SBAC Grade 4 Concepts and Procedures. Practice it free.

Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency. Content is drawn from the Grade 4 clusters listed as targets below, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. This Grade 4 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grade 4Claim 19 mapped skills
What the test measures

Concepts and Procedures skills

  1. Target A: Use the four operations with whole numbers to solve problems

  2. Target B: Gain familiarity with factors and multiples

  3. Target C: Generate and analyze patterns

  4. Target D: Generalize place value understanding for multi-digit whole numbers

  5. Target E: Use place value understanding and properties of operations to perform multi-digit arithmetic

  6. Target F: Extend understanding of fraction equivalence and ordering

  7. Target G: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

  8. Target H: Understand decimal notation for fractions, and compare decimal fractions

  9. Target I: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

  10. Target J: Represent and interpret data

  11. Target K: Geometric measurement: understand concepts of angle and measure angles

  12. Target L: Draw and identify lines and angles, and classify shapes by properties of their lines and angles

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — national

How the SBAC reports it

Smarter Balanced math is organized into four claims with published assessment targets (Mathematics Content Specifications). Claim 1 (Concepts and Procedures) publishes per-grade assessment targets for grades 3-8 and high school, each a verbatim CCSS-M cluster heading (e.g. grade 3 Target A is cluster 3.OA.A); Claims 2-4 are cross-cutting process claims whose targets are constant across grades and draw on the same grade-level content. On score reports, Claims 2 and 4 are combined into a single reporting category, so three claim scores accompany the overall math score.

Blueprint & weighting

Content Specifications (Reporting Categories section): the total mathematics score is a weighted composite of the four claims — Claim 1 (Concepts and Procedures) contributes roughly 50%, Claim 3 (Communicating Reasoning) roughly 25%, and combined Claims 2 and 4 (Problem Solving / Modeling and Data Analysis) about 25%. The summative blueprint (as of 2018-19) publishes item counts per test event rather than percentages: Claim 1 is 17-20 items in grades 3-5, 16-20 in grades 6-8, and 19-22 in grade 11; the Claim 2/4 and Claim 3 reporting categories are 8-10 items each, totaling 18-20 across the two.

Try it now

8 free questions · 0/0 correct

Practice playeasy

How many degrees are in 33 right angles?

The answer is 270270 degrees.

Practice playeasy

Simplify 416\dfrac{4}{16} to lowest terms.

GCF of 4 and 16 is 4: 4÷416÷4=14\dfrac{4 \div 4}{16 \div 4} = \dfrac{1}{4}.

Practice playeasy

A line plot shows value 5: 1 X's, value 6: 3 X's, value 7: 2 X's. How many data points in all?

Add the X counts: 1+3+2=61 + 3 + 2 = 6.

Practice playeasy

Is 8181 divisible by 9?9\textsf{?}

The sum of the digits of 8181 is 8+1=9,8 + 1 = 9\textsf{,} and 99 is divisible by 9,9\textsf{,} so 8181 is divisible by 9.9\textsf{.}

Practice playeasy

Which is a factor of 3636?

3636 is a multiple of 99: 9,9\textsf{,} 18,18\textsf{,} 27,27\textsf{,} 36,36\textsf{,} \ldots

Practice playeasy

How many ounces are in 22 cups?

The answer is 1616.

Practice playeasy

A rectangle has length 88 cm and perimeter 4040 cm. What is its width in centimeters?

Perimeter P=2+2wP = 2\ell + 2w, so 40=2(8)+2w40 = 2(8) + 2w. Then 40=16+2w40 = 16 + 2w, so 2w=242w = 24 and w=12 cm.w = 12\text{ cm}\textsf{.}

Practice playeasy

Is 1515 prime or composite?

1515 has factors 1,1\textsf{,} 3,3\textsf{,} 5,5\textsf{,} and 1515, so it is composite.

Keep practicing

Turn concepts and procedures into game time.

The SBAC placement starts with this test's real coverage map and finds the right difficulty.