Grade Sixth Math

Grade Sixth Math

Master middle school mathematics with comprehensive lessons covering ratios and proportional relationships, the rational number system including integers, algebraic expressions and equations, geometric measurement including surface area and volume, and statistical reasoning. Build fluency in all operations with fractions, decimals, and negative numbers.

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Add and Subtract Whole Numbers

Fluently add and subtract multi-digit whole numbers using standard algorithms.

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Multiply Whole Numbers

Fluently multiply multi-digit whole numbers using standard algorithms.

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Divide Whole Numbers

Fluently divide multi-digit numbers using the standard algorithm.

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Exponents

Write and evaluate numerical expressions involving whole-number exponents.

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Mixed Operations: Whole Numbers

Solve multi-step problems with all four operations on whole numbers.

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Number Theory

Find GCF, LCM, prime factorization, and apply number theory concepts.

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Fractions and Decimals

Convert between fractions and decimals fluently and understand equivalence.

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Add and Subtract Decimals

Fluently add and subtract multi-digit decimals using standard algorithms.

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Multiply and Divide Decimals

Fluently multiply and divide multi-digit decimals using algorithms.

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Mixed Operations: Decimals

Solve multi-step problems with all decimal operations combined.

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Add and Subtract Fractions

Add and subtract fractions with unlike denominators fluently.

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Multiply Fractions

Multiply fractions and mixed numbers fluently and solve word problems.

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Divide Fractions

Divide fractions by fractions using visual models and algorithms.

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Mixed Operations: Fractions

Solve multi-step problems with all fraction operations combined.

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±

Integers

Understand positive and negative integers, opposites, and absolute value.

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Operations with Integers

Add, subtract, multiply, and divide integers using number lines and rules.

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Rational Numbers

Understand the complete system of rational numbers including negatives.

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Coordinate Plane

Graph points in all four quadrants and solve problems using coordinates.

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Ratios and Rates

Understand ratios, rates, and unit rates to solve real-world problems.

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Proportional Relationships

Use tables, graphs, and equations to represent proportional relationships.

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Percents

Understand percents as rates per 100 and convert between forms.

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Percents of Numbers

Find percents of numbers and solve percent problems in real contexts.

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Units of Measurement

Convert measurement units within and across systems using ratios.

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Consumer Math

Apply percents and ratios to shopping, discounts, taxes, and tips.

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Expressions

Write, read, and evaluate algebraic expressions with variables.

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Equivalent Expressions

Apply properties to generate equivalent algebraic expressions.

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One-Variable Equations

Solve one-variable equations using inverse operations and reasoning.

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One-Variable Inequalities

Write and graph solutions to one-variable inequalities on number lines.

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Two-Variable Equations

Represent relationships between dependent and independent variables.

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Lines and Angles

Understand relationships between lines, angles, and angle measurements.

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Two-Dimensional Figures

Classify and analyze properties of 2D shapes including polygons and circles.

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Three-Dimensional Figures

Identify and describe 3D solids including prisms, pyramids, and cylinders.

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Perimeter and Area

Calculate perimeter and area of polygons and composite figures.

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Surface Area and Volume

Find surface area and volume of rectangular prisms and other solids.

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Data and Graphs

Display numerical data in plots, histograms, and box plots.

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Statistics

Calculate mean, median, mode, range, and understand statistical variability.

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Probability

Understand probability as a measure of likelihood of events occurring.

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Financial Literacy

Apply math to banking, budgeting, saving, investing, and financial planning.

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Sixth Grade Math Critical Focus Areas

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Ratios & Proportions

Connect ratio reasoning to multiplication and division to solve problems

Rational Number System

Extend understanding to negative numbers and all operations with rationals

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Algebraic Thinking

Write and solve expressions, equations, and inequalities with variables

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Geometric Measurement

Solve problems involving area, surface area, and volume of solids

Master Middle School Mathematics

Build proficiency in ratio and proportional reasoning, the complete rational number system including negative numbers, algebraic expressions and equations, geometric measurement, and statistical thinking through comprehensive lessons aligned with Common Core State Standards for sixth grade mathematics.