 Elementary Education    Mathematics Curriculum

 KINDERGARTEN MATHEMATICS CURRICULUM The kindergarten mathematics curriculum can be accessed by clicking on the following link: Kindergarten Mathematics Curriculum The two areas of focus at the kindergarten level are representing and comparing whole numbers and describing shapes and space. Students use numbers to represent quantities and to solve quantitative problems. Students describe their physical world using geometric ideas. They identify, name, and describe basic two-dimensional shapes. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.   FIRST GRADE MATHEMATICS CURRICULUM The first grade mathematics curriculum can be accessed by clicking on the following link: First Grade Mathematics Curriculum The areas of focus at the first grade level are developing understanding of addition, subtraction, and strategies for addition and subtraction within 20; developing understanding of whole number relationships and place value; developing understanding of linear measurement; and reasoning about attributes of, and composing and decomposing geometric shapes. Students employ use of a variety of models in developing strategies for adding and subtracting whole numbers. Through activities that build number sense, students understand the order of the counting numbers and their relative magnitudes. In addressing measurement, students develop an understanding of the meaning, underlying concepts, and processes of measurement. Finally, as students at the first grade level combine shapes and build understanding of part-whole relationships, they recognize them from different perspectives and orientations, describe their geometric attributes, and determine how they are alike and different. SECOND GRADE MATHEMATICS CURRICULUM The second grade mathematics curriculum can be accessed by clicking on the following link: Second Grade Mathematics Curriculum The areas of focus at the second grade level are extending understanding of base-ten notation, building fluency with addition and subtraction, using standard units of measure, and describing and analyzing shapes. Students understand multi-digit numbers (up to 1000) written in base-ten notation. They use their understanding of addition to develop fluency with addition and subtraction. Students recognize the need for standard units of measure, and they use rulers and other measurement tools with the understanding that linear measure involves an iteration of units.  Finally, students describe and analyze shapes by examining their sides and angles and by building, drawing, and analyzing two- and three-dimensional shapes. THIRD GRADE MATHEMATICS CURRICULUM The third grade mathematics curriculum can be accessed by clicking on the following link: Third Grade Mathematics Curriculum The areas of focus at the third grade level are developing understanding of multiplication and division and strategies for multiplication and division within 100, developing understanding of fractions, developing understanding of the structure of rectangular arrays and of areas, and describing and analyzing two-dimensional shapes. Students use properties of operations to calculate products of whole numbers, using increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving single-digit factors. Students develop an understanding of fractions and are able to use fractions to represent numbers equal to, less than, and greater than one. By decomposing rectangles into rectangular arrays of squares, students connect area to multiplication, and justify using multiplication to determine the area of a rectangle. Students describe, analyze, and compare properties of two-dimensional shapes. They compare and classify shapes by their sides and angles and connect these with definitions of shapes. FOURTH GRADE MATHEMATICS CURRICULUM The fourth grade mathematics curriculum can be accessed by clicking on the following link: Fourth Grade Mathematics Curriculum The areas of focus at the fourth grade level are developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends; developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; and understanding that geometric figures can be analyzed and classified based on their properties. Students apply their understanding of models for division, place value, properties of operations, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multi-digit dividends. Students extend previous understandings about how fractions are built from unit fractions, composing fractions from unit fractions, decomposing fractions into unit fractions, and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number. Through building, drawing, and analyzing two-dimensional shapes, students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry. FIFTH GRADE MATHEMATICS CURRICULUM The fifth grade mathematics curriculum can be accessed by clicking on the following link: Fifth Grade Mathematics Curriculum The areas of focus at the fourth grade level are developing fluency with addition and subtraction of fractions and developing understanding of the multiplication of fractions and of division of fractions in limited cases; extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and developing understanding of volume. Students apply their understanding of fractions and reaction models to represent the addition and subtraction of fractions. They finalize fluency with multi-digit addition, subtraction, multiplication, and division. They compute products and quotients of decimals to hundredths efficiently and accurately. Students recognize volume as an attribute of three-dimensional space. They select appropriate units, strategies, and tools for solving problems that involve estimating and measuring volume. They measure necessary attributes of shapes in order to determine volumes to solve real-world and mathematical problems. OTHER PERTINENT LINKS FOR MATHEMATICS DOCUMENTS Common Core Mathematics Standards by Domain (Grades K-8) Standards for Mathematical PracticeMAJOR WORK OF THE GRADE Kindergarten First Grade Second Grade Third Grade Fourth Grade Fifth Grade   ......................................................................................................................................... Published by Valerie Robinson on July 24, 2018
 Cumberland County Schools 2465 Gillespie Street • Fayetteville, NC 28306 910.678.2300 © Cumberland County Schools Send questions or comments to Web Manager