The District’s middle school mathematics curriculum is based on the New York State Common Core Standards. The curriculum guides teachers on the content and depth of study warranted at each grade level. Teachers use methodology that takes students from the concrete to the abstract and balances a combination of procedure and understanding. The Common Core Standards for Mathematical Practice describe varieties of expertise that middle school teachers seek to develop in our students. These Practices are:

Make sense of problems and persevere in solving them

Reason abstractly and quantitatively

Construct viable arguments and critique the reasoning of others

Model with mathematics

Use appropriate tools strategically

Attend to precision

Look for and make sense of structure

Look for and express regularity in repeated reasoning.

Additionally, when creating lessons or designing curriculum, teachers are also guided by the Principals of School Mathematics as outlined by the National Council of Teachers of Mathematics (NCTM). These Principals are:

Equity: Excellence in mathematics education requires equity—high expectations and strong support for all students.

Curriculum: A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades.

Teaching: Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.

Learning: Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.

Assessment: Assessment should support the learning of important mathematics and furnish useful information to both teachers and student.

Technology: Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.

Middle School Math Courses:

Sixth Grade

Grade 6 classes are heterogeneously grouped. The course covers the sixth grade curriculum and begins the seventh grade curriculum.

Students will:

evaluate expressions using rational numbers

apply properties in various problem solving situations throughout the year

solve one-step and two-step algebraic equations using the algebraic process with rational numbers

use algebra in various problem solving situations

explore basic number theory

use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes

use ratio, proportion and percentages for problem solving and application

Seventh Grade

Grade 7 classes are split to Grade Level (Math 7) and Advanced (Advanced Math 7). The Math 7 course completes the seventh grade curriculum and introduces some eighth grade curriculum. The Advanced Math 7 course completes the seventh grade and most eighth grade curricula.

Math 7 students will:

identify real numbers and non-real numbers and use real number concepts to evaluate numerical and algebraic expressions and apply the order of operations

factor out a monomial from an algebraic expression

solve multi-step equations including with variables on both sides

solve and graph inequalities

solve word problems algebraically

apply ratios, rates and unit rates (constant of proportionality) and solve problems involving proportional relationships

graph proportional relationships

solve problems related to percent change, discount, markup, sales tax, simple interest

collect and analyze data as they apply to samples & populations

interpret and analyze data

measure chance using probability

use the the coordinate plane to graph linear equations from a chart

apply concepts related to angles (parallel lines & transversals, triangles, quadrilaterals, and polygons)

evaluate formulas for area, perimeter & circumference including composite figures, surface area and volume (limited solid figures)

Advanced Math 7 students will:

identify real numbers and non-real numbers and use real number concepts to evaluate numerical and algebraic expressions and apply the order of operations

find & approximate square roots and cube roots

evaluate exponents and apply the laws of exponents

use scientific notation and perform operations in scientific notation

factor out a monomial from an algebraic expression

solve multi-step equations including with variables on both sides

solve and graph inequalities

solve word problems algebraically

apply ratios, rates and unit rates (constant of proportionality) and solve problems involving proportional relationships

graph proportional relationships

apply concepts of proportion & equation to solve problems related to percent change, discount, markup, sales tax, simple interest

collect and analyze data as they apply to samples & populations

interpret and analyze data

measure chance using probability

use the the coordinate plane to graph linear equations from a chart

graph transformations such as translations, reflections, rotations, and dilations

apply concepts related to angles (parallel lines & transversals, triangles, quadrilaterals, and polygons)

evaluate formulas for area, perimeter & circumference including composite figures, surface area and volume

apply algebra skills to solve problems related to Pythagorean Theorem

Grade 8 classes are split to Level 1, Level 2 and Level 3. Level 1 completes the eighth grade curriculum and begins a few ninth grade topics. Levels 2 and 3 complete the Algebra 1 course which culminates in the New York State Algebra 1 Regents exam at the end of the year.

Level 1 students will:

Simplify and evaluate expressions using order of operations, integers and real numbers

Solve multi-step equations and inequalities

Transform equations to a given variable

Apply algebraic concepts to write and solve word problems

Define, evaluate and recognize various functions

Relate a story to a graph

Graphing linear equations and inequalities using slope-intercept

Create a scatterplot with a line of best fit

Write the equation of a line given certain information

Solve linear systems of equations by graphing, substitution and elimination

Apply systems of equations to solve word problems

Review ratio, proportion and percent applications

Apply the laws of exponents

Perform operations with polynomials

Factor polynomials

Simplify and perform operations with radicals

Apply the Pythagorean Theorem

Level 2 and 3 students will:

Simplify and evaluate expressions using order of operations and real numbers

Solve multi-step equations and inequalities

Transform equations to a given variable

Apply algebraic concepts to write and solve word problems

Define, evaluate, recognize and graph functions including step, piecewise, linear, quadratic, cubic and square root

Relate functions to various contexts

Graphing linear equations and inequalities using slope-intercept and standard forms

Create a scatterplot with a line of best fit

Write the equation of a line given certain information

Solve linear systems of equations by graphing, substitution and elimination

Graphing systems of linear inequalities

Apply systems of equations to solve word problems

Apply the laws of exponents

Examine exponential growth and decay functions

Perform operations with polynomials

Factor polynomials

Solve quadratic equations by factoring, using square roots, completing the square and the quadratic formula

Graph quadratic equations including the use of vertex form

Solve linear-quadratic systems graphically and algebraically

- Simplify and perform operations to radical expressions
Simplify and perform operations to rational expressions

Solve rational equations

Simplify and perform operations with radicals

Apply the Pythagorean Theorem

Apply transformations to functions

Examine one and two variable statistical measures

Identify and apply arithmetic and geometric sequences

Middle School Course Flow Chart: