Grade Seventh Math

Grade Seventh Math

Advance your mathematical skills with comprehensive lessons covering operations with rational numbers, proportional relationships and linear equations, geometric constructions and transformations, statistical reasoning with random sampling, and probability models. Master algebraic thinking and prepare for higher-level mathematics.

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Integers

Master positive and negative integers, absolute value, and ordering.

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Operations with Integers

Apply all four operations with integers using rules and properties.

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Decimals

Work with decimal place value, comparing, and converting decimals.

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Operations with Decimals

Perform all operations with decimals fluently and accurately.

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Number Theory

Explore prime factorization, GCF, LCM, and divisibility rules.

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Fractions

Understand fractions, mixed numbers, and fraction equivalence.

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Operations with Fractions

Master all operations with fractions and mixed numbers fluently.

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Rational Numbers

Understand the complete system of rational numbers on the number line.

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Operations with Rational Numbers

Perform all operations with rational numbers including negatives.

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Exponents

Apply properties of integer exponents and scientific notation.

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Square Roots

Understand square roots, perfect squares, and irrational numbers.

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Ratios, Rates, and Proportions

Solve ratio, rate, and proportion problems using multiple strategies.

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Coordinate Plane

Graph and analyze points and figures in all four quadrants.

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Proportional Relationships

Analyze proportional relationships using tables, graphs, and equations.

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Percents

Solve percent problems including increase, decrease, and interest.

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Consumer Math

Apply math to real-world shopping, taxes, tips, and discounts.

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Units of Measurement

Convert units within and across measurement systems using ratios.

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Expressions

Write, simplify, and evaluate algebraic expressions with variables.

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Equivalent Expressions

Use properties to rewrite expressions in different equivalent forms.

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One-Variable Equations

Solve multi-step equations with variables on both sides.

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One-Variable Inequalities

Solve and graph inequalities on number lines and coordinate planes.

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Sequences

Analyze arithmetic and geometric sequences using patterns and rules.

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Slope

Calculate and interpret slope as rate of change in linear relationships.

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Two-Variable Equations

Graph linear equations and understand relationships between variables.

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Lines and Angles

Solve problems with angle relationships and parallel lines.

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Two-Dimensional Figures

Construct and analyze polygons, circles, and composite shapes.

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Three-Dimensional Figures

Analyze properties of prisms, pyramids, cylinders, cones, and spheres.

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Perimeter and Area

Calculate perimeter, area, and circumference of various shapes.

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Surface Area and Volume

Find surface area and volume of cylinders, cones, and spheres.

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Scale Drawings

Use scale factors to create and interpret scale drawings and models.

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Transformations

Perform translations, reflections, rotations, and dilations on figures.

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Congruence and Similarity

Understand congruent and similar figures using transformations.

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Data and Graphs

Display and interpret data using various graphs and plots.

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Statistics

Use random sampling and understand measures of center and variability.

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Probability

Develop probability models and find probabilities of compound events.

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Seventh Grade Math Critical Focus Areas

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Proportional Reasoning

Analyze proportional relationships and use them to solve problems

Rational Numbers

Master all operations with rational numbers and apply properties

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Linear Equations

Solve multi-step equations and graph linear relationships

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Geometric Reasoning

Use geometric transformations and understand similarity and congruence

Excel in Seventh Grade Mathematics

Build mastery in operations with rational numbers, proportional relationships, linear equations and inequalities, geometric transformations, and statistical reasoning through comprehensive lessons aligned with Common Core State Standards for seventh grade mathematics.