Middle School Math

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:

  1. Make sense of problems and persevere in solving them

  2. Reason abstractly and quantitatively

  3. Construct viable arguments and critique the reasoning of others

  4. Model with mathematics

  5. Use appropriate tools strategically

  6. Attend to precision

  7. Look for and make sense of structure

  8. 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:

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

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

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

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

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

  6. 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

 

 
 
Eighth Grade

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 Common Core 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, 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, 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 apply 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: