Math 7 Advanced

Avon Lake Curriculum Framework

Mathematics- 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.

Text Books:

enVision Mathematics Accelerated Grade 7

Online/Supplemental Materials:

SuccessMaker

Delta Math

Teacher created materials

Assessments: 

  1. Ohio State Test (OST) 

  2. Teacher created assessments

  3. Projects where appropriate

Standards/Learning Goals

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

Fourth 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

Revised 

September, 2023