Curriculum Detail

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Math

Math classes at LREI are investigation based. In groups or individually, students are given time to explore and tackle problems in ways that make sense to them. As a class, students then summarize discoveries to extend and formalize concepts. Throughout each unit of study, students develop and maintain computational fluency.
    
We believe that doing math means:
  • Grappling with connecting the abstract and the concrete
  • Building powerful mathematical ideas through direct experience with unfamiliar problems
  • Generalizing, generating and testing theories
  • Working in groups, pairs, or independently
  • Communicating one’s thinking in discussion and in writing
  • Supporting ideas with proof
  • Analyzing and evaluating
  • Appreciating and incorporating the mathematical thinking of others
  • Approaching novel situations with curiosity and confidence
  • Applying a structured approach to unstructured information
  • Being flexible and persistent – looking for meaning, not just applying a rule
  • Finding and using connections between ideas and concepts
By the end of middle school, our students are confident, capable and curious mathematical thinkers. Our curriculum supports all students by engaging them in meaningful activities embedded in interesting problems.
  • Math 5

    In fifth grade, students investigate four major areas: the properties of whole numbers, two-dimensional geometry, fractions, decimals and percents, and an introduction to concepts in algebra. They study place value, number theory, including factors, multiples, primes, composites, and prime factorization. The unit on fractions, decimals, and percents focuses on the concept of equivalence - students move among fractions, decimals, and percents, and compare and order rational numbers. In the study of geometry, they learn about area and perimeter including calculating both, and are introduced to the concepts of surface area and volume. By solving open-ended problems about growth and change, students learn about variables and representations of relationships, including tables, graphs, words, and symbols. Reasoning and proof are established as classroom norms throughout the year. Students develop mathematical confidence and communication skills through the use of multiple models - visual, algebraic, numeric and physical - as well as group problem solving, discussion and writing exercises.
  • Math 6

    In the sixth grade, students continue to develop their understanding of mathematical concepts, their facility with basic operations involving whole numbers, fractions, and decimals and their independence and confidence in the application of new concepts and skills. Students study statistics and probability, rational numbers, geometry, 2-dimensional measurement, and algebra (integer operations and evaluating algebraic expressions). They build an understanding of the mathematical world using hands-on investigations, group problem-solving, discussion and writing exercises. Students use calculators and desktop computers to enrich their understanding of the material covered. Teachers supplement basic texts with a variety of materials, including manipulatives. Drill work reinforces students’ understanding of new concepts and enhances computational accuracy. Throughout the year, real-world applications are used to reinforce concepts studied in class.
  • Math 7

    In the seventh grade, students reinforce and expand upon their understanding of mathematical concepts: proportional reasoning, analysis of quantitative information, mathematical similarity, three-dimensional measurement, integer operations and introductory algebra (exploring patterns and functions). They build an understanding and appreciation of the mathematical world using hands-on investigations, group problem-solving, discussion and writing exercises. Teachers supplement basic texts with a variety of materials, including manipulatives. Drill work reinforces students’ understanding of new concepts while promoting computational fluency. Throughout the year, real-world applications are used to reinforce concepts studied in class.
  • Math 8

    The eighth grade curriculum focuses on developing a solid understanding of patterns and functions – linear, exponential and quadratic - as expressed in graphs, tables, equations and narratives. The students also spend time deciphering and applying the Pythagorean theorem while operating with radical expressions. We continue to promote computational fluency while teaching and reinforcing basic algebraic skills. Students challenge and sharpen their ability to use skills learned to analyze and organize data, express relationships and solve problems. Concepts are investigated through a mix of individual assignments, group problem-solving and class discussion. Students also use graphing calculators to enhance and reinforce their understanding.
  • Math 8 Accelerated

    In addition to the regular Math 8 curriculum, students in the accelerated section move faster through the curriculum and complete additional units in algebra.
  • Math Seminar 5

    Students who need an extra math challenge attend the weekly Mathematics Investigations Seminar, where they are exposed to ongoing investigations into a broad range of topics not covered in the math curriculum but using skills already learned. They also are challenged to learn new skills not taught in regular classes.
  • Math Seminar 6

    Students who would benefit from extra math challenge attend the weekly Mathematics Seminar, where they engage in ongoing investigations into a broad range of topics not covered in the math curriculum. In the sixth grade, these topics include fractal geometry, the statistics of flying paper gliders, and topics in discrete mathematics including vertex-edge graphs, paths and circuits, Euler's formula, and non-Euclidean geometry.
  • Math Seminar 7

    Students who would benefit from extra math challenge attend the weekly Mathematics Seminar, where they engage in ongoing investigations into a broad range of topics not covered in the math curriculum. In the seventh grade, these topics include the algebraic solutions to puzzles and problems such as the Tower of Hanoi, permutations and combinations, the mathematics of "random walks" on a grid, and the trigonometry of coastal and celestial navigation.

Faculty

  • Photo of Margaret Andrews
    Margaret Andrews
    Middle School Assistant Principal
    212-477-5316, ext. 206
    Bio
  • Photo of Michelle Boehm
    Michelle Boehm
    Middle School Mathematics Teacher
    212-477-5316, ext. 397
    Bio
  • Chris Klein
    Bio
  • Erica LaMagna
  • Jack Peisch
Little Red School House
and Elisabeth Irwin High School

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  • Since 1921