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6th Grade Math

Arkansas 6th Grade Math Curriculum

Video lessons and practice for every 6th grade math topic. Aligned to Arkansas Mathematics Standards so your child keeps up with class.

Arkansas 6th Grade Math Curriculum | StudyPugHelp

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ID

Standard

StudyPug Topic

6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems.

6.NS.A.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.

6.NS.B.2

Fluently divide multi-digit numbers using the standard algorithm.

6.NS.B.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

6.NS.5

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.

6.NS.6

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

6.NS.7

Understand ordering and absolute value of rational numbers.

6.NS.8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.

6.EE.A.1

Write and evaluate numerical expressions involving whole-number exponents.

6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.3

Apply the properties of operations to generate equivalent expressions.

6.EE.A.4

Identify when two expressions are equivalent.

6.EE.A.5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?

6.EE.B.6

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.

6.EE.B.7

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

6.EE.B.8

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.

6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.

6.G.A.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

6.G.A.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.

6.G.A.3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

6.G.A.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

6.SP.A.1

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

6.SP.A.2

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

6.SP.A.3

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

6.SP.B.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

6th Grade Math Topics Covered

Arkansas 6th grade math is packed with new ideas. StudyPug breaks every topic into clear, short video lessons so your child can learn at their own pace. Here is what the year covers:

  • Ratios and Rates: Understanding ratios, unit rates, and using ratio reasoning to solve real-world problems.
  • Fractions and Decimals: Dividing fractions by fractions, and fluently adding, subtracting, multiplying, and dividing multi-digit decimals.
  • Number System: Greatest common factor, least common multiple, positive and negative numbers, and ordering rational numbers on a number line.
  • Integers and the Coordinate Plane: Plotting points in all four quadrants and understanding absolute value.
  • Expressions and Equations: Writing and evaluating expressions with exponents, applying properties of operations, solving equations of the form x + p = q and px = q, and writing inequalities.
  • Geometry: Finding area of triangles and polygons, volume of rectangular prisms with fractional edges, surface area using nets, and using coordinates to find side lengths.
  • Statistics and Data: Statistical questions, measures of center and variation, dot plots, histograms, box plots, and summarizing data sets.

Aligned to Arkansas Mathematics Standards

Every lesson and practice problem on StudyPug is aligned to Arkansas Mathematics Standards. Arkansas uses the ACT Aspire assessment in grades 3–8, so 6th grade is a tested year. StudyPug makes sure your child is ready by covering each standard thoroughly with worked examples and practice.

How StudyPug Helps Arkansas 6th Graders

When your child gets stuck on homework, they can search for the exact topic, watch a short video explanation, and then try practice problems with instant feedback. There is no need to wait for the next day of school. StudyPug is available on any device — computer, tablet, or phone — so learning can happen anywhere.

  • Short video lessons that get straight to the point
  • Practice problems that mirror what Arkansas teachers assign
  • Step-by-step solutions so your child understands every step
  • Works at any time — after school, on weekends, before a test

Building Skills for 7th Grade and Beyond

The skills learned in 6th grade math — ratios, integers, expressions, and equations — form the foundation for 7th grade pre-algebra and beyond. StudyPug helps Arkansas students build confidence now so they are ready for more advanced math in the years ahead.