 ## Mathematics

The mathematics curriculum has been created to address the curriculum and scope and sequence prescribed by New York State. Students are taught the foundations of problem solving and are provided with many manipulatives in order to further develop their understanding of various concepts. Instructional bands covered:

PROBLEM SOLVING
Pursuing open-ended problem and extended problem-solving projects.

Investigating and formulating questions from problem situation.

Representing situations verbally, numerically, graphically, geometrically or symbolically.

COMMUNICATION
Discussing, writing, reading, and listening to mathematical ideas.

REASONING
Reasoning in spatial contexts.

Reasoning with proportions.

Reasoning from graphs.

Reasoning inductively and deductively.

CONNECTIONS

Connecting mathematics to other subjects and to the world outside the classroom.

Connecting topics within mathematics.

Applying mathematics.

NUMBER/OPERATIONS/COMPUTATION

Developing number sense.

Developing operation sense.

Creating algorithms and procedures.

Using estimation both in solving problems and in checking the reasonableness of results.

Exploring relationships among representations of, and operations on, whole numbers, fractions, decimals, integers, and rational numbers.

Developing an understanding of ration, proportion, and percent. Using estimation both in solving problems and in checking the reasonableness of results Exploring relationships among representations of, and operations on, whole numbers, fractions, decimals, integers, and rational numbers Developing an understanding of ratio, proportion, and percent

PATTERNS AND FUNCTIONS Identifying and using functional relationships Developing and using tables, graphs, and rules to describe situations Interpreting among different mathematical representations

ALGEBRA Developing an understanding of variables, expressions, and equations Using a variety of methods to solve linear equations and informally investigate inequalities and nonlinear equations

STATISTICS Using statistical methods to describe, analyze, evaluate, and make decisions

PROBABILITY Creating experimental and theoretical models of situations involving probabilities

GEOMETRY Developing an understanding of geometric objects and relationships Using geometry in solving problems

MEASUREMENT Estimating and using measurement to solve problems

INSTRUCTIONAL PRACTICES Actively involving students individually and in groups in exploring, conjecturing, analyzing, and applying mathematics in both a mathematical and a real-world context Using appropriate technology for computation and exploration Using concrete materials Being a facilitator of learning Assessing learning as an integral part of instruction