MATHEMATICS CURRICULUM

ESD Mathematics Philosophy

The Epping School District believes that mathematics can and must be learned by all students. We offer a learning environment that fosters habits of deliberation, orderliness, analytical thinking, logical reasoning, problem-solving, perseverance and an appreciation for the precision of mathematics. We engage students in real life applications of mathematics so that they will graduate with the mathematical knowledge and skills to be college and career ready.

ESD Mathematics Goals

All students will develop a firm grounding in number sense that includes computational fluency.
All students will develop a basic understanding of key concepts and principles central to the study of geometry, algebra probability, and data analysis while appreciating the interrelationships of all areas of mathematics.
All students will develop strong mathematical problem solving and reasoning abilities.
All students will develop the ability to use appropriate technology to solve mathematical problems.
All students will develop the ability to communicate their understanding of mathematics effectively.
All students will develop the ability to apply mathematics to the 21 century interdisciplinary themes.

Mathematical Practices

These practices are continuously used throughout the Common Core State Standards in mathematics and are used by Epping School District teachers.

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

How Do Mathematicians Think?

Problem Solving
What do I see or visualize when I look at this problem?
What information do I have? What information do I need? How do I get that information?
What strategy do I use to solve the problem? What strategies do others use? What strategy would be best? What do I do when I get stuck?
What common mistakes do people make when working with this type of problem? What is the misunderstanding that causes the mistake?

Making Connections
Have I seen this before? How does that connection help?
Where do I recognize and apply mathematics in my life?

Reasoning and Proof
Have I seen this before? How does that connection help?
Where do I recognize and apply mathematics in my life?

Representation
How do I best show my thinking?

District Competencies

Problem Solving: Students will demonstrate the ability to make sense of problems and persevere in solving them, plan solutions, apply a variety of appropriate strategies, build new knowledge, solve practical "real world" problems, and check for reasonableness of results.

Reasoning & Proof: Students will demonstrate the ability to reason abstractly and quantitatively, construct viable arguments and proofs, make and investigate conjectures, and critique the reasoning of others.

Communication & Representation: Students will demonstrate the ability to communicate to others using clear definitions and symbolic representations, perform calculations, organize and manipulate mathematical symbols accurately and efficiently, and express numerical answers with precision.

Mathematical Modeling: Students will demonstrate the ability to identify important quantities in practical situations, map their relationships using a variety of representations, and analyze those relationships mathematically to draw conclusions.

Sequence of Topics

The tables below are a summary of concepts that students learn in each grade level. This information is topical in nature -- for example, students learn to count to 100 in kindergarten or learn about about decimal concepts in fifth grade. The tables do not clarify each and every skill that a student needs as a foundation for the next skill, but the tables are based on the Common Core State Standards which can be accessed below. Please click on the links below to see the progression of mathematics understandings that are included in these standards and in mathematics instruction in Epping.

Sequence of Concepts Grades K-5

Sequence of Concepts Grades 6-8

Student Friendly Standards

It is important for our students to understand what they are learning and be able to state this emphatically, "I can....." Therefore we have taken the standards and changed them into friendlier language!

State & National Mathematics Standards