Will this help with my child's 5th grade math homework?

Yes. StudyPug covers every South Dakota 5th grade math topic, including fractions, decimals, and volume. Students can look up exactly what they are working on in class and work through step-by-step video lessons at their own pace.

How long are the video lessons?

Most video lessons run between 5 and 15 minutes, so they fit easily into a homework session. Each lesson focuses on one concept, making it simple to rewatch just the part your child needs without sitting through a full lecture.

Is there a state test for 5th grade math in South Dakota?

South Dakota administers the SD Assessment in math across multiple grades. Fifth grade is one of the assessed years, so regular practice with the SD Content Standards covered on StudyPug can help students prepare throughout the school year.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and desktop computers, so your child can watch lessons and complete practice problems whether they are at home, at school, or on the go. No app download is required.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how the content works before committing. Every paid plan also comes with a 30-day money-back guarantee, so there is no risk in getting started.

SD 5th Grade Math Curriculum

Give your child the practice and support they need to keep up with South Dakota's 5th grade math expectations, from fraction operations to coordinate planes and volume.

SD 5th Grade Math Curriculum

IDStandardStudyPug Topic

5.OA.A.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
- Counting forwards
- Applications of the four operations (BEDMAS without exponents)
5.OA.A.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
- Skip counting
- Introduction to solving equations with Variables
- Introduction to solving patterns in T-tables and equations
5.OA.B.3Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
- Patterns: Patterns with shapes
- Draw on coordinate planes
- Patterns: Describing patterns using tables and solving variables
- Patterns: Applications of solving problems using patterns
5.NBT.A.1Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
- Representing numbers: Cardinals
- Place value
- Base ten blocks and numbers
5.NBT.A.2Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
- Multiplying decimals by powers of 10
- Introduction to exponents
- Multiplying by 10, 100 and 1000
- Dividing decimals by power of 10
5.NBT.A.3Read, write, and compare decimals to thousandths.
- What are decimals?
5.NBT.A.4Use place value understanding to round decimals to any place.
- Comparing and ordering decimals and fractions
- Rounding numbers
5.NBT.B.5Fluently multiply multi-digit whole numbers using the standard algorithm.
- Multiplying multi-digit numbers
5.NBT.B.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
- Dividing multi-digit numbers
- Dividing using place value
- Dividing using area models
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- Multiplying decimals by integers
- Adding and subtracting decimals
- Multiplying decimals
- Dividing decimals
- Dividing decimals by integers
- Word problems for decimals and integers
5.NF.A.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
- Adding and subtracting fractions with unlike denominators
5.NF.A.2Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.
- Adding and subtracting mixed numbers
- Sums and differences: Word problems
5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
- What are fractions?
5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
- Fraction of a number
- Multiplying fractions and whole numbers
- Fractions: Multiplying proper fractions
5.NF.B.6Solve real world problems involving multiplication of fractions and mixed numbers.
- Applications of fraction operations
- Products and quotients: Word problems
5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
- Dividing fractions with whole numbers
5.MD.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
- Introduction to volume of rectangular prisms
5.G.1Use a pair of perpendicular number lines, called axes, to define a coordinate system.
- Classifying triangles
5.G.2Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
- Classifying quadrilaterals

5th Grade Math

About 5th Grade South Dakota math

South Dakota follows the SD Content Standards for mathematics, organizing 5th grade work into number sense, operations, fractions, measurement, data, and geometry. Students work with decimal place value, multi-digit multiplication and division, adding and subtracting fractions with unlike denominators, volume of solid figures, and graphing on a coordinate plane. StudyPug provides video lessons, step-by-step practice, and aligned exercises for every one of these strands.

Strands: operations and expressions, place value and decimals, fractions, measurement and data, geometry and coordinate plane
Video lessons covering every 5th grade South Dakota math topic
Practice problems and worked examples aligned to SD Content Standards
Progress tracking so parents and students can see exactly where to focus

Curriculum topics by strand

Browse lessons and practice problems organized by strand and aligned to the SD Content Standards for 5th grade math.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

South Dakota 5th Grade Math Topics

Operations and Algebraic Thinking: Writing and evaluating numerical expressions with parentheses, brackets, and braces; generating patterns from rules and graphing ordered pairs on a coordinate plane.
Number and Operations in Base Ten: Place value relationships in multi-digit numbers, powers of 10, reading and comparing decimals to thousandths, rounding decimals, fluent multi-digit multiplication, and whole-number division with two-digit divisors.
Number and Operations - Fractions: Adding and subtracting fractions with unlike denominators, multiplying fractions and mixed numbers, interpreting fractions as division, dividing unit fractions by whole numbers and whole numbers by unit fractions.
Measurement and Data: Converting measurement units within a system, displaying fractional data on line plots, and understanding and calculating volume using unit cubes and formulas.
Geometry: Using a coordinate system with perpendicular axes, graphing real-world problems in the first quadrant, and classifying two-dimensional figures by their properties in a hierarchy.

How StudyPug Helps South Dakota 5th Grade Math Students

When a student gets stuck on decimal operations or fraction word problems, StudyPug lets them go back to exactly the lesson they need without waiting for class. Every topic in the SD Content Standards is covered with a short video lesson followed by practice problems that give immediate feedback. Parents looking for a starting point can check out our grade 5 math help page to see the full topic list.

Students who want to measure their readiness before a classroom test can work through a grade 5 math practice test that mirrors the kinds of questions they will face. If your child is building on skills from last year, the SD grade 4 math curriculum page shows what was covered previously.

Aligned to South Dakota 5th Grade Math Curriculum

All StudyPug lessons for 5th grade math are built around the SD Content Standards, which means the concepts, vocabulary, and problem types your child encounters on StudyPug match what their South Dakota teacher is covering in class. From place value and decimal computation to volume and the coordinate plane, every strand in the state standards has dedicated lessons and practice so students stay on track all year.

Ready to put your Grade 5 Math skills to the test?

Jump into practice questions for every SD 5th grade math topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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