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 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.
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)
How many degrees are in right angles?
The answer is degrees.
Simplify to lowest terms.
GCF of 4 and 16 is 4: .
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: .
Is divisible by
The sum of the digits of is and is divisible by so is divisible by
Which is a factor of ?
is a multiple of :
How many ounces are in cups?
The answer is .
A rectangle has length cm and perimeter cm. What is its width in centimeters?
Perimeter , so . Then , so and
Is prime or composite?
has factors and , so it is composite.
The SBAC placement starts with this test's real coverage map and finds the right difficulty.