1. Agenda PWCS Balanced Math Program Grades 1 - 12
Welcome
Begin with the End in Mind
A Vertical Look at the Curriculum
Math Lessons (Fractions)
Grades – 1 & 2
Grades – 3 & 4
Grades – 5 & 6
Grades – 7 & 8
Where to go for Additional Information and Support

2. 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.

3. 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

4. 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
Pacing Guide
PWCS Mathematics Curriculum (SOLs)
Time frame for all units
Correlation to PWCS/ SOLs .
Planning Calendar
Expanded pacing guide
Day by day calendar

5. 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

6. Guidelines* for Mathematics Scheduling in Middle School SY 2007-2008
Fail
5th Grade
SOL Test
SOL > 500
B Average
Pass Proficient
on 5th Grade
Pass Advanced
Math 6
(6th Grade SOL)
Math 6 Extended
All 6th & half of 7th grade objectives taught. (6th Grade SOL)
Math 7
(7th Grade SOL)
Math 7 Extended
Half of 7th & all of 8th grade objectives taught. (8th Grade SOL)
Pre-Algebra
8th Grade
(8th Grade SOL)
Algebra I
(Algebra I SOL)
« 8th Grade
Concepts of Algebra & Geometry
Part I
(No SOL)
Advanced Geometry
(Geometry SOL)
« High School
« 6th Grade
« 7th Grade
Summer School
Additional Math Support in 6th Grade: Regulation

7. Suggested* High School Mathematics Sequences SY 2008-2009
Algebra I,
Part I
(No SOL)
Algebra I
(Algebra I SOL)
Pre-AP Geometry
(Geometry SOL)
Part II
Geometry
Algebra II
(Algebra II SOL)
Algebra, Functions, & Data Analysis††
Pre-AP
Algebra II/
Trigonometry
Functions Trigonometry
½ credit course ½ credit course
Functions/
Analytic Geometry
Probability/
Statistics
½ credit course
Discrete Math
AP Statistics
(AP Exam)
AP Calculus AB
AP Calculus BC
Concepts of Algebra and Geometry †
(8th Grade SOL)
Advanced Math

8. PWCS Math SOL Scores
% pass proficient

9. PWCS Math SOL Scores
% pass advanced

10. Major Concerns
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 one-fourth 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.

11. Major Concerns
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.

12. Do the Math Getting beyond Algebra 2 in high school bumps up the likelihood that a student will earn a Bachelor’s Degree.
From USA Today

13. 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

14. 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.

15. 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?

16. PWCS Mathematics Web Site www.pwcsmath.com