • Development of Algebraic Ideas
  • Patterns of Change-Functions
  • Representation
  • Symbolic Reasoning
  • High School Coursework
  • Lisa LaPierre, 8th Grade Classroom Teacher

17
Differentiating Instruction
  • Making accommodations
  • Practices that help facilitate teaching
    mathematics to special groups
  • Cooperative Learning Groups
  • Modifications

18
Lets Try It Out!
  • This box of
  • candies has
  • some removed.
  • How many candies
  • are left?
  • Can you find more
  • than one way to get
  • the answer?

Sample question from Connected Math - Grade 6
19
Grade 6 Mathematics
  • Smooth transition from Investigations curriculum
    to Connected Mathematics
  • Course Connected Mathematics 6
  • Full implementation of all 8 student units
  • All students transition to Connected Mathematics
    7 course in grade 7

20
Grade 7 Mathematics
  • Course Connected Mathematics 7
  • Spring planning for Grade 8 Mathematics course
  • Common assessments
  • Standardized test
  • Teacher recommendation
  • Assessment of course choices
  • Computational fluency
  • Productive Habits of Thinking
  • Based on research from Driscoll, Education
    Development Center
  • Fostering Algebraic Thinking

21
Grade 8 Mathematics
  • Connected Mathematics 8
  • Algebra I
  • Complete Algebra I course
  • Intend for students to move to Geometry in 9th
    grade

22
Mathematics Beyond the Classroom
  • After School Program Math and Logic League
  • MCAS Preparation Classes
  • Monthly Puzzle Contests
  • Middle School Math Website
  • Link to Connected Mathematics Program website
  • Skills practice website links
  • Upcoming Events
  • March Family Math Night
  • April MCAS Parent Information Evening

23
  • Good mathematics is NOT how many answers you
    know..
  • But how you behave when you dont know.
  • Author unknown

24
  • Children who are successful at making sense of
    mathematics are those who believe that
    mathematics makes sense.
  • Lauren Resnick

25
Questions
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