District

 

 

 


HOME

Scotch Plains-Fanwood Public Schools
Programs - Middle School
2009 - 2010
(approved 8/27/09)

Mathematics

A working knowledge of mathematics is vital to deal effectively with daily life. The primary purpose of our middle school mathematics program is to help students develop their ability to solve problems and reason logically. The middle school curriculum aims to give all students the opportunity to appreciate the full power and beauty of mathematics and to acquire the mathematical knowledge and intellectual tools necessary for its use in their lives.

GRADE 6

Sixth grade students continue the Everyday Mathematics program produced by the University of Chicago School Mathematics Project. In this program students are introduced to a number of mathematics "strands" from Kindergarten through middle school. These strands are:

  • Algebra and Uses of Variables
  • Data and Chance
  • Geometry and Spatial Sense
  • Measures and Measurements
  • Numeration and Order
  • Operations
  • Patterns, Functions, and Sequences
  • Reference Frames
  • Spreadsheet Applications

One main aim of the sixth grade program is to bring closure to many of the topics begun in earlier grades and to build maturity, confidence, and problem-solving skills. Another aim is to lay the foundation for algebra, geometry, and data analysis.

A key feature of this program is the high interest everyday situations that are used to present mathematics concepts.


GRADE 7

The seventh grade mathematics curriculum, in conjunction with the sixth and eighth grade mathematics program, provides the equivalent of a first-year algebra program. It is an integrated curriculum where concepts are incorporated from algebra, number and operations, geometry, data and probability. Units emphasize particular strands, though the strands are connected and integrated throughout the course. The students are expected to develop an understanding in the following areas:

Algebra
  • develop and apply the properties of exponents to solve algebraic problems
  • write algebraic expressions to represent situations and patterns
  • apply the distributive property to expand and factor expressions
  • simplify expressions by combining like terms
  • solve single-variable linear equations in which the variable appears on both sides
  • recognize linear relationships from multiple representations
  • describe, draw, and calculate slope on a coordinate grid

Geometry

  • evaluate and apply formulas for volume and surface area
  • construct formulas
  • apply ideas about similarity and scale factor
  • explain the relationships between scale factor and the surface area and volumes
  • plot points in all four quadrants
  • demonstrate the ability to use the distance formulas

Number and Operations

  • demonstrate proficiency with operations using signed numbers
  • analyze percent operations, including percent increase and percent decrease
  • demonstrate knowledge of ratios, rates, and proportions and solving problems that require comparing ratios and solving proportions.

Data and Probability

  • calculate probabilities in situations involving multipart outcomes
  • conduct simple simulations to find probabilities
  • design and interpret graphs using spreadsheet applications

LEVELS

Students in both level 1 and 2 will be expected to develop competency in the identified strands. The pace of instruction in level 1 will support student exploration projects that will draw upon their analytical aptitude while providing for additional enrichment opportunities.


GRADE 8

The eighth grade mathematics curriculum, in conjunction with the sixth and seventh grade mathematics program, provides the equivalent of a first-year algebra program. It is an integrated curriculum where concepts are incorporated from algebra, number and operations, geometry, data, and probability. Units emphasize particular strands, though the strands are connected and integrated throughout the course. The students are expected to develop an understanding in the following areas:

Algebra
  • solve linear inequalities, linear systems, quadratic equations
  • write and interpret linear equations
  • predict the effect of changing coefficients in graphs, e.g., y = ax2 + bx =+ c
  • identify functions and patterns from a table, a graph, or an equation
  • identify equivalent expressions

Geometry

  • recognize and describe reflectional and rotational symmetry
  • apply algebraic rules for similarity transformations, translations, and reflections

Number and Operations

  • apply the definition of square roots to estimates and simplify expressions
  • classify Real Numbers into subsets

Data and Probability

  • solve problems using combinations and permutations
  • design and interpret graphs using spreadsheet applications

LEVELS

Students in both level 1 and level 2 will be expected to develop competency in the identified strands. The pace of instruction in level 1 will support student exploration in extension projects that will draw upon their analytical aptitude while providing for additional enrichment opportunities


Other Middle School Programs
  • Mathematics


Elementary
Preschool-4
Elementary
Grade 5
High School
Grades 9-12


TOP OF PAGE