Will this help with my child's 7th grade math homework?

Yes. StudyPug covers every strand in South Dakota's 7th grade math curriculum, including ratios, rational numbers, equations, geometry, and probability, so your child can get help on exactly what was assigned in class.

How long are the video lessons?

Most video lessons run between 5 and 15 minutes, focusing on one concept at a time. Students can pause, rewind, and rewatch as many times as they need before moving on to practice problems.

Is there a South Dakota state test for 7th grade math?

Yes. South Dakota assesses students in math through the SD Assessment program. 7th grade is one of the tested years, so staying on top of the SD Content Standards throughout the year is important preparation.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can practice 7th grade math at home, on the go, or anywhere else they have an internet connection.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how the content works before subscribing. There is also a 30-day money-back guarantee if you decide it is not the right fit after signing up.

SD 7th Grade Math Curriculum

Give your child the support they need to keep up with South Dakota's 7th grade math class. Lessons and practice problems cover every strand, from ratios and geometry to statistics and probability.

SD 7th Grade Math Curriculum

IDStandardStudyPug Topic

7.RP.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
- Rates with fractions
- Rates
- Proportions
7.RP.A.2Recognize and represent proportional relationships between quantities.
- Applications of ratios
- Ratios
- Understanding graphs of linear relationships
- Understanding tables of values of linear relationships
- Applications of linear relationships
7.RP.A.3Use proportional relationships to solve multistep ratio and percent problems.
- Identifying proportional relationships
- Representing percents
- Percents, fractions, and decimals
- Percent of a number
- Adding and multiplying percents
- Taxes, discounts, tips and more
- Simple interest
7.NS.A.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- Introduction to integer addition
- Adding integers
- Introduction to integer subtraction
- Subtracting integers
- Application of integer operations
7.NS.A.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- Multiplying and dividing monomials
- Understanding integer multiplication
- Multiplying integers
- Understanding integer division
- Dividing integers
7.NS.A.3Solve real-world and mathematical problems involving the four operations with rational numbers.
- Applications of integer operations
- Applications of fraction operations
7.EE.A.1Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- Common factors of polynomials
- Evaluating algebraic expressions
7.EE.A.2Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
- Factoring polynomials by grouping
7.EE.B.3Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
- Word problems of polynomials
- Order of operations (PEMDAS)
7.EE.B.4Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
- Solving two-step linear equations using addition and subtraction: ax + b = c
- Model and solve one-step linear equations: ax = b, x/a = b
- Solving two-step linear equations using multiplication and division: x/a + b = c
- Solving two-step linear equations using distributive property: a(x + b) = c
- Solving one - step equations: x + a = b
7.G.A.1Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
- Enlargements and reductions with scale factors
- Draw on coordinate planes
- Horizontal and vertical distances
7.G.A.2Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
- Parallel and perpendicular line segments
- Classifying triangles
- Perpendicular bisectors
7.G.A.3Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
- Nets of 3-dimensional shapes
7.G.B.4Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
- Circles and circumference
- Arcs of a circle
- Areas and sectors of circles
7.G.B.5Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
- Angle bisectors
7.G.B.6Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
- Volume of prisms
- Introduction to surface area of 3-dimensional shapes
- Surface area of prisms
- Introduction to volume
- Volume of cylinders
- Word problems relating volume of prisms and cylinders
- Surface area of cylinders
7.SP.A.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.
- Influencing factors in data collection
- Data collection
7.SP.A.2Use data from a random sample to draw inferences about a population with an unknown characteristic of interest.
- Reading and drawing bar graphs
7.SP.B.3Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
- Box-and-whisker plots and scatter plots
7.SP.B.4Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
- Application of averages
- Median and mode
- Mean
- Range and outliers
7.SP.C.5Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
- Introduction to probability
7.SP.C.6Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
- Organizing outcomes
7.SP.C.7Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
- Probability of independent events
7.SP.C.8Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
- Comparing experimental and theoretical probability
- Determining probabilities using tree diagrams and tables
- Probability of independent events
- Probability with Venn diagrams

7th Grade Math

About 7th Grade South Dakota math

South Dakota follows the SD Content Standards, organizing 7th grade math into strands that build algebraic and geometric reasoning. This course covers ratios and proportional relationships, operations with rational numbers, expressions and equations, geometry, and statistics and probability. StudyPug provides step-by-step lessons, practice problems, and worked examples aligned to every strand so students can get unstuck and move forward with confidence.

Strands: ratios and proportional relationships, rational number operations, expressions and equations, geometry, and statistics and probability
Step-by-step lessons and worked examples for every topic
Practice problems with instant feedback aligned to SD Content Standards
Progress tracking so families can see exactly where their child needs support

Curriculum topics by strand

Lessons and practice for every 7th grade math strand, aligned to the South Dakota SD Content Standards.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

South Dakota 7th Grade Math Topics

Ratios and Proportional Relationships: Computing unit rates with fractional ratios, recognizing and representing proportional relationships, and solving multistep ratio and percent problems.
The Number System: Adding, subtracting, multiplying, and dividing rational numbers, including work on the number line and real-world applications of all four operations.
Expressions and Equations: Applying properties of operations to linear expressions with rational coefficients, rewriting expressions to reveal relationships, solving multistep problems with positive and negative rational numbers, and constructing equations and inequalities from real-world situations.
Geometry: Scale drawings, constructing triangles from given conditions, cross-sections of three-dimensional figures, circle area and circumference, angle relationships, and area, volume, and surface area of composite figures.
Statistics and Probability: Using random samples to draw inferences about populations, comparing two data distributions, and finding probabilities of simple and compound events using models, tables, and tree diagrams.

How StudyPug Helps South Dakota 7th Grade Math Students

When a student gets stuck on a problem involving proportional relationships or rational number operations, StudyPug lets them go back to the exact lesson they need, watch the worked example at their own pace, and then try practice problems with instant feedback. You can start with our grade 7 math help to find lessons organized by strand, or jump straight to a 7th grade math quiz to see which topics need the most attention.

Parents looking for context on what comes next can also review the SD grade 6 math curriculum to understand the foundations their child built before entering 7th grade.

Aligned to South Dakota 7th Grade Math Curriculum

Every lesson and practice problem on StudyPug for this course is mapped to the South Dakota SD Content Standards for 7th grade math. Whether a student is working on circle formulas, compound probability, or solving inequalities, the content matches what South Dakota classrooms teach, so there is no gap between what is studied on StudyPug and what appears on schoolwork and the state assessment.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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