South Dakota SBAC Grade 4 Math Free Worksheets: Printable Standards-Aligned Practice PDFs, Free

Ask a fourth grader what they are working on in math and you will hear a longer list than you did a year ago. Place value stretched into the hundred-thousands. Multiplication that no longer fits on fingers. Division that sometimes leaves something over. Fractions that are not just slices of pizza anymore but numbers with weight, numbers you can compare and add. Fourth grade is the year math stops being a handful of separate tricks and starts becoming a connected system — and that connection is both the promise of the year and the part that can overwhelm a child.

Think about how much arrives at once. A fourth grader is asked to see that the 7 in 70,000 means something different from the 7 in 700, to multiply a four-digit number by a one-digit number without losing a place, to divide and then decide what the leftover actually means. At the same time, fractions become real numbers — 2/3 and 4/6 naming the same amount, 5/8 sitting clearly between 1/2 and 1 on the number line. Decimals to the hundredths show up as another way to write those same fractions. None of it is impossibly hard. There is just a lot of it.

That is what makes it a foundational year. A student who learns to multiply 4-digit numbers by 1-digit numbers, to divide with remainders and understand what the remainder means, to find factors and multiples, to build equivalent fractions and add fractions with like denominators, to read decimals to the hundredths place, and to measure angles and convert units — that student walks into fifth grade steady. A student who skipped past the shaky parts spends fifth grade catching up.

These worksheets are built for the steady route. Whether your fourth grader is in Sioux Falls, Rapid City, Aberdeen, or Brookings, they offer one skill at a time, clearly laid out, with room to practice until it holds.

What’s on this page

This page collects 43 single-skill PDFs, each aligned to the South Dakota Mathematics Standards at Grade 4. Every file is deliberately narrow — one skill, fully practiced — so a child working on number patterns is not also juggling line plots, and a child learning to add mixed numbers is not distracted by area formulas.

Each PDF opens with a one-page Quick Review: the skill explained plainly, with one example worked all the way through. After that come 20 practice problems arranged from easy to hard, then 4 word problems that drop the skill into a real-world setting. The final page is a student-facing answer key written for the student — short, friendly explanations a fourth grader can read on their own and learn from.

Place Value & Multi-Digit Numbers

• Understanding Place Value Relationships — [4.NBT.A.1] each place is ten times the one to its right
• Reading and Writing Multi-Digit Numbers — [4.NBT.A.2] standard form, word form, and expanded form
• Comparing and Ordering Multi-Digit Numbers — [4.NBT.A.2] use place value and the symbols >, <, and =
• Rounding Multi-Digit Numbers — [4.NBT.A.3] round to any place from tens to hundred-thousands

Multi-Digit Arithmetic

• Adding Multi-Digit Whole Numbers — [4.NBT.B.4] the standard addition algorithm, with regrouping
• Subtracting Multi-Digit Whole Numbers — [4.NBT.B.4] the standard subtraction algorithm, including across zeros
• Multiplying by a One-Digit Number — [4.NBT.B.5] multiply up to four digits by a single digit
• Multiplying Two Two-Digit Numbers — [4.NBT.B.5] the area model and the standard algorithm side by side
• Dividing with Remainders — [4.NBT.B.6] divide and name the leftover as a remainder
• Finding Factors and Multiples — [4.OA.B.4] list every factor of a number and its first multiples
• Prime and Composite Numbers — [4.OA.B.4] exactly two factors means prime; more means composite

Operations & Problem Solving

• Multiplicative Comparisons — [4.OA.A.1] read ‘4 times as many’ as a multiplication statement
• Multiplicative Comparison Word Problems — [4.OA.A.2] solve ‘times as many’ stories with multiplication or division
• Multi-Step Word Problems — [4.OA.A.3] two or more operations in one real-world problem
• Interpreting Remainders — [4.OA.A.3] decide what the leftover means — round up, drop it, or use it
• Number and Shape Patterns — [4.OA.C.5] follow a rule and find the next terms in a pattern

Fractions

• Equivalent Fractions — [4.NF.A.1] the same amount written with different numbers
• Comparing Fractions — [4.NF.A.2] compare fractions with unlike denominators using benchmarks
• Adding Fractions with Like Denominators — [4.NF.B.3a] add the numerators, keep the denominator
• Subtracting Fractions with Like Denominators — [4.NF.B.3a] subtract the numerators, keep the denominator
• Decomposing Fractions — [4.NF.B.3b] break a fraction into a sum of unit fractions
• Adding and Subtracting Mixed Numbers — [4.NF.B.3c] work with the whole and fraction parts, including regrouping
• Multiplying a Fraction by a Whole Number — [4.NF.B.4b] repeated addition of a fraction, written as multiplication
• Fraction Word Problems — [4.NF.B.3d] real-world stories that call for adding or subtracting fractions

Decimals

• Fractions with Denominators 10 and 100 — [4.NF.C.5] rename tenths as hundredths and add the two
• Decimal Notation for Fractions — [4.NF.C.6] write tenths and hundredths as decimals, and back
• Comparing Decimals to Hundredths — [4.NF.C.7] line up the place values and compare with >, <, =
• Adding Decimal Fractions — [4.NF.C.5] add decimals to the hundredths place

Measurement & Data

• Converting Measurement Units — [4.MD.A.1] change from a larger unit to a smaller one
• Measurement Word Problems — [4.MD.A.2] length, weight, volume, and time in real situations
• Area of Rectangles — [4.MD.A.3] length times width — the space inside a rectangle
• Perimeter of Rectangles — [4.MD.A.3] the distance all the way around a rectangle
• Area and Perimeter Word Problems — [4.MD.A.3] decide whether a problem needs area or perimeter
• Line Plots with Fractions — [4.MD.B.4] read and use a line plot of fraction measurements

Angles

• Angles as Fractions of a Circle — [4.MD.C.5] a full turn is 360 degrees — find a fraction of it
• Measuring Angles with a Protractor — [4.MD.C.6] name angles acute, right, or obtuse by their measure
• Drawing Angles with Given Measures — [4.MD.C.6] know what a given degree measure should look like
• Adding and Subtracting Angles — [4.MD.C.7] an angle split into parts — find the missing part

Geometry

• Points, Lines, Rays, and Angles — [4.G.A.1] the building blocks of geometry and how to tell them apart
• Parallel and Perpendicular Lines — [4.G.A.1] lines that never meet, and lines that cross at a square corner
• Classifying Triangles — [4.G.A.2] sort triangles by their angles and their sides
• Classifying Quadrilaterals — [4.G.A.2] name four-sided shapes by their sides and angles
• Lines of Symmetry — [4.G.A.3] find the lines that fold a shape onto itself

How to use these worksheets at home

Think in small, regular doses rather than big pushes. A South Dakota winter has plenty of long evenings, but a fourth grader does not need a long one — fifteen focused minutes with a single PDF does more than an hour of half-attention. Pick two afternoons a week, make them predictable, and let the routine do the heavy lifting.

When you can, run related skills back to back. “Multiplying by One-Digit Numbers” sets up “Multiplying by Two-Digit Numbers,” and a place value page first makes both go smoother, since lining up the digits is the whole game. “Equivalent Fractions” makes “Comparing Fractions” feel easy — once a child can rewrite 3/4 as 6/8, deciding whether it beats 5/8 takes no guessing. “Adding Fractions with Like Denominators” leads into “Subtracting Fractions with Like Denominators,” and both open the door to mixed numbers, which are just whole numbers carrying a fraction along. Divide-with-remainders practice belongs right after a straight division page, so the leftover gets treated as information. And area and perimeter are worth doing as a pair — same rectangle, one question about covering it and one about fencing it. Pairing cousins this way means each worksheet starts from familiar ground.

After a few of those arithmetic pairs, mix in the measurement and geometry pages — measuring angles, classifying shapes, reading decimals to the hundredths. They use a different part of a child’s attention, and that change of pace keeps the habit fresh.

One more thing worth doing: keep the answer key for the end. Let your child finish the page first, then check it themselves and read the explanations for anything they missed. That self-check moment — noticing the slip, understanding the fix — is where a worksheet turns into actual learning. And every few weeks, hand back an older worksheet and have them redo a few problems from memory, so a skill that has faded gets caught with months to spare.

A note about SBAC at Grade 4

South Dakota fourth graders take the Smarter Balanced (SBAC) Mathematics assessment in the spring. It is built on the South Dakota Mathematics Standards, so the work on these worksheets and the work on the test grow from the same root.

The Grade 4 SBAC is not a memory quiz. It asks students to reason — to solve multi-step word problems, to explain their thinking, to work through tasks that take more than one move to finish. It might ask a child to justify why two fractions are equivalent, to interpret what a remainder means, or to compare two decimals and say how they know. It pairs straightforward questions with deeper ones that ask a student to apply a skill in an unfamiliar place. Because each PDF here targets one standard, the spring window becomes a checklist you can actually use: see what is solid, see what is shaky, and spend practice time only where it is needed.

A short closing

Fourth-grade math is a real climb, but it is a gradual one — taken one skill, one short sitting at a time. The whole list does not have to be conquered in a week, and a single-skill page is permission to slow to the pace a child can actually hold. Bookmark this page, print one PDF tonight, and let your child begin somewhere small. South Dakota kids do hard things well when the path is clear, and a worksheet on the table is a clear path forward.

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