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6th Grade Math

Kansas 6th Grade Math Curriculum

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

Kansas 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 in Kansas

Kansas 6th grade math covers a wide range of concepts that build the foundation for middle school algebra and beyond. Students work through ratios and rates, fraction and decimal operations, integers, the coordinate plane, algebraic expressions, equations, inequalities, geometry, and statistics. All topics align to the Kansas Mathematics Standards, which guide what Kansas schools teach at every grade level.

Key Topics in Kansas 6th Grade Math

  • Ratios and Rates: Students learn to describe ratio relationships, understand unit rates, and use ratio reasoning to solve real-world problems.
  • Fractions and Decimals: Dividing fractions by fractions, fluently working with multi-digit decimals, and finding GCF and LCM.
  • Integers and the Number System: Understanding positive and negative numbers, plotting rational numbers on number lines, and working in all four quadrants of the coordinate plane.
  • Algebraic Expressions and Equations: Writing and evaluating expressions, applying properties of operations, solving equations of the form x + p = q and px = q, and writing inequalities.
  • Geometry: Finding areas of triangles and polygons, calculating volume of rectangular prisms with fractional edges, and using nets to find surface area.
  • Statistics: Recognizing statistical questions, understanding data distributions, displaying data in dot plots, histograms, and box plots, and summarizing data sets.

How StudyPug Helps Kansas 6th Graders

StudyPug breaks every Kansas Mathematics Standards topic into short, clear video lessons your child can watch at their own pace. After each lesson, practice problems let students check what they've learned. Whether your child needs help with tonight's homework or wants to get ahead before a test, StudyPug covers the full 6th grade year.

Preparing for the KAP Assessment

Kansas students in 6th grade take the Kansas Assessment Program (KAP) math test. StudyPug's content aligns to Kansas Mathematics Standards, so every topic your child practices on StudyPug is a topic that may appear on the KAP. Consistent practice with the concepts covered here helps build the confidence students need on test day.