#### 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 polynomialsFactoring monomialsMultiplying binomialsFactoring trinomialsQuadratic equations