# 2009-2010 6th Grade Math Syllabus

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```					                                    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
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
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
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.
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 &
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

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