flagSouth Dakota
6th Grade Math

South Dakota 6th Grade Math Curriculum

Video lessons and practice for every 6th grade math topic. Aligned to South Dakota Math Standards so your child can keep up with class or get ahead.

South Dakota 6th Grade Math Curriculum | StudyPugHelp

Print

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.

South Dakota 6th Grade Math Topics

6th grade is a big year in math. Students in South Dakota move from whole-number arithmetic into the building blocks of algebra, geometry, and statistics. StudyPug covers every topic your child will encounter, aligned to South Dakota Math Standards.

Ratios, Rates, and Proportional Reasoning

Students learn to describe relationships between two quantities using ratio language and unit rates. They apply ratio and rate reasoning to solve real-world problems, including problems involving percentages and measurement conversions.

Number System: Fractions, Decimals, and Integers

6th graders divide fractions by fractions, fluently divide multi-digit numbers, and perform all four operations with multi-digit decimals. They also extend the number line to include negative numbers, understand absolute value, and plot points in all four quadrants of the coordinate plane.

Expressions and Equations

Students write and evaluate numerical expressions with whole-number exponents, use variables to represent unknowns, apply properties of operations to generate equivalent expressions, and solve one-step equations and inequalities of the form x + p = q and px = q.

Geometry

6th grade geometry covers finding areas of triangles, quadrilaterals, and polygons, calculating volumes of rectangular prisms with fractional edge lengths, drawing polygons in the coordinate plane, and finding surface area using nets.

Statistics and Probability

Students learn to identify statistical questions, describe data distributions by center and spread, display data in dot plots, histograms, and box plots, and summarize numerical data sets in context.

  • Ratios and unit rates
  • Fraction and decimal operations
  • Integers and the coordinate plane
  • Algebraic expressions and equations
  • Area, volume, and surface area
  • Data displays and statistical summaries