Math

The Day School mathematics program strives to develop the basic concepts and skills that are used by students in their daily lives. The curriculum, aligned to NCTM (National Council of Teachers of Mathematics) standards, requires students to refine problem-solving skills through accurate conceptual and procedural knowledge and their practical applications. Mathematical reasoning is expanded through oral and written discussion to problems across the disciplines, particularly in Science and Social Studies.

The core set of curricular materials for the majority of students is Everyday Mathematics. This program is specifically designed to provide a spiraling curriculum that revisits topics at increasing levels of depth. Enrichment and enhancement activities are provided within the core materials. In addition, at all grade levels teachers supplement curricular materials to provide challenges as well as reinforcement of important skills and concepts. Alternative approaches offered by Everyday Mathematics allow for individual learning needs.

Kindergarten

In Kindergarten students develop foundational knowledge in a variety of mathematical areas through hands-on materials and a number of different kinds of manipulatives. Math is integrated in many activities throughout the day.

Numbers and Numeration: Rote counting; rational counting; place values and notation; meaning and use of factions; equivalent names for whole numbers; and comparing and ordering numbers.
Operations and Computation: Addition and subtraction procedures.
Measurement and Reference Frames: Length and weight; units and systems of measurement; money; and time.
Data and Chance: Data collection and representation; data analysis; qualitative and quantitative probability.
Algebra, Patterns, and Functions: Patterns and functions; algebraic notation and solving number sentences; properties of arithmetic operations; word problems.
Geometry: Plane and solid figures; transformations and symmetry; spatial relationships.

First Grade

First grade math develops a concrete awareness of using and applying math in everyday life. In addition, students move into the field of abstract concepts through numerical representation of quantities. This learning develops the foundation of mathematical processes and their applications.

Numbers and Numeration: Rote counting; rational counting; place values and notation; meaning and use of factions; number theory; equivalent names for whole numbers; equivalent names for whole factions, decimals, and percent; and comparing and ordering numbers.
Operations and Computation: Addition and subtraction procedures; addition and subtraction facts; multiplication and division procedures; computational estimation; and models for operations.
Measurement and Reference Frames: Length, weight and angles; area, perimeter, volume, and capacity, units and systems of measurement; temperature; money; and time.
Data and Chance: Data collection and representation; data analysis; qualitative and quantitative probability.
Algebra, Patterns, and Functions: Patterns and functions; algebraic notation and solving number sentences; properties of arithmetic operations; word problems.
Geometry: Lines and angles: plane and solid figures; transformations and symmetry.

“We offer our students a variety of strategies and tools to solve real life math problems. Teachers meet individual student needs while helping them gain important skills.” – HMJDS Faculty

Second Grade

In second grade we enrich and extend our understanding of basic operations. Students are introduced to multi-digit addition/subtraction operations. We also introduce fractions and extend concepts related to the making of change. We present the concept of multiplication and division using manipulatives.

Numbers and Numeration: Counting, place values and notation; meaning and use of factions; number theory; equivalent names for whole numbers; equivalent names for whole factions, decimals, and percent; and comparing and ordering numbers
Operations and Computation: Addition and subtraction procedures; addition and subtraction facts; multiplication and division procedures; multiplication and division facts; computational estimation; and models for operations.
Measurement and Reference Frames: Length, weight and angles; area, perimeter, volume, and capacity, units and systems of measurement; temperature; money; and time
Data and Chance: Data collection and representation; data analysis.
Algebra, Patterns, and Functions: Patterns and functions; algebraic notation and solving number sentences; properties of arithmetic operations.
Geometry: Lines and angles: plane and solid figures; transformations and symmetry.

Third Grade

Understanding the concept of multiplication and division using single digit numbers are an important part of third grade math. Students learn how to find equivalent fractions and how to convert improper fractions into mixed number and vice versa. Math groups are very fluid and may change after each unit to allow for differentiated instruction to meet specific student needs.

Numbers and Numeration: Whole numbers; money and decimals; fractions.
Operations and Computation: Addition and subtraction; addition and subtraction with decimals; multiplication and division.
Measurement and Reference Frames: Length; perimeter; money; and time.
Data and Chance: Data collection and representation; data analysis.
Algebra, Patterns, and Functions: Visual patterns; number patterns; functions; number sentences and equations; inequalities and expressions.
Geometry: 2-dimensional shapes (polygons), 3-dimensional shapes, symmetry, congruence and similarity; points, lines and angles.

Fourth Grade

In fourth grade, students work extensively on multiplication and division of multi-digit numbers using a variety of algorithms (problem solving procedures). Students also learn how to represent parts of the whole through fractions, decimals, and percent. Math groups may move at different paces to allow for differentiated instruction to meet specific student needs and to reinforce concepts.

Numbers and Numeration: Whole numbers, money and decimals, fractions, positive and negative numbers and percentages.
Operations and Computation: Addition and subtraction with decimals; multiplication and division with decimals; multiplication and division with fractions; ratio, proportion, and percent.
Measurement and Reference Frames: Length, capacity, volume, weight, perimeter, area, money, time.
Numbers and Numeration: Whole numbers, money and decimals, fractions, positive and negative numbers and percentages.
Operations and Computation: Addition and subtraction; addition and subtraction with decimals; multiplication and division; multiplication and division with decimals; multiplication and division with fractions; ratio, proportion, and percent.
Measurement and Reference Frames: Length, capacity, volume, weight, perimeter, area, money, time.
Data and Chance: Collecting/recording/displaying/evaluating data, probability and chance.
Algebra, Patterns, and Functions: Visual patterns, number patterns, sequences, functions, number sentences; equations, inequalities and expressions, integers (positive/negative numbers).
Geometry: 2-dimensional shapes, 3-dimensional shapes, symmetry, points, lines and angles. Students use tools to measure and draw angles, rays, points, lines, and line segments.