Common Core State Standards for Mathematics (CCSS-M) — national
Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency. Content is drawn from the Grade 6 clusters listed as targets below, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. This Grade 6 reporting domain maps to 25 practice skills and 8 representative questions from the playable bank.
Common Core State Standards for Mathematics (CCSS-M) — national
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.
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.
Smarter Balanced Mathematics Content Specifications (July 2015)
Smarter Balanced Mathematics Summative Assessment Blueprint (as of 2018-19)
Smarter Content Explorer (per-target pages, e.g. Grade 3 Claim 1 Target A)
What is ?
.
What is ?
Multiply across: .
What is ?
Absolute value gives the non-negative distance from , so .
Find the area of a parallelogram with base and height .
Parallelogram area .
A rhombus has diagonals of length and What is its area?
The area of a rhombus is half the product of the diagonals:
Students answered the statistical question "How many snacks did you pack?" The data are . What is the mean of the data?
The mean describes the center: add the values and divide by how many there are. , and .
A student is writing questions about pets. Which of these is a statistical question?
A statistical question anticipates variability: many people or things can give different answers. "How many pets does each family on my street own?" asks about many families, so the numbers can differ. It is a statistical question.
Which of the following values lies strictly between and on the real number line?
The interval is open: and , so values must satisfy . Check each choice: (outside), is between the bounds, equals the upper endpoint (not strict), and equals the lower endpoint (not strict).
The SBAC placement starts with this test's real coverage map and finds the right difficulty.