Transcript Agenda PWCS Balanced Math Program Grades 1

Agenda
PWCS Balanced Math Program
Grades 1 - 12
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Welcome
Begin with the End in Mind
A Vertical Look at the Curriculum
Math Lessons (Fractions)
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Grades – 1 & 2
Grades – 3 & 4
Grades – 5 & 6
Grades – 7 & 8
• Where to go for Additional Information and
Support
Prince William County
Mathematics Vision Statement
Prince William County Schools’ mathematics
program promotes an environment in which
students develop a comprehensive and enduring
understanding of the concepts of mathematics.
Students learn to effectively apply these
concepts and use a variety of problem solving
strategies. The program nurtures a productive
disposition toward mathematics, challenges all
learners, and supports further investigations in
this field.
Mathematics Standards
(K-8)
Content Standards
Number
and Number Sense
Computation and Estimation
Measurement and Geometry
Data Analysis and Probability
Patterns, Functions, & Algebra
What we teach
Process Standards
Problem
Solving
Reasoning and Proof
Communication
Connections
Representation
How we teach
Alignment of Curriculum,
Planning and Assessment
Textbook Series
• Supplemental Lessons
• Online Resources
Assessments
• Student work &
projects
• Teacher-made
tests and quizzes
• Unit/ Chapter
Tests
• CFA
PWCS
Mathematics
Curriculum
(SOLs)
Pacing
Guide
• Time frame for
all units
• Correlation to
PWCS/ SOLs
.
Planning Calendar
• Expanded pacing guide
• Day by day calendar
Graduation Requirements
•Advanced Studies Diploma
– 4 years of math at or above the Algebra level
(must include Algebra II)
•Standard Diploma
– 3 years of math at or above the Algebra level
•Modified Standard Diploma
– 3 years of math including content from Algebra,
Geometry, Personal Living and Finance or higher
Guidelines* for Mathematics Scheduling in Middle School
SY 2007-2008
Fail
Pass Proficient
Pass Advanced
5th Grade
SOL Test
on 5th Grade
SOL Test
on 5th Grade
SOL Test
Summer School
Additional Math Support in 6th
Grade: Regulation 649-1-5
Math 6
Math 6 Extended
(6th Grade SOL)
All 6th & half of 7th grade objectives
taught. (6th Grade SOL)
Math 7
(7th
Concepts of Algebra
& Geometry
(8th Grade SOL)
SOL > 500
B Average
Grade SOL)
Math 7 Extended
Half of 7th & all of 8th grade
objectives taught. (8th Grade SOL)
Pre-Algebra
8th Grade
Algebra I
(8th Grade SOL)
(Algebra I SOL)
« 6th Grade
« 7th Grade
« 8th Grade
Algebra I
Part I
Algebra I
Advanced
Geometry
(No SOL)
(Algebra I SOL)
(Geometry SOL)
« High
School
Suggested* High School Mathematics Sequences
SY 2008-2009
Concepts of
Algebra and
Geometry †
Algebra I,
Part I
Algebra I
(Algebra I SOL)
(No SOL)
Pre-AP
Geometry
(Geometry SOL)
(8th Grade SOL)
Algebra I,
Part II
Geometry
(Geometry SOL)
(Algebra I SOL)
Algebra,
Functions, &
Data Analysis††
Pre-AP
Algebra II/
Trigonometry
Algebra II
(Algebra II SOL)
(Algebra II SOL)
Advanced Math
Functions Trigonometry
½ credit course
Probability/
Statistics
Discrete
Math
½ credit course
½ credit course
AP Statistics
(AP Exam)
½ credit course
Functions/
Analytic
Geometry
AP Calculus
AB
AP Calculus
BC
(AP Exam)
(AP Exam)
PWCS Math SOL Scores
% pass proficient
100
90
80
70
60
50
40
30
20
10
0
2005
2006
2007
3
4
5
6
8
Alg I Geom Alg II
PWCS Math SOL Scores
% pass advanced
100
90
80
70
60
50
40
30
20
10
0
2005
2006
2007
3
4
5
6
8
Alg I Geom Alg II
Major Concerns - 2007
•Scores for ESOL, Special Education, minority, and disadvantaged
students are much lower than students not in those subgroups. Special
Education is the lowest of all subgroups.
•Less than 70% of students are passing the 6th and 7th grade tests.
•Algebra I scores have changed little over 5 years. Approximately onefourth failed this test last year.
•Algebra I, Geometry and Algebra II scores all dropped last year. Every
student must pass the SOL in at least one of these to graduate.
•The number of advanced scores in 3rd grade, Geometry, and Algebra II
has dropped over the past three years.
•At the high school level, only one fifth or fewer students are scoring at
the advanced level on these minimal competency tests.
Major Concerns - 2007
•70% of our students passing on SOL tests is not nearly enough. Our
students deserve much more than “success” being defined as
meeting the low standards of these tests as defined by the State. (It
only took a score of 54% to pass the Algebra I SOL test this past
spring!)
•SAT scores in Prince William County have been dropping. The most
recent scores were below National and State averages.
•Approximately 1500 students in PWCS do not go further than
Geometry into Algebra II.
•Many of our best students are not achieving pass advanced scores
even on the SOLs. Often these students are the ones who have
memorized procedures and have little true understanding of the
concepts even though they make good grades.
Do the Math
Getting beyond Algebra 2 in high school bumps up the
likelihood that a student will earn a Bachelor’s Degree.
90
80
70
Calculus
Precalculus
Trigonometry
Algebra 2
Geometry
Algebra I
Pre-Algebra
60
50
40
30
20
10
0
Percent Who Earned Bachelor's Degree
From USA Today
A Vertical Look at the Curriculum
• All Strands – (handout)
• How does one concept develop over time?
– Number Sense with Fractions (handout or slide)
• Breakout session
– Parents – work through the lesson with the Teacher Leader from the
perspective of a child at that level.
– Record responses to the questions on the Chart.
– Choose a spokesperson for your group who will be willing to share out with
the whole group.
• Whole group session
– Listen to each group share out responses to the lesson at each grade level.
– Compare and contrast the development of Number Sense with Fractions over
time
Virginia SOLs (PWCS)
• 2.4 Use concrete materials to identify the part of a set and/or region
that represents the fractions 1/2, 1/3, 1/4, 1/8, and 1/10 and write the
corresponding fraction.
• 3.5A Divide regions and sets to represent fractions.
• 3.5B Name and write the fraction represented by a given
model/area/region, length/measurement, and set. Fractions
(including mixed numbers) will include halves, thirds, fourths,
eighths, and tenths.
• 6.6 Model, explain and solve problems that involve addition,
subtraction, multiplication, and division with fractions and mixed
numbers, with and without regrouping, that include like and unlike
denominators of 12 or less, and express their answers in simplest
form.
• 7.4 Solve practical problems using rational numbers/ whole
numbers, fractions, decimals and decimals) and percents. Use
calculators to verify estimates and solutions to problems.
Response Questions
• How did you make sense of the problem/
activity?
• How is the objective reflected in the
lesson?
• In what ways can you identify with a
student at this level?
• What surprised you?
PWCS Mathematics Web Site
www.pwcsmath.com