Parents’ Middle School 6th Grade Math Information Night

1.

Parents’ Middle
th
School 6 Grade
Math Information
Night
Presenter:
Becky Rea
([email protected])
Math Instructional Supervisor
Terman Middle School

2.

AGENDA:
ü   6th Grade Math
ü   6th to 7th Grade Placement
Process:
ü   Lane vs Track
ü   Rubric for next course
ü   Math Pathways
ü   After 6th grade

3.

Common Core State Standards
in Math
(CCSS-Math)
•  Adopted by 45 states including California
•  Smarter Balanced Tests, aligned to these
standards, are in the Spring
•  2 Types of Standards: Mathematical
Practices and Content by Grade Level
•  8 Mathematical Practices for all K-12
students

4.

Eight Common Core Mathematical Practices
Grades K-12
1.  Make sense of problems and persevere in
solving them.
2.  Reason abstractly and quantitatively.
3.  Construct viable arguments and critique
the reasoning of others.
4.  Model with mathematics.
5.  Use appropriate tools strategically.
6.  Attend to precision.
7.  Look for and make use of structure.
8.  Look for and express regularity in
repeated reasoning.

5.

Math 6
´  Students follow the 6th grade Common Core
State Standards. (CCSS Math 6)
´  The content includes Ratios & Proportional
Relationships, the Number System (Rational
numbers), Expressions & Equations,
Geometry, and Statistics and Probability.
http://www.cde.ca.gov/ci/ma/cf/documents/mathfwgrade6lmg2.pdf
´  Students are heterogeneously grouped in
6th grade and work both independently and
in cooperative group situations with
instruction that is differentiated to
appropriately challenge all students.
´  Extension and enrichment opportunities are
available to all students.

6.

6th Grade Differentiation
§   For those that need extra challenge
§   Extensions of classroom problems and
investigations
§   Join Math Club: 9/15, Thursdays, 3:05 – 4:00
§   Math Competitions
§   For those that need additional help
§   Math workshop/ Homework Habitat
§   Any student
§   May work with their teacher or another
math teacher outside of class.

7.

As students leave the 6th grade
program, teachers suggest placement
in one of two courses, Math 7 and
Math 7A, according to:
ü  Student interest in math,
ü  Student response to challenge
(readiness for acceleration), and
ü  Student demonstrated
performance with the CCSS-Math 6
curriculum.
The two courses are the beginning of PAUSD’s laning
system for the secondary math course offerings.

8.

LANING VS. TRACKING
LANING = flexible
PAUSD has a laning system.
TRACKING = rigid
The laning system allows students to move among
levels of a course,
at the end of a year (or sometimes the semester)
as their interest and success in a course shifts.

9.

So, what are the
differences
between
Math7 & Math7A*?
*A = Accelerated

10.

Math 7
´   CCSS: Math 7, only
´   Ratios & Proportional
Relationships
´   Proportions
´   The Number System
´   Fractions
´   Expressions & Equations
´   Order of Operations
´   Applications
´   Geometry
´   Draw & construct figures
´   Angles, area, volume
´   Statistics & Probability
´   Random sampling &
inferences
Math 7A
´   CCSS: Math 7 (see first column)
´   Ratios & Proportional Relationships
´   The Number System
´   Expressions & Equations
´   Geometry
´   Statistics & Probability
´   + CCSS: Math 8
´   The Number System
´   Irrationals & their approximations
´   Expressions & Equations
´   Radicals and exponents
´   Linear equations
´   Functions
´   Compare populations
´   Definition, evaluation & comparison
´   Use probability models
´   Modeling relationships b’t’n quantities
Math 7 = one year of CCSS math
Math 7A = 1.5+ years of CCSS math

11.

The Two Math Lanes in Middle School
Grade-Level
7th Grade
8th Grade
Lane
Course
Content
Course
Content
PAUSD’s
Math 7
Course
CCSS
Math 7
CCSS Math 7
PAUSD’s
Math 8
Course
Pacing
descriptionà
CCSS
Math 8
Advanced
Algebra
Two Years of
CCSS Math
in Two Years
Three Years
of CCSS Math
(CCSS Math 7,
8, & Algebra 1)
plus Algebra 1
Extensions in
Two Years
Acceleration
Lane
PAUSD’s
Math 7A
Course
PAUSD’s
Alg 8
Course

12.

Content and Pace
´  Students in Math7A will
complete more than 1 year of
material within the year; they will
complete more than 1 ½ years
of material in one year, namely
all of the 7th grade standards
AND more than half of the 8th
grade standards.
´  Students in Math 7 will complete
1 year of material (all of the 7th
grade standards)

13.

Multiple Indicators help teachers
determine a rubric score and course
placement suggestion…

14.

The teacher’s criteria for
suggested course placement
includes student…
´  achievement on classroom tests
´  homework completion and turn-in
rate
´  work and interest in extension and
challenge opportunities
´  work on math applications
opportunities
´  achievement on end-of-year exams

15.

CRITERIA  
Math 7A  
Math 7  
Classroom Unit Tests Average (First test score on unit tests)
   
94% to 100%
   
   
   
   
   
   
   
   
   
   
will receive an X in the Math 7A column  
90% to 100%
will receive an X in the Math 7A column  
Homework Average Throughout the year = 90% to 100%
will receive an X in the Math 7A column
(The Homework Average is based on completion or turn-in rate.)  
Consistently completed Math Extensions/Einsteins
will receive an X in the Math 7A column
(Students demonstrate interest in math by completing these challenge problems)  
Successfully completed Application Problems and Projects/
POPs
will receive an X in the Math 7A column
(POPs = process only problems)  
End of Year Test Part 1
   
92% to 100%
   
   
   
   
will receive an X in the Math 7A column  
85% to 100%
will receive an X in the Math 7A column  
End of Year Test Part 2
   
   
   
   
   
will receive an X in the Math 7A column  
Total number of Xs in each column      
   
92% to 100%
will receive an X in the Math 7A column  
85% to 100%

16.

The Course Placement
Suggestion
´  From the teacher’s criteria-based input
sheet
´  Generally:
Suggested Placement:
Most Xs in Math 7 column
……….. Math 7
Most Xs in Math 7A column
……….Math 7A

17.

Note: Students who earn
4 or 5 Xs in each column
ü  The student is in a grey area.
ü  The student may be more
successful in Math 7… or…
ü  The student may enroll in Math
7A, but may need some
additional support (extra HW
time, time with teacher, etc.)

18.

Math 7 or Math 7A?
´  Some students are not ready for
course acceleration in 7th grade.
´  There are summer school options
for those students should they be
interested in accelerating at a
later date.
´  These options are available at
the end of 7th, 9th ,10th and 11th
grades.

19.

If a student earned Xs in
the Math 7 column only…
´  …the student may need
additional support in the
Math 7 course,
such as extra HW time,
additional teacher time, or
enrollment in Math 7
Workshop.

20.

If a student earned Xs in the
Math 7A column only…
The student will be invited to take the
Math 7A Mastery Test (for placement
directly into Algebra). Please note that
students are not required to accept the
invitation. *Topics posted online.
There are no opportunities to take the
Math 7A Mastery Test without all Xs in
the Math 7A column.

21.

There are other opportunities
for acceleration—wait for the
right time:
´  Although acceleration is not appropriate for
every student, as students grow and change,
new capabilities may appear and, in math,
students may grow to
´  Show interest,
´  Embrace challenge
´  Demonstrate mastery of grade-level
standards
´  Increase the rate at which new ideas,
concepts and skills can be acquired

22.

Acceleration opportunities:
´  Between 7th & 8th Grade, after Math 7
´  Summer School: 4-week Alg 8 Summer Bridge
course
´  Between 9th & 10th Grade, after Alg 1 or Alg 1A
´  Summer School: 6-week Geometry A course
´  Between 10th & 11th Grade, after Geo or Geo A
´  Summer School: 4-week Algebra 2 course
´  Between 11th & 12th Grade, after Pre-Calc or IAC
´  Summer School: 3-week Intro to Calc course

23.

Bridging to Algebra 8 After Math 7
Students must:
ü  Earn solid As on tests in both semesters in Math 7
ü  Take advantage of extension opportunities
ü  Demonstrate ease with computation
ü  Participate in summer bridge* course (4 weeks; 4
hrs/day) & earn a B- or better
*An independent study option is available for
students who cannot attend the summer bridge
course.

24.

Students enrolled in
Math 7A
Students enrolled in
Math 7
Student consistently
earned less than an Aon classroom tests
Student consistently
earned an A- or better
on classroom tests
Math 8
Is the student
interested in
acceleration?
No: The current lane is
the correct level of
challenge & success:
Math 8
Yes: Bridge to Algebra 8
4-Week Summer
Course
Student consistently
earned less than a Bon classroom tests
Student consistently
earned an B- or better
on classroom tests
Is the student
interested in
continued
acceleration?
Algebra 8
No: Math 8
Did the student
consistently earn a Bor better on classroom
tests?
No: Math 8
Yes: Algebra 8
Yes: Bridge to Algebra 8
4-Week Summer Course
Did the student
consistently earn a Bor better on classroom
tests?
No: Math 8
Yes: Algebra 8

25.

After 8th grade
´  At the end of 8th grade there are more
laning options.
´  8th grade math teachers will suggest a
math course for your student.
´  For more information, please go to the
SB 359 Document or Math Placement
Link on the PAUSD Website.
MATH PLACEMENT/SB 359 DOCUMENT LINK
Math
Placement
Grade
5 to
Grade
6
Math
Placement
Grade
6 to
Grade
7
Math
Placement
Grade
7 to
Grade
8
Math
Placement
Grade
8 to
Grade
9
Math
Placement
Grade
6 to
Grade
12

26.

District Flowchart
handout p. 12
Four years of high
school math are a
good predictor of
success in college.
Math 6
Math 7
Math 7A
Math 8
Algebra 8
The lanes shown are
typical routes taken
by
6th
students. Movement
between lanes isGrade
possible based on
student performance,
7th
teacher suggestion,
and
Grade
potential summer
coursework.
8th
Grade
 
Algebra 1.1
(Paly)
Algebra 1/1A
(Gunn)
Algebra 1 (Paly)
Algebra 1/1A
(Gunn)
Algebra 1A (Paly)
Geo A
Geo H
9th
Grade
 
Algebra 1.2
(Paly)
Geometry
Algebra 2
Geometry
Geo A
Algebra 2 & Trig A
Algebra 2
Algebra 2 & Trig A
Introduction to
Analysis &
Calculus
Pre-Calculus
Introduction to
Analysis &
Calculus
Algebra 2 & Trig H
10th
Grade
 
Analysis H
11th
Grade
 
AP Calculus AB
AP Calculus BC
12th
Grade
 

27.

Considerations
´  It is important that a student chooses or is placed
appropriately for both challenge and success in
math courses throughout secondary education,
which they can largely meet on their own.
´  Building success is a journey, not a race. Student
success is not only the mastery of content and
skills, but includes enthusiasm for math along with
a healthy, balanced, and happy life.
´  The UC Requirements for Admission (and PAUSD
Graduation Requirements) in mathematics is the
successful completion of an Algebra 2 Course.

28.

Making a good decision…
´  What is good for your student?
´  Does the student enjoy math?
´  Is this course what the student wants?
´  Weigh the time that must be spent
with the student’s interest in the
course.
´  Consider the pacing of the course.
´  Know what to expect in the event of a
lane change.

29.

The Timeline:
´  The placement tests will be given to
all 6th graders in April/May.
´  Teachers will complete the rubric and
contact parents by the end of May.
´  Teacher’s placement-suggestion
letters will be mailed to parents.
´  The Math 7A Mastery Test (by
invitation only) will be given in Late
May and results reported by June.

30.

In the meantime,
´  Continue to encourage your
student to do the very best work in
math every single day!
´  Contact your student’s math
teacher if you have any questions
about this process.
´  Have your student request help or
more challenge when needed.
´  Thank you for coming
tonight!

31.

Time for questions

32.

District Flowchart
handout p. 12
Four years of high
school math are a
good predictor of
success in college.
Math 6
Math 7
Math 7A
Math 8
Algebra 8
The lanes shown are
typical routes taken
by
6th
students. Movement
between lanes isGrade
possible based on
student performance,
7th
teacher suggestion,
and
Grade
potential summer
coursework.
8th
Grade
 
Algebra 1.1
(Paly)
Algebra 1/1A
(Gunn)
Algebra 1 (Paly)
Algebra 1/1A
(Gunn)
Algebra 1A (Paly)
Geo A
Geo H
9th
Grade
 
Algebra 1.2
(Paly)
Geometry
Algebra 2
Geometry
Geo A
Algebra 2 & Trig A
Algebra 2
Algebra 2 & Trig A
Introduction to
Analysis &
Calculus
Pre-Calculus
Introduction to
Analysis &
Calculus
Algebra 2 & Trig H
10th
Grade
 
Analysis H
11th
Grade
 
AP Calculus AB
AP Calculus BC
12th
Grade
 

33.

CRITERIA  
Math 7A  
Math 7  
Classroom Unit Tests Average (First test score on unit tests)
   
94% to 100%
   
   
   
   
   
   
   
   
   
   
will receive an X in the Math 7A column  
90% to 100%
will receive an X in the Math 7A column  
Homework Average Throughout the year = 90% to 100%
will receive an X in the Math 7A column
(The Homework Average is based on completion or turn-in rate.)  
Consistently completed Math Extensions/Einsteins
will receive an X in the Math 7A column
(Students demonstrate interest in math by completing these challenge problems)  
Successfully completed Application Problems and Projects/
POPs
will receive an X in the Math 7A column
(POPs = process only problems)  
End of Year Test Part 1
   
92% to 100%
   
   
   
   
will receive an X in the Math 7A column  
85% to 100%
will receive an X in the Math 7A column  
End of Year Test Part 2
   
   
   
   
   
will receive an X in the Math 7A column  
Total number of Xs in each column      
   
92% to 100%
will receive an X in the Math 7A column  
85% to 100%