Math - 7+ Grade
Avon Lake Curriculum Framework
Mathematics- Grade 7+
Course Overview:
Grade 7+ mathematics focuses on integers, rational numbers, fractions, proportions, percentages, probability, equivalent expressions, exponents, equations, inequalities, populations/samples and geometry. This course follows the Ohio State standards for seventh grade mathematics with additional standards from the eighth grade course material. This plus course has an increased amount of rigor and pace, including all the topics/skills from the seventh grade standards, as well as some from grade 8 state standards.
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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enVision book tests
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Teacher created assessments
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Projects where appropriate
Standards/Learning Goals |
First Quarter |
Rational Numbers and Applications Whole numbers, integers Modeling with number lines Consecutive integers Multiplying and dividing Intro to rational numbers Factoring and Distributive Property Decimal Expansions Converting Decimals to Fractions (including non terminating decimals) Challenge Problems with Integers Fractions and Applications Converting decimals to fractions Operations with real numbers Extended operations with fractions and decimals (including variables) Complex Fractions Investigations of Probability Probability of single events Experimental vs Theoretical Permutations vs Combinations Probability of “At Least One” Event Charts and tree diagrams Probability of compound events Probability of dependent compound events Simulations to find probabilities |
Second Quarter |
Exponents and Applications Exponent Rules Compare and Order Real Numbers Evaluate Square Roots and Cube Roots Estimating Square Roots and Cube Roots Scientific Notation Applications of Scientific Notation Applications of Proportions Unit pricing Equivalent ratios Constant of proportionality (tables, graphs, and applications) Solving proportions Applications of proportions (scale drawings) Interpret unit rate as slope Compare distance vs. time graph with distance vs. time equation Derive y=mx and y=mx+b
Applications of Percents Converting decimals, percents, and fractions Connecting percents to proportions Percent equation Percent increase and decrease Applications of percents (discounts, sales, tax, tips) Commissions Simple interest Compound interest Markup and markdown Percent change Percent error |
Third Quarter |
Generate equivalent expressions Factoring Adding and subtracting expressions Analyze equivalent expressions Linear Equations and Inequalities Writing two step equations Solving two step equations Combining like terms Distributive property Applications of equations Linear inequalities Graphing solutions on a number line Solve linear equation in one-variable Solving literal equations Write equation of lines in slope intercept form |
Fourth Quarter |
Applications of plane figures Area of triangles and quadrilaterals Area of Circles Circumference of Circles Pythagorean Theorem Composite Shapes and areas Applications of 3-D Geometry Volumes of prisms and pyramids Surface Area of prisms and pyramids Multi step problems with prisms Application of Geometric Problems Supplementary and complementary angles Triangle sum theorem Vertical angles Angles on parallel lines |
Revised
September, 2023