Mathematics Curriculum

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 two-dimensional shapes based on their properties (e.g., triangles, quadrilaterals)
  • Understanding and applying the properties of three-dimensional 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

• Problem-Solving and Reasoning:

• • Solving multi-step word problems involving all of the above concepts
  • Reasoning mathematically and justifying solutions using mathematical language and procedures
  • Applying mathematical concepts to real-world 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 non-proportional relationships
  • Proportion word problems

• Algebraic Expressions

• • • Understanding and using variables to represent quantities in real-world contexts
    • Writing, simplifying, and evaluating basic algebraic expressions
    • Solving one-step and multi-step 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

• Problem-Solving and Reasoning:

• • Applying mathematical problem-solving strategies to a variety of contexts, including real-world situations
  • Reasoning mathematically and justifying solutions using mathematical language and procedures
  • Analyzing patterns and making generalizations based on mathematical evidence

Math 5 Pre-Algebra 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/two-step/multi-step equations and word problems
•     Solving one/two step inequalities and word problems
•     Ration, Proportion, & Percent
•     Rates/unit rates and proportional versus non-proportional 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

Math 7 Pre-Algebra 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 one-step and multi-step equations and word problems
•     Solving one-step and multi-step inequalities and word problems

Ratio, Proportion, & Percent

•     Rates/unit rates and proportional versus non-proportional 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)
•     Slope-Intercept Form
•     Graphing a Linear Function in Slope-Intercept Form
•     Slope-Intercept 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:

•     Multi-Step 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