2009-2010 6th Grade Math Syllabus

Document Sample
2009-2010 6th Grade Math Syllabus Powered By Docstoc
					                                    Jemtegaard Middle School
                        6th Grade Connected Math Program Syllabus
                                              for 2009 – 2010


The Connected Math Project (CMP), the current 6th grade math curriculum at
Jemtegaard Middle School, is built around mathematical problems that help students
develop an understanding of important concepts and skills in number sense, geometry,
measurement, algebra, probability, and statistics. These skills will be critical for students
to be successful when taking the Measure of Student Progress (the new name for state
mandated test). Listed are the books and performance expectations for this year:


              Performance
                        #
     CMP
Publication
1
or
2

              Expectations
                                 Module/Book

                                    

          Multiplication and Division of Fractions & Decimals 

Compare and order non-negative                  6.1.A
   •   Bits
and
Pieces
I

fractions, decimals, and integers using the
number line, lists, and the symbols <, >,
or =.
Represent multiplication and division of        6.1.B
   •   Bits
and
Pieces
II

non-negative fractions and decimals using
area models and the number line, and
connect each representation to the
related equation.
Estimate products and quotients of              6.1.C
   •   

fractions and decimals.
Fluently and accurately multiply and            6.1.D
   •   Bits
and
Pieces
II

divide non-negative fractions and explain
the inverse relationship between
multiplication and division with fractions.
Multiply and divide whole numbers and           6.1.E
   •   Bits
and
Pieces
II

decimals by 1000, 100, 10, 1, 0.1, 0.01,
and 0.001.
Fluently and accurately multiply and            6.1.F
   •   Bits
and
Pieces
II

divide non-negative decimals.
Describe the effect of multiplying or           6.1.G
   •   Moving
Straight
Ahead

dividing a number by one, by zero, by a                      (7th
grade)

number between zero and one, and by a
number greater than one.
Solve single- and multi-step word               6.1.H
   •   Moving
Straight

problems involving operations with                           Ahead?

fractions and decimals and verify the
solutions.
    Mathematical Expressions and Equations

Write a mathematical expression or              6.2.A
   •   Variables
and
Patterns

equation with variables to represent
information in a table or given situation.
Draw a first-quadrant graph in the              6.2.B
   •   
Variables
and
Pattern

coordinate plane to represent information
in a table or given situation.
Evaluate mathematical expressions when          6.2.C
   •   Variables
and
Patterns

the value for each variable is given.
Apply the commutative, associative, and         6.2.D
   •   Accentuate
the

distributive properties, and use the order                   Negative

of operations to evaluate mathematical
expressions.
Solve one-step equations and verify             6.2.E
   •   Variables
and
Patterns

solutions.                                               •   Moving
Straight
Ahead

Solve word problems using mathematical          6.2.F
   •   Variables
and
patterns

expressions and equations and verify
solutions.
Ratios, Rates & Percents

Identify and write ratios as comparisons of     6.3.A
   •   Comparing
and
Scaling

part-to-part and part-to-whole                           •   Stretching
and

relationships.
                                                             Shrinking

Write ratios to represent a variety of rates.   6.3.B
   •   Comparing
and

                                                             Surrounding

                                                         •   Stretching
and

                                                             Shrinking

Represent percents visually and                 6.3.C
   •   Bits
and
Pieces
I

numerically, and convert between the
fractional, decimal, and percent
representations of a number.
Solve single- and multi-step word               6.3.D
   •   Bits
and
Pieces
II

problems involving ratios, rates, and                    •   Comparing
and
Scaling

percents, and verify the solutions.
Identify the ratio of the circumference to      6.3.E
   •   Covering
and

the diameter of a circle as the constant ,                   Surrounding

and recognize     and 3.14 as common
approximations of .
Determine the experimental probability of       6.3.F
   •   How
likely
is
it?

a simple event using data collected in an
experiment.
Determine the theoretical probability of an     6.3.G
   •   How
likely
is
it?

event and its complement and represent
the probability as a fraction or decimal
from 0 to 1 or as a percent from 0 to 100.
Two & Three Dimensional Figures

Determine the circumference and area of         6.4.A
   •   Covering
and

circles.                                                     Surrounding

Determine the perimeter and area of a           6.4.B
   •   Covering
and

composite figure that can be divided into                    Surrounding

triangles, rectangles, and parts of circles.
Solve single- and multi-step word               6.4.C
   •   Covering
and

problems involving the relationships                         Surrounding

among radius, diameter, circumference,
and area of circles, and verify the
solutions.
Recognize and draw two-dimensional              6.4.D
   •   Filling
and
Wrapping

representations of three-dimensional
figures.
 Determine the surface area and volume of      6.4.E
       •   Filling
and
Wrapping

 rectangular prisms using appropriate
 formulas and explain why the formulas
 work.
 Determine the surface area of a pyramid.      6.4.F
       •   

 Describe and sort polyhedra by their          6.4.G
       •   

 attributes: parallel faces, types of faces,
 number of faces, edges, and vertices.
 Additional Key Content

 Use strategies for mental computations        6.5.A
       •   Bits
and
Pieces
II

 with non-negative whole numbers,
 fractions, and decimals.
 Locate positive and negative integers on      6.5.B
       •   Accentuate
the

 the number line and use integers to                            Negative

 represent quantities in various contexts.
 Compare and order positive and negative       6.5.C
       •   Accentuate
the

 integers using the number line, lists, and                     Negative

 the symbols <, >, or =.

Reasoning,
Problem
Solving
&
 Communication
                                                        Grading Scale:
 Analyze a problem situation to determine      6.6.A

 the question(s) to be answered.                                    90-100%                 A
 Identify relevant, missing, and extraneous    6.6.B

 information related to the solution to a
 problem.                                                           80-89%                  B
 Analyze and compare mathematical              6.6.C

 strategies for solving problems, and select                        70-79%                  C
 and use one or more strategies to solve a
 problem.
                                                                    65-69%                  D
 Represent a problem situation, describe       6.6.D

 the process used to solve the problem,
 and verify the reasonableness of the                                  0-64%            F
 solution.
 Communicate the answer(s) to the              6.6.E

 question(s) in a problem using                                     Final Grades Based On:
 appropriate representations, including
 symbols and informal and formal                                     30%     Quizzes
 mathematical language.
 Apply a previously used problem-solving       6.6.F

 strategy in a new context.                                          20%     Journals
 Extract and organize mathematical             6.6.G

 information from symbols, diagrams, and                             10%     Projects
 graphs to make inferences, draw
 conclusions, and justify reasoning.
                                                                     25%     Homework
 Make and test conjectures based on data       6.6.H

 (or information) collected from
 explorations and experiments.                                       15%     Exit Exam