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.
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.
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.
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.
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.
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.
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.
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.
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.
Arlington Public Schools prohibits discrimination on the basis of race, national origin, creed, color, religion, gender, age, economic status, sexual orientation, marital status, genetic information, gender identity or expression, and/or disability. This policy provides equal access to courses and programs, counseling services, physical education and athletics, vocational education, instructional materials and extra-curricular activities.
I love providing students with a schedule of what I expect them to complete each week! We start with the test date and then plan the weeks leading up to it. Students seem to appreciate having this structure!
As math teachers, we understand how precious time is! As a result, we must make sure anything we do is moving the needle forward. So we must utilize varied question types and problem-solving approaches when it comes to test prep. The state test will have a mix of multiple-choice and open-ended questions so we must make sure our review reflects that.
Since we are working with time constraints, I typically allocate about 15 minutes per day for test review. This may be every day, every other day, or just a couple of times per week. It just depends on how behind I am with pacing.
Reference sheets are great because they summarize everything from the year into nice little sheets! Math reference sheets allow students to see multiple concepts at once! I often allow students to use them or their guided notes on tests throughout the year.
I am not a fan of mandatory homework but I do believe in suggested homework. Some students (and parents) want to have as many opportunities to prepare for the test as possible, so I provide them this opportunity!
I am a fan of rewarding students, so to maximize engagement I have a big bag of Jolly Ranchers ready to go for students who participate as we go over the problems. In addition, if students get all the questions correct by the due date, they will earn a ticket. The tickets can be used to purchase items from our class ticket store.
Course materials in Math 4 rely on a nautical theme to show how math plays an integral role in our world. Students will focus on creation by exploring the lives of Captain Bailey and his pet seagull, Clipper, and by using manipulatives that keep them in touch with the real-world.
Students will apply computation skills to challenges in order to develop problem-solving skills in real-world situations. As they work with activities and manipulatives, they develop automaticity in problem solving.
The worktext develops problem-solving skills and teaches students to work out math problems accurately. Each math concept is demonstrated in clear examples before students attempt the exercise problems. Each chapter concludes with a chapter review and cumulative review to help students retain these math concepts. STEAM activities offer students the opportunity to work with Science, Technology, Engineering, Art, and Mathematical skills.
The program includes a variety of visual and hands-on learning opportunities through student and teacher manipulatives and the teacher visuals. Packets include both student sizes for independent work and classroom sizes for use with groups. The teacher visuals include 45 colorful teaching charts for display purposes.
Many studies have shown that, during the summer, students lose a substantial portion of their math skills acquired over the course of a school year. This puts them at a disadvantage upon returning for a new school year, as the expectations of a new course presuppose the skills and knowledge taught in the previous course.
The Seton math department in coordination with the administration, has assembled review packets for most of our math students. If you will be enrolled in General Math, Pre-Algebra, Algebra I, Geometry, or Algebra II in the fall, you are required to complete a review packet before the school year begins. Please make effort to turn in the packets by August 16, so that the teachers can have them graded before opening day.
Our third grade math worksheets support numeracy development and introduce division, decimals, roman numerals, calendars and concepts in measurement and geometry. Our word problem worksheets review skills in real world scenarios.
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