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
 Fractiondecimalpercent 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 twostep equations
 Solving one and twostep 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 twostep equations
 Multistep equations
 Variables on both sides

Functions & Linear Relationships

December  February

 Patterns, relations, and functions
 Tables and graphs
 Constant rate of change
 Slope, slopeintercept 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 higherorder 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 twostep equations
 Multistep equations
 Variables on both sides

Functions & Linear Relationships

December  February

 Patterns, relations, and functions
 Tables and graphs
 Constant rate of change
 Slope, slopeintercept form
 Graphing linear equations
 Writing linear equations
 Parallel and perpendicular lines
 Standard form, pointslope 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

