Academics > Curriculum > Middle School Mathematics


GRADE 6
Grade six students will continue to strengthen topics previously taught in elementary school to provide a foundation for future math courses, such as algebra. Standards outlined in the Massachusetts Curriculum Frameworks and the Common Core will be addressed including geometry of basic shapes, ratios and proportions, number theory, expressions and equations, and statistics and probability. Teachers expect that students are proficient in multiplication facts and other mental math skills.

Unit Pacing Highlights

Decimals

September - October

  • Place value 
  • Rounding 
  • Operations with decimals 
  • Order of operations

Coordinate Plane

November

  • Integers 
  • Number lines 
  • Four quadrant grids 
  • Absolute value 
  • Inequalities

Patterns & Variables

December

  • Algebraic expressions
  • Evaluating expressions 
  • Distributive property 
  • Independent and dependent variables
  • One step equations

Number Theory

January - February

  • Divisibility, multiples, factors
  • Comparing and ordering fractions
  • Solving proportions

Fractions

March - April

  • Operations with fractions
  • Customary unit conversions

Rates & Ratios

May - June

  • Unit rates 
  • Rate comparisons 
  • Fraction-decimal-percent conversions

 

GRADE 7
Grade 7 students will learn to develop an understanding of proportional relationships. Operations and rational numbers will be studied with expressions and linear equations. Students will solve problems involving scaled drawings with 2 and 3 dimensional shapes involving area, surface area, and volume. Teachers will guide students to draw inferences about populations based on samples.

Unit Pacing Highlights

Integers

September - October

  • Absolute value 
  • Operations with integers

Rational Numbers

October - November

  • Terminating and repeating decimals 
  • Comparing and ordering 
  • Operations with fractions 
  • Converting between systems

Expressions

November - December

  • Properties of operations
  • Distributive property
  • Simplifying expressions
  • Adding and subtracting and factoring linear expressions

Equations & Inequalities

December - January

  • Solving one- and two-step equations
  • Solving one- and two-step inequalities

Ratios & Proportions 

January - February

  • Rates and unit rates
  • Fnding and representing proportional relationships, slope, direct variation

Percent 

February - March

  • Percent of a number, estimation, solving with percent proportions, percent of change, tax and discounts

Probability 

March

  • Simple and compound events
  • Theoretical vs. experimental probability
  • Simulations, permutations 
  • Independent vs. dependent events

Statistics 

April

  • Predictions, samples, misleading graphs, visual representations

Geometric Figures 

May

  • Angles, triangles, scale drawings, 3D figures

Measuring Figures 

June

  • Area of circles, complex figures 
  • Volume of prisms and pyramids 
  • Surface area

 

GRADE 8
The 8th grade math program follows the five 8th grade common core national standards: The Number System, Expressions and Equations, Functions, Statistics and Probability and Geometry. The standards are addressed through the following conceptual categories: Real Numbers, Exponents and Roots, Equations in One Variable, Functions and Linear Relationships, Systems of Linear Equations, Parallel Lines, Angles, Pythagorean Theorem, Transformations, Congruence and Similarity, and Volume.

Unit Pacing Highlights

Real Numbers

Roots

Exponents

September - October

  • Powers and exponents
  • Multiplying, dividing, and powers of monomials 
  • Negative and zero exponents 
  • Scientific notation 
  • Roots

Equations with One Variable

October - November

  • One- and two-step equations 
  • Multi-step equations 
  • Variables on both sides

Functions & Linear Relationships

December - February

  • Patterns, relations, and functions 
  • Tables and graphs 
  • Constant rate of change 
  • Slope, slope-intercept form 
  • Graphing linear equations
  • Writing linear equations

Systems of Linear Equations

March

  • Solving systems of equations: by graphing, by elimination, by substitution, problem solving with systems of equations

Parallel Lines, Angles, Pythagorean Theorem

April

  • Parallel lines and transversals
  • Angles of triangles and polygons
  • Pythagorean Theorem
  • Distance between two points

Geometry

May - June

  • Transformations, congruence and similarity, volume

 

GRADE 8 ALGEBRA
This course is a combination of the five 8th grade common core national standards, with an extension into the 9th grade common core algebra standards. This course has a rigorous pace and the students will be challenged with problems that require higher-order thinking. The standards are addressed through the following conceptual categories: Real Numbers, Exponents and Roots, Equations in One Variable, Functions and Linear Relationships Systems of Linear Equations, Parallel Lines, Angles, Pythagorean Theorem, Transformations, Congruence and Similarity, and Volume.

Unit Pacing Highlights

Real Numbers

Roots

Exponents

September - October

  • Powers and exponents
  • Multiplying, dividing, and powers of monomials 
  • Negative and zero exponents 
  • Scientific notation 
  • Roots

Equations with One Variable

October - November

  • One- and two-step equations 
  • Multi-step equations 
  • Variables on both sides

Functions & Linear Relationships

December - February

  • Patterns, relations, and functions 
  • Tables and graphs 
  • Constant rate of change 
  • Slope, slope-intercept form 
  • Graphing linear equations
  • Writing linear equations
  • Parallel and perpendicular lines
  • Standard form, point-slope form

Systems of Linear Equations

March

  • Solving systems of equations: by graphing, by elimination, by substitution, problem solving with systems of equations

Parallel Lines, Angles, Pythagorean Theorem

April

  • Parallel lines and transversals
  • Angles of triangles and polygons
  • Pythagorean Theorem
  • Distance between two points

Geometry

May

  • Transformations, congruence and similarity, volume

Polynomials

June

  • Adding and subtracting polynomials
  • Factoring monomials
  • Multiplying binomials
  • Factoring trinomials
  • Quadratic equations