PISCATAWAY TOWNSHIP SCHOOLS

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					                           PISCATAWAY TOWNSHIP SCHOOLS
                    Quibbletown Middle School
               Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                       6th Grade Mathematics
Course Title: Math 6

Textbook:      McDougal Littell: Middle School Math, Course 1
               Pearson: Connected Mathematics 2 – Grade 6
                                 Prime Time                         Filling and Wrapping
                                 Bits & Pieces II                   How Likely Is It?
                                 Bits & Pieces III

Course Description: Sixth grade Math is a discovery and application of number sense, numerical
operations, algebraic thinking, geometry, measurement, probability/statistics, and data analysis. The goal
for students in this course, through the New Jersey Core Curriculum Standards, is to use appropriate
operations involving whole numbers, fractions, decimals, and percents in problem solving situations.
Students will regularly represent ideas graphically and in written form. The use of technology (calculators,
computer software, etc.) will be used to enable students to focus on the problem solving process. As
students are immersed in hands-on activities and real-life applications, lessons will contain a variety of
experiences in order to address the range of learning styles. Students’ progress will be monitored through
benchmarks, standardized tests, and assessments in order to promote understanding and proficiency.

   Approximate             Topic
   Time Frame
                          Fraction, Decimal, Percent Review
   Marking                Measuring Geometric Objects
                           Develop and apply strategies and formulas for finding perimeter and area.
    Period                  Triangle, square, rectangle, parallelogram, and trapezoid.
                           Recognize that shapes with the same perimeter do not necessarily have the
      1                     same area and vice versa.
                           Recognize the decimal nature of United States currency and compute with
                            money.
                           Develop informal ways of approximating the measures of familiar objects
                            (e.g., use a grid to approximate the area of the bottom of one’s foot).

                          Number Sense
                           Develop and apply number theory concepts in problem solving situations.
                            Primes, factors, multiples, common multiples, common factors.
                           Find squares and cubes of whole numbers.
                           Understand and use the various relationships among operations and
                            properties of operations.
                           Understand and apply the standard algebraic order of operations for the four
                            basic operations, including appropriate use of parentheses.

                         Units of Measurement
                          Convert measurement units within a system (e.g. 3 feet = ____ inches).
                          Use measurement and estimates to describe and compare phenomena.

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                   PISCATAWAY TOWNSHIP SCHOOLS
            Quibbletown Middle School
       Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                               6th Grade Mathematics




Approximate        Topic
Time Frame
                 Fractions
                  Use real-life experiences, physical materials, and technology to construct
Marking             meanings for numbers: All integers; All fractions as part of a whole, as
 Period             subset of a set, as a location on a number line, and as divisions of whole
                    numbers; All decimals.
   2              Compare and order numbers.
                  Recognize the appropriate use of each arithmetic operation in problem
                    situations.
                  Determine the reasonableness of an answer by estimating the result of
                    operations.
                  Construct, use, and explain procedures for performing calculations with
                    fractions and decimals with: Pencil-and paper; Mental math; Calculator.

                 Decimals & Percents
                  Understand and use whole-number percents between 1 and 100 in a variety
                   of situations.
                  Use whole numbers, fractions, and decimals to represent equivalent forms of
                   the same number.
                  Use a variety of estimation strategies for both number and computation.
                  Recognize when an estimate is appropriate, and understand the usefulness of
                   an estimate as distinct from an exact answer.
                  Determine whether a given estimate is an overestimate or an underestimate.




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                     PISCATAWAY TOWNSHIP SCHOOLS
            Quibbletown Middle School
       Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                               6th Grade Mathematics


Approximate          Topic
Time Frame
                 Ratios & Proportions
                  Explore the use of ratios and proportions in a variety of situations.
Marking           Use a scale to find a distance on a map or a length on a scale drawing.
 Period          Probability
   3              Determine probabilities of events: Event, complementary event, probability
                    of an event; Multiplication rule for probabilities; Probability of certain event
                    is 1 and of impossible event is 0; Probabilities of event and complementary
                    event add up to 1.
                  Determine probability using intuitive, experimental, and theoretical methods
                    (e.g., using model of picking items of different colors from a bag): Given
                    numbers of various types in a bag, what is the probability that an item of one
                    type will be picked; Given data obtained experimentally, what is the likely
                    distribution of items in the bag?

                 Geometric Properties & Measuring Geometric Objects
                  Understand and apply concepts involving lines and angles: Notation for line,
                   ray, angle, line, segment; Properties of parallel, perpendicular, and
                   intersecting lines; Sum of the measures of the interior angles of a triangle is
                   180˚.
                  Identify, describe, compare, and classify polygons and circles: Triangles by
                   angles and sides; Quadrilaterals, including squares, rectangles,
                   parallelograms, trapezoids, rhombi; Polygons by number of sides;
                   Equilateral, equiangular, regular; All points equidistant from a given point
                   form a circle.
                  Compare properties of cylinders, prisms, cones, pyramids, and spheres.
                  Select and use appropriate units to measure angles, area, surface area, and
                   volume.
                  Develop and apply strategies and formulas for finding…Circumference and
                   area of a circle.

                 




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                    PISCATAWAY TOWNSHIP SCHOOLS
              Quibbletown Middle School
        Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                6th Grade Mathematics


Approximate     Topic
Time Frame
               Geometric Properties & Measuring Geometric Objects
                Identify, describe, and draw the faces or shadows (projections) of three-
Marking          dimensional geometric objects from different perspectives.
                Identify a three-dimensional shape with given projections (top, front, and side
 Period          views).
                Identify a three-dimensional shape with a given net (i.e., a flat pattern that folds
   4             into a 3D shape).
                Select and use appropriate units to measure angles, area, surface area, and
                 volume.
                Develop and apply strategies and formulas for finding the surface area and
                 volume of rectangular prisms and cylinders.

              Transforming Shapes & Coordinate Geometry
               Use a translation, a reflection, or a rotation to map one figure onto another
                 congruent figure.
               Create geometric shapes with specified properties in the first quadrant on a
                 coordinate grid.

               Patterns, Functions, and Relationships
                Use patterns, relations, and linear functions to model situations: Using variables
                  to represent unknown quantities; Using concrete materials, tables, graphs, verbal
                  rules, algebraic expressions/equations/inequalities.
                Recognize, describe, extend, and create patterns involving whole numbers and
                  rational numbers: Descriptions using tables, verbal rules, simple equations, and
                  graphs; Formal iterative formulas (e.g., NEXT = NOW * 3); Recursive patterns,
                  including Pascal’s Triangle and the Fibonacci Sequence.
                Describe the general behavior of functions given by formulas or verbal rules
                  (e.g., graph to determine whether increasing or decreasing, linear or not).
                Solve simple linear equations with manipulatives and informally: Whole-
                  number coefficients only, answers also whole numbers; Variables on one or
                  both sides of the equation.
                Understand and apply the properties of operations and numbers: Distributive
                  property; The product of a number and its reciprocal is 1.
                Evaluate numerical expressions.

               Data Analysis
                Draw freehand sketches of graphs that model real phenomena and use such
                  graphs to predict and interpret events: Changes over time; Relations between
                  quantities; Rates of change (e.g., when is plant growing slowly/rapidly, when is
                  temperature dropping most rapidly/slowly).
                Read, interpret, select, construct, analyze, generate questions about, and draw
                  inferences from displays of data: Bar graph, line graph, circle graph, table,
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                     PISCATAWAY TOWNSHIP SCHOOLS
             Quibbletown Middle School
        Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                 6th Grade Mathematics

                  histogram: Range, median, and mean; Calculators and computers used to record
                  and process information.
                 Analyze vertex-edge graphs and tree diagrams: Can a picture or a vertex-edge
                  graph be drawn with a single line? (degree of vertex); Can you get from any
                  vertex to any other vertex? (connectedness)
                 Use vertex-edge graphs to find solutions to practical problems: Delivery route
                  that stops at specified sites but involves least travel; Shortest route from one site
                  on a map to another.

                Discrete Mathematics
                 Apply the multiplication principle of counting: Simple situations (e.g., you can
                   make 3 × 4 = 12 outfits using 3 shirts and 4 skirts); Number of ways a specified
                   number of items can be arranged in order (concept of permutation); Number of
                   ways of selecting a slate of officers from a class (e.g., if there are 23 students
                   and 3 officers, the number is 23 × 22 × 21).
                 List the possible combination of two elements chosen from a given set (e.g.,
                   forming a committee of two from a group of 12 students; finding how may
                   handshakes there will be among ten people if everyone shakes each other
                   person’s hand once).
                 Solve counting problems and justify that all possibilities have been enumerated
                   without duplication: Organized lists, charts, tree diagrams, tables; Venn
                   diagrams.



                                    Grading Criteria:
                           Quarterly Cumulative Assessments 10%
                                       Projects 25%
                                     Tests/Quizzes 30%
                                      Class work 25%
                                      Homework 10%


*Above percentages are subject to a five percent adjustment based on the teacher’s discretion.




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                              PISCATAWAY TOWNSHIP SCHOOLS
                      Quibbletown Middle School
                Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                           6th Grade Mathematics

                                      Supplies Needed:
 Pencils, Pencils and more Pencils (Students will need to maintain a daily supply of pencils in class)
                              Pencil Sharpner (No battery operated)
            Agenda book (for recording homework) – [1st copy to be provided by school]
                         Loose Leaf Notebook (to be divided into sections)
                                  OR Pocket Folders for handouts
                         White-lined paper (hole-punched and college ruled)

Classroom Rules & Expectations:
    ►   On Time - Students are expected to be on time for class with needed supplies. : If a student is late to
        class without a pass, the lateness is considered unexcused.

    ►   Class Participation – Students are expected to participate in class activities (group work, answering
        questions, asking questions, board work, individual assignments, etc.)

    ►   Homework/Projects - All assignments are due at the beginning of class on their due date. Late
        assignments will not be accepted.

    ►   Locker Use - Students may go to their lockers before homeroom, before lunch, after lunch, and
        during dismissal. Students may not go to lockers during class. It is the student’s responsibility to
        remember to bring all needed items to class (before class begins).

    ►   Absences – if a student misses class, it is his or her responsibility to get all class notes and find out
        what work needs to be made up. He or she may contact a classmate to find out what was missed.


Classmate 1 __________________________________Phone ___________________________________

Classmate 2 __________________________________Phone ___________________________________

Classmate 2 __________________________________Phone ___________________________________


If a student was absent when an assignment was given, the assignment should be handed in at the beginning
of class on the first day the student returns to school. All make-up assignments should be completed within
the amount of days that the student was absent (i.e. if a student was absent 3 days, they have 3 days to make up the
assignments.).
                          School rules will be enforced in all classroom settings
                                     (See Student Code of Conduct)




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                              PISCATAWAY TOWNSHIP SCHOOLS
                     Quibbletown Middle School
              Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                             6th Grade Mathematics



             6th Grade Mathematics – Notebook Organization

Section            Category                                              What to Include
                                             In this section, keep classroom rules and procedures and notebook
  1                   Forms                  organization sheet. You can print the course syllabus from my website if
                                             needed.
           Class Notes/Reflections           This section should include:
  2                                                Any and all work you do for in-class problems; this includes your
          Hints:                                      work on Connected Math investigations and/or textbook problems
           Date each entry.                          and any handouts. Include words, charts, pictures, or anything else
           Identify problems with the                to show your thinking.
              problem number and unit
              name.                                   Any notes you take; write anything that will help you remember
           Always revise what you                     what you were thinking. These notes are for your reference as you
              have written by crossing it
                                                       solve in-class problems, answer homework questions, work on
              out, rather than by erasing.
              This helps you and your                  quizzes, and prepare for tests.
              teacher to follow your
              thinking. It does not count             Your Mathematical Reflections from each Investigation.
              against you to cross out
              your old work.

                                             This section will include:
  3                                               All homework assignments. Your homework should be written on
                                                     lined loose-leaf notebook paper or graph paper and be clearly
                                                     identified with the following information:
                                                          Name
                                                          Date
          Homework Assignments                            Homework Assignment Description
            and Assessments                               Show all work

                                                      DO NOT write your homework on the same page as class
                                                       notes!

                                                      All check-ups, quizzes, tests, projects, and self assessments.

                                                     DO NOT WRITE IN YOUR CONNECTED MATH BOOK
  4           Your Connected
                Mathematics
                                                                         (only worksheets)
                                                       All work should be written in your Class Notes section.
            Binder/Investigations




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                              PISCATAWAY TOWNSHIP SCHOOLS
                      Quibbletown Middle School
                Gail Cunningham ~ Email:gcunningham@pway.org ~ Phone: 732-752-0444 Ext. 5342
                                           6th Grade Mathematics


   Please read and sign the section below. This page should be DETACHED and
                       RETURNED to Ms. Cunningham by:
                          ___________________________________________________


I have read the syllabus (on my teacher’s website) and class policy/procedures for Ms. Cunningham’s math class.
I understand the contents of this document and will contact the teacher by phone, email or in person to clarify
any questions or concerns. I agree to abide by the above expectations and procedures.


Student Name (print):__________________________________________________________________

Student Signature:_____________________________________________Date:__________________

Parent’s Name (print): _________________________________________________________________

Parent/Guardian Signature:____________________________________Date:___________________

_____________________________________________________________________________________
Parent email: (print) – also indicate who this email belongs to (i.e. Mary Smith – M.Smith991@yahoo.com)

_____________________________________________________________________________________
                Additional email: (print) – also indicate who this email belongs to.

      Parent Phone Number’s (Please provide all contact numbers where you can be reached.)

Name:_________________________________________ Phone:_______________________________

Name:_________________________________________ Phone:_______________________________

If additional space is needed, please continue on the back of this page.



                                                                           Menger
                                                                           Sponge




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