SBAC Grade 5 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 5 clusters listed as targets below, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. This Grade 5 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 5Claim 17 mapped skills
What the test measures

Concepts and Procedures skills

  1. Target A: Write and interpret numerical expressions

  2. Target B: Analyze patterns and relationships

  3. Target C: Understand the place value system

  4. Target D: Perform operations with multi-digit whole numbers and with decimals to hundredths

  5. Target E: Use equivalent fractions as a strategy to add and subtract fractions

  6. Target F: Apply and extend previous understandings of multiplication and division to multiply and divide fractions

  7. Target G: Convert like measurement units within a given measurement system

  8. Target H: Represent and interpret data

  9. Target I: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

  10. Target J: Graph points on the coordinate plane to solve real-world and mathematical problems

  11. Target K: Classify two-dimensional figures into categories based on their properties

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

What is 68+48\dfrac{6}{8} + \dfrac{4}{8}?

68+48=54\dfrac{6}{8} + \dfrac{4}{8} = \dfrac{5}{4}.

Practice playeasy

What is the xx-coordinate of the point (1,4)?(1, 4)\textsf{?}

The first number in an ordered pair is the xx-coordinate. In (1,4)(1, 4) the xx-coordinate is 1.1\textsf{.}

Practice playeasy

Four beakers hold 12\tfrac{1}{2}, 12\tfrac{1}{2}, 14\tfrac{1}{4}, and 34\tfrac{3}{4} liters. If the liquid is shared equally among the 4 beakers, how much is in each?

Total =12+12+14+34=2= \tfrac12+\tfrac12+\tfrac14+\tfrac34 = 2 liters. Shared among 4: 2÷4=122 \div 4 = \tfrac12.

Practice playeasy

What is 8×1028 \times 10^{2}?

Multiplying by 10210^{2} appends 22 zeros to the whole number: 8×102=8008 \times 10^{2} = 800.

Practice playeasy

Find the volume of a rectangular prism with l=8l = 8, w=1w = 1, h=1h = 1.

Apply V=lwhV = l \cdot w \cdot h: 811=88 \cdot 1 \cdot 1 = 8.

Practice playeasy

What is 96÷896 \div 8?

8×12=968 \times 12 = 96, so 96÷8=1296 \div 8 = 12.

Practice playeasy

What is 83×883 \times 8?

83×8=66483 \times 8 = 664.

Practice playeasy

What is 5838\dfrac{5}{8} - \dfrac{3}{8}?

Same denominator: 538\dfrac{5 - 3}{8}. Result: 14\dfrac{1}{4}.

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.