South Dakota State Standards for Math

Instructor: A Ray Tatum

A. Ray has taught junior high, high school and college English and has a master's degree in curriculum.

The state of South Dakota uses Common Core State Standards in math for grades K-12. This article provides an overview of what the standards encompass and what is covered at each grade level.

Math Standards for South Dakota

South Dakota's math standards are divided into two broad categories, practice and content. Practice standards apply to each grade level, as they help to ensure students develop a complete understanding of the math concepts they are presented with. Content standards are specific for each grade up to eighth, with high school standards divided into concept categories.

Standards for Mathematical Practice

The Standards for Mathematical Practice are ways in which instructors are encouraged to engage students in math. These standards are intended to facilitate better understanding of content as well as overall student achievement. When curricula, testing and teacher training initiatives are designed, these practices should be primary in that development. The practices are:

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics
  • Use appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure
  • Look for and express regularity in repeated reasoning

Standards for Mathematical Content

The Standards for Mathematical Content address the specific concepts and skills K-8 students should learn each year. They also outline broader fields of inquiry for high school students. It is up to the teacher to determine which concepts at their given grade level have the most potential of crossing between the Standards for Mathematical Content and the Standards for Mathematical Practice. These cross sections should be stressed with the time allotment and energies needed to best meet the criteria of the curriculum, testing and student progress.


Instruction in kindergarten should follow two main areas of learning: working with whole numbers, using sets of objects, and working on the descriptions of shapes and space. Teachers should devote the most time towards numbers.

1st Grade

The standards for first grade address knowledge of addition and subtraction and strategies for adding and subtraction up to 20; understanding whole numbers and place value as well as groups of 10 and 1's; measuring length as specific number units; and creating geometric shapes and understanding their importance.

2nd Grade

Areas of study for second graders include further exploration of base ten; expansion of addition and subtraction; measurement units; and the advanced description and analysis of shapes.

3rd Grade

Third graders are expected to demonstrate proficiency in using multiplication and division; understanding fractions and fractions with a numerator; calculating area for rectangular shapes; and analysis of two dimensions.

4th Grade

In fourth grade, students should learn about multi-digit multiplication and finding quotients with multi-digit dividends; adding and subtracting fractions with like denominators and multiplication of fractions by whole numbers; and analyzing and classifying geometric shapes using properties such as parallel or perpendicular sides, angle measurement, and symmetry.

5th Grade

Areas stressed for fifth graders include detailed understanding of adding and subtracting fractions as well as a lesser focus on multiplying and dividing fractions; dividing with two-digit divisors and working with decimals and whole number/decimal operations; and adding the concept of volume measurement.

Elementary Math Tips

Use this Math for Kids Course to help your elementary students improve their mathematics skills. The course includes with short video lessons that make difficult subjects easier. It also offers interactive quizzes that allow children to apply the knowledge they have gained so far.

6th Grade

Sixth graders should be able to multiply and divide using ratio and rate to solve problems; show understanding of dividing fractions and extend number systems to include negative numbers; use mathematical expressions to solve problems; and use statistical measurement for basic analysis.

7th Grade

In seventh grade, students are expected to understand and apply proportions; perform operations that include rational numbers, expressions, and linear equations; solve area, surface area and volume problems using 2-D, 3-D, and other geometric shapes; problem solve using scale modeling and geometric constructions; and use data to solve population sampling.

8th Grade

Focus areas for eighth graders include understanding basic algebra and linear equations; performing geometric examinations of the Pythagorean theorem, 2 and 3-dimensional space with the use of distance, angle, and other geometrical applications; and grasping the concept of function as a rule.

Middle School Math Tips

This 6th-8th Grade Math course is designed to reinforce what middle schoolers are learning in the classroom. Students can review these lessons as often as they like. They can also print worksheets for extra practice offline.

High School

Students in South Dakota are expected to utilize the mathematics knowledge they have gained systematically throughout grades K-8 as a base for more advanced concepts in high school. High school math standards are organized by content areas rather than individual grade level achievement. These include:

Conceptual CategoryTopics Covered
Number and QuantityThe real and complex number systems; quantities; and vectors and matrix quantities
AlgebraExpressions and components; equations and inequalities; connections to functions and modeling
FunctionsInterpreting and building functions; linear, quadratic, and exponential models; trigonometric functions
ModelingLinks classroom mathematics to life; choosing and using mathematics appropriately
GeometryCongruence, similarity, right triangles, and trigonometry; circles; expressing geometric properties with equations; geometric measurement and dimension; modeling with geometry
Statistics and ProbabilityInterpreting categorical and quantitative data; making inferences and justifying conclusions; conditional probability and the rules of probability; using probability to make decisions

High School Math Tips offers a number of courses for high school students that can aid them in these mathematics subjects. Students can test their knowledge with practice quizzes and more comprehensive chapter exams. As an added bonus, they can also submit questions to instructors if they get stuck on any of the topics. Our high school math courses include:

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