Elementary Math Program
Learning Standards
Mathematics instruction in APS is aligned to the five Process Standards for Mathematics developed by the National Council of Teachers of Mathematics and promoted by the Virginia Department of Education.
Mathematical Problem Solving
Students will apply mathematical concepts and skills and the relationships among them to solve problem situations of varying complexities. Students also will recognize and create problems from real-world data and situations within and outside mathematics and then apply appropriate strategies to determine acceptable solutions. To accomplish this goal, students will need to develop a repertoire of skills and strategies for solving a variety of problem types. A major goal of the mathematics program is to help students apply mathematics concepts and skills to become mathematical problem solvers.
Mathematical Communication
Students will communicate thinking and reasoning using the language of mathematics, including specialized vocabulary and symbolic notation, to express mathematical ideas with precision. Representing, discussing, justifying, conjecturing, reading, writing, presenting, and listening to mathematics will help students to clarify their thinking and deepen their understanding of the mathematics being studied. Mathematical communication becomes visible where learning involves participation in mathematical discussions.
Mathematical Reasoning
Students will recognize reasoning and proof as fundamental aspects of mathematics. Students will learn and apply inductive and deductive reasoning skills to make, test, and evaluate mathematical statements and to justify steps in mathematical procedures. Students will use logical reasoning to analyze an argument and to determine whether conclusions are valid. In addition, students will use number sense to apply proportional and spatial reasoning and to reason from a variety of representations.
Mathematical Connections
Students will build upon prior knowledge to relate concepts and procedures from different topics within mathematics and see mathematics as an integrated field of study. Through the practical application of content and process skills, students will make connections among different areas of mathematics and between mathematics and other disciplines, and to real-world contexts. Science and mathematics teachers and curriculum writers are encouraged to develop mathematics and science curricula that support, apply, and reinforce each other.
Mathematical Representations
Students will represent and describe mathematical ideas, generalizations, and relationships using a variety of methods. Students will understand that representations of mathematical ideas are an essential part of learning, doing, and communicating mathematics. Students should make connections among different representations – physical, visual, symbolic, verbal, and contextual – and recognize that representation is both a process and a product.
Textbooks
The textbooks and online text resources are just one aspect of the media and methodology used to create rich instructional units.
Arlington Public Schools uses the following purchased resources to support the teaching and learning of the Virginia Department of Education Standards of Learning for Mathematics.
- Savvas Realize/enVision
Do the Math (Intervention)
Bridges (Intervention)
Kathy Richardson (Intervention)
Project M2 and M3: Mentoring Young Mathematicians
Elementary Math Resources
Summer Reviews
Below please find summer mathematics reviews. Please select the grade/math course that your child completed during the previous school year.
Please note that these summer reviews are designed to help students review the Virginia Standards of Learning for a particular grade level. Successful completion of these summer reviews does not indicate a child has mastered the content for that particular grade level.
Elementary
Secondary Math Program
Learning Standards
Five Process Standards of Mathematics (Developed by the National Council of Teachers of Mathematics and Promoted by the Virginia Department of Education)
Mathematical Problem Solving Students will apply mathematical concepts and skills and the relationships among them to solve problem situations of varying complexities. Students also will recognize and create problems from real-world data and situations within and outside mathematics and then apply appropriate strategies to determine acceptable solutions. To accomplish this goal, students will need to develop a repertoire of skills and strategies for solving a variety of problem types. A major goal of the mathematics program is to help students apply mathematics concepts and skills to become mathematical problem solvers.
Mathematical Communication Students will communicate thinking and reasoning using the language of mathematics, including specialized vocabulary and symbolic notation, to express mathematical ideas with precision. Representing, discussing, justifying, conjecturing, reading, writing, presenting, and listening to mathematics will help students to clarify their thinking and deepen their understanding of the mathematics being studied. Mathematical communication becomes visible where learning involves participation in mathematical discussions.
Mathematical Reasoning Students will recognize reasoning and proof as fundamental aspects of mathematics. Students will learn and apply inductive and deductive reasoning skills to make, test, and evaluate mathematical statements and to justify steps in mathematical procedures. Students will use logical reasoning to analyze an argument and to determine whether conclusions are valid. In addition, students will use number sense to apply proportional and spatial reasoning and to reason from a variety of representations.
Mathematical Connections Students will build upon prior knowledge to relate concepts and procedures from different topics within mathematics and see mathematics as an integrated field of study. Through the practical application of content and process skills, students will make connections among different areas of mathematics and between mathematics and other disciplines, and to real-world contexts. Science and mathematics teachers and curriculum writers are encouraged to develop mathematics and science curricula that support, apply, and reinforce each other.
Mathematical Representations Students will represent and describe mathematical ideas, generalizations, and relationships, using a variety of methods. Students will understand that representations of mathematical ideas are an essential part of learning, doing, and communicating mathematics. Students should make connections among different representations – physical, visual, symbolic, verbal, and contextual – and recognize that representation is both a process and a product.
Textbooks/Resources
Arlington Public Schools uses the following purchased resources to support the teaching and learning of the Virginia Department of Education Standards of Learning for Mathematics. Textbooks and online text resources are just one aspect of the media and methodology used to create rich instructional experiences for our students.
- Savvas Realize
IXL
DeltaMath
Bridges (Intervention)
Do the Math (Intervention)
Course Progressions
Course Recommendations
Data Points that are Considered in the Mathematics Course Recommendation Process for Rising 6th Graders Include:
- Virginia Standards of Learning (SOL) Grade 4 Mathematics Assessment Score
- Virginia Standards of Learning (SOL) Grade 5 Mathematics Assessment Score
- Cognitive Abilities Test (CogAT) Quantitative Score
- Cognitive Abilities Test (CogAT) Nonverbal Score
- Grade 5 End-of-Year MAP Growth Math Assessment Score
Note: APS administers the CogAT at the elementary school level. The test is divided into three sub-tests: Verbal, Non-Verbal, and Quantitative. For math course recommendations, the two subtest used are quantitative and nonverbal. The Advanced Academics Coach (AAC) at each child’s elementary site can provide additional information about CogAT.
Many strong math students are usually recommended for Math 6. And, Math 6 is a rigorous course! The majority of APS students will spend a year in Math 6 in order to gain a solid mathematics foundation, as outlined by the 2016 curriculum, before potentially receiving a compacted curriculum the following year. The Grade 6 mathematics standards include content that was historically taught in higher level math courses.
Data Points that are Considered in the Mathematics Course Recommendation Process for Rising 7th and 8th Graders Include:
- Virginia Standard of Learning (SOL Score from Currently Enrolled Math Course)
- Grade Level End End-of-Year MAP Growth Math Assessment Score
- Grades from Quarter 1, Quarter 2, and Quarter 3 of the Currently Enrolled Math Course
Secondary Math Resources
Summer Reviews
- Math 6 Summer Review Packet
- Math 7 Summer Review Packet
- Pre-Algebra for 8th Graders Summer Review Packet
- Note: Pre-Algebra for 6th Graders students might review the Math 6, Math 7, and Pre-Algebra for 8th Graders packets. Pre-Algebra for 7th Graders students might review both the Math 7 and Pre-Algebra for 8th Graders packets.
- Algebra I (and Intensified Algebra I) Summer Review
- Please note the header says Intensified Geometry – this packet reviews Algebra topics most essential for Geometry – (created by W-L Teachers)
- Geometry Intensified Summer Review – (created by W-L Teachers)
Due to the nature of High School summer review packets (teachers may collect these, evaluate these, and may assign a grade) keys are not posted for High School Credit courses’ summer review packets.
Contact Us
Office of Mathematics
Syphax Education Center
2110 Washington Boulevard
Arlington, Virginia 22204
Office Phone Number: 703-228-6135
Staff of the Office of Mathematics
- Supervisor of K-12 Mathematics – Carl Seward
- Elementary Mathematics Specialist – Robyn Kaye
- Secondary Mathematics Specialist –Leonda Archer
- Administrative Assistant – Dolores Baldoz
Mathematics Contacts by School
Elementary School Coaches
- Abingdon – Estela Tice & Kelly Penfield
- Arlington Science Focus – Emily Foster
- Arlington Traditional –
- Ashlawn – Patrick Carmack
- Barcroft – Jen Everdale & Jaime Vincent
- Barrett – Lauren Ferraro & Wendy Mastaler
- Campbell – Kathryn Barker
- Cardinal –Dina Valente
- Carlin Springs – Tani McGinnis & Lauren Elkins
- Claremont – Ivy Mejias-Rivera
- Discovery – Angela Torpy
- Drew – Jacqui Greene& Patrick Carmack
- Escuela Key – Meg Enriquez
- Fleet – Catherine Maness
- Glebe – Julie Ray
- Hoffman-Boston –
- Innovation – Carrie Cleary
- Jamestown – Marie Keough
- Long Branch – Megan Koehler
- Montessori PSA – Amreen Alvi
- Nottingham – Kristin Muller
- Oakridge – Caryn Saunders
- Randolph – Christine Chapuis
- Taylor – Susan Birnie
- Tuckahoe – Kristen Zarkowsky
Middle School Coaches
- Gunston – Almarie Campbell
- Hamm – Sabrina McManus
- H-B Woodlawn – Stephanie Nichols
- Jefferson – Melissa Cobbs
- Kenmore –Dona Bredwood
- Swanson – Laura Partridge
- Williamsburg – Jennifer Palermo
High School Coaches
- H-B Woodlawn – Stephanie Nichols
- Wakefield – Cara Saavedra
- Washington-Liberty – Karen Bui
- Yorktown – Deborah Seidenstein
- Arlington Career Center – Krystina Lange