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:
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Ohio State Test (OST)
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Teacher created assessments
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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