Mathematics Curriculum
Text(s) and Reference Materials:
TeacherGenerated Materials
Grade 4
Math 4 Honors:
 Number Sense and Operations:

 Understanding and performing operations with whole numbers, fractions, and decimals
 Interpreting and using parentheses and brackets in numerical expressions
 Understanding and applying simple order of operations
 Finding factors and multiples
 Understanding and applying equivalent fractions and decimals
 Measurement:

 Converting measurements within the same measurement system (e.g., inches to feet, meters to centimeters)
 Understanding and using formulas to calculate the area and perimeter of rectangles and squares (simple figures)
 Understanding and using formulas to calculate the volume of rectangular prisms
 Geometry:

 Classifying twodimensional shapes based on their properties (e.g., triangles, quadrilaterals)
 Understanding and applying the properties of threedimensional shapes (e.g., cubes, spheres)
 Understanding and using coordinate grids to represent points and shapes
 Data Analysis and Probability:

 Organizing, displaying, and interpreting data using various graphical representations (e.g., bar graphs, line plots)
 Analyzing and interpreting data from graphs and charts
 Understanding and applying basic concepts of probability (e.g., likelihood, outcomes)
 Patterns, Relations, and Algebra:

 Identifying and extending patterns and sequences
 Understanding and using variables and expressions to represent relationships
 Solving simple equations and inequalities
 ProblemSolving and Reasoning:

 Solving multistep word problems involving all of the above concepts
 Reasoning mathematically and justifying solutions using mathematical language and procedures
 Applying mathematical concepts to realworld situations
Math 4 Honors Advanced:
 Number Sense

 Mastery of arithmetic operations with whole numbers, fractions, decimals, and integers
 Understanding and applying the properties of rational numbers
 Estimating and approximating solutions to problems involving operations with rational numbers
 Ratios, proportions, and percentages
 Rates/unit rates and proportional versus nonproportional relationships
 Proportion word problems
 Algebraic Expressions


 Understanding and using variables to represent quantities in realworld contexts
 Writing, simplifying, and evaluating basic algebraic expressions
 Solving onestep and multistep equations and inequalities
 Understanding and applying the properties of operations to generate equivalent expressions

 Geometry:

 Understanding and applying the properties of geometric figures, including angles, polygons, circles, and solids
 Understanding and using formulas to calculate perimeter, area, surface area, and volume of geometric shapes
 Applying geometric concepts to solve problems involving coordinate geometry
 Scale drawings and models
 Similar figures
 Surface area
 Composite figure areas
 Data Analysis and Probability:

 Organizing, displaying, and interpreting data using various graphical representations
 Understanding and applying basic concepts of probability, including experimental and theoretical probability
 Analyzing and interpreting relationships in data sets
 ProblemSolving and Reasoning:

 Applying mathematical problemsolving strategies to a variety of contexts, including realworld situations
 Reasoning mathematically and justifying solutions using mathematical language and procedures
 Analyzing patterns and making generalizations based on mathematical evidence
Grade 5
Math 5 PreAlgebra Honors:
 Number Sense
 All operations of integers and fractions
 Factions, decimals, and percent conversions
 Algebraic Expressions
 Order of operations
 Translating and evaluating expressions
 Distributive property
 All operations expressions
 Equations & Inequalities
 Solving one/twostep/multistep equations and word problems
 Solving one/two step inequalities and word problems
 Ration, Proportion, & Percent
 Rates/unit rates and proportional versus nonproportional relationships
 Proportion word problems
 Scale drawings and models
 Similar figures
 Percent proportion and equation
 Discount, markup, tax, tip, commission
 Percent of change
Math 5 Honors:
 Fractions
 Geometry
 Long Division
 Long Multiplication
 Word Problems
 Percentage
 Decimals
 Perimeter and areas
 Factoring (GCF, LCM, LCD etc)
 Composite figures
 3D figures
 Volume and Surface Area applications
 Tree Diagrams
Grade 6
Math 6 PreAlgebra Honors:
Number Sense
 All operations of integers and fractions
 Fractions, decimals, and percent conversions
 Exponents
 Squares and square roots
Algebraic Expressions
 Order of operations
 Translating and evaluating expressions
 Distributive property
 All operations expressions
Equations & Inequalities
 Solving onestep and multistep equations and word problems
 Solving onestep and multistep inequalities and word problems
Ratio, Proportion, & Percent
 Rates/unit rates and proportional versus nonproportional relationships
 Proportion word problems
 Scale drawings and models
 Similar figures
 Percent proportion and equation
 Discount, markup, tax, tip, and commission
 Percent of change
Functions & Graphing
 The coordinate plane and graphing relations
 Graphing functions using a function table
 Multiple representations of functions: tables, graphs, equations, verbal descriptions
 Slope from a graph (positive and negative slope only)
 Slopeintercept form
 Graphing a linear function in slopeintercept form
 Slopeintercept form applications
Geometry
 Perimeter and area
 Composite figures
 3D figures
 Volume and surface area applications
Probability & Statistics
 Theoretical probability vs. experimental probability
 Tree diagrams
 Compound probability
 Mean, median, mode, and range
 Stem and leaf plots
Grade 7
Math 7 PreAlgebra Honors:
Number Sense
 All operations of integers and fractions
 Fractions, decimals, and percent conversions
 Exponents
 Squares and square roots
Algebraic Expressions
 Order of operations
 Translating and evaluating expressions
 Distributive property
 All operations expressions
Equations & Inequalities
 Solving onestep and multistep equations and word problems
 Solving onestep and multistep inequalities and word problems
Ratio, Proportion, & Percent
 Rates/unit rates and proportional versus nonproportional relationships Proportion word problems
 Scale Drawings and Models
 Similar figures
 Percent proportion and equation
 Discount, Markup, Tax, Tip, commission
 Percent of Change
Functions & Graphing
 The Coordinate Plane and Graphing Relations
 Graphing Functions using a Function Table
 Multiple Representations of Functions: Tables, Graphs, Equations
 Verbal Descriptions
 Slope from a Graph (positive and negative slope only)
 SlopeIntercept Form
 Graphing a Linear Function in SlopeIntercept Form
 SlopeIntercept Form Application
Geometry
 Perimeter and area
 Composite figures
 3D figures
 Volume and surface area applications
Probability & Statistics
 Theoretical probability vs. experimental probability
 Tree diagrams
 Compound probability
 Mean, median, mode, range
 Stem and leaf plots
Math 7 Algebra I Honors:
 MultiStep Equations & Inequalities
 Relations & Functions
 Linear Equations
 Direct & Inverse Variations
 Systems of Equations & Inequalities
 Exponents & Exponential Functions
 Polynomials & Factoring
 Quadratic Equations
 Rational Expressions & Equations
 Radical Expressions & Equations
Grade 8
Math 8 Geometry Honors:
 Quadrilaterals
 Transformations
 Circles
 Volume & Surface Area
 Probability
Math 8 Intermediate Algebra 2 Honors:
 Solving Equations
 Functions Review
 Complex Quadratics
 Polynomial Division
 Factoring Multivariable Polynomials
 Exponents and Logarithms
 Radicals
 Inequalities