Page 13 - GRADE 5 Curriculum Guide

Math
New York State Common Core Standards
http://www.p12.nysed.gov/ciai/common_core_standards/pdfdocs/nysp12cclsmath.pdf
Bridges Math: https://www.mathlearningcenter.org/bridges

The Elementary Bridges mathematics program emphasizes conceptual understanding of mathematical ideas.
Students explore relationships and properties of number through the use of materials, including cubes, Place
value blocks (Base 10 materials), color cubes, and pattern blocks, before they write down their discoveries.
They learn to perform fundamental operations and derive algorithms (common procedures for addition,
subtraction, multiplication, and division) by using manipulatives. Elementary children relate mathematics to
practical and real-life situations through measurement, telling time, money, mapping, graphing, patterns,
spatial relations, and statistics.

The program provides a balance between the development of a strong number sense and problem solving
skills on the one hand, and practicing computational skills on the other. Math instruction involves a variety of
experiences, including investigations with materials, class discussions, games, projects, and paper and pencil
work. At each age level, students review, consolidate, and build on prior knowledge. Teachers encourage
students to develop their own intuitive mathematical sense and to trust their hypotheses. There is as much
emphasis on the strategy, process, and mental exercise used to solve a problem as on getting the right
answer. Valuing the process as well as the product is an essential part of the school's philosophy regarding
learning; we believe learners internalize new concepts through a thorough grasp of the process involved.
Mathematics is taught by the classroom teacher.

At the completion of the academic year, students in GRADE 5 should:
Processes and Practices
• Applies concepts and strategies to solve math problems
• Communicate and represent mathematical thinking

Number
• Show understanding of number, quantities, and their relationships
• Estimates and accurately computes addition and subtractions problems
• Estimate and compute multiplication and division problems
• Show understanding of fractions decimals, and percentages.

Patterns, relationships, and functions
• Apply understanding of patterns to make predictions and draw conclusions
• Use variables in equations and inequalities to express number relationships

Measurement
• Demonstrate understanding of attributes that can be measure
• Estimate and accurately measure using appropriate tools and techniques.

Data Analysis
• Begin to collect, classify, and represent data

Geometry and Spatial relations
• Analyze properties and relationships among 2-D and 3-D shapes
• Explore and solve spatial problems

Data collection and probability
• Use tables, charts, and graphs to collect record, and interpret data
• Show understanding of basic concepts of probability.

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