Math 7 Advanced

Avon Lake City Schools

Curriculum Framework

Grade Advanced Math 7

Course Overview:

Grade 7, Advanced mathematics focuses on integers, rational numbers, fractions, proportions, percentages, probability, equivalent expressions, exponents, equations, inequalities, populations/samples and geometry with an emphasis on solving real world problems. This course follows the Ohio State standards for seventh grade mathematics with additional standards from the eighth grade. This course includes many algebra topics to prepare students for algebra and advanced algebra. Advanced 7th grade math has an increased amount of rigor and pace with an emphasis on problem solving.

Textbook (Title and Publishing Company):

enVision Mathematics Accelerated Grade 7

Online/Supplemental Materials:

  • SuccessMaker
  • Delta Math
  • Teacher created materials

Assessments:

  • Ohio State Test (OST)
  • Teacher created assessments
  • Projects where appropriate

Content/Topics/Learning Goals

Subject to Pacing and Schedules

First Quarter

Expressions & Equations

  • Simplifying expressions
  • Evaluating expressions
  • Solving equations
  • Solving inequalities
  • Writing expressions for word phrases
  • Solving word problems using an equation
  • Single stage probability

Exponents, Radicals and Expressions

  • Simplifying exponential expressions
  • Evaluating exponential expressions
  • Simple metric system conversions
  • Adding and subtracting polynomials
  • Simplifying expressions using properties
  • Solving more complex word problems
  • Simplifying fractional exponents
  • Solving exponential equations
  • Multi-stage probability

Second Quarter

Monomials, Polynomials & Exponential Growth

  • Integer exponents
  • Multiplying and dividing monomials
  • Simple factoring
  • Exponential growth models

Rational Numbers

  • Fraction operations with and without variables
  • Terminating and repeating decimals
  • Factoring (GCF)
  • Factoring (Difference of 2 squares)
  • Factoring trinomials (grouping)
  • Simplifying multi-step fractions with variables
  • Simplifying complex fractions (with and without variables)
  • Permutations and combinations

Third Quarter

Solving Equations & Inequalities

  • Solving variety of equations
  • Solving and graphing inequalities
  • Solving absolute value equations
  • Word problems leading to equations
  • Work problems
  • Solving by clearing the fraction/decimal
  • Solving for a variable in a formula
  • Solving rational equations with restrictions
  • Solving quadratic equations by…
    (factoring, quadratic formula, completing the square)

Proportional Reasoning

  • Fraction, percent and decimal equivalents
  • Ratios, proportions and rates
  • Percent applications…
    (better buy, % of number, % increase/decrease, commissions, discounts, royalties, taxes and tips, simple and compound interest)
  • Scale drawings
  • Constant of proportionality
  • Graphs and tables of proportional relationships
  • Dimensional analysis

Forth Quarter

Two & Three Dimensional Geometry

  • Calculating areas and perimeters of 2-d shapes
  • Areas of composite 2-d shapes
  • Applications of area and perimeter
  • Applying Pythagorean Theorem
  • Volume and surface area

Algebra

  • Equations in 2 variables
  • Slope
  • Parallel and perpendicular lines
  • Writing equations
  • Graphing equations
  • Graphing systems of equations
  • Solving systems of equations using substitution and elimination
  • Word problems that lead to systems of equations
  • Graphing systems of inequalities

Updated: September, 2023