AgendaPWCS 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

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.

Content StandardsNumber and Number SenseComputation and EstimationMeasurement and Geometry Data Analysis and ProbabilityPatterns, Functions, & Algebra

Process StandardsProblem SolvingReasoning and ProofCommunicationConnectionsRepresentation

Mathematics Standards(K-8)

What we teach

How we teach

PWCS Mathematics Curriculum

(SOLs)

Textbook Series

• Supplemental Lessons

• Online Resources

Pacing Guide

• Time frame for all units

• Correlation to PWCS/ SOLs

.

Planning Calendar• Expanded pacing guide

• Day by day calendar

Assessments

• Student work & projects

• Teacher-made tests and quizzes

• Unit/ Chapter Tests

• CFA

Alignment of Curriculum, Planning and Assessment

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 SchoolSY 2007-2008

Fail 5th Grade SOL Test

SOL > 500B Average

Pass Proficienton 5th Grade

SOL Test

Pass Advanced on 5th Grade

SOL Test

Math 6

(6th Grade SOL)

Math 6 ExtendedAll 6th & half of 7th grade objectives

taught. (6th Grade SOL)

Math 7

(7th Grade SOL)

Math 7 ExtendedHalf of 7th & all of 8th grade

objectives taught. (8th Grade SOL)

Pre-Algebra8th Grade

(8th Grade SOL)

Algebra I

(Algebra I SOL)« 8th Grade

Concepts of Algebra & Geometry

(8th Grade SOL)

Algebra IPart I

(No SOL)

Algebra I

(Algebra I SOL)

Advanced Geometry

(Geometry SOL)

« High School

« 6th Grade

« 7th Grade

Summer SchoolAdditional Math Support in 6th

Grade: Regulation 649-1-5

Suggested* High School Mathematics SequencesSY 2008-2009

Algebra I, Part I

(No SOL)

Algebra I(Algebra I SOL)

Pre-AP Geometry

(Geometry SOL)

Algebra I, Part II

(Algebra I SOL)

Geometry(Geometry SOL)

Algebra II(Algebra II SOL)

Algebra, Functions, &

Data Analysis††

Pre-APAlgebra II/

Trigonometry(Algebra II SOL)

Functions Trigonometry ½ credit course ½ credit course

Functions/Analytic

Geometry

Probability/Statistics½ credit course

Discrete Math

½ credit course

AP Statistics(AP Exam)

AP Calculus AB

(AP Exam)

AP Calculus BC

(AP Exam)

Concepts of Algebra and Geometry †

(8th Grade SOL)

Advanced Math

0102030405060708090

100

3 4 5 6 8 Alg I Geom Alg II

200520062007

PWCS Math SOL Scores % pass proficient

0102030405060708090

100

3 4 5 6 8 Alg I Geom Alg II

200520062007

PWCS Math SOL Scores % pass advanced

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 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.

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 MathGetting beyond Algebra 2 in high school bumps up the likelihood that a student will earn a Bachelor’s Degree.

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Percent Who Earned Bachelor's Degree

CalculusPrecalculusTrigonometryAlgebra 2GeometryAlgebra IPre-Algebra

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 Sitewww.pwcsmath.com