South DakotaSouth Dakota 5th Grade Math Curriculum
Video lessons and practice for every 5th grade math topic. Aligned to South Dakota Math Standards so your child keeps up with class and builds real confidence.
South Dakota 5th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
5.OA.A.1 | Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. |
5.OA.A.2 | Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. |
5.OA.B.3 | Generate 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. |
5.NBT.A.1 | Recognize 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. |
5.NBT.A.2 | Explain 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. |
5.NBT.A.3 | Read, write, and compare decimals to thousandths. |
5.NBT.A.4 | Use place value understanding to round decimals to any place. |
5.NBT.B.5 | Fluently multiply multi-digit whole numbers using the standard algorithm. |
5.NBT.B.6 | Find 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. |
5.NBT.B.7 | Add, 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. |
5.NF.A.1 | Add 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. |
5.NF.A.2 | Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. |
5.NF.B.3 | Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). |
5.NF.B.4 | Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. |
5.NF.B.6 | Solve real world problems involving multiplication of fractions and mixed numbers. |
5.NF.B.7 | Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. |
5.MD.3 | Recognize volume as an attribute of solid figures and understand concepts of volume measurement. |
5.G.1 | Use a pair of perpendicular number lines, called axes, to define a coordinate system. |
5.G.2 | Represent 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. |
5th Grade Math Topics Covered
South Dakota 5th grade math builds on foundational skills and introduces new concepts that prepare students for middle school. StudyPug covers all 26 topic areas aligned to South Dakota Math Standards, including numerical expressions, fractions, decimals, measurement, geometry, and the coordinate plane.
Fractions and Decimals
A major focus of 5th grade math is fractions and decimals. Students learn to add and subtract fractions with unlike denominators, multiply fractions by whole numbers and other fractions, and divide unit fractions by whole numbers. Decimal skills include reading and writing decimals to thousandths, rounding, and performing all four operations with decimals to hundredths.
- Add and subtract fractions with unlike denominators, including mixed numbers
- Multiply fractions and mixed numbers in real-world problems
- Divide unit fractions by whole numbers and whole numbers by unit fractions
- Add, subtract, multiply, and divide decimals to hundredths
Place Value and Powers of 10
Students deepen their understanding of place value by recognizing how digits shift when multiplied or divided by powers of 10. They use whole-number exponents to represent powers of 10 and apply this understanding to reading and comparing multi-digit numbers and decimals.
Algebraic Thinking and Expressions
5th graders are introduced to algebraic thinking by writing and evaluating simple numerical expressions using parentheses, brackets, and braces. They also generate and analyze two numerical patterns and graph ordered pairs on a coordinate plane.
- Evaluate expressions with parentheses, brackets, and braces
- Write simple expressions to record calculations
- Generate patterns and graph ordered pairs on a coordinate plane
Geometry and Volume
Students explore two-dimensional figures and learn to classify them in a hierarchy based on their properties. They are also introduced to volume as an attribute of three-dimensional figures, measuring volume by counting unit cubes and applying multiplication and addition formulas to solve real-world problems.
Measurement and Data
5th graders convert between different-sized units within the same measurement system and create line plots to display fractional measurement data. These skills connect math to real-world contexts and support data literacy.
StudyPug's video lessons and practice problems make every one of these topics accessible for South Dakota students. Get started today and help your child build the skills they need for 5th grade and beyond.